$\chi_{b0}(1P), \chi_{b1}(1P)$

$$B(\chi_{b0}(1P) \rightarrow \gamma \mathcal{T}(1S)) \times B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b0}(1P)) \times B(\mathcal{T}(1S) \rightarrow \ell^{+} \ell^{-})$$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>1.67&plusmn;0.28 OUR AVERAGE</strong></td></tr></tbody></table>

<table><tr><td>2.9 &plusmn; 1.7</td><td>+0.1</td><td rowspan="2">26 LEES</td><td rowspan="2">14M</td><td rowspan="2">BABR</td><td rowspan="2">T(2S) &rarr; &gamma;&gamma;&mu;<sup>+</sup>&mu;<sup>-</sup></td></tr><tr><td>-1.4</td><td>-0.8</td></tr><tr><td>1.63 &plusmn; 0.24</td><td>&plusmn;0.15</td><td>87</td><td>KORNICER</td><td>11</td><td>CLEO</td><td>e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;&gamma;&ell;<sup>+</sup>&ell;<sup>-</sup></td></tr></table>

26 From a sample of $\mathcal{T}(2S) \rightarrow \gamma\gamma\mu^+\mu^-$ with one converted photon.

$$[B(\chi_{b0}(1P) \rightarrow \gamma \mathcal{T}(1S)) \times B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b0}(1P))] / [B(\chi_{b1}(1P) \rightarrow \gamma \mathcal{T}(1S)) \times B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P))]$$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.28&plusmn;0.37</td><td>27 LEES</td><td>14M</td><td>BABR</td><td>T(2S) &rarr; &gamma;&gamma;&mu;<sup>+</sup>&mu;<sup>-</sup></td></tr></tbody></table>

27 From a sample of $\mathcal{T}(2S) \rightarrow \gamma\gamma\mu^+\mu^-$ without converted photons.

### $\chi_{b0}(1P)$ REFERENCES

<table><tr><td>JIA</td><td>17A</td><td>PR D96 112002</td><td>S. Jia et al.</td><td>(BELLE Collab.)</td></tr><tr><td>LEES</td><td>14M</td><td>PR D90 112010</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>SHEN</td><td>12</td><td>PR D85 071102</td><td>C.P. Shen et al.</td><td>(BELLE Collab.)</td></tr><tr><td>KORNICER</td><td>11</td><td>PR D83 054003</td><td>M. Kornicer et al.</td><td>(CLEO Collab.)</td></tr><tr><td>LEES</td><td>11J</td><td>PR D84 072002</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ASNER</td><td>08A</td><td>PR D78 091103</td><td>D.M. Asner et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BRIERE</td><td>08</td><td>PR D78 092007</td><td>R.A. Briere et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ARTUSO</td><td>05</td><td>PRL 94 032001</td><td>M. Artuso et al.</td><td>(CLEO Collab.)</td></tr><tr><td>EDWARDS</td><td>99</td><td>PR D59 0532003</td><td>K.W. Edwards et al.</td><td>(CLEO Collab.)</td></tr><tr><td>WALK</td><td>86</td><td>PR D34 26111</td><td>W.S. Walk et al.</td><td>(Crystal Ball Collab.)</td></tr><tr><td>ALBRECHT</td><td>85E</td><td>PL 160B 331</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.)</td></tr><tr><td>NERNST</td><td>85</td><td>PRL 54 2195</td><td>R. Nernst et al.</td><td>(Crystal Ball Collab.)</td></tr><tr><td>HAAS</td><td>84</td><td>PRL 52 799</td><td>J. Haas et al.</td><td>(CLEO Collab.)</td></tr><tr><td>KLOPFEN...</td><td>83</td><td>PRL 51 160</td><td>C. Klopfenstein et al.</td><td>(CUSB Collab.)</td></tr><tr><td>PAUSS</td><td>83</td><td>PL 130B 439</td><td>F. Pauss et al.</td><td>(MPIM, COLU, CORN, LSU+)</td></tr></table>

$$\chi_{b1}(1P)$$

$$I^G(J^{PC}) = 0^+(1^{++})$$

J needs confirmation.

Observed in radiative decay of the $\mathcal{T}(2S)$, therefore $C = +$. Branching ratio requires E1 transition, M1 is strongly disfavored, therefore $P = +$. $J = 1$ from SKWARNICKI 87.

### $\chi_{b1}(1P)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>FROM average &gamma; energy below, using T(2S)</th></tr></thead><tbody><tr><td>9892.78&plusmn;0.26&plusmn;0.31</td><td>OUR EVALUATION</td><td>mass = 10023.26 &plusmn; 0.31 MeV</td></tr></tbody></table>

### $\gamma$ ENERGY IN $\mathcal{T}(2S)$ DECAY

<table><caption>WEIGHTED AVERAGE
129.63&plusmn;0.33 (Error scaled by 1.3)</caption><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>129.63&plusmn;0.33</td><td>OUR AVERAGE</td><td>Error includes scale factor of 1.3.</td><td>See the ideogram below.</td></tr><tr><td>129.58&plusmn;0.09</td><td>+0.29</td><td>ARTUSO</td><td>05 CLEO T(2S) &rarr; &gamma;X</td></tr><tr><td>128.8</td><td>&plusmn;0.4</td><td>EDWARDS</td><td>99 CLE2 T(2S) &rarr; &gamma;X(1P)</td></tr><tr><td>131.7</td><td>&plusmn;0.9</td><td>WALK</td><td>86 CBAL T(2S) &rarr; &gamma;&gamma;&ell;<sup>+</sup>&ell;<sup>-</sup></td></tr><tr><td>131.7</td><td>&plusmn;0.3</td><td>ALBRECHT</td><td>85E ARG T(2S) &rarr; conv.&gamma;X</td></tr><tr><td>130.6</td><td>&plusmn;0.8</td><td>NERNST</td><td>85 CBAL T(2S) &rarr; &gamma;X</td></tr><tr><td>129</td><td>&plusmn;0.8</td><td>HAAS</td><td>84 CLEO T(2S) &rarr; conv.&gamma;X</td></tr><tr><td>128.1</td><td>&plusmn;0.4</td><td>KLOPFEN...</td><td>83 CUSB T(2S) &rarr; &gamma;X</td></tr><tr><td>130.6</td><td>&plusmn;3.0</td><td>PAUSS</td><td>83 CUSB T(2S) &rarr; &gamma;&gamma;&ell;<sup>+</sup>&ell;<sup>-</sup></td></tr></tbody></table>

<figure><img src="image_696.png" /></figure>

### $\chi_{b1}(1P)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th><th>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> &gamma; T(1S)</td><td>(35.2 &plusmn; 2.0) %</td><td></td></tr><tr><td>Γ<sub>2</sub> D<sup>0</sup>X</td><td>(12.6 &plusmn; 2.2) %</td><td></td></tr><tr><td>Γ<sub>3</sub> π<sup>+</sup>π<sup>-</sup> K<sup>+</sup>K<sup>-</sup>π<sup>0</sup></td><td>(2.0 &plusmn; 0.6) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>4</sub> 2π<sup>+</sup>π<sup>-</sup> K<sup>-</sup>K<sup>0</sup><sub>S</sub></td><td>(1.3 &plusmn; 0.5) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>5</sub> 2π<sup>+</sup>π<sup>-</sup> K<sup>-</sup>K<sup>0</sup><sub>S</sub> 2π<sup>0</sup></td><td>&lt; 6 &times; 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>6</sub> 2π<sup>+</sup>2π<sup>-</sup>2π<sup>0</sup></td><td>(8.0 &plusmn; 2.5) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>7</sub> 2π<sup>+</sup>2π<sup>-</sup> K<sup>+</sup>K<sup>-</sup></td><td>(1.5 &plusmn; 0.5) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>8</sub> 2π<sup>+</sup>2π<sup>-</sup> K<sup>+</sup>K<sup>-</sup>π<sup>0</sup></td><td>(3.5 &plusmn; 1.2) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>9</sub> 2π<sup>+</sup>2π<sup>-</sup> K<sup>-</sup>K<sup>0</sup> 2π<sup>0</sup></td><td>(8.6 &plusmn; 3.2) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>10</sub> 3π<sup>+</sup>2π<sup>-</sup> K<sup>-</sup>K<sup>0</sup><sub>S</sub> π<sup>0</sup></td><td>(9.3 &plusmn; 3.3) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>11</sub> 3π<sup>+</sup>3π<sup>-</sup></td><td>(1.9 &plusmn; 0.6) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>12</sub> 3π<sup>+</sup>3π<sup>-</sup>2π<sup>0</sup></td><td>(1.7 &plusmn; 0.5) &times; 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>13</sub> 3π<sup>+</sup>3π<sup>-</sup> K<sup>+</sup>K<sup>-</sup></td><td>(2.6 &plusmn; 0.8) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>14</sub> 3π<sup>+</sup>3π<sup>-</sup> K<sup>+</sup>K<sup>-</sup>π<sup>0</sup></td><td>(7.5 &plusmn; 2.6) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>15</sub> 4π<sup>+</sup>4π<sup>-</sup></td><td>(2.6 &plusmn; 0.9) &times; 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>16</sub> 4π<sup>+</sup>4π<sup>-</sup>2π<sup>0</sup></td><td>(1.4 &plusmn; 0.6) &times; 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>17</sub> ω anything</td><td>(4.9 &plusmn; 1.4) %</td><td></td></tr><tr><td>Γ<sub>18</sub> ωX<sub>tetra</sub></td><td>&lt; 4.44 &times; 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>19</sub> J/ψJ/ψ</td><td>&lt; 2.7 &times; 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>20</sub> J/ψψ(2S)</td><td>&lt; 1.7 &times; 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>21</sub> ψ(2S)ψ(2S)</td><td>&lt; 6 &times; 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>22</sub> J/ψ(1S) anything</td><td>&lt; 1.1 &times; 10<sup>-3</sup></td><td>90%</td></tr><tr><td>Γ<sub>23</sub> J/ψ(1S)X<sub>tetra</sub></td><td>&lt; 2.27 &times; 10<sup>-4</sup></td><td>90%</td></tr></tbody></table>

### $\chi_{b1}(1P)$ BRANCHING RATIOS

$$\frac{\Gamma(\gamma \mathcal{T}(1S))/\Gamma_{\text{total}}}{\Gamma_1/\Gamma}$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.352&plusmn;0.020</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>0.356&plusmn;0.016</td><td>+0.019</td><td>964k</td><td>1 FULSOM</td><td>BELL T(2S) &rarr; &gamma;X</td></tr><tr><td>0.364&plusmn;0.017</td><td>&plusmn;0.019</td><td>2,3,4 LEES</td><td>14M</td><td>BABR T(2S) &rarr; &gamma;&gamma;&mu;<sup>+</sup>&mu;<sup>-</sup></td></tr><tr><td>0.331&plusmn;0.018</td><td>&plusmn;0.017</td><td>3222</td><td>4,5 KORNICER</td><td>11 CLEO e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;&gamma;&ell;<sup>+</sup>&ell;<sup>-</sup></td></tr><tr><td>0.350&plusmn;0.023</td><td>&plusmn;0.018</td><td>13k</td><td>6 LEES</td><td>11J BABR T(2S) &rarr; &gamma;X</td></tr><tr><td>0.34&plusmn;0.07</td><td>&plusmn;0.02</td><td>53</td><td>4,7,8 WALK</td><td>86 CBAL T(2S) &rarr; &gamma;&gamma;&ell;<sup>+</sup>&ell;<sup>-</sup></td></tr><tr><td>0.47&plusmn;0.18</td><td></td><td></td><td>KLOPFEN...</td><td>83 CUSB T(2S) &rarr; &gamma;&gamma;&ell;<sup>+</sup>&ell;<sup>-</sup></td></tr></tbody></table>

1 FULSOM 18 reports $[\Gamma(\chi_{b1}(1P) \rightarrow \gamma \mathcal{T}(1S))/\Gamma_{\text{total}}] \times [B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P))] = (2.45 \pm 0.02)^{-0.15} \times 10^{-2}$ which we divide by our best value $B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

2 LEES 14M quotes $\Gamma(\chi_{b1}(1P) \rightarrow \gamma \mathcal{T}(1S))/\Gamma_{\text{total}} \times \Gamma(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P))/\Gamma_{\text{total}} = (2.51 \pm 0.12) \%$ combining the results from samples of $\mathcal{T}(2S) \rightarrow \gamma\gamma\mu^+\mu^-$ with and without converted photons.

3 LEES 14M reports $[\Gamma(\chi_{b1}(1P) \rightarrow \gamma \mathcal{T}(1S))/\Gamma_{\text{total}}] \times [B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P))] = (2.51 \pm 0.12) \times 10^{-2}$ which we divide by our best value $B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

4 Assuming $B(\mathcal{T}(1S) \rightarrow \mu^+\mu^-) = (2.48 \pm 0.05)\%$.

5 KORNICER 11 reports $[\Gamma(\chi_{b1}(1P) \rightarrow \gamma \mathcal{T}(1S))/\Gamma_{\text{total}}] \times [B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P))] = (22.8 \pm 0.4) \times 1.2 \times 10^{-3}$ which we divide by our best value $B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

6 LEES 11J reports $[\Gamma(\chi_{b1}(1P) \rightarrow \gamma \mathcal{T}(1S))/\Gamma_{\text{total}}] \times [B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P))] = (24.1 \pm 0.6) \times 1.5 \times 10^{-3}$ which we divide by our best value $B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

7 WALK 86 reports $B(\mathcal{T}(2S) \rightarrow \gamma\chi_{b1}(1P)) \times B(\chi_{b1}(1P) \rightarrow \gamma\mathcal{T}(1S)) \times B(\mathcal{T}(1S) \rightarrow \ell^{+}\ell^{-}) = (5.8 \pm 0.9 \pm 0.7) \%$.

8 WALK 86 reports $[\Gamma(\chi_{b1}(1P) \rightarrow \gamma \mathcal{T}(1S))/\Gamma_{\text{total}}] \times [B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P))] = (23.4 \pm 3.63 \pm 2.82) \times 10^{-3}$ which we divide by our best value $B(\mathcal{T}(2S) \rightarrow \gamma \chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$\frac{\Gamma(D^0 X)/\Gamma_{\text{total}}}{\Gamma_2/\Gamma}$$

$$12.6\pm1.9\pm1.1$$

1 For $p_{D0} > 2.5$ GeV/c.

$$\frac{\Gamma(\pi^+\pi^- K^+K^-\pi^0)/\Gamma_{\text{total}}}{\Gamma_3/\Gamma}$$

$$2.0\pm0.6\pm0.1$$

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow \pi^+\pi^-K^+K^-\pi^0)/\Gamma_{\text{total}}] \times [B(\mathcal{T}(2S) \rightarrow \gamma\chi_{b1}(1P))] = (14 \pm 3 \pm 3) \times 10^{-6}$ which we divide by our best value $B(\mathcal{T}(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.
$$ \Gamma(2\pi^{+}\pi^{-}K^{-}K^{0}_{S})/\Gamma_{\text{total}} \quad \Gamma_{4/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.3±0.5±0.1</td><td>11</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 2\pi^{+}\pi^{-}K^{-}K^{0}_{S})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (9 \pm 3 \pm 2) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(2\pi^{+}\pi^{-}K^{-}K^{0}_{S}2\pi^{0})/\Gamma_{\text{total}} \quad \Gamma_{5/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;6</td><td>90</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>$\Gamma(2S) \rightarrow \gamma 2\pi^{+}\pi^{-}K^{-}2\pi^{0}$</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 2\pi^{+}\pi^{-}K^{-}K^{0}_{S}2\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] < 42 \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = 6.9 \times 10^{-2}$.

$$ \Gamma(2\pi^{+}2\pi^{-}2\pi^{0})/\Gamma_{\text{total}} \quad \Gamma_{6/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>8.0±2.4±0.4</td><td>46</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 2\pi^{+}2\pi^{-}2\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (55 \pm 9 \pm 14) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(2\pi^{+}2\pi^{-}K^{-}K^{-})/\Gamma_{\text{total}} \quad \Gamma_{7/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.5±0.5±0.1</td><td>18</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 2\pi^{+}2\pi^{-}K^{+}K^{-})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (10 \pm 3 \pm 2) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(2\pi^{+}2\pi^{-}K^{-}K^{-}\pi^{0})/\Gamma_{\text{total}} \quad \Gamma_{8/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.5±1.2±0.2</td><td>22</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 2\pi^{+}2\pi^{-}K^{+}K^{-}\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (24 \pm 6 \pm 6) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(2\pi^{+}2\pi^{-}K^{-}K^{-}2\pi^{0})/\Gamma_{\text{total}} \quad \Gamma_{9/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>8.6±3.2±0.4</td><td>26</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 2\pi^{+}2\pi^{-}K^{+}K^{-}2\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (59 \pm 14 \pm 17) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(3\pi^{+}2\pi^{-}K^{-}K^{0}_{S}\pi^{0})/\Gamma_{\text{total}} \quad \Gamma_{10/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>9.3±3.3±0.5</td><td>21</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 3\pi^{+}2\pi^{-}K^{-}K^{0}_{S}\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (64 \pm 16 \pm 16) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(3\pi^{+}3\pi^{-})/\Gamma_{\text{total}} \quad \Gamma_{11/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.9±0.6±0.1</td><td>25</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 3\pi^{+}3\pi^{-})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (13 \pm 3 \pm 3) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(3\pi^{+}3\pi^{-}2\pi^{0})/\Gamma_{\text{total}} \quad \Gamma_{12/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>17±5±1</td><td>56</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 3\pi^{+}3\pi^{-}2\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (119 \pm 18 \pm 32) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(3\pi^{+}3\pi^{-}K^{+}K^{-})/\Gamma_{\text{total}} \quad \Gamma_{13/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.6±0.8±0.1</td><td>21</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 3\pi^{+}3\pi^{-}K^{+}K^{-})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (18 \pm 4 \pm 4) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(3\pi^{+}3\pi^{-}K^{+}K^{-}\pi^{0})/\Gamma_{\text{total}} \quad \Gamma_{14/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>7.5±2.6±0.4</td><td>28</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 3\pi^{+}3\pi^{-}K^{+}K^{-}\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (52 \pm 11 \pm 14) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(4\pi^{+}4\pi^{-})/\Gamma_{\text{total}} \quad \Gamma_{15/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.6±0.9±0.1</td><td>24</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 4\pi^{+}4\pi^{-})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (18 \pm 4 \pm 5) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(4\pi^{+}4\pi^{-}2\pi^{0})/\Gamma_{\text{total}} \quad \Gamma_{16/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>14±5±1</td><td>26</td><td>1 ASNER</td><td>08A</td><td>CLEO</td></tr></tbody></table>

1 ASNER 08A reports $[\Gamma(\chi_{b1}(1P) \rightarrow 4\pi^{+}4\pi^{-}2\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))] = (96 \pm 24 \pm 29) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(\text{anything})/\Gamma_{\text{total}} \quad \Gamma_{17/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>4.9±1.3±0.6</td><td>51k</td><td>JIA</td><td>17A</td><td>BELL</td></tr></tbody></table>

$$ \Gamma(\chi_{\text{tetra}})/\Gamma_{\text{total}} \quad \Gamma_{18/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;44.4 × 10<sup>-5</sup></td><td>90</td><td>1 JIA</td><td>17A</td><td>BELL</td><td>e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr></tbody></table>

1 For a tetraquark state $X_{\text{tetra}}$, with mass in the range 1.16–2.46 GeV and width in the range 0–0.3 GeV. Measured 90% CL limits as a function of $X_{\text{tetra}}$ mass and width range from 3.3 × 10<sup>-5</sup> to 44.4 × 10<sup>-5</sup>.

$$ \Gamma(J/\psi J/\psi)/\Gamma_{\text{total}} \quad \Gamma_{19/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;2.7</td><td>90</td><td>1 SHEN</td><td>12</td><td>BELL</td><td>Γ(2S) → γψX</td></tr></tbody></table>

1 SHEN 12 reports < 2.7 × 10<sup>-5</sup> from a measurement of $[\Gamma(\chi_{b1}(1P) \rightarrow J/\psi J/\psi)/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))]$ assuming $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$.

$$ \Gamma(J/\psi\psi(2S))/\Gamma_{\text{total}} \quad \Gamma_{20/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.7</td><td>90</td><td>1 SHEN</td><td>12</td><td>BELL</td><td>Γ(2S) → γψX</td></tr></tbody></table>

1 SHEN 12 reports < 1.7 × 10<sup>-5</sup> from a measurement of $[\Gamma(\chi_{b1}(1P) \rightarrow J/\psi\psi(2S))/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))]$ assuming $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$.

$$ \Gamma(\psi(2S)\psi(2S))/\Gamma_{\text{total}} \quad \Gamma_{21/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;6</td><td>90</td><td>1 SHEN</td><td>12</td><td>BELL</td><td>Γ(2S) → γψX</td></tr></tbody></table>

1 SHEN 12 reports < 6.2 × 10<sup>-5</sup> from a measurement of $[\Gamma(\chi_{b1}(1P) \rightarrow \psi(2S)\psi(2S))/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P))]$ assuming $B(\Gamma(2S) \rightarrow \gamma\chi_{b1}(1P)) = (6.9 \pm 0.4) \times 10^{-2}$.

$$ \Gamma(J/\psi(1S)\text{anything})/\Gamma_{\text{total}} \quad \Gamma_{22/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.1 × 10<sup>-3</sup></td><td>90</td><td>JIA</td><td>17A</td><td>BELL</td><td>e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr></tbody></table>

$$ \Gamma(J/\psi(1S)X_{\text{tetra}})/\Gamma_{\text{total}} \quad \Gamma_{23/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;22.7 × 10<sup>-5</sup></td><td>90</td><td>1 JIA</td><td>17A</td><td>BELL</td><td>e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr></tbody></table>

1 For a tetraquark state $X_{\text{tetra}}$, with mass in the range 1.16–2.46 GeV and width in the range 0–0.3 GeV. Measured 90% CL limits as a function of $X_{\text{tetra}}$ mass and width range from 1.8 × 10<sup>-5</sup> to 22.7 × 10<sup>-5</sup>.

### $\chi_{b1}(1P)$ Cross-Particle Branching Ratios

$$ \Gamma(\chi_{b1}(1P) \rightarrow \gamma \Gamma(1S))/\Gamma_{\text{total}} \times \Gamma(\gamma \chi_{b1}(1P))/\Gamma_{\text{total}} \quad \Gamma_{1/\Gamma} \times \Gamma_{1/\Gamma}(2S)/\Gamma(2S) $$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>24.1±0.6±1.5</td><td>13k</td><td>LEES</td><td>11J</td><td>BABR</td></tr></tbody></table>

$$ B(\chi_{b1}(1P) \rightarrow \gamma \Gamma(1S)) \times B(\Gamma(2S) \rightarrow \gamma \chi_{b1}(1P)) \times B(\Gamma(1S) \rightarrow \ell^{+} \ell^{-}) $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>5.90±0.34 OUR AVERAGE</td><td></td><td></td><td></td><td>Error includes scale factor of 1.3. See the ideogram below.</td></tr></tbody></table>

6.86±0.47±0.44 1 LEES 14M BABR $\Gamma(2S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$

5.65±0.11±0.27 3222 KORNICER 11 CLEO $e^{+}e^{-} \rightarrow \gamma\gamma\ell^{+}\ell^{-}$

5.8 ±0.9±0.7 53 WALK 86 CBAL $\Gamma(2S) \rightarrow \gamma\gamma\ell^{+}\ell^{-}$

1 From a sample of $\Gamma(2S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$ with one converted photon.
WEIGHTED AVERAGE
5.90±0.34 (Error scaled by 1.3)

<figure><img src="image_697.png" /></figure>

$B(\chi_{b1}(1P) \rightarrow \gamma \tau(1S)) \times B(\tau(2S) \rightarrow \gamma \chi_{b1}(1P)) \times B(\tau(1S) \rightarrow \ell^+ \ell^-)$
(uits 10⁻⁴)

$$B(\chi_{b1}(1P) \rightarrow \gamma \tau(1S)) \times B(\tau(3S) \rightarrow \gamma \chi_{b1}(1P)) \times B(\tau(1S) \rightarrow \ell^+ \ell^-)$$

VALUE (units 10⁻⁵) EVTS

1.30±0.34 OUR AVERAGE

$$1.16 \pm 0.78 \pm 0.14$$

$$-0.67 \pm 0.16$$

$$1.33 \pm 0.30 \pm 0.23$$

1 LEES

KORNICER

50

14M BABR $\tau(3S) \rightarrow \gamma\gamma\mu^+\mu^-$

11 CLEO $e^+e^- \rightarrow \gamma\gamma\ell^+\ell^-$

11 CLEO $e^+e^- \rightarrow \gamma\gamma\ell^+\ell^-$

¹ From a sample of $\tau(3S) \rightarrow \gamma\gamma\mu^+\mu^-$ with converted photons.

$$B(\chi_{b2}(1P) \rightarrow pX + \bar{p}X)/B(\chi_{b1}(1P) \rightarrow pX + \bar{p}X)$$

VALUE

$$1.068 \pm 0.010 \pm 0.040$$

DOCUMENT ID

BRIERE

07 CLEO

$\tau(2S) \rightarrow \gamma\chi_{b,J}(1P)$

$$B(\chi_{b0}(1P) \rightarrow pX + \bar{p}X)/B(\chi_{b1}(1P) \rightarrow pX + \bar{p}X)$$

VALUE

$$1.11 \pm 0.15 \pm 0.20$$

DOCUMENT ID

BRIERE

07 CLEO

$\tau(2S) \rightarrow \gamma\chi_{b,J}(1P)$

χb1(1P) REFERENCES

<table><tr><td>FULSOM</td><td>18</td><td>PRL 121 232001</td><td>B.G. Fulsom et al.</td><td>(BELLE Collab.)</td></tr><tr><td>JIA</td><td>17A</td><td>PR D96 112002</td><td>S. Jia et al.</td><td>(BELLE Collab.)</td></tr><tr><td>LEES</td><td>14M</td><td>PR D90 112010</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>SHEN</td><td>12</td><td>PR D85 071102</td><td>C.P. Shen et al.</td><td>(BELLE Collab.)</td></tr><tr><td>KORNICER</td><td>11</td><td>PR D83 054003</td><td>M. Kornicer et al.</td><td>(CLEO Collab.)</td></tr><tr><td>LEES</td><td>11J</td><td>PR D84 072002</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ASNER</td><td>08A</td><td>PR D78 091103</td><td>D.M. Asner et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BRIERE</td><td>08</td><td>PR D78 092007</td><td>R.A. Briere et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BRIERE</td><td>07</td><td>PR D76 012005</td><td>R.A. Briere et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ARTUSO</td><td>05</td><td>PRL 94 032001</td><td>M. Artuso et al.</td><td>(CLEO Collab.)</td></tr><tr><td>EDWARDS</td><td>99</td><td>PR D59 032003</td><td>K.W. Edwards et al.</td><td>(CLEO Collab.)</td></tr><tr><td>SKWARNICKI</td><td>87</td><td>PRL 58 972</td><td>T. Skwarnicki et al.</td><td>(Crystal Ball Collab.) J</td></tr><tr><td>WALK</td><td>86</td><td>PR D34 2611</td><td>W.S. Walk et al.</td><td>(Crystal Ball Collab.) J</td></tr><tr><td>ALBRECHT</td><td>85E</td><td>PL 160B 331</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.)</td></tr><tr><td>ERNST</td><td>85</td><td>PR D54 2195</td><td>R. Nernst et al.</td><td>(Crystal Ball Collab.)</td></tr><tr><td>HAAS</td><td>84</td><td>PRL 52 799</td><td>J. Haas et al.</td><td>(CLEO Collab.)</td></tr><tr><td>KLOPFEN...</td><td>83</td><td>PRL 51 160</td><td>C. Klopfenstein et al.</td><td>(CUSB Collab.)</td></tr><tr><td>PAUSS</td><td>83</td><td>PL 130B 439</td><td>F. Pauss et al.</td><td>(MPIM, COLU, CORN, LSU+)</td></tr></table>



$h_b(1P)$

$$I^G(J^{PC}) = 0^-(1 +^-)$$

Quantum numbers are quark model predictions, $C = -$ established by $\eta_b\gamma$ decay.

$h_b(1P)$ MASS

VALUE (MeV) EVTS

9899.3±0.8 OUR AVERAGE

$$9899.3 \pm 0.4 \pm 1.0$$

$$9899.1 \pm 0.4 \pm 1.0$$

$$9902 \pm 4 \pm 2$$

DOCUMENT ID

TAMPONI

MIZUK

LEES

15 BELL

12 BELL

11K BABR $\tau(3S) \rightarrow \eta_b\gamma\pi^0$

11K BABR $\tau(3S) \rightarrow \eta_b\gamma\pi^0$

• • • We do not use the following data for averages, fits, limits, etc. • • •

$$9898.2^{+1.1}_{-1.0} \pm 1.0$$

50.0k

1 ADACHI

12 BELL

$10.86 e^+e^- \rightarrow \pi^+\pi^- \text{ MM}$

¹ Superseded by MIZUK 12.

$h_b(1P)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead></table>

$\Gamma_1 \eta_b(1S)\gamma$

(52 +6/5) %

$h_b(1P)$ BRANCHING RATIOS

$$\Gamma(\eta_b(1S)\gamma)/\Gamma_{\text{total}}$$

VALUE (units 10⁻²) EVTS

52 +6/5 OUR AVERAGE

$$56 \pm 8 \pm 4$$

$$49.2 \pm 5.7^{+5.6}_{-3.3}$$

33.1k

24k

DOCUMENT ID

TECN

1 TAMPONI

MIZUK

COMMENT

15 BELL

12 BELL $e^+e^- \rightarrow (\gamma)\eta\gamma$ hadrons

12 BELL $e^+e^- \rightarrow (\gamma)\pi^+\pi^-$ hadrons

• • • We do not use the following data for averages, fits, limits, etc. • • •

seen

10.8k

1 Using $B(\eta \rightarrow 2\gamma) = (39.41 \pm 0.20)\%$.

LEES

11k

BABR $\tau(3S) \rightarrow \eta_b\gamma\pi^0$

11k BABR $\tau(3S) \rightarrow \eta_b\gamma\pi^0$

$h_b(1P)$ REFERENCES

TAMPONI

ADACHI

MIZUK

15 PRL 115 142001

12 PRL 108 032001

11k PR D84 091101

U. Tamponi et al.

1. Adachi et al.

R. Mizuk et al.

(BELLE Collab.)

(BELLE Collab.)

(BELLE Collab.)

$\chi_{b2}(1P)$

$$I^G(J^{PC}) = 0^{+}(2^{++})$$

J needs confirmation.

Observed in radiative decay of the $\tau(2S)$, therefore $C = +$. Branching ratio requires E1 transition, M1 is strongly disfavored, therefore $P = +$. $J = 2$ from SKWARNICKI 87.

$\chi_{b2}(1P)$ MASS

VALUE (MeV)

9912.21±0.26±0.31 OUR EVALUATION From average $\gamma$ energy below, using $\tau(2S)$

mass = 10023.26 ± 0.31 MeV

$m_{\chi_{b2}(1P)} - m_{\chi_{b1}(1P)}$

VALUE (MeV)

19.10±0.25 OUR AVERAGE

$$19.81 \pm 0.65 \pm 0.20$$

$$19.01 \pm 0.24$$

DOCUMENT ID

TECN

14BG LHCB

14M BABR $\tau(2S) \rightarrow \gamma\gamma\mu^+\mu^-$

COMMENT

Error includes scale factor of 1.1.

pp $\rightarrow \gamma\mu^+\mu^-$ X

$\tau(2S) \rightarrow \gamma\gamma\mu^+\mu^-$

¹ From the $\chi_{bJ}(1P) \rightarrow \tau(1S)\gamma$ transition.

$\gamma$ ENERGY IN $\tau(2S)$ DECAY

VALUE (MeV)

110.44±0.29 OUR AVERAGE

$$110.58 \pm 0.08 \pm 0.30$$

$$110.8 \pm 0.3 \pm 0.6$$

$$107.0 \pm 1.1 \pm 1.3$$

$$101.6 \pm 0.3 \pm 0.9$$

$$104.0 \pm 0.8 \pm 2.2$$

$$109.5 \pm 0.7 \pm 1.0$$

$$108.2 \pm 0.3 \pm 2.0$$

$$108.8 \pm 4.0$$

DOCUMENT ID

TECN

105 CLEO $\tau(2S) \rightarrow \gamma X$

99 CLE2 $\tau(2S) \rightarrow \gamma\chi(1P)$

86 WALK $\tau(2S) \rightarrow \gamma\gamma\ell^+\ell^-$

85E ARG $\tau(2S) \rightarrow \text{conv.}\gamma X$

85 CBAL $\tau(2S) \rightarrow \gamma X$

84 HAAS $\tau(2S) \rightarrow \text{conv.}\gamma X$

83 CUSB $\tau(2S) \rightarrow \gamma X$

83 CUSB $\tau(2S) \rightarrow \gamma\gamma\ell^+\ell^-$

$\chi_{b2}(1P)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> γ τ(1S)</td><td>(18.0±1.0) %</td><td>90%</td></tr><tr><td>Γ<sub>2</sub> D<sup>0</sup>X</td><td>&lt; 7.9 %</td><td>90%</td></tr><tr><td>Γ<sub>3</sub> π<sup>+</sup> π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td><td>(8 ± 5) × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>4</sub> 2π<sup>+</sup> π<sup>-</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub></td><td>&lt; 1.0 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>5</sub> 2π<sup>+</sup> π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td><td>(5.3±2.4) × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>6</sub> 2π<sup>+</sup> π<sup>-</sup> 2π<sup>0</sup></td><td>(3.5±1.4) × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>7</sub> 2π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td><td>(1.1±0.4) × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>8</sub> 2π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td><td>(2.1±0.9) × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>9</sub> 2π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> 2π<sup>0</sup></td><td>(3.9±1.8) × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>10</sub> 3π<sup>+</sup> 2π<sup>-</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub> π<sup>0</sup></td><td>&lt; 5 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>11</sub> 3π<sup>+</sup> 3π<sup>-</sup></td><td>(7.0±3.1) × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>12</sub> 3π<sup>+</sup> 3π<sup>-</sup> 2π<sup>0</sup></td><td>(1.0±0.4) × 10<sup>-3</sup></td><td>90%</td></tr><tr><td>Γ<sub>13</sub> 3π<sup>+</sup> 3π<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td><td>&lt; 8 × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>14</sub> 3π<sup>+</sup> 3π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td><td>(3.6±1.5) × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>15</sub> 4π<sup>+</sup> 4π<sup>-</sup></td><td>(8 ± 4) × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>16</sub> 4π<sup>+</sup> 4π<sup>-</sup> 2π<sup>0</sup></td><td>(1.8±0.7) × 10<sup>-3</sup></td><td>90%</td></tr><tr><td>Γ<sub>17</sub> J/ψ J/ψ</td><td>&lt; 4 × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>18</sub> J/ψ ψ(2S)</td><td>&lt; 5 × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>19</sub> ψ(2S) ψ(2S)</td><td>&lt; 1.6 × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>20</sub> J/ψ(1S) anything</td><td>(1.5±0.4) × 10<sup>-3</sup></td><td>90%</td></tr></tbody></table>
## $\chi_{b2}(1P)$ BRANCHING RATIOS

<table><thead><tr><th colspan="2">Γ(γT(1S))/Γtotal</th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>1</sub>/Γ</th></tr><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td colspan="7"><strong>0.180±0.010 OUR AVERAGE</strong></td></tr><tr><td>0.164<sup>+0.009</sup><sub>-0.010</sub></td><td>±0.008</td><td>503k</td><td>1 FULSOM</td><td>18</td><td>BELL</td><td>Γ(2S) → γX</td></tr><tr><td>0.185±0.008</td><td>±0.009</td><td>2,3,4 LEES</td><td>14M</td><td>BABR</td><td>Γ(2S) → γγμ<sup>+</sup>μ<sup>-</sup></td></tr><tr><td>0.186±0.011</td><td>±0.009</td><td>1770</td><td>4,5 KORNICER</td><td>11</td><td>CLEO</td><td>e<sup>+</sup>e<sup>-</sup> → γγℓ<sup>+</sup>ℓ<sup>-</sup></td></tr><tr><td>0.194<sup>+0.014</sup><sub>-0.017</sub></td><td>±0.009</td><td>8k</td><td>6 LEES</td><td>11J</td><td>BABR</td><td>Γ(2S) → Xγ</td></tr><tr><td>0.25</td><td>±0.06</td><td>±0.01</td><td>35</td><td>4,7,8 WALK</td><td>86</td><td>CBAL</td><td>Γ(2S) → γγℓ<sup>+</sup>ℓ<sup>-</sup></td></tr><tr><td>0.20</td><td>±0.05</td><td></td><td></td><td>KLOPFEN...</td><td>83</td><td>CUSB</td><td>Γ(2S) → γγℓ<sup>+</sup>ℓ<sup>-</sup></td></tr></tbody></table>

1. FULSOM 18 reports $[\Gamma(\chi_{b2}(1P) \rightarrow \gamma T(1S))/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (1.17 \pm 0.01 \pm 0.06) \times 10^{-2}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

2. LEES 14M quotes $\Gamma(\chi_{b2}(1P) \rightarrow \gamma T(1S))/\Gamma_{\text{total}} \times [\Gamma(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))/\Gamma_{\text{total}} = (1.32 \pm 0.06)\%$ combining the results from samples of $\Gamma(2S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$ with and without converted photons.

3. LEES 14M reports $[\Gamma(\chi_{b2}(1P) \rightarrow \gamma T(1S))/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (1.32 \pm 0.06) \times 10^{-2}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

4. Assuming $B(\Gamma(1S) \rightarrow \mu^{+}\mu^{-}) = (2.48 \pm 0.05)\%$.

5. KORNICER 11 reports $[\Gamma(\chi_{b2}(1P) \rightarrow \gamma T(1S))/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (1.33 \pm 0.04 \pm 0.07) \times 10^{-2}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

6. LEES 11J reports $[\Gamma(\chi_{b2}(1P) \rightarrow \gamma T(1S))/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (13.9 \pm 0.5 \pm 0.9) \times 10^{-3}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

7. WALK 86 reports $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) \times B(\chi_{b2}(1P) \rightarrow \gamma T(1S)) \times B(\Gamma(1S) \rightarrow \ell^{+}\ell^{-}) = (4.4 \pm 0.9 \pm 0.5)\%$.

8. WALK 86 reports $[\Gamma(\chi_{b2}(1P) \rightarrow \gamma T(1S))/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (17.7 \pm 3.6 \pm 2.0) \times 10^{-3}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(D<sup>0</sup>X)/Γ<sub>total</sub></th><th rowspan="2">CL%</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>2</sub>/Γ</th></tr><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>&lt;7.9 × 10<sup>-2</sup></td><td>90</td><td>1,2 BRIERE</td><td>08</td><td>CLEO</td><td>Γ(2S) → γD<sup>0</sup>X</td></tr></tbody></table>

1. For $p_{D0} > 2.5$ GeV/c.

2. The authors also present their result as $(5.4 \pm 1.9 \pm 0.5) \times 10^{-2}$.

<table><thead><tr><th colspan="2">Γ(π<sup>+</sup> π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>3</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>0.84±0.50±0.04</td><td>8</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γπ<sup>+</sup>π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow \pi^{+}\pi^{-}K^{+}K^{-}\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (6 \pm 3 \pm 2) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(2π<sup>+</sup> π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub>)/Γ<sub>total</sub></th><th rowspan="2">CL%</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>4</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>&lt;1.0</td><td>90</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ2π<sup>+</sup>π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 2\pi^{+}\pi^{-}K^{-}K_{S}^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] < 7 \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = 7.15 \times 10^{-2}$.

<table><thead><tr><th colspan="2">Γ(2π<sup>+</sup> π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub> 2π<sup>0</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>5</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>5.3±2.4±0.3</td><td>11</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ2π<sup>+</sup>π<sup>-</sup> K<sup>+</sup> 2π<sup>0</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 2\pi^{+}\pi^{-}K^{-}K_{S}^{0}2\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (38 \pm 14 \pm 10) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(2π<sup>+</sup> 2π<sup>-</sup> 2π<sup>0</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>6</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>3.5±1.4±0.2</td><td>19</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ2π<sup>+</sup> 2π<sup>-</sup> 2π<sup>0</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 2\pi^{+} 2\pi^{-} 2\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (25 \pm 8 \pm 6) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(2π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>7</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>1.1±0.4±0.1</td><td>14</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ2π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 2\pi^{+} 2\pi^{-} K^{+} K^{-})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (8 \pm 2 \pm 2) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(2π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>8</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>2.1±0.9±0.1</td><td>13</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ2π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 2\pi^{+} 2\pi^{-} K^{+} K^{-})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (15 \pm 5 \pm 4) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(2π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> 2π<sup>0</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>9</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>3.9±1.8±0.2</td><td>11</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ2π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> 2π<sup>0</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 2\pi^{+} 2\pi^{-} K^{+} K^{-} 2\pi^{0})/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (28 \pm 11 \pm 7) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(3π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub> π<sup>0</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>10</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>&lt;5</td><td>90</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ3π<sup>+</sup> 2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub> π<sup>0</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 3\pi<sup>+</sup> 2\pi<sup>-</sup> K<sup>+</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub> π<sup>0</sup>)/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] < 36 \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = 7.15 \times 10^{-2}$.

<table><thead><tr><th colspan="2">Γ(3π<sup>+</sup> 3π<sup>-</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>11</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>0.70±0.31±0.03</td><td>9</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ3π<sup>+</sup> 3π<sup>-</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 3\pi<sup>+</sup> 3\pi<sup>-</sup>)/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (5 \pm 2 \pm 1) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(3π<sup>+</sup> 3π<sup>-</sup> 2π<sup>0</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>12</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>10.2±3.6±0.5</td><td>34</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ3π<sup>+</sup> 3π<sup>-</sup> 2π<sup>0</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 3\pi<sup>+</sup> 3\pi<sup>-</sup> 2\pi<sup>0</sup>)/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (73 \pm 16 \pm 20) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(3π<sup>+</sup> 3π<sup>-</sup> K<sup>+</sup> K<sup>-</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>13</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>&lt;0.8</td><td>90</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ3π<sup>+</sup> 3π<sup>-</sup> K<sup>+</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 3\pi<sup>+</sup> 3\pi<sup>-</sup> K<sup>+</sup> K<sup>-</sup>)/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] < 6 \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = 7.15 \times 10^{-2}$.

<table><thead><tr><th colspan="2">Γ(3π<sup>+</sup> 3π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>14</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>3.6±1.5±0.2</td><td>14</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ3π<sup>+</sup> 3π<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 3\pi<sup>+</sup> 3\pi<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup>)/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (26 \pm 8 \pm 7) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(4π<sup>+</sup> 4π<sup>-</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>15</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>0.84±0.40±0.04</td><td>7</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ4π<sup>+</sup> 4π<sup>-</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 4\pi<sup>+</sup> 4\pi<sup>-</sup>)/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (6 \pm 2 \pm 2) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

<table><thead><tr><th colspan="2">Γ(4π<sup>+</sup> 4π<sup>-</sup> 2π<sup>0</sup>)/Γ<sub>total</sub></th><th rowspan="2">EVTS</th><th rowspan="2">DOCUMENT ID</th><th rowspan="2">TECN</th><th rowspan="2">COMMENT</th><th rowspan="2">Γ<sub>16</sub>/Γ</th></tr><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>16±7±1</td><td>29</td><td>1 ASNER</td><td>08A</td><td>CLEO</td><td>Γ(2S) → γ4π<sup>+</sup> 4π<sup>-</sup> 2π<sup>0</sup></td></tr></tbody></table>

1. ASNER 08A reports $[\Gamma(\chi_{b2}(1P) \rightarrow 4\pi<sup>+</sup> 4\pi<sup>-</sup> 2\pi<sup>0</sup>)/\Gamma_{\text{total}}] \times [B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P))] = (132 \pm 31 \pm 40) \times 10^{-6}$ which we divide by our best value $B(\Gamma(2S) \rightarrow \gamma\chi_{b2}(1P)) = (7.15 \pm 0.35) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.
Meson Particle Listings

$\chi_{b2}(1P)$, $\eta_b(2S)$, $\Upsilon(2S)$

$\Gamma(J/\psi J/\psi)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;5</td><td>90</td><td>1</td><td>SHEN</td><td>12 BELL</td><td>Γ(2S) → γψX</td></tr></tbody></table>

¹SHEN 12 reports < 4.5 × 10⁻⁵ from a measurement of [Γ(χ<sub>b2</sub>(1P) → J/ψJ/ψ)/Γ<sub>total</sub>] × [B(Γ(2S) → γχ<sub>b2</sub>(1P))] assuming B(Γ(2S) → γχ<sub>b2</sub>(1P)) = (7.15 ± 0.35) × 10⁻².

$\Gamma(J/\psi\psi(2S))/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;5</td><td>90</td><td>1</td><td>SHEN</td><td>12 BELL</td><td>Γ(2S) → γψX</td></tr></tbody></table>

¹SHEN 12 reports < 4.9 × 10⁻⁵ from a measurement of [Γ(χ<sub>b2</sub>(1P) → J/ψψ(2S))/Γ<sub>total</sub>] × [B(Γ(2S) → γχ<sub>b2</sub>(1P))] assuming B(Γ(2S) → γχ<sub>b2</sub>(1P)) = (7.15 ± 0.35) × 10⁻².

$\Gamma(\psi(2S)\psi(2S))/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.6</td><td>90</td><td>1</td><td>SHEN</td><td>12 BELL</td><td>Γ(2S) → γψX</td></tr></tbody></table>

¹SHEN 12 reports < 1.6 × 10⁻⁵ from a measurement of [Γ(χ<sub>b2</sub>(1P) → ψ(2S)ψ(2S))/Γ<sub>total</sub>] × [B(Γ(2S) → γχ<sub>b2</sub>(1P))] assuming B(Γ(2S) → γχ<sub>b2</sub>(1P)) = (7.15 ± 0.35) × 10⁻².

$\Gamma(J/\psi(1S)\text{anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.50 ± 0.34 ± 0.22</td><td>462</td><td>JIA</td><td>17A</td><td>BELL e<sup>+</sup> e<sup>-</sup> → hadrons</td></tr></tbody></table>

χ<sub>b2</sub>(1P) Cross-Particle Branching Ratios

$\Gamma(\chi_{b2}(1P) \rightarrow \gamma \Upsilon(1S))/\Gamma_{\text{total}} \times \Gamma(\Upsilon(2S) \rightarrow \gamma \chi_{b2}(1P))/\Gamma_{\text{total}}$

$\Gamma_{1/\Gamma} \times \Gamma_{72}^{\Upsilon(2S)}/\Gamma(\Upsilon(2S))$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>13.9 ± 0.5 ± 0.9<br>1.1</td><td>8k</td><td>LEES</td><td>11J</td><td>BABR Γ(2S) → Xγ</td></tr></tbody></table>

$B(\chi_{b2}(1P) \rightarrow \gamma \Upsilon(1S)) \times B(\Upsilon(2S) \rightarrow \gamma \chi_{b2}(1P)) \times B(\Upsilon(1S) \rightarrow \ell^+ \ell^-)$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.38 ± 0.16 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr></tbody></table>

3.38 ± 0.16 OUR AVERAGE

<table><tbody><tr><td>3.63<sup>+0.36</sup><sub>-0.18</sub></td><td>1</td><td>LEES</td><td>14M</td><td>BABR Γ(2S) → γγµ<sup>+</sup> µ<sup>-</sup></td></tr><tr><td>0.34<sup>-0.19</sup></td><td></td><td></td><td></td><td></td></tr><tr><td>3.29 ± 0.09 ± 0.16</td><td>1770</td><td>KORNICER</td><td>11</td><td>CLEO e<sup>+</sup> e<sup>-</sup> → γγℓ<sup>+</sup> ℓ<sup>-</sup></td></tr><tr><td>4.4 ± 0.9 ± 0.5</td><td>35</td><td>WALK</td><td>86</td><td>CBAL Γ(2S) → γγℓ<sup>+</sup> ℓ<sup>-</sup></td></tr></tbody></table>

¹From a sample of $\Upsilon(2S) \rightarrow \gamma\gamma\mu^+\mu^-$ with converted photons.

$[B(\chi_{b2}(1P) \rightarrow \gamma \Upsilon(1S)) \times B(\Upsilon(2S) \rightarrow \gamma \chi_{b2}(1P))] / [B(\chi_{b1}(1P) \rightarrow \gamma \Upsilon(1S)) \times B(\Upsilon(2S) \rightarrow \gamma \chi_{b1}(1P))]$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>55.6 ± 1.6</td><td>1</td><td>LEES</td><td>14M</td><td>BABR Γ(2S) → γγµ<sup>+</sup> µ<sup>-</sup></td></tr></tbody></table>

¹From a sample of $\Upsilon(2S) \rightarrow \gamma\gamma\mu^+\mu^-$ events without converted photons.

$B(\chi_{b2}(1P) \rightarrow \gamma \Upsilon(1S)) \times B(\Upsilon(3S) \rightarrow \gamma \chi_{b2}(1P)) \times B(\Upsilon(1S) \rightarrow \ell^+ \ell^-)$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.8 ± 0.5 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr></tbody></table>

3.8 ± 0.5 OUR AVERAGE

<table><tbody><tr><td>4.68<sup>+0.99</sup><sub>-0.32</sub></td><td>1</td><td>LEES</td><td>14M</td><td>BABR Γ(3S) → γγµ<sup>+</sup> µ<sup>-</sup></td></tr><tr><td>0.92</td><td></td><td></td><td></td><td></td></tr><tr><td>3.56 ± 0.40 ± 0.41</td><td>126</td><td>KORNICER</td><td>11</td><td>CLEO e<sup>+</sup> e<sup>-</sup> → γγℓ<sup>+</sup> ℓ<sup>-</sup></td></tr></tbody></table>

¹From a sample of $\Upsilon(3S) \rightarrow \gamma\gamma\mu^+\mu^-$ with converted photons.

χ<sub>b2</sub>(1P) REFERENCES

<table><tbody><tr><td>FULSOM</td><td>18</td><td>PRL 121 232001</td><td>B.G. Fulsom et al.</td><td>(BELLE Collab.)</td></tr><tr><td>JIA</td><td>17A</td><td>PR D96 112002</td><td>S. Jia et al.</td><td>(BELLE Collab.)</td></tr><tr><td>AAIJ</td><td>14B8</td><td>JHEP 1410 088</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>LEES</td><td>14M</td><td>PR D90 112010</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>SHEN</td><td>12</td><td>PR D85 071102</td><td>C.P. Shen et al.</td><td>(BELLE Collab.)</td></tr><tr><td>KORNICER</td><td>11</td><td>PR D83 054003</td><td>M. Kornicer et al.</td><td>(CLEO Collab.)</td></tr><tr><td>LEES</td><td>11J</td><td>PR D84 072002</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ASNER</td><td>08A</td><td>PR D78 093201</td><td>D.M. Asner et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BRIERE</td><td>08</td><td>PR D78 092007</td><td>R.A. Briere et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ARTUSO</td><td>05</td><td>PRL 94 032001</td><td>M. Artuso et al.</td><td>(CLEO Collab.)</td></tr><tr><td>EDWARDS</td><td>99</td><td>PR D59 0532003</td><td>K.W. Edwards et al.</td><td>(CLEO Collab.)</td></tr><tr><td>SKWARNICKI</td><td>87</td><td>PRL 58 972</td><td>T. Skwarnicki et al.</td><td>(Crystal Ball Collab.) J</td></tr><tr><td>WALK</td><td>86</td><td>PRL D34 2611</td><td>W.S. Walk et al.</td><td>(Crystal Ball Collab.) J</td></tr><tr><td>ALBRECHT</td><td>85E</td><td>PL 160B 331</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.)</td></tr><tr><td>NERNST</td><td>85</td><td>PR 54 2195</td><td>R. Nernst et al.</td><td>(Crystal Ball Collab.)</td></tr><tr><td>HAAS</td><td>84</td><td>PRL 52 799</td><td>J. Haas et al.</td><td>(CLEO Collab.)</td></tr><tr><td>KLOPFEN...</td><td>83</td><td>PRL 51 160</td><td>C. Klopfenstein et al.</td><td>(CUSB Collab.)</td></tr><tr><td>PAUSS</td><td>83</td><td>PL 130B 439</td><td>F. Pauss et al.</td><td>(MPIM, COLU, CORN, LSU+)</td></tr></tbody></table>

$\eta_b(2S)$

$\eta_b(2S) = 0^+(0^-)$

OMITTED FROM SUMMARY TABLE

Quantum numbers shown are quark-model predictions.

$\eta_b(2S)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>9999.0 ± 3.5<sup>+2.8</sup><sub>-1.9</sub></td><td>26k</td><td>1</td><td>MIZUK</td><td>BELL e<sup>+</sup> e<sup>-</sup> → γπ<sup>+</sup> π<sup>-</sup> + hadrons</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>9974.6 ± 2.3 ± 2.1</td><td>11 ± 4</td><td>2,3,4 DOBBS</td><td>12</td><td>Γ(2S) → γ hadrons</td></tr></table>

¹Assuming $\Gamma_{\eta_b(2S)} = 4.9$ MeV. Not independent of the corresponding mass difference measurement.

²SANDILYA 13 (Belle Collab.) search for such a state reconstructed in the same 26 exclusive hadronic final states as DOBBS 12 using a sample of $(157.8 \pm 3.6) \times 10^6 \Upsilon(2S)$ decays or about 17 times larger and find no evidence for a signal. Their 90% C.L. upper limit on the branching fraction $B(\Upsilon(2S) \rightarrow \eta_b(2S)\gamma) \times \sum_i B(\eta_b(2S) \rightarrow X_i)$ < 4.9 × 10⁻⁶, summed over the exclusive hadronic final states $X_i$, is an order of magnitude smaller than that reported by DOBBS 12.

³Obtained by analyzing CLEO III data but not authored by the CLEO Collaboration.

⁴Assuming $\Gamma_{\eta_b(2S)} = 5$ MeV. Not independent of the corresponding mass difference measurement.

$m\Upsilon(2S) - m\eta_b(2S)$

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>24.3 ± 3.5<sup>+2.8</sup><sub>-1.9</sub></td><td>26k</td><td>5</td><td>MIZUK</td><td>BELL e<sup>+</sup> e<sup>-</sup> → γπ<sup>+</sup> π<sup>-</sup> + hadrons</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>48.7 ± 2.3 ± 2.1</td><td>11 ± 4</td><td>6,7,8 DOBBS</td><td>12</td><td>Γ(2S) → γ hadrons</td></tr></table>

⁵Assuming $\Gamma_{\eta_b(2S)} = 4.9$ MeV. Not independent of the corresponding mass measurement.

⁶SANDILYA 13 (Belle Collab.) search for such a state reconstructed in the same 26 exclusive hadronic final states as DOBBS 12 using a sample of $(157.8 \pm 3.6) \times 10^6 \Upsilon(2S)$ decays or about 17 times larger and find no evidence for a signal. Their 90% C.L. upper limit on the branching fraction $B(\Upsilon(2S) \rightarrow \eta_b(2S)\gamma) \times \sum_i B(\eta_b(2S) \rightarrow X_i)$ < 4.9 × 10⁻⁶, summed over the exclusive hadronic final states $X_i$, is an order of magnitude smaller than that reported by DOBBS 12.

⁷Obtained by analyzing CLEO III data but not authored by the CLEO Collaboration.

⁸Assuming $\Gamma_{\eta_b(2S)} = 5$ MeV. Not independent of the corresponding mass measurement.

$\eta_b(2S)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;24</td><td>90</td><td>MIZUK</td><td>12</td><td>BELL e<sup>+</sup> e<sup>-</sup> → γπ<sup>+</sup> π<sup>-</sup> hadrons</td></tr></tbody></table>

$\eta_b(2S)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>j</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> hadrons</td><td>seen</td></tr></tbody></table>

$\eta_b(2S)$ BRANCHING RATIOS

$\Gamma(\text{hadrons})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>26k</td><td>MIZUK</td><td>12</td><td>BELL e<sup>+</sup> e<sup>-</sup> → γπ<sup>+</sup> π<sup>-</sup> hadrons</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>seen</td><td>9,10 DOBBS</td><td>12</td><td>Γ(2S) → γ hadrons</td></tr></table>

⁹SANDILYA 13 (Belle Collab.) search for such a state reconstructed in the same 26 exclusive hadronic final states as DOBBS 12 using a sample of $(157.8 \pm 3.6) \times 10^6 \Upsilon(2S)$ decays or about 17 times larger and find no evidence for a signal. Their 90% C.L. upper limit on the branching fraction $B(\Upsilon(2S) \rightarrow \eta_b(2S)\gamma) \times \sum_i B(\eta_b(2S) \rightarrow X_i)$ < 4.9 × 10⁻⁶, summed over the exclusive hadronic final states $X_i$, is an order of magnitude smaller than that reported by DOBBS 12.

¹⁰Obtained by analyzing CLEO III data but not authored by the CLEO Collaboration.

$\eta_b(2S)$ REFERENCES

SANDILYA 13 PRL 111 12001 S. Sandilya et al. (BELLE Collab.)

DOBBS 12 PRL 109 082001 S. Dobbs et al. (BELLE Collab.)

MIZUK 12 PRL 109 232002 R. Mizuk et al. (BELLE Collab.)

$\Upsilon(2S)$

$\Upsilon^{(JPC)} = 0^{-}(1^{-})$

$\Upsilon(2S)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>10023.4 ± 0.5</td><td>1</td><td>SHAMOV</td><td>23 RVUE e<sup>+</sup> e<sup>-</sup> → hadrons</td></tr></tbody></table>

• • • We do not use the following data for averages, limits, etc. • • •

10023.5 ± 0.5 2 SHAMOV 23 RVUE e<sup>+</sup> e<sup>-</sup> → hadrons

10023.6 ± 0.5 3,4 ARTAMONOV 00 MD1 e<sup>+</sup> e<sup>-</sup> → hadrons

10023.1 ± 0.4 5,6 BARU 86B MD1 e<sup>+</sup> e<sup>-</sup> → hadrons

¹Reanalysis of MD1 data using the electron mass from COHEN 87, the radiative corrections from KURAEV 85 and interference effects.

²Obtained by reanalysing ARGUS and Crystal Ball data (BARBER 84), but not authored by the ARGUS and Crystal Ball collaboration.

³Reanalysis of BARU 86B using new electron mass (COHEN 87).

⁴Superseded by SHAMOV 23.

⁵Reanalysis of ARTAMONOV 84.

⁶Superseded by ARTAMONOV 00.

⁷Reanalysed by SHAMOV 23.
$m\Upsilon(3S) - m\Upsilon(2S)$

VALUE (MeV)

331.50±0.02±0.13

DOCUMENT ID

LEES

11C

TECN

BABR

COMMENT

$e^+e^- \to \pi^+\pi^- X$

T(2S) WIDTH

VALUE (keV)

31.90±2.63 OUR EVALUATION
States"

DOCUMENT ID

See the Note on "Width Determinations of the T

T(2S) DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Scale factor/<br>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Υ(1S) π<sup>+</sup>π<sup>-</sup></td><td>(17.85 ± 0.26) %</td><td></td></tr><tr><td>Γ<sub>2</sub> Υ(1S) π<sup>0</sup>π<sup>0</sup></td><td>( 8.6 ± 0.4 ) %</td><td></td></tr><tr><td>Γ<sub>3</sub> τ<sup>+</sup>τ<sup>-</sup></td><td>( 2.00 ± 0.21) %</td><td></td></tr><tr><td>Γ<sub>4</sub> μ<sup>+</sup>μ<sup>-</sup></td><td>( 1.93 ± 0.17) %</td><td>S=2.2</td></tr><tr><td>Γ<sub>5</sub> e<sup>+</sup>e<sup>-</sup></td><td>( 1.91 ± 0.16) %</td><td></td></tr><tr><td>Γ<sub>6</sub> Υ(1S) π<sup>0</sup></td><td>&lt; 4</td><td>× 10<sup>-5</sup></td></tr><tr><td>Γ<sub>7</sub> Υ(1S) η</td><td>( 2.9 ± 0.4 ) × 10<sup>-4</sup></td><td>S=2.0</td></tr><tr><td>Γ<sub>8</sub> J/ψ(1S) anything</td><td>&lt; 6</td><td>× 10<sup>-3</sup></td></tr><tr><td>Γ<sub>9</sub> J/ψ(1S) η<sub>c</sub></td><td>&lt; 5.4</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>10</sub> J/ψ(1S) χ<sub>c0</sub></td><td>&lt; 3.4</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>11</sub> J/ψ(1S) χ<sub>c1</sub></td><td>&lt; 1.2</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>12</sub> J/ψ(1S) χ<sub>c2</sub></td><td>&lt; 2.0</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>13</sub> J/ψ(1S) η<sub>c</sub>(2S)</td><td>&lt; 2.5</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>14</sub> J/ψ(1S) X(3940)</td><td>&lt; 2.0</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>15</sub> J/ψ(1S) X(4160)</td><td>&lt; 2.0</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>16</sub> χ<sub>c1</sub> anything</td><td>( 2.2 ± 0.5 ) × 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>17</sub> χ<sub>c1</sub>(1P)<sup>0</sup>χ<sub>tetra</sub></td><td>&lt; 3.67</td><td>× 10<sup>-5</sup></td></tr><tr><td>Γ<sub>18</sub> χ<sub>c2</sub> anything</td><td>( 2.3 ± 0.8 ) × 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>19</sub> ψ(2S) η<sub>c</sub></td><td>&lt; 5.1</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>20</sub> ψ(2S) χ<sub>c0</sub></td><td>&lt; 4.7</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>21</sub> ψ(2S) χ<sub>c1</sub></td><td>&lt; 2.5</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>22</sub> ψ(2S) χ<sub>c2</sub></td><td>&lt; 1.9</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>23</sub> ψ(2S) η<sub>c</sub>(2S)</td><td>&lt; 3.3</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>24</sub> ψ(2S) X(3940)</td><td>&lt; 3.9</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>25</sub> ψ(2S) X(4160)</td><td>&lt; 3.9</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>26</sub> T<sub>c</sub>τ<sub>1</sub>(3900)<sup>+</sup> T<sub>c</sub>τ<sub>1</sub>(3900)<sup>-</sup></td><td>&lt; 1.0</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>27</sub> T<sub>c</sub>τ<sub>1</sub>(4200)<sup>+</sup> T<sub>c</sub>τ<sub>1</sub>(4200)<sup>-</sup></td><td>&lt; 1.67</td><td>× 10<sup>-5</sup></td></tr><tr><td>Γ<sub>28</sub> T<sub>c</sub>τ<sub>1</sub>(3900)<sup>±</sup> T<sub>c</sub>τ<sub>1</sub>(4200)<sup>∓</sup></td><td>&lt; 7.3</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>29</sub> T<sub>c</sub>τ<sub>1</sub>(4050)<sup>+</sup> T<sub>c</sub>τ<sub>1</sub>(4050)<sup>-</sup></td><td>&lt; 1.35</td><td>× 10<sup>-5</sup></td></tr><tr><td>Γ<sub>30</sub> T<sub>c</sub>τ<sub>1</sub>(4250)<sup>+</sup> T<sub>c</sub>τ<sub>1</sub>(4250)<sup>-</sup></td><td>&lt; 2.67</td><td>× 10<sup>-5</sup></td></tr><tr><td>Γ<sub>31</sub> T<sub>c</sub>τ<sub>1</sub>(4050)<sup>±</sup> T<sub>c</sub>τ<sub>1</sub>(4250)<sup>∓</sup></td><td>&lt; 2.72</td><td>× 10<sup>-5</sup></td></tr><tr><td>Γ<sub>32</sub> T<sub>c</sub>τ<sub>1</sub>(4430)<sup>+</sup> T<sub>c</sub>τ<sub>1</sub>(4430)<sup>-</sup></td><td>&lt; 2.03</td><td>× 10<sup>-5</sup></td></tr><tr><td>Γ<sub>33</sub> T<sub>c</sub>τ<sub>1</sub>(4055)<sup>±</sup> T<sub>c</sub>τ<sub>1</sub>(4055)<sup>∓</sup></td><td>&lt; 1.11</td><td>× 10<sup>-5</sup></td></tr><tr><td>Γ<sub>34</sub> T<sub>c</sub>τ<sub>1</sub>(4055)<sup>±</sup> T<sub>c</sub>τ<sub>1</sub>(4430)<sup>∓</sup></td><td>&lt; 2.11</td><td>× 10<sup>-5</sup></td></tr><tr><td>Γ<sub>35</sub> 2H anything</td><td>( 2.78<sup>+ 0.30</sup><sub>- 0.26</sub> ) × 10<sup>-5</sup></td><td>S=1.2</td></tr><tr><td>Γ<sub>36</sub> hadrons</td><td>(94 ± 11) %</td><td></td></tr><tr><td>Γ<sub>37</sub> ggg</td><td>(58.8 ± 1.2) %</td><td></td></tr><tr><td>Γ<sub>38</sub> γgg</td><td>( 1.87 ± 0.28) %</td><td></td></tr><tr><td>Γ<sub>39</sub> φK<sup>+</sup>K<sup>-</sup></td><td>( 1.6 ± 0.4 ) × 10<sup>-6</sup></td><td></td></tr><tr><td>Γ<sub>40</sub> ωπ<sup>+</sup>π<sup>-</sup></td><td>&lt; 2.58</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>41</sub> K<sup>+</sup>(892)<sup>0</sup>K<sup>-</sup>π<sup>+</sup> + c.c.</td><td>( 2.3 ± 0.7 ) × 10<sup>-6</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>42</sub> φf<sub>2</sub>'(1525)</td><td>&lt; 1.33</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>43</sub> ωf<sub>2</sub>'(1270)</td><td>&lt; 5.7</td><td>× 10<sup>-7</sup></td></tr><tr><td>Γ<sub>44</sub> ρ(770) a<sub>2</sub>(1320)</td><td>&lt; 8.8</td><td>× 10<sup>-7</sup></td></tr><tr><td>Γ<sub>45</sub> K<sup>+</sup>(892)<sup>0</sup>K<sup>-</sup><sub>2</sub>(1430)<sup>0</sup> + c.c.</td><td>( 1.5 ± 0.6 ) × 10<sup>-6</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>46</sub> K<sub>1</sub>(1270)<sup>±</sup>K<sup>∓</sup></td><td>&lt; 3.22</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>47</sub> K<sub>1</sub>(1400)<sup>±</sup>K<sup>∓</sup></td><td>&lt; 8.3</td><td>× 10<sup>-7</sup></td></tr><tr><td>Γ<sub>48</sub> b<sub>1</sub>(1235)<sup>±</sup>π<sup>∓</sup></td><td>&lt; 4.0</td><td>× 10<sup>-7</sup></td></tr><tr><td>Γ<sub>49</sub> ρπ</td><td>&lt; 1.16</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>50</sub> π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>&lt; 8.0</td><td>× 10<sup>-7</sup></td></tr><tr><td>Γ<sub>51</sub> ωπ<sup>0</sup></td><td>&lt; 1.63</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>52</sub> π<sup>+</sup>π<sup>-</sup>π<sup>0</sup>π<sup>0</sup></td><td>( 1.30 ± 0.28 ) × 10<sup>-5</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>53</sub> K<sup>0</sup>S K<sup>+</sup>π<sup>-</sup> + c.c.</td><td>( 1.14 ± 0.33 ) × 10<sup>-6</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>54</sub> K<sup>+</sup>(892)<sup>0</sup>K<sup>-</sup> + c.c.</td><td>&lt; 4.22</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>55</sub> K<sup>+</sup>(892)<sup>-</sup>K<sup>+</sup> + c.c.</td><td>&lt; 1.45</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>56</sub> f<sub>1</sub>(1285) anything</td><td>( 2.2 ± 1.6 ) × 10<sup>-3</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>57</sub> f<sub>1</sub>(1285) χ<sub>tetra</sub></td><td>&lt; 6.47</td><td>× 10<sup>-5</sup></td></tr><tr><td>Γ<sub>58</sub> D<sup>+</sup><sub>S</sub>D<sub>51</sub>(2536)<sup>-</sup></td><td></td><td></td></tr><tr><td>Γ<sub>59</sub> D<sup>+</sup><sub>S</sub>D<sub>51</sub>(2536)<sup>-</sup>, D<sup>-</sup><sub>S1</sub> → K<sup>-</sup>D<sup>+</sup>(2007)<sup>0</sup></td><td>( 1.6 ± 0.4 ) × 10<sup>-5</sup></td><td></td></tr></tbody></table>

$$ \Gamma_{60} \quad D_S^+ D_{S1}(2536)^- \quad D_{S1}^- \to \begin{array}{c} (8.4 \pm 2.3) \times 10^{-6} \\ K_S^0 D^*(2010)^- \end{array} $$

$$ \Gamma_{61} \quad D_S^{*+} D_{S1}(2536)^- \quad D_{S1}^- \to \begin{array}{c} (1.4 \pm 0.4) \times 10^{-5} \\ K^- D^*(2007)^0 \end{array} $$

$$ \Gamma_{62} \quad D_S^{*+} D_{S1}(2536)^- \quad D_{S1}^- \to \begin{array}{c} (8.2 \pm 3.1) \times 10^{-6} \\ K_S^0 D^*(2010)^- \end{array} $$

$$ \Gamma_{63} \quad D_S^+ D_{S2}^*(2573)^- \quad D_{S2}^- \to \begin{array}{c} (1.4 \pm 0.4) \times 10^{-5} \\ K^- D^0 \end{array} $$

$$ \Gamma_{64} \quad D_S^+ D_{S2}^*(2573)^- \quad D_{S2}^- \to \begin{array}{c} (6.9 \pm 3.0) \times 10^{-6} \\ K_S^0 D^- \end{array} $$

$$ \Gamma_{65} \quad D_S^+ D_{S2}^*(2573)^- \quad D_{S2}^- \to \begin{array}{c} (9 \pm 5) \times 10^{-6} \\ K^- D^0 \end{array} $$

$$ \Gamma_{66} \quad D_S^{*+} D_{S2}^*(2573)^- \quad D_{S2}^- \to \begin{array}{c} (5 \pm 6) \times 10^{-6} \\ K_S^0 D^- \end{array} $$

$$ \Gamma_{70} \quad \text{Sum of 100 exclusive modes} \quad (2.90 \pm 0.30) \times 10^{-3} $$

Radiative decays

$$ \Gamma_{71} \quad \gamma\chi b_1(1P) \quad (6.9 \pm 0.4) \% $$

$$ \Gamma_{72} \quad \gamma\chi b_2(1P) \quad (7.15 \pm 0.35) \% $$

$$ \Gamma_{73} \quad \gamma\chi b_0(1P) \quad (3.8 \pm 0.4) \% $$

$$ \Gamma_{74} \quad \gamma f_0(1710) \quad < 5.9 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{75} \quad \gamma f_2'(1525) \quad < 5.3 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{76} \quad \gamma f_2(1270) \quad < 2.41 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{77} \quad \gamma f_3(2220) \quad < 2.7 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{78} \quad \gamma\eta_c(1S) \quad < 1.0 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{79} \quad \gamma\chi c_0 \quad < 3.6 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{80} \quad \gamma\chi c_1 \quad < 1.5 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{81} \quad \gamma\chi c_2 \quad < 1.5 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{82} \quad \gamma\chi c_1(3872) \quad < 2.3 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{83} \quad \gamma\chi c_1(3872), \quad \gamma\chi c_1 \to \begin{array}{c} \pi^+ \pi^- \pi^0 J/\psi \end{array} \quad < 2.4 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{84} \quad \gamma\chi c_0(3915) \to \omega J/\psi \quad < 2.8 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{85} \quad \gamma\chi c_1(4140) \to \phi J/\psi \quad < 1.2 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{86} \quad \gamma X(4350) \to \phi J/\psi \quad < 1.3 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{87} \quad \gamma\eta_b(1S) \quad (5.5 \pm 0.9) \times 10^{-4} \quad \text{S=1.2} $$

$$ \Gamma_{88} \quad \gamma\eta_b(1S) \to \gamma \text{Sum of 26 exclusive modes} \quad < 3.7 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{89} \quad \gamma X \quad \begin{array}{c} b \bar{b} \to \\ \text{Sum of 26 exclusive modes} \end{array} \quad < 4.9 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{90} \quad \gamma X \to \gamma + 4 \text{ prongs} \quad [a] < 1.95 \times 10^{-4} \quad \text{CL=95\%} $$

$$ \Gamma_{91} \quad \gamma A^0 \to \gamma \text{ hadrons} \quad < 8 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{92} \quad \gamma A^0 \to \gamma \mu^+ \mu^- \quad < 8.3 \times 10^{-6} \quad \text{CL=90\%} $$

Lepton Family number (LF) violating modes

$$ \Gamma_{93} \quad e^{\pm} \tau^{\mp} \quad \text{LF} < 3.2 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{94} \quad \mu^{\pm} \tau^{\mp} \quad \text{LF} < 3.3 \times 10^{-6} \quad \text{CL=90\%} $$

$[a] 1.5 \text{ GeV} < m_X < 5.0 \text{ GeV}$

FIT INFORMATION

An overall fit to 3 branching ratios uses 13 measurements to determine 2 parameters. The overall fit has a $\chi^2 = 11.8$ for 11 degrees of freedom.

The following off-diagonal array elements are the correlation coefficients $\langle \delta x_i \delta x_j \rangle / (\delta x_i \delta x_j)$, in percent, from the fit to the branching fractions, $x_i \equiv \Gamma_i/\Gamma_{\text{total}}$.

$$ x_7 \quad \begin{array}{c} 2 \\ x_1 \end{array} $$

T(2S) Γ(i)Γ(e⁺e⁻)/Γ(total)

$$ \Gamma(\mu^+\mu^-) \times \Gamma(e^+e^-)/\Gamma_{\text{total}} \quad \Gamma_{4S}/\Gamma $$

$$ \begin{array}{c} \text{VALUE (eV)} \\ 6.5 \pm 1.5 \pm 1.0 \end{array} \quad \begin{array}{c} \text{DOCUMENT ID} \\ \text{KOBEL} \end{array} \quad \begin{array}{c} \text{TECN} \\ 92 \end{array} \quad \begin{array}{c} \text{COMMENT} \\ \text{CBAL} \end{array} $$

$$ \Gamma(\Upsilon(1S)\pi^+\pi^-) \times \Gamma(e^+e^-)/\Gamma_{\text{total}} \quad \Gamma_1/\Gamma $$

$$ \begin{array}{c} \text{VALUE (eV)} \\ 105.4 \pm 1.0 \pm 4.2 \end{array} \quad \begin{array}{c} \text{EVTS} \\ 11.8k \end{array} \quad \begin{array}{c} \text{DOCUMENT ID} \\ 1 \end{array} \quad \begin{array}{c} \text{TECN} \\ \text{AUBERT} \end{array} \quad \begin{array}{c} \text{COMMENT} \\ \text{08BP BABR} \end{array} $$

<footnote n="1">¹ Using B(T(1S) → e⁺e⁻) = (2.38 ± 0.11)% and B(T(1S) → μ⁺μ⁻) = (2.48 ± 0.05)%.</footnote>
$$ \Gamma(\text{hadrons}) \times \Gamma(e^+e^-)/\Gamma_{\text{total}} \qquad \Gamma_{36}/\Gamma $$

<table><thead><tr><th>VALUE (keV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>0.577±0.009 OUR AVERAGE</strong></td></tr><tr><td>0.581±0.004±0.009</td><td>1 ROSNER</td><td>06</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr><tr><td>0.552±0.031±0.017</td><td>1 BARU</td><td>96</td><td>MD1 e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr><tr><td>0.54 ±0.04 ±0.02</td><td>1 JAKUBOWSKI</td><td>88</td><td>CBAL e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr><tr><td>0.58 ±0.03 ±0.04</td><td>2 GILES</td><td>84B</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr><tr><td>0.60 ±0.12 ±0.07</td><td>2 ALBRECHT</td><td>82</td><td>DASP e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr><tr><td>0.54 ±0.07 +0.09<br>-0.05</td><td>2 NICZYPORUK</td><td>81C</td><td>LENA e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr><tr><td>0.41 ±0.18</td><td>2 BOCK</td><td>80</td><td>CNTR e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr></tbody></table>

¹Radiative corrections evaluated following KURAEV 85.

²Radiative corrections reevaluated by BUCHMUELLER 88 following KURAEV 85.

## T(2S) PARTIAL WIDTHS

$$ \Gamma(e^+e^-) \qquad \Gamma_5 $$

<table><thead><tr><th>VALUE (keV)</th><th>DOCUMENT ID</th></tr></thead><tbody><tr><td>0.612±0.011 OUR EVALUATION</td><td></td></tr></tbody></table>

## T(2S) BRANCHING RATIOS

$$ \Gamma(\tau^+\tau^-)/\Gamma_{\text{total}} \qquad \Gamma_1/\Gamma $$

Abbreviation MM in the COMMENT field below stands for missing mass.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>17.85±0.26 OUR FIT</strong></td></tr><tr><td colspan="5"><strong>17.92±0.26 OUR AVERAGE</strong></td></tr><tr><td>16.8 ±1.1 ±1.3</td><td>906K</td><td>1 LEES</td><td>11C</td><td>BABR e<sup>+</sup>e<sup>-</sup> → π<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>17.80±0.05±0.37</td><td>170K</td><td>2 LEES</td><td>11L</td><td>BABR T(2S) → π<sup>+</sup>π<sup>-</sup>μ<sup>+</sup>μ<sup>-</sup></td></tr><tr><td>18.02±0.02±0.61</td><td>851K</td><td>3 BHARI</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → π<sup>+</sup>π<sup>-</sup>MM</td></tr><tr><td>17.22±0.17±0.75</td><td>11.8K</td><td>4 AUBERT</td><td>08BP</td><td>BABR e<sup>+</sup>e<sup>-</sup> → γπ<sup>+</sup>π<sup>-</sup>ℓ<sup>+</sup>ℓ<sup>-</sup>π<sup>+</sup>π<sup>-</sup>ℓ<sup>+</sup>ℓ<sup>-</sup>π<sup>+</sup>π<sup>-</sup>MM</td></tr><tr><td>19.2 ±0.2 ±1.0</td><td>52.6K</td><td>5 ALEXANDER</td><td>98</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> → π<sup>+</sup>π<sup>-</sup>MM</td></tr><tr><td>18.1 ±0.5 ±1.0</td><td>11.6K</td><td>ALBRECHT</td><td>87</td><td>ARG e<sup>+</sup>e<sup>-</sup> → π<sup>+</sup>π<sup>-</sup>MM</td></tr><tr><td>16.9 ±4.0</td><td></td><td>GELPHMAN</td><td>85</td><td>CBAL e<sup>+</sup>e<sup>-</sup> → e<sup>+</sup>e<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>19.1 ±1.2 ±0.6</td><td></td><td>BESSON</td><td>84</td><td>CLEO π<sup>+</sup>π<sup>-</sup>MM</td></tr><tr><td>18.9 ±2.6</td><td></td><td>FONSECA</td><td>84</td><td>CUSB e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>21 ±7</td><td>7</td><td>NICZYPORUK</td><td>81B</td><td>LENA e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td></tr></tbody></table>

¹LEES 11c reports $[\Gamma(\tau(2S) \rightarrow \tau(1S)\pi^+\pi^-)/\Gamma_{\text{total}}] \times [B(\tau(3S) \rightarrow \tau(2S)\text{anything})] = (1.78 \pm 0.02 \pm 0.11) \times 10^{-2}$ which we divide by our best value $B(\tau(3S) \rightarrow \tau(2S)\text{anything}) = (10.6 \pm 0.8) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

²Using $B(\tau(1S) \rightarrow \mu^+\mu^-) = (2.48 \pm 0.05)\%$.

³A weighted average of the inclusive and exclusive results.

⁴Using $B(\tau(2S) \rightarrow e^+e^-) = (1.91 \pm 0.16)\%$, $B(\tau(2S) \rightarrow \mu^+\mu^-) = (1.93 \pm 0.17)\%$ and, $\Gamma_{ee}(\tau(2S)) = 0.612 \pm 0.011 \text{ keV}$.

⁵Using $B(\tau(1S) \rightarrow e^+e^-) = (2.52 \pm 0.17)\%$ and $B(\tau(1S) \rightarrow \mu^+\mu^-) = (2.48 \pm 0.07)\%$.

$$ \Gamma(\tau(1S)\pi^0\pi^0)/\Gamma_{\text{total}} \qquad \Gamma_2/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>8.6 ±0.4 OUR AVERAGE</strong></td></tr><tr><td>8.43±0.16±0.42</td><td>38K</td><td>1 BHARI</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → π<sup>0</sup>π<sup>0</sup>ℓ<sup>+</sup>ℓ<sup>-</sup></td></tr><tr><td>9.2 ±0.6 ±0.8</td><td>275</td><td>2 ALEXANDER</td><td>98</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> → π<sup>0</sup>π<sup>0</sup>ℓ<sup>+</sup>ℓ<sup>-</sup></td></tr><tr><td>9.5 ±1.9 ±1.9</td><td>25</td><td>ALBRECHT</td><td>87</td><td>ARG e<sup>+</sup>e<sup>-</sup> → π<sup>0</sup>π<sup>0</sup>ℓ<sup>+</sup>ℓ<sup>-</sup></td></tr><tr><td>8.0 ±1.5</td><td></td><td>GELPHMAN</td><td>85</td><td>CBAL e<sup>+</sup>e<sup>-</sup> → π<sup>0</sup>π<sup>0</sup>ℓ<sup>+</sup>ℓ<sup>-</sup></td></tr><tr><td>10.3 ±2.3</td><td></td><td>FONSECA</td><td>84</td><td>CUSB e<sup>+</sup>e<sup>-</sup> → π<sup>0</sup>π<sup>0</sup>ℓ<sup>+</sup>ℓ<sup>-</sup></td></tr></tbody></table>

¹Authors assume $B(\tau(1S) \rightarrow e^+e^-) + B(\tau(1S) \rightarrow \mu^+\mu^-) = 4.96\%$.

²Using $B(\tau(1S) \rightarrow e^+e^-) = (2.52 \pm 0.17)\%$ and $B(\tau(1S) \rightarrow \mu^+\mu^-) = (2.48 \pm 0.07)\%$.

$$ \Gamma(\tau(1S)\pi^0\pi^0)/\Gamma(\tau(1S)\pi^+\pi^-) \qquad \Gamma_2/\Gamma_1 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.462±0.037</td><td>1 BHARI</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → τ(2S)</td></tr></tbody></table>

¹Not independent of other values reported by BHARI 09.

$$ \Gamma(\tau^+\tau^-)/\Gamma_{\text{total}} \qquad \Gamma_3/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>2.00±0.21 OUR AVERAGE</strong></td></tr><tr><td>2.00±0.12±0.18</td><td>22K</td><td>1 BESSON</td><td>07</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → τ(2S) → τ<sup>+</sup>τ<sup>-</sup></td></tr><tr><td>1.7 ±1.5 ±0.6</td><td></td><td>HAAS</td><td>84B</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → τ<sup>+</sup>τ<sup>-</sup></td></tr></tbody></table>

¹BESSON 07 reports $[\Gamma(\tau(2S) \rightarrow \tau^+\tau^-)/\Gamma_{\text{total}}] / [B(\tau(2S) \rightarrow \mu^+\mu^-)] = 1.04 \pm 0.04 \pm 0.05$ which we multiply by our best value $B(\tau(2S) \rightarrow \mu^+\mu^-) = (1.93 \pm 0.17) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(\mu^+\mu^-)/\Gamma_{\text{total}} \qquad \Gamma_4/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>0.0193±0.0017 OUR AVERAGE</strong> Error includes scale factor of 2.2. See the ideogram below.</td></tr><tr><td>0.0203±0.0003±0.0008</td><td>120K</td><td>ADAMS</td><td>05</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → μ<sup>+</sup>μ<sup>-</sup></td><td></td></tr><tr><td>0.0122±0.0028±0.0019</td><td></td><td>1 KOBEL</td><td>92</td><td>CBAL e<sup>+</sup>e<sup>-</sup> → μ<sup>+</sup>μ<sup>-</sup></td><td></td></tr><tr><td>0.0138±0.0025±0.0015</td><td></td><td>KAARSBERG</td><td>89</td><td>CSB2 e<sup>+</sup>e<sup>-</sup> → μ<sup>+</sup>μ<sup>-</sup></td><td></td></tr><tr><td>0.009 ±0.006 ±0.006</td><td></td><td>2 ALBRECHT</td><td>85</td><td>ARG e<sup>+</sup>e<sup>-</sup> → μ<sup>+</sup>μ<sup>-</sup></td><td></td></tr><tr><td>0.018 ±0.008 ±0.005</td><td></td><td>HAAS</td><td>84B</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → μ<sup>+</sup>μ<sup>-</sup></td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
<0.038 90 NICZYPORUK 81C LENA e<sup>+</sup>e<sup>-</sup> → μ<sup>+</sup>μ<sup>-</sup>

¹Taking into account interference between the resonance and continuum.

²Re-evaluated using $B(\tau(1S) \rightarrow \mu^+\mu^-) = 0.026$.

<figure><img src="image_698.png" /></figure>

$$ \Gamma(\tau^+\tau^-)/\Gamma(\mu^+\mu^-) \qquad \Gamma_3/\Gamma_4 $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.04±0.04±0.05</td><td>22K</td><td>BESSON</td><td>07</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → τ(2S)</td></tr></tbody></table>

$$ \Gamma(\tau(1S)\pi^0)/\Gamma_{\text{total}} \qquad \Gamma_6/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;4</td><td>90</td><td>1 TAMPONI</td><td>13</td><td>BELL e<sup>+</sup>e<sup>-</sup> → τ(1S)π<sup>0</sup></td></tr><tr><td>&lt;18</td><td>90</td><td>2 HE</td><td>08A</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>γγ</td></tr><tr><td>&lt;110</td><td>90</td><td>ALEXANDER</td><td>98</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>γγ</td></tr><tr><td>&lt;800</td><td>90</td><td>LURZ</td><td>87</td><td>CBAL e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>γγ</td></tr></tbody></table>

¹TAMPONI 13 reports $[\Gamma(\tau(2S) \rightarrow \tau(1S)\pi^0)/\Gamma_{\text{total}}] / [B(\tau(2S) \rightarrow \tau(1S)\pi^+\pi^-)] < 2.3 \times 10^{-4}$ which we multiply by our best value $B(\tau(2S) \rightarrow \tau(1S)\pi^+\pi^-) = 17.85 \times 10^{-2}$.

²Authors assume $B(\tau(1S) \rightarrow e^+e^-) + B(\tau(1S) \rightarrow \mu^+\mu^-) = 4.96\%$.

$$ \Gamma(\tau(1S)\pi^0)/\Gamma(\tau(1S)\pi^+\pi^-) \qquad \Gamma_6/\Gamma_1 $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;2.3</td><td>90</td><td>TAMPONI</td><td>13</td><td>BELL e<sup>+</sup>e<sup>-</sup> → τ(1S)π<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(\tau(1S)\eta)/\Gamma_{\text{total}} \qquad \Gamma_7/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

2.9 ±0.4 OUR FIT Error includes scale factor of 2.0.

2.9 ±0.4 OUR AVERAGE Error includes scale factor of 1.9. See the ideogram below.

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.39±0.31±0.14</td><td>112</td><td>1 LEES</td><td>11L</td><td>BABR τ(2S) → ℓ<sup>+</sup>ℓ<sup>-</sup>η</td></tr><tr><td>2.1 +0.7<br>-0.6 ±0.3</td><td>14</td><td>2 HE</td><td>08A</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>η</td></tr></tbody></table>

• • • We use the following data for averages but not for fits. • • •

<table><thead><tr><th>3.55±0.32±0.05</th><th>241</th><th>3 TAMPONI</th><th>13</th><th>BELL e<sup>+</sup>e<sup>-</sup> → τ(1S)η</th></tr></thead><tbody><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr></tbody></table>

<table><caption>WEIGHTED AVERAGE
2.9±0.4 (Error scaled by 1.9)</caption><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;9</td><td>90</td><td>1,4 AUBERT</td><td>08BP</td><td>BABR e<sup>+</sup>e<sup>-</sup> → γπ<sup>+</sup>π<sup>-</sup>π<sup>0</sup>ℓ<sup>+</sup>ℓ<sup>-</sup></td></tr><tr><td>&lt;28</td><td>90</td><td>ALEXANDER</td><td>98</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>η</td></tr><tr><td>&lt;50</td><td>90</td><td>ALBRECHT</td><td>87</td><td>ARG e<sup>+</sup>e<sup>-</sup> → π<sup>+</sup>π<sup>-</sup>ℓ<sup>+</sup>ℓ<sup>-</sup>MM</td></tr><tr><td>&lt;70</td><td>90</td><td>LURZ</td><td>87</td><td>CBAL e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>(γγ, 3π<sup>0</sup>)</td></tr><tr><td>&lt;100</td><td>90</td><td>BESSON</td><td>84</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → π<sup>+</sup>π<sup>-</sup>ℓ<sup>+</sup>ℓ<sup>-</sup>MM</td></tr><tr><td>&lt;20</td><td>90</td><td>FONSECA</td><td>84</td><td>CUSB e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>(γγ, π<sup>+</sup>π<sup>-</sup>π<sup>0</sup>)</td></tr></tbody></table>

<figure><img src="image_699.png" /></figure>

Values above of weighted average, error, and scale factor are based upon the data in this ideogram only. They are not necessarily the same as our 'best' values, obtained from a least-squares constrained fit utilizing measurements of other (related) quantities as additional information.

¹Using $B(\tau(1S) \rightarrow e^+e^-) = (2.38 \pm 0.11)\%$ and $B(\tau(1S) \rightarrow \mu^+\mu^-) = (2.48 \pm 0.05)\%$.
²Authors assume B(Γ(1S) → e⁺e⁻) + B(Γ(1S) → μ⁺μ⁻) = 4.96%.

³TAMPONI 13 reports [Γ(Γ(2S) → Γ(1S)η)/Γ<sub>total</sub>] / [B(Γ(2S) → Γ(1S)π⁺π⁻)] = (1.99 ± 0.14 ± 0.11) × 10⁻³ which we multiply by our best value B(Γ(2S) → Γ(1S)π⁺π⁻) = (17.85 ± 0.26) × 10⁻². Our first error is their experiment's error and our second error is the systematic error from using our best value.

⁴Using Γ<sub>ee</sub>(Γ(2S)) = 0.612 ± 0.011 keV.

$$ \Gamma(\Gamma(1S)\eta)/\Gamma(\Gamma(1S)\pi^+\pi^-) \qquad \Gamma_7/\Gamma_1 $$

VALUE (units 10⁻³) CL% EVTS DOCUMENT ID TECN COMMENT

1.64±0.25 OUR FIT Error includes scale factor of 2.0.

1.99±0.14±0.11 241 TAMPONI 13 BELL e⁺e⁻ → Γ(1S)η

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>1.35±0.17±0.08</td><td>1 LEES</td><td>11L</td><td>BABR</td><td>Γ(2S) → (π⁺π⁻)(γγ)μ⁺μ⁻</td></tr><tr><td>&lt; 5.2</td><td>90</td><td>2 AUBERT</td><td>08BP</td><td>e⁺e⁻ → γπ⁺π⁻(π⁰)ℓ⁺ℓ⁻</td></tr></table>

¹Not independent of other values reported by LEES 11L.

²Not independent of other values reported by AUBERT 08BP.

$$ \Gamma(\Gamma(1S)\pi^0)/\Gamma(\Gamma(1S)\eta) \qquad \Gamma_6/\Gamma_7 $$

VALUE CL% DOCUMENT ID TECN COMMENT

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>&lt;0.13</td><td>90</td><td>TAMPONI</td><td>13</td><td>BELL e⁺e⁻ → Γ(1S)π⁰</td></tr></table>

$$ \Gamma(J/\psi(1S) \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_8/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;0.006</td><td>90</td><td>MASCHMANN</td><td>90</td><td>CBAL e⁺e⁻ → hadrons</td></tr></table>

$$ \Gamma(J/\psi(1S)\eta_c)/\Gamma_{\text{total}} \qquad \Gamma_9/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;5.4 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → J/ψX</td></tr></table>

$$ \Gamma(J/\psi(1S)\chi_{c0})/\Gamma_{\text{total}} \qquad \Gamma_{10}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;3.4 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → J/ψX</td></tr></table>

$$ \Gamma(J/\psi(1S)\chi_{c1})/\Gamma_{\text{total}} \qquad \Gamma_{11}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;1.2 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → J/ψX</td></tr></table>

$$ \Gamma(J/\psi(1S)\chi_{c2})/\Gamma_{\text{total}} \qquad \Gamma_{12}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;2.0 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → J/ψX</td></tr></table>

$$ \Gamma(J/\psi(1S)\eta_c(2S))/\Gamma_{\text{total}} \qquad \Gamma_{13}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;2.5 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → J/ψX</td></tr></table>

$$ \Gamma(J/\psi(1S)X(3940))/\Gamma_{\text{total}} \qquad \Gamma_{14}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;2.0 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → J/ψX</td></tr></table>

$$ \Gamma(J/\psi(1S)X(4160))/\Gamma_{\text{total}} \qquad \Gamma_{15}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;2.0 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → J/ψX</td></tr></table>

$$ \Gamma(\chi_{c1} \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{16}/\Gamma $$

<table><tr><td>VALUE (units 10⁻⁴) EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>2.24±0.44±0.20</td><td>376</td><td>JIA</td><td>17</td><td>BELL Γ(2S) → γJ/ψ(1S)</td></tr></table>

$$ \Gamma(\chi_{c1}(1P)^0 X_{\text{tetra}})/\Gamma_{\text{total}} \qquad \Gamma_{17}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;36.7 × 10⁻⁶</td><td>90</td><td>1 JIA</td><td>17A</td><td>BELL e⁺e⁻ → hadrons</td></tr></table>

¹For a tetraquark state X<sub>tetra</sub>, with mass in the range 1.16-2.46 GeV and width in the range 0-0.3 GeV. Measured 90% CL limits as a function of X<sub>tetra</sub> mass and width range from 4.4 × 10⁻⁶ to 36.7 × 10⁻⁶.

$$ \Gamma(\chi_{c2} \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{18}/\Gamma $$

<table><tr><td>VALUE (units 10⁻⁴) EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>2.28±0.73±0.34</td><td>17</td><td>JIA</td><td>BELL Γ(2S) → γJ/ψ(1S)</td></tr></table>

$$ \Gamma(\psi(2S)\eta_c)/\Gamma_{\text{total}} \qquad \Gamma_{19}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;5.1 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → ψ(2S)X</td></tr></table>

$$ \Gamma(\psi(2S)\chi_{c0})/\Gamma_{\text{total}} \qquad \Gamma_{20}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;4.7 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → ψ(2S)X</td></tr></table>

$$ \Gamma(\psi(2S)\chi_{c1})/\Gamma_{\text{total}} \qquad \Gamma_{21}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;2.5 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → ψ(2S)X</td></tr></table>

$$ \Gamma(\psi(2S)\chi_{c2})/\Gamma_{\text{total}} \qquad \Gamma_{22}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;1.9 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → ψ(2S)X</td></tr></table>

$$ \Gamma(\psi(2S)\eta_c(2S))/\Gamma_{\text{total}} \qquad \Gamma_{23}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;3.3 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → ψ(2S)X</td></tr></table>

$$ \Gamma(\psi(2S)X(3940))/\Gamma_{\text{total}} \qquad \Gamma_{24}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;3.9 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → ψ(2S)X</td></tr></table>

$$ \Gamma(\psi(2S)X(4160))/\Gamma_{\text{total}} \qquad \Gamma_{25}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;3.9 × 10⁻⁶</td><td>90</td><td>YANG</td><td>14</td><td>BELL e⁺e⁻ → ψ(2S)X</td></tr></table>

$$ \Gamma(T_{c\bar{c}1}(3900) + T_{c\bar{c}1}(3900)^-)/\Gamma_{\text{total}} \qquad \Gamma_{26}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;1.0 × 10⁻⁶</td><td>90</td><td>1 JIA</td><td>18</td><td>BELL Γ(2S) → J/ψπ⁺X</td></tr></table>

¹Assuming B(T<sub>c<span style="text-decoration: overline">c</span>1)(3900)± → J/ψπ⁺) = 1.

$$ \Gamma(T_{c\bar{c}1}(4200) + T_{c\bar{c}1}(4200)^-)/\Gamma_{\text{total}} \qquad \Gamma_{27}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;16.7 × 10⁻⁶</td><td>90</td><td>1 JIA</td><td>18</td><td>BELL Γ(1S) → J/ψπ⁺X</td></tr></table>

¹Assuming B(T<sub>c<span style="text-decoration: overline">c</span>1)(4200)± → J/ψπ⁺) = 1.

$$ \Gamma(T_{c\bar{c}1}(3900)^{\pm} + T_{c\bar{c}1}(4200)^{\mp})/\Gamma_{\text{total}} \qquad \Gamma_{28}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;7.3 × 10⁻⁶</td><td>90</td><td>1 JIA</td><td>18</td><td>BELL Γ(2S) → J/ψπ⁺X</td></tr></table>

¹Assuming B(T<sub>c<span style="text-decoration: overline">c</span>1)(4200)± → J/ψπ⁺) = 1 = B(T<sub>c<span style="text-decoration: overline">c</span>1</sub>(3900)± → J/ψπ⁺).

$$ \Gamma(T_{c\bar{c}1}(4050) + T_{c\bar{c}1}(4050)^-)/\Gamma_{\text{total}} \qquad \Gamma_{29}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;13.5 × 10⁻⁶</td><td>90</td><td>1 JIA</td><td>18</td><td>BELL Γ(2S) → χ<sub>c1</sub>(1P)π⁺X</td></tr></table>

¹Assuming B(T<sub>c<span style="text-decoration: overline">c</span>1)(4050)± → χ<sub>c1</sub>(1P)π⁺) = 1.

$$ \Gamma(T_{c\bar{c}1}(4250) + T_{c\bar{c}1}(4250)^-)/\Gamma_{\text{total}} \qquad \Gamma_{30}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;26.7 × 10⁻⁶</td><td>90</td><td>1 JIA</td><td>18</td><td>BELL Γ(2S) → χ<sub>c1</sub>(1P)π⁺X</td></tr></table>

¹Assuming B(T<sub>c<span style="text-decoration: overline">c</span>1</sub>(4250)± → χ<sub>c1</sub>(1P)π⁺) = 1.

$$ \Gamma(T_{c\bar{c}1}(4050)^{\pm} + T_{c\bar{c}1}(4250)^{\mp})/\Gamma_{\text{total}} \qquad \Gamma_{31}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;27.2 × 10⁻⁶</td><td>90</td><td>1 JIA</td><td>18</td><td>BELL Γ(2S) → χ<sub>c1</sub>(1P)π⁺X</td></tr></table>

¹Assuming B(T<sub>c<span style="text-decoration: overline">c</span>1</sub>(4050)± → χ<sub>c1</sub>(1P)π⁺) = 1 = B(T<sub>c<span style="text-decoration: overline">c</span>1</sub>(4250)± → χ<sub>c1</sub>(1P)π⁺).

$$ \Gamma(T_{c\bar{c}1}(4430) + T_{c\bar{c}1}(4430)^-)/\Gamma_{\text{total}} \qquad \Gamma_{32}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;20.3 × 10⁻⁶</td><td>90</td><td>1 JIA</td><td>18</td><td>BELL Γ(2S) → ψ(2S)π⁺X</td></tr></table>

¹Assuming B(T<sub>c<span style="text-decoration: overline">c</span>1</sub>(4430)± → ψ(2P)π⁺) = 1.

$$ \Gamma(T_{c\bar{c}1}(4055)^{\pm} + T_{c\bar{c}1}(4055)^{\mp})/\Gamma_{\text{total}} \qquad \Gamma_{33}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;11.1 × 10⁻⁶</td><td>90</td><td>1 JIA</td><td>18</td><td>BELL Γ(2S) → ψ(2S)π⁺X</td></tr></table>

¹Assuming B(T<sub>c<span style="text-decoration: overline">c</span>1</sub>(4055)± → ψ(2S)π⁺) = 1.

$$ \Gamma(T_{c\bar{c}1}(4055)^{\pm} + T_{c\bar{c}1}(4430)^{\mp})/\Gamma_{\text{total}} \qquad \Gamma_{34}/\Gamma $$

<table><tr><td>VALUE CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;21.1 × 10⁻⁶</td><td>90</td><td>1 JIA</td><td>18</td><td>BELL Γ(2S) → ψ(2S)π⁺X</td></tr></table>

¹Assuming B(T<sub>c<span style="text-decoration: overline">c</span>1</sub>(4055)± → ψ(2S)π⁺) = 1 = B(T<sub>c<span style="text-decoration: overline">c</span>1</sub>(4430)± → ψ(2S)π⁺).

$$ \Gamma(\bar{\psi}^2 \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{35}/\Gamma $$

<table><tr><td>VALUE (units 10⁻⁵) EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr></table>

².78±0.30/0.26 OUR AVERAGE Error includes scale factor of 1.2.

<table><tr><td>2.64±0.11±0.26</td><td>LEES</td><td>14G</td><td>BABR</td><td>e⁺e⁻ → 2H X</td></tr><tr><td>3.37±0.50±0.25</td><td>ASNER</td><td>07</td><td>CLEO</td><td>e⁺e⁻ → 2H X</td></tr></table>

$$ \Gamma(gg)/\Gamma_{\text{total}} \qquad \Gamma_{37}/\Gamma $$

<table><tr><td>VALUE (units 10⁻²) EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>58.8±1.2</td><td>6M</td><td>1 BESSON</td><td>06A</td><td>CLEO Γ(2S) → hadrons</td></tr></table>

¹Calculated using the value Γ(γg g)/Γ(g g g) = (3.18 ± 0.04 ± 0.22 ± 0.41)% from BESSON 06A and PDG 08 values of B(π⁺π⁻ Γ(1S)) = (18.1 ± 0.4)% , B(π⁰ π⁰ Γ(1S)) = (8.6 ± 0.4)% , B(μ⁺ μ⁻) = (1.93 ± 0.17)% , and R<sub>hadrons</sub> = 3.51. The statistical error is negligible and the systematic error is partially correlated with that of Γ(γg g)/Γ<sub>total</sub> measurement of BESSON 06A.

$$ \Gamma(\gamma g g)/\Gamma(gg) \qquad \Gamma_{38}/\Gamma_{37} $$

<table><tr><td>VALUE (units 10⁻²) EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>3.18±0.04±0.47</td><td>6M</td><td>BESSON</td><td>06A</td><td>CLEO Γ(2S) → (γ +) hadrons</td></tr></table>
$$ \Gamma(\phi K^+ K^-) / \Gamma_{\text{total}} \qquad \Gamma_{39}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>1.58&plusmn;0.33&plusmn;0.18</td><td>58</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>12A</td><td>&Gamma;(1S) &rarr; 2(K<sup>+</sup> K<sup>-</sup>)</td></tr></tbody></table>

$$ \Gamma(\omega\pi^+\pi^-) / \Gamma_{\text{total}} \qquad \Gamma_{40}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;2.58</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>12A</td><td>&Gamma;(1S) &rarr; 2(&pi;<sup>+</sup> &pi;<sup>-</sup>)&pi;<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(K^*(892)^0 K^- \pi^+ + \text{c.c.}) / \Gamma_{\text{total}} \qquad \Gamma_{41}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>2.32&plusmn;0.40&plusmn;0.54</td><td>135</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>12A</td><td>&Gamma;(1S) &rarr; K<sup>+</sup> K<sup>-</sup> &pi;<sup>+</sup> &pi;<sup>-</sup></td></tr></tbody></table>

$$ \Gamma(\phi f_2^*(1525)) / \Gamma_{\text{total}} \qquad \Gamma_{42}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;1.33</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>12A</td><td>&Gamma;(1S) &rarr; 2(K<sup>+</sup> K<sup>-</sup>)</td></tr></tbody></table>

$$ \Gamma(\omega f_2(1270)) / \Gamma_{\text{total}} \qquad \Gamma_{43}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;0.57</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>12A</td><td>&Gamma;(1S) &rarr; 2(&pi;<sup>+</sup> &pi;<sup>-</sup>)&pi;<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(\rho(770) a_2(1320)) / \Gamma_{\text{total}} \qquad \Gamma_{44}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;0.88</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>12A</td><td>&Gamma;(1S) &rarr; 2(&pi;<sup>+</sup> &pi;<sup>-</sup>)&pi;<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(K^*(892)^0 \bar{R}_2^*(1430)^0 + \text{c.c.}) / \Gamma_{\text{total}} \qquad \Gamma_{45}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>1.53&plusmn;0.52&plusmn;0.19</td><td>32</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>12A</td><td>&Gamma;(1S) &rarr; K<sup>+</sup> K<sup>-</sup> &pi;<sup>+</sup> &pi;<sup>-</sup></td></tr></tbody></table>

$$ \Gamma(K_1(1270) \pm K^\mp) / \Gamma_{\text{total}} \qquad \Gamma_{46}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;3.22</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>12A</td><td>&Gamma;(1S) &rarr; K<sup>+</sup> K<sup>-</sup> &pi;<sup>+</sup> &pi;<sup>-</sup></td></tr></tbody></table>

$$ \Gamma(K_1(1400) \pm K^\mp) / \Gamma_{\text{total}} \qquad \Gamma_{47}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;0.83</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>12A</td><td>&Gamma;(1S) &rarr; K<sup>+</sup> K<sup>-</sup> &pi;<sup>+</sup> &pi;<sup>-</sup></td></tr></tbody></table>

$$ \Gamma(b_1(1235) \pm \pi^\mp) / \Gamma_{\text{total}} \qquad \Gamma_{48}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;0.40</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>12A</td><td>&Gamma;(1S) &rarr; 2(&pi;<sup>+</sup> &pi;<sup>-</sup>)&pi;<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(\rho\pi) / \Gamma_{\text{total}} \qquad \Gamma_{49}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;1.16</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>13</td><td>&Gamma;(2S) &rarr; &pi;<sup>+</sup> &pi;<sup>-</sup> &pi;<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(\pi^+ \pi^- \pi^0) / \Gamma_{\text{total}} \qquad \Gamma_{50}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;0.80</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>13</td><td>&Gamma;(2S) &rarr; &pi;<sup>+</sup> &pi;<sup>-</sup> &pi;<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(\omega\pi^0) / \Gamma_{\text{total}} \qquad \Gamma_{51}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;1.63</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>13</td><td>&Gamma;(2S) &rarr; &pi;<sup>+</sup> &pi;<sup>-</sup> &pi;<sup>0</sup> &pi;<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(\pi^+ \pi^- \pi^0 \pi^0) / \Gamma_{\text{total}} \qquad \Gamma_{52}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>13.0&plusmn;1.9&plusmn;2.1</td><td>261 &plusmn; 37</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>13</td><td>&Gamma;(2S) &rarr; &pi;<sup>+</sup> &pi;<sup>-</sup> &pi;<sup>0</sup> &pi;<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(K_0^S K^+ \pi^- + \text{c.c.}) / \Gamma_{\text{total}} \qquad \Gamma_{53}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th><th>EVTS</th></tr></thead><tbody><tr><td>1.14&plusmn;0.30&plusmn;0.13</td><td>40 &plusmn; 10</td><td>SHEN</td><td>13</td><td>BELL</td><td>&Gamma;(2S) &rarr; K_0^S K^- &pi;<sup>+</sup></td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>13</td><td>&Gamma;(2S) &rarr; K_0^S K^- &pi;<sup>+</sup></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
<3.2 90 1 DOBBS 12A &Gamma;(2S) &rarr; K_0^S K^- &pi;<sup>+</sup>

$$ \Gamma(K^*(892)^0 \bar{R}^0 + \text{c.c.}) / \Gamma_{\text{total}} \qquad \Gamma_{54}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;4.22</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>13</td><td>&Gamma;(2S) &rarr; K_0^S K^- &pi;<sup>+</sup></td></tr></tbody></table>

$$ \Gamma(K^*(892)^0 K^- + \text{c.c.}) / \Gamma_{\text{total}} \qquad \Gamma_{55}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;1.45</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SHEN</td><td>13</td><td>&Gamma;(2S) &rarr; K_0^S K^- &pi;<sup>+</sup></td></tr></tbody></table>

$$ \Gamma(f_1(1285) \text{anything}) / \Gamma_{\text{total}} \qquad \Gamma_{56}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>2.20&plusmn;1.50&plusmn;0.63</td><td>2.9k</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>JIA</td><td>17A</td><td>e<sup>+</sup>e<sup>-</sup> &rarr; hadrons</td></tr></tbody></table>

$$ \Gamma(f_1(1285) X_{\text{tetra}}) / \Gamma_{\text{total}} \qquad \Gamma_{57}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;64.7 &times; 10<sup>-6</sup></td><td>90</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1 JIA</td><td>17A</td><td>e<sup>+</sup>e<sup>-</sup> &rarr; hadrons</td></tr></tbody></table>

$$ \Gamma(D_s^+ D_{s1}(2536)^-, D_{s1}^-) / \Gamma_{\text{total}} \qquad \Gamma_{59}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.6&plusmn;0.3&plusmn;0.2</td><td>GAO</td><td>23</td><td>e<sup>+</sup>e<sup>-</sup> at 10.52 GeV</td></tr></tbody></table>



$$ \Gamma(D_s^+ D_{s1}(2536)^-, D_{s1}^-) / \Gamma_{\text{total}} \qquad \Gamma_{60}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.84&plusmn;0.18&plusmn;0.15</td><td>GAO</td><td>23</td><td>e<sup>+</sup>e<sup>-</sup> at 10.52 GeV</td></tr></tbody></table>



$$ \Gamma(D_s^+ D_{s1}(2536)^-, D_{s1}^-) / \Gamma_{\text{total}} \qquad \Gamma_{62}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.4&plusmn;0.4&plusmn;0.2</td><td>GAO</td><td>23</td><td>e<sup>+</sup>e<sup>-</sup> at 10.52 GeV</td></tr></tbody></table>



$$ \Gamma(D_s^+ D_{s1}(2536)^-, D_{s1}^-) / \Gamma_{\text{total}} \qquad \Gamma_{63}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.82&plusmn;0.25&plusmn;0.19</td><td>GAO</td><td>23</td><td>e<sup>+</sup>e<sup>-</sup> at 10.52 GeV</td></tr></tbody></table>



$$ \Gamma(D_s^+ D_{s2}^-(2573)^-, D_{s2}^-) / \Gamma_{\text{total}} \qquad \Gamma_{65}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.4&plusmn;0.4&plusmn;0.2</td><td>GAO</td><td>23</td><td>e<sup>+</sup>e<sup>-</sup> at 10.52 GeV</td></tr></tbody></table>



$$ \Gamma(D_s^+ D_{s2}^-(2573)^-, D_{s2}^-) / \Gamma_{\text{total}} \qquad \Gamma_{66}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.69&plusmn;0.20&plusmn;0.22</td><td>GAO</td><td>23</td><td>e<sup>+</sup>e<sup>-</sup> at 10.52 GeV</td></tr></tbody></table>



$$ \Gamma(D_s^+ D_{s2}^-(2573)^-, D_{s2}^-) / \Gamma_{\text{total}} \qquad \Gamma_{68}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.9&plusmn;0.5&plusmn;0.2</td><td>GAO</td><td>23</td><td>e<sup>+</sup>e<sup>-</sup> at 10.52 GeV</td></tr></tbody></table>



$$ \Gamma(D_s^+ D_{s2}^-(2573)^-, D_{s2}^-) / \Gamma_{\text{total}} \qquad \Gamma_{69}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.54&plusmn;0.31&plusmn;0.47</td><td>GAO</td><td>23</td><td>e<sup>+</sup>e<sup>-</sup> at 10.52 GeV</td></tr></tbody></table>



$$ \Gamma(\text{Sum of 100 exclusive modes}) / \Gamma_{\text{total}} \qquad \Gamma_{70}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.29&plusmn;0.03</td><td>1,2 DOBBS</td><td>12A &rarr; hadrons</td></tr></tbody></table>



$$ \Gamma(\gamma\chi_{b1}(1P)) / \Gamma_{\text{total}} \qquad \Gamma_{71}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>0.069 &plusmn; 0.004</td><td>OUR AVERAGE</td></tr></tbody></table>



<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ARTUSO</td><td>05</td><td>CLEO e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;X</td></tr><tr><td>EDWARDS</td><td>99</td><td>CLE2 &Gamma;(2S) &rarr; &gamma;X(1P)</td></tr><tr><td>ALBRECHT</td><td>85E ARG</td><td>e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;conv. X</td></tr><tr><td>NERNST</td><td>85 CBAL</td><td>e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;X</td></tr><tr><td>HAAS</td><td>84</td><td>CLEO e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;conv. X</td></tr><tr><td>KLOPFEN...</td><td>83</td><td>CUSB e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;X</td></tr></tbody></table>



$$ \Gamma(\gamma\chi_{b2}(1P)) / \Gamma_{\text{total}} \qquad \Gamma_{72}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>0.0715 &plusmn; 0.0035</td><td>OUR AVERAGE</td></tr></tbody></table>



<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ARTUSO</td><td>05</td><td>CLEO e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;X</td></tr><tr><td>EDWARDS</td><td>99</td><td>CLE2 &Gamma;(2S) &rarr; &gamma;X(1P)</td></tr><tr><td>ALBRECHT</td><td>85E ARG</td><td>e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;conv. X</td></tr><tr><td>NERNST</td><td>85 CBAL</td><td>e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;X</td></tr><tr><td>HAAS</td><td>84</td><td>CLEO e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;conv. X</td></tr><tr><td>KLOPFEN...</td><td>83</td><td>CUSB e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;X</td></tr></tbody></table>



$$ \Gamma(\gamma\chi_{b0}(1P)) / \Gamma_{\text{total}} \qquad \Gamma_{73}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>0.038 &plusmn; 0.004</td><td>OUR AVERAGE</td></tr></tbody></table>



<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ARTUSO</td><td>05</td><td>CLEO e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;X</td></tr><tr><td>EDWARDS</td><td>99</td><td>CLE2 &Gamma;(2S) &rarr; &gamma;X(1P)</td></tr><tr><td>ALBRECHT</td><td>85E ARG</td><td>e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;conv. X</td></tr><tr><td>NERNST</td><td>85 CBAL</td><td>e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;X</td></tr><tr><td>HAAS</td><td>84</td><td>CLEO e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;conv. X</td></tr><tr><td>KLOPFEN...</td><td>83</td><td>CUSB e<sup>+</sup>e<sup>-</sup> &rarr; &gamma;X</td></tr></tbody></table>



<footnote n="1">¹Obtained by analyzing CLEO III data but not authored by the CLEO Collaboration.</footnote>

<footnote n="1">¹For a tetraquark state $X_{\text{tetra}}$, with mass in the range 1.16–2.46 GeV and width in the range 0–0.3 GeV. Measured 90% CL limits as a function of $X_{\text{tetra}}$ mass and width range from 7.8 × 10⁻⁶ to 64.7 × 10⁻⁶.</footnote>

<footnote n="1">¹DOBBS 12A presents individual exclusive branching fractions or upper limits for 100 modes of four to ten pions, kaons, or protons.</footnote>

<footnote n="2">²Obtained by analyzing CLEO III data but not authored by the CLEO Collaboration.</footnote>
$$ \Gamma(\gamma f_0(1710))/\Gamma_{\text{total}} \quad \Gamma_{74}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;59</td><td>90</td><td>1 ALBRECHT</td><td>89</td><td>ARG</td><td>Γ(2S) → γK<sup>+</sup>K<sup>-</sup></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>&lt; 5.9</td><td>90</td><td>2 ALBRECHT</td><td>89</td><td>ARG</td><td>Γ(2S) → γπ<sup>+</sup>π<sup>-</sup></td></tr></tbody></table>

¹Re-evaluated assuming $B(f_0(1710) → K^+K^-) = 0.19$.

²Includes unknown branching ratio of $f_0(1710) → π^+π^-$.

$$ \Gamma(\gamma f'_2(1525))/\Gamma_{\text{total}} \quad \Gamma_{75}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;53</td><td>90</td><td>1 ALBRECHT</td><td>89</td><td>ARG</td><td>Γ(2S) → γK<sup>+</sup>K<sup>-</sup></td></tr></tbody></table>

¹Re-evaluated assuming $B(f'_2(1525) → K\bar{K}) = 0.71$.

$$ \Gamma(\gamma f_2(1270))/\Gamma_{\text{total}} \quad \Gamma_{76}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;24.1</td><td>90</td><td>1 ALBRECHT</td><td>89</td><td>ARG</td><td>Γ(2S) → γπ<sup>+</sup>π<sup>-</sup></td></tr></tbody></table>

¹Using $B(f_2(1270) → ππ) = 0.84$.

$$ \Gamma(\gamma f_j(2220))/\Gamma_{\text{total}} \quad \Gamma_{77}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>&lt;6.8</td><td>90</td><td>1 ALBRECHT</td><td>89</td><td>ARG</td><td>Γ(2S) → γK<sup>+</sup>K<sup>-</sup></td></tr></tbody></table>

¹Includes unknown branching ratio of $f_j(2220) → K^+K^-$.

$$ \Gamma(\gamma\eta_c(1S))/\Gamma_{\text{total}} \quad \Gamma_{78}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;2.7 × 10<sup>-5</sup></td><td>90</td><td>WANG</td><td>11B</td><td>BELL</td><td>Γ(2S) → γX</td></tr></tbody></table>

$$ \Gamma(\gamma\chi_c0)/\Gamma_{\text{total}} \quad \Gamma_{79}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.0 × 10<sup>-4</sup></td><td>90</td><td>WANG</td><td>11B</td><td>BELL</td><td>Γ(2S) → γX</td></tr></tbody></table>

$$ \Gamma(\gamma\chi_c1)/\Gamma_{\text{total}} \quad \Gamma_{80}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;3.6 × 10<sup>-6</sup></td><td>90</td><td>WANG</td><td>11B</td><td>BELL</td><td>Γ(2S) → γX</td></tr></tbody></table>

$$ \Gamma(\gamma\chi_c2)/\Gamma_{\text{total}} \quad \Gamma_{81}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.5 × 10<sup>-5</sup></td><td>90</td><td>WANG</td><td>11B</td><td>BELL</td><td>Γ(2S) → γX</td></tr></tbody></table>

$$ \Gamma(\gamma\chi_c1(3872))/\Gamma_{\text{total}} \quad \Gamma_{82}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;2.3 × 10<sup>-5</sup></td><td>90</td><td>1 WANG</td><td>11B</td><td>BELL</td><td>Γ(2S) → γX</td></tr></tbody></table>

¹WANG 11B reports $[\Gamma(\gamma(2S) → \gamma\chi_c1(3872))/\Gamma_{\text{total}}] \times [B(\chi_c1(3872) → \pi^+\pi^- J/\psi(1S))] < 0.8 \times 10^{-6}$ which we divide by our best value $B(\chi_c1(3872) → \pi^+\pi^- J/\psi(1S)) = 3.5 \times 10^{-2}$.

$$ \Gamma(\gamma\chi_c1(3872), \chi_c1 → \pi^+\pi^- \pi^0 J/\psi)/\Gamma_{\text{total}} \quad \Gamma_{83}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;2.4 × 10<sup>-6</sup></td><td>90</td><td>WANG</td><td>11B</td><td>BELL</td><td>Γ(2S) → γX</td></tr></tbody></table>

$$ \Gamma(\gamma\chi_c0(3915) → \omega J/\psi)/\Gamma_{\text{total}} \quad \Gamma_{84}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;2.8 × 10<sup>-6</sup></td><td>90</td><td>WANG</td><td>11B</td><td>BELL</td><td>Γ(2S) → γX</td></tr></tbody></table>

$$ \Gamma(\gamma\chi_c1(4140) → \phi J/\psi)/\Gamma_{\text{total}} \quad \Gamma_{85}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.2 × 10<sup>-6</sup></td><td>90</td><td>WANG</td><td>11B</td><td>BELL</td><td>Γ(2S) → γX</td></tr></tbody></table>

$$ \Gamma(\gamma\chi(4350) → \phi J/\psi)/\Gamma_{\text{total}} \quad \Gamma_{86}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.3 × 10<sup>-6</sup></td><td>90</td><td>WANG</td><td>11B</td><td>BELL</td><td>Γ(2S) → γX</td></tr></tbody></table>

$$ \Gamma(\gamma\eta_b(1S))/\Gamma_{\text{total}} \quad \Gamma_{87}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

### 5.5 $^{+1.1}_{-0.9}$ OUR AVERAGE Error includes scale factor of 1.2.

<table><tbody><tr><td>6.1 $^{+0.6}_{-0.7}$</td><td>90</td><td>29k</td><td>FULSOM</td><td>18</td><td>BELL</td><td>Γ(2S) → γX</td></tr><tr><td>3.9 $^{+1.1}_{-0.9}$</td><td>90</td><td>13 ± 5k</td><td>1 AUBERT</td><td>09AQ</td><td>BABR</td><td>Γ(2S) → γX</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>&lt;21</td><td>90</td><td>LEES</td><td>11J</td><td>BABR</td><td>Γ(2S) → Xγ</td></tr><tr><td>&lt; 8.4</td><td>90</td><td>1 BONVICINI</td><td>10</td><td>CLEO</td><td>Γ(2S) → γX</td></tr><tr><td>&lt; 5.1</td><td>90</td><td>2 ARTUSO</td><td>05</td><td>CLEO</td><td>e<sup>+</sup>e<sup>-</sup> → γX</td></tr></tbody></table>

¹Assuming $\Gamma_{\eta_b(1S)} = 10$ MeV.

²Superseded by BONVICINI 10.

$$ \Gamma(\gamma\eta_b(1S) → \gamma \text{Sum of 26 exclusive modes})/\Gamma_{\text{total}} \quad \Gamma_{88}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;3.7 × 10<sup>-6</sup></td><td>90</td><td>SANDILYA</td><td>13</td><td>BELL</td><td>Γ(2S) → γ hadrons</td></tr></tbody></table>

$$ \Gamma(\gamma X_{b\bar{b}} → \gamma \text{Sum of 26 exclusive modes})/\Gamma_{\text{total}} \quad \Gamma_{89}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt; 4.9</td><td>90</td><td>SANDILYA</td><td>13</td><td>BELL</td><td>Γ(2S) → γ hadrons</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>46.2 $^{+29.7}_{-14.2}$</td><td>10</td><td>1 DOBBS</td><td>12</td><td>Γ(2S) → γ hadrons</td></tr></tbody></table>

¹Obtained by analyzing CLEO III data but not authored by the CLEO Collaboration.

$$ \Gamma(\gamma X → \gamma + \geq 4 \text{ prongs})/\Gamma_{\text{total}} \quad \Gamma_{90}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.95</td><td>95</td><td>ROSNER</td><td>07A</td><td>CLEO</td><td>e<sup>+</sup>e<sup>-</sup> → γX</td></tr></tbody></table>

$$ \Gamma(\gamma A^0 → \gamma \text{hadrons})/\Gamma_{\text{total}} \quad \Gamma_{91}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;8 × 10<sup>-5</sup></td><td>90</td><td>1 LEES</td><td>11H</td><td>BABR</td><td>Γ(2S) → γ hadrons</td></tr></tbody></table>

¹For a narrow scalar or pseudoscalar, $A^0$, excluding known resonances, with mass in the range 0.3–7 GeV. Measured 90% CL limits as a function of $m_{A^0}$ range from $1 \times 10^{-6}$ to $8 \times 10^{-5}$.

$$ \Gamma(\gamma A^0 → \gamma \mu^+ \mu^-)/\Gamma_{\text{total}} \quad \Gamma_{92}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;8.3</td><td>90</td><td>1 AUBERT</td><td>09Z</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → A<sup>0</sup> → γμ<sup>+</sup>μ<sup>-</sup></td></tr></tbody></table>

¹For a narrow scalar or pseudoscalar, $A^0$, with mass in the range 212–9300 MeV, excluding $J/\psi$ and $\psi(2S)$. Measured 90% CL limits as a function of $m_{A^0}$ range from 0.26–8.3 × 10<sup>-6</sup>.

### LEPTON FAMILY NUMBER (LF) VIOLATING MODES

$$ \Gamma(\epsilon^{\pm} \tau \mp)/\Gamma_{\text{total}} \quad \Gamma_{93}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;3.2</td><td>90</td><td>LEES</td><td>10B</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → e<sup>±</sup>τ<sup>+</sup></td></tr></tbody></table>

$$ \Gamma(\mu^{\pm} \tau \mp)/\Gamma_{\text{total}} \quad \Gamma_{94}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt; 3.3</td><td>90</td><td>LEES</td><td>10B</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → μ<sup>±</sup>τ<sup>+</sup></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>&lt;14.4</td><td>95</td><td>LOVE</td><td>08A</td><td>CLEO</td><td>e<sup>+</sup>e<sup>-</sup> → μ<sup>±</sup>τ<sup>+</sup></td></tr></tbody></table>

### T(2S) Cross-Particle Branching Ratios

$$ B(\Gamma(2S) → \pi^+\pi^-) \times B(\Gamma(3S) → \Gamma(2S)X) \quad \Gamma_{94}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.78 ± 0.02 ± 0.11</td><td>906k</td><td>LEES</td><td>11C</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → π<sup>+</sup>π<sup>-</sup>X</td></tr></tbody></table>

### T(2S) REFERENCES

GAO 23 PR D108 112015 (BELLE Collab.)

SHAMOV 23 PL B839 137766 (NOVO, NOVOU)

FULSOM 18 PR D121 232001 (BELLE Collab.)

JIA 18 PR D97 112004 (BELLE Collab.)

JIA 17 PR D95 012001 (BELLE Collab.)

JIA 17A PR D96 112002 (BELLE Collab.)

LEES 14G PR D89 111102 (BABAR Collab.)

YANG 14 PR D90 112008 (BELLE Collab.)

SANDILYA 13 PR D91 112001 (BELLE Collab.)

SHEN 13 PR D88 011102 (BELLE Collab.)

TAMPONI 13 PR D87 011104 (BELLE Collab.)

DOBBS 12 PR D109 082001 (BELLE Collab.)

DOBBS 12A PR D86 052003 (BABAR Collab.)

SHEN 12A PR D86 031102 (BABAR Collab.)

LEES 11C PR D84 011104 (BABAR Collab.)

LEES 11H PR D84 01172003 (BABAR Collab.)

LEES 11J PR D84 072002 (BABAR Collab.)

LEES 11L PR D84 092003 (BABAR Collab.)

WANG 11B PR D84 071107 (BABAR Collab.)

BONVICINI 10 PR D81 031104 (CLEO Collab.)

LEES 10B PR D104 151802 (BABAR Collab.)

AUBERT 09AQ PR L03 161801 (BABAR Collab.)

AUBERT 09Z PR L03 081803 (BABAR Collab.)

BHARI 09BP PR D79 011103 (CLEO Collab.)

AUBERT 09BP PR D78 112002 (BABAR Collab.)

HE 08A PR L01 192001 (CLEO Collab.)

LOVE 08A PR L01 201601 (CLEO Collab.)

PDG 08 PR B667 1 (PDG Collab.)

ASNER 07 PR D75 012009 (CLEO Collab.)

BESSON 07 PR L98 052002 (CLEO Collab.)

ROSNER 07A PR D76 117102 (CLEO Collab.)

BESSON 06A PR D74 012003 (CLEO Collab.)

ROSNER 06 PR L96 092003 (CLEO Collab.)

ADAMS 05 PR L94 012001 (CLEO Collab.)

ARTUSO 05 PR L84 032001 (CLEO Collab.)

ARTAMONOV 00 PR L847 427 (CLEO Collab.)

EDWARDS 99 PR D59 032003 (CLEO Collab.)

ALEXANDER 98 PR D58 052004 (CLEO Collab.)

BARU 96 PRPL 267 71 (NOVO)

KOBEL 92 ZPHY C53 193 (Crystal Ball Collab.)

MASCHMANN 90 ZPHY C46 555 (Crystal Ball Collab.)

ALBRECHT 89 ZPHY C42 349 (ARGUS Collab.)

KAARSBERG 89 PR L62 2077 (CUSB Collab.)

BAKMUELL... 88 HE e<sup>+</sup>e<sup>-</sup> Physics 412 W. Buchmuller, S. Cooper (HANN, DESY, MIT)

Editors: A. Ali and P. Soeding, World Scientific, Singapore

JAKUBOWSKI 88 ZPHY C40 49 Z. Jakubowski et al.

(Crystal Ball Collab.) IGJPC
<table><tbody><tr><td>ALBRECHT</td><td>87</td><td>ZPHY C35 283</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.)</td></tr><tr><td>COHEN</td><td>87</td><td>RMP 59 1121</td><td>E.R. Cohen, B.N. Taylor</td><td>(RSC, NBS)</td></tr><tr><td>LURZ</td><td>87</td><td>ZPHY C36 383</td><td>B. Lurz et al.</td><td>(Crystal Ball Collab.)</td></tr><tr><td>BARU</td><td>86B</td><td>ZPHY C32 622 (errat.)</td><td>S.E. Baru et al.</td><td>(NOVO)</td></tr><tr><td>ALBRECHT</td><td>85E</td><td>ZPHY C28 45</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.)</td></tr><tr><td>ALBRECHT</td><td>85E</td><td>PL 160B 331</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.)</td></tr><tr><td>GELPHMAN</td><td>85</td><td>PR D32 2893</td><td>D. Gelfphman et al.</td><td>(Crystal Ball Collab.)</td></tr><tr><td>KURAEV</td><td>85</td><td>SJNP 41 466</td><td>E.A. Kuraev, V.S. Fadin<br>Translated from YAF 41 733.</td><td>(NOVO)</td></tr><tr><td>ERNST</td><td>85</td><td>PRL 54 2195</td><td>R.ERNST et al.</td><td>(Crystal Ball Collab.)</td></tr><tr><td>ARTAMONOV</td><td>84</td><td>PL 137B 272</td><td>A.S. Artamonov et al.</td><td>(NOVO)</td></tr><tr><td>BARBER</td><td>84</td><td>PL 135B 498</td><td>D.P. Barber et al.</td><td></td></tr><tr><td>BESSON</td><td>84</td><td>PR D30 1433</td><td>D. Besson et al.</td><td>(CLEO Collab.)</td></tr><tr><td>FONSECA</td><td>84</td><td>NP B242 31</td><td>V. Fonseca et al.</td><td>(CUSB Collab.)</td></tr><tr><td>GILES</td><td>84B</td><td>PR D29 1285</td><td>R. Giles et al.</td><td>(CLEO Collab.)</td></tr><tr><td>HAAS</td><td>84</td><td>PRL 52 799</td><td>J. Haas et al.</td><td>(CLEO Collab.)</td></tr><tr><td>HAAS</td><td>84B</td><td>PR D30 1996</td><td>J. Haas et al.</td><td>(CLEO Collab.)</td></tr><tr><td>KLOPFEN...</td><td>83</td><td>PRL 51 160</td><td>C. Klopfenstein et al.</td><td>(CUSB Collab.)</td></tr><tr><td>ALBRECHT</td><td>82</td><td>PL 116B 383</td><td>H. Albrecht et al.</td><td>(DESY, DORT, HEIDH+)</td></tr><tr><td>NICZYPORUK</td><td>81B</td><td>PL 100B 95</td><td>B. Niczyporuk et al.</td><td>(LENA Collab.)</td></tr><tr><td>NICZYPORUK</td><td>81C</td><td>PL 99B 169</td><td>B. Niczyporuk et al.</td><td>(LENA Collab.)</td></tr><tr><td>BOCK</td><td>80</td><td>ZPHY C6 125</td><td>B. Pock et al.</td><td>(HEIDP, MPIM, DESY, HAMB)</td></tr></tbody></table>

$\Upsilon(2D)$

was $\Upsilon(1D)$

First observed by BONVICINI 04 in the decay to $\gamma\gamma\Upsilon(1S)$ and confirmed by DEL-AMO-SANCHEZ 10R in the decay to $\pi^+\pi^-\Upsilon(1S)$. Data consistent with $J^P = 2^-$. The states with $J = 1$ and 3 also possibly seen, but need confirmation.

$\Upsilon(1D)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>10163.7±1.4</strong> OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>10164.5±0.8±0.5</td><td></td><td colspan="3">Error includes scale factor of 1.7.</td></tr><tr><td>10161.1±0.6±1.6</td><td>38</td><td colspan="3">DEL-AMO-SA...10R BABR $\Upsilon(3S) \rightarrow \gamma\gamma\pi^+\pi^-\ell^+\ell^-$<br>BONVICINI 04 CLE3 $\Upsilon(3S) \rightarrow 4\gamma\ell^+\ell^-$</td></tr></tbody></table>

$\Upsilon(1D)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction ($\Gamma_f/\Gamma$)</th></tr></thead><tbody><tr><td>$\Gamma_1$ &nbsp;&nbsp;&nbsp;&nbsp; $\gamma\gamma\Upsilon(1S)$</td><td>seen</td></tr><tr><td>$\Gamma_2$ &nbsp;&nbsp;&nbsp;&nbsp; $\gamma\chi_{bJ}(1P)$</td><td>seen</td></tr><tr><td>$\Gamma_3$ &nbsp;&nbsp;&nbsp;&nbsp; $\eta\Upsilon(1S)$</td><td>not seen</td></tr><tr><td>$\Gamma_4$ &nbsp;&nbsp;&nbsp;&nbsp; $\pi^+\pi^-\Upsilon(1S)$</td><td>(6.6±1.6) × 10<sup>-3</sup></td></tr></tbody></table>

$\Upsilon(1D)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(ητ(1S))/Γ(γγτ(1S))</th><th>Γ<sub>3</sub>/Γ<sub>1</sub></th></tr></thead><tbody><tr><td>VALUE CL%</td><td>90</td></tr></tbody></table>

<table><thead><tr><th>Γ(π<sup>+</sup>π<sup>-</sup>τ(1S))/Γ<sub>total</sub></th><th>Γ<sub>4</sub>/Γ</th></tr></thead><tbody><tr><td>VALUE (units 10<sup>-2</sup>)</td><td></td></tr><tr><td><strong>0.66<sup>+0.15</sup><sub>-0.14</sub>±0.06</strong></td><td>1 DEL-AMO-SA...10R BABR $\Upsilon(3S) \rightarrow \gamma\gamma\pi^+\pi^-\ell^+\ell^-$</td></tr></tbody></table>

¹ Using theoretical predictions for $B(\chi_{bJ}(2P) \rightarrow \gamma\Upsilon(2D))$.

<table><thead><tr><th>Γ(π<sup>+</sup>π<sup>-</sup>τ(1S))/Γ(γγτ(1S))</th><th>Γ<sub>4</sub>/Γ<sub>1</sub></th></tr></thead><tbody><tr><td>VALUE CL%</td><td>90</td></tr></tbody></table>

² Assuming $J = 2$.

$\Upsilon(1D)$ REFERENCES

<table><tbody><tr><td>DEL-AMO-SA...10R</td><td>PR D82 111102</td><td>P. del Amo Sanchez et al.</td><td>(BABAR Collab.)</td></tr><tr><td>BONVICINI 04</td><td>PR D70 032001</td><td>G. Bonvicini et al.</td><td>(CLEO Collab.)</td></tr></tbody></table>

$\chi_{b0}(2P)$

$I^G(J^{PC}) = 0^{+}(0^{++})$

J needs confirmation.

Observed in radiative decay of the $\Upsilon(3S)$, therefore $C = +$. Branching ratio requires E1 transition, M1 is strongly disfavored, therefore $P = +$.

$\chi_{b0}(2P)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>10232.5±0.4±0.5</strong> OUR EVALUATION</td><td colspan="3">From γ energy below, using $\Upsilon(3S)$ mass = 10355.2 ± 0.5 MeV</td></tr></tbody></table>

<table><thead><tr><th><em>m</em><sub>χb0(2P)</sub> − <em>m</em><sub>χb0(2P)</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>23.8±1.7</strong></td><td>LEES</td><td>14M</td><td>BABR $\Upsilon(3S) \rightarrow \gamma\gamma\mu^+\mu^-$</td></tr></tbody></table>

$\gamma$ ENERGY IN $\Upsilon(3S)$ DECAY

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>121.9 ±0.4</strong> OUR EVALUATION</td><td></td><td></td><td></td><td>Treating systematic errors as correlated</td></tr><tr><td><strong>122.2 ±0.5</strong> OUR AVERAGE</td><td></td><td></td><td></td><td>Error includes scale factor of 1.4. See the ideogram below.</td></tr><tr><td>121.55±0.16±0.46</td><td></td><td>ARTUSO</td><td>05</td><td>CLEO $\Upsilon(3S) \rightarrow \gamma X$</td></tr><tr><td>123.0 ±0.8</td><td>4959</td><td><sup>1</sup> HEINTZ</td><td>92</td><td>CSB2 $e^+e^- \rightarrow \gamma X$</td></tr><tr><td>124.6 ±1.4</td><td>17</td><td><sup>2</sup> HEINTZ</td><td>92</td><td>CSB2 $e^+e^- \rightarrow \ell^+\ell^-\gamma\gamma$</td></tr><tr><td>122.3 ±0.3 ±0.6</td><td>9903</td><td>MORRISON</td><td>91</td><td>CLE2 $e^+e^- \rightarrow \gamma X$</td></tr></tbody></table>

¹ A systematic uncertainty on the energy scale of 0.9% not included. Supersedes NARAIN 91.

² A systematic uncertainty on the energy scale of 0.9% not included. Supersedes HEINTZ 91.

WEIGHTED AVERAGE
122.2±0.5 (Error scaled by 1.4)

<figure><img src="image_700.png" /></figure>

$\chi_{b0}(2P)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction ($\Gamma_f/\Gamma$)</th><th>Confidence level</th></tr></thead><tbody><tr><td>$\Gamma_1$ &nbsp;&nbsp;&nbsp;&nbsp; $\gamma\Upsilon(2S)$</td><td>(1.38±0.30) %</td><td></td></tr><tr><td>$\Gamma_2$ &nbsp;&nbsp;&nbsp;&nbsp; $\gamma\Upsilon(1S)$</td><td>(3.8 ±1.7) × 10<sup>-3</sup></td><td></td></tr><tr><td>$\Gamma_3$ &nbsp;&nbsp;&nbsp;&nbsp; $D^0X$</td><td>&lt; 8.2 %</td><td>90%</td></tr><tr><td>$\Gamma_4$ &nbsp;&nbsp;&nbsp;&nbsp; $\pi^+\pi^-K^+K^-\pi^0$</td><td>&lt; 3.4 × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>$\Gamma_5$ &nbsp;&nbsp;&nbsp;&nbsp; $2\pi^+\pi^-K^-K^0S$</td><td>&lt; 5 × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>$\Gamma_6$ &nbsp;&nbsp;&nbsp;&nbsp; $2\pi^+\pi^-K^-K^0S^2\pi^0$</td><td>&lt; 2.2 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>$\Gamma_7$ &nbsp;&nbsp;&nbsp;&nbsp; $2\pi^+2\pi^-2\pi^0$</td><td>&lt; 2.4 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>$\Gamma_8$ &nbsp;&nbsp;&nbsp;&nbsp; $2\pi^+2\pi^+K^+K^-$</td><td>&lt; 1.5 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>$\Gamma_9$ &nbsp;&nbsp;&nbsp;&nbsp; $2\pi^+2\pi^-K^-K^-\pi^0$</td><td>&lt; 2.2 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>$\Gamma_{10}$ &nbsp;&nbsp;&nbsp;&nbsp; $2\pi^+2\pi^-K^+K^-2\pi^0$</td><td>&lt; 1.1 × 10<sup>-3</sup></td><td>90%</td></tr><tr><td>$\Gamma_{11}$ &nbsp;&nbsp;&nbsp;&nbsp; $3\pi^+2\pi^-K^-K^0S^\pi^0$</td><td>&lt; 7 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>$\Gamma_{12}$ &nbsp;&nbsp;&nbsp;&nbsp; $3\pi^+3\pi^-$</td><td>&lt; 7 × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>$\Gamma_{13}$ &nbsp;&nbsp;&nbsp;&nbsp; $3\pi^+3\pi^+2\pi^0$</td><td>&lt; 1.2 × 10<sup>-3</sup></td><td>90%</td></tr><tr><td>$\Gamma_{14}$ &nbsp;&nbsp;&nbsp;&nbsp; $3\pi^+3\pi^+K^+K^-$</td><td>&lt; 1.5 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>$\Gamma_{15}$ &nbsp;&nbsp;&nbsp;&nbsp; $3\pi^+3\pi^-K^-K^-\pi^0$</td><td>&lt; 7 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>$\Gamma_{16}$ &nbsp;&nbsp;&nbsp;&nbsp; $4\pi^+4\pi^-$</td><td>&lt; 1.7 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>$\Gamma_{17}$ &nbsp;&nbsp;&nbsp;&nbsp; $4\pi^+4\pi^-2\pi^0$</td><td>&lt; 6 × 10<sup>-4</sup></td><td>90%</td></tr></tbody></table>

$\chi_{b0}(2P)$ BRANCHING RATIOS

<table><thead><tr><th>VALUE (%)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.38±0.30</strong> OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr></tbody></table>

<table><tbody><tr><td>1.31±0.27<sup>+0.13</sup><sub>-0.12</sub></td><td>3,4 LEES</td><td>14M</td><td>BABR $\Upsilon(3S) \rightarrow \gamma\gamma\mu^+\mu^-$</td></tr><tr><td>3.6 ±1.6 ±0.3</td><td>3,5 HEINTZ</td><td>92</td><td>CSB2 $e^+e^- \rightarrow \ell^+\ell^-\gamma\gamma$</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>&lt;2.8</td><td>90</td><td>6 LEES</td><td>11J</td><td>BABR $\Upsilon(3S) \rightarrow X\gamma$</td></tr><tr><td>&lt;8.9</td><td>90</td><td>7 CRAWFORD</td><td>92B</td><td>CLE2 $e^+e^- \rightarrow \ell^+\ell^-\gamma\gamma$</td></tr></tbody></table>

³ Assuming $B(\Upsilon(2S) \rightarrow \mu^+\mu^-) = (1.93 \pm 0.17)\%$.

⁴ LEES 14M reports $[\Gamma(\chi_{b0}(2P) \rightarrow \gamma\Upsilon(2S))/\Gamma_{total}] \times [B(\Upsilon(3S) \rightarrow \gamma\chi_{b0}(2P))] = (7.7 \pm 1.6) \times 10^{-4}$ which we divide by our best value $B(\Upsilon(3S) \rightarrow \gamma\chi_{b0}(2P)) = (5.9 \pm 0.6) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

⁵ Recalculated by us. HEINTZ 92 quotes $B(\Upsilon(3S) \rightarrow \gamma\chi_{b0}(2P)) \times B(\chi_{b0}(2P) \rightarrow \gamma\Upsilon(2S)) = (0.28 \pm 0.12 \pm 0.03)\%$ using $B(\Upsilon(2S) \rightarrow \mu^+\mu^-) = (1.44 \pm 0.10)\%$. Supersedes HEINTZ 91.

⁶ LEES 11J quotes a central value of $\Gamma(\chi_{b0}(2P) \rightarrow \gamma\Upsilon(2S))/\Gamma_{total} \times \Gamma(\Upsilon(3S) \rightarrow \gamma\chi_{b0}(2P))/\Gamma_{total} = (-0.3 \pm 0.2^{+0.5}_{-0.4})\%$.

⁷ Using $B(\Upsilon(2S) \rightarrow \mu^+\mu^-) = (1.37 \pm 0.26)\%$, $B(\Upsilon(3S) \rightarrow \gamma\gamma\Upsilon(2S)) \times 2B(\Upsilon(2S) \rightarrow \mu^+\mu^-) < 1.19 \times 10^{-4}$, and $B(\Upsilon(3S) \rightarrow \chi_{b0}(2P)\gamma) = 0.049$.
$$
\begin{array}{l}
\Gamma(\gamma\Gamma(1S))/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

0.38±0.17 OUR AVERAGE

<table>
  <tr>
    <td>0.36±0.17±0.03</td>
    <td>8,9,10 LEES</td>
    <td>14M</td>
    <td>BABR</td>
    <td>Γ(3S) → γγμ<sup>+</sup>μ<sup>-</sup></td>
  </tr>
  <tr>
    <td>0.9 ±0.7 ±0.1</td>
    <td>9,11 HEINTZ</td>
    <td>92</td>
    <td>CSB2</td>
    <td>e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>γγ</td>
  </tr>
</table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table>
  <tr>
    <td>&lt;1.2</td>
    <td>90</td>
    <td>12 LEES</td>
    <td>11J</td>
    <td>BABR</td>
    <td>Γ(3S) → Xγ</td>
  </tr>
  <tr>
    <td>&lt;2.5</td>
    <td>90</td>
    <td>13 CRAWFORD</td>
    <td>92B</td>
    <td>CLE2</td>
    <td>e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>γγ</td>
  </tr>
</table>

⁸LEES 14M quotes Γ(χ₀b₀(2P) → γΓ(1S))/Γ<sub>total</sub> × Γ(Γ(3S) → γχ₀b₀(2P))/Γ<sub>total</sub> = (2.1 ± 1.0) × 10⁻⁴ combining the results from Γ(3S) → γγμ⁺μ⁻ samples with and without photon conversions.

⁹Assuming B(Γ(1S) → μ⁺μ⁻) = (2.48 ± 0.05)%.

¹⁰LEES 14M reports [Γ(χ₀b₀(2P) → γΓ(1S))/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] = (2.1 ± 1.0) × 10⁻⁴ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = (5.9 ± 0.6) × 10⁻². Our first error is their experiment's error and our second error is the systematic error from using our best value.

¹¹Recalculated by us. HEINTZ 92 quotes B(Γ(3S) → γχ₀b₀(2P)) × B(χ₀b₀(2P) → γΓ(1S)) = (0.05 ± 0.04 ± 0.01)% using B(Γ(1S) → μ⁺μ⁻) = (2.57 ± 0.05)%.
Supersedes HEINTZ 91.

¹²LEES 11J quotes a central value of Γ(χ₀b₀(2P) → γΓ(1S))/Γ<sub>total</sub> × Γ(Γ(3S) → γχ₀b₀(2P))/Γ<sub>total</sub> = (3.9 ± 2.2<sup>+1.2</sup><sub>-0.6</sub>) × 10⁻⁴.

¹³Using B(Γ(1S) → μ⁺μ⁻) = (2.57 ± 0.07)%, B(Γ(3S) → γγΓ(1S))×2 B(Γ(1S) → μ⁺μ⁻) < 0.63 × 10⁻⁴, and B(Γ(3S) → χ₀b₀(2P)γ) = 0.049.

$$
\begin{array}{l}
\Gamma(D^0 X)/\Gamma_{\text{total}} \\
\text{VALUE} \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;8.2 × 10<sup>-2</sup></td>
    <td>90</td>
    <td>14,15</td>
    <td>BRIERE</td>
    <td>08</td>
    <td>CLEO</td>
    <td>Γ(3S) → γD<sup>0</sup>X</td>
  </tr>
</table>

¹⁴For $p_{D0} > 2.5$ GeV/c.

¹⁵The authors also present their result as (4.1 ± 3.0 ± 0.4) × 10⁻².

$$
\begin{array}{l}
\Gamma(\pi^{+} \pi^{-} K^{+} K^{-} \pi^{0})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;0.34</td>
    <td>90</td>
    <td>16</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γπ<sup>+</sup>π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td>
  </tr>
</table>

¹⁶ASNER 08A reports [Γ(χ₀b₀(2P) → π⁺π⁻K⁺K⁻π⁰)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 2 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(2\pi^{+} \pi^{-} K^{-} K^{0}_{S})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;0.5</td>
    <td>90</td>
    <td>17</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ2π<sup>+</sup>π<sup>-</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub></td>
  </tr>
</table>

¹⁷ASNER 08A reports [Γ(χ₀b₀(2P) → 2π⁺π⁻K⁻K⁰S)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 3 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(2\pi^{+} \pi^{-} K^{-} K^{0}_{S} 2\pi^{0})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;2.2</td>
    <td>90</td>
    <td>18</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ2π<sup>+</sup>π<sup>-</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub></td>
  </tr>
</table>

¹⁸ASNER 08A reports [Γ(χ₀b₀(2P) → 2π⁺π⁻K⁻K⁰S 2π⁰)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 13 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(2\pi^{+} 2\pi^{-} 2\pi^{0})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;2.4</td>
    <td>90</td>
    <td>19</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ2π<sup>+</sup>π<sup>-</sup> 2π<sup>-</sup>π<sup>0</sup></td>
  </tr>
</table>

¹⁹ASNER 08A reports [Γ(χ₀b₀(2P) → 2π⁺2π⁻2π⁰)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 14 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(2\pi^{+} 2\pi^{-} K^{+} K^{-})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;1.5</td>
    <td>90</td>
    <td>20</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ2π<sup>+</sup>2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td>
  </tr>
</table>

²⁰ASNER 08A reports [Γ(χ₀b₀(2P) → 2π⁺2π⁻K⁻K⁻)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 9 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(2\pi^{+} 2\pi^{-} K^{-} K^{0})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;2.2</td>
    <td>90</td>
    <td>21</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ2π<sup>+</sup>2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td>
  </tr>
</table>

²¹ASNER 08A reports [Γ(χ₀b₀(2P) → 2π⁺2π⁻K⁻K⁻π⁰)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 13 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(2\pi^{+} 2\pi^{-} K^{+} K^{-} 2\pi^{0})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;1.1</td>
    <td>90</td>
    <td>22</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ2π<sup>+</sup>2π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> 2π<sup>0</sup></td>
  </tr>
</table>

²²ASNER 08A reports [Γ(χ₀b₀(2P) → 2π⁺2π⁻K⁻K⁻π⁰)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 63 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(3\pi^{+} 2\pi^{-} K^{-} K^{0}_{S} \pi^{0})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;7</td>
    <td>90</td>
    <td>23</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ3π<sup>+</sup>2π<sup>-</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub> π<sup>0</sup></td>
  </tr>
</table>

²³ASNER 08A reports [Γ(χ₀b₀(2P) → 3π⁺2π⁻K⁻K⁰S/π⁰)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 39 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(3\pi^{+} 3\pi^{-})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;0.7</td>
    <td>90</td>
    <td>24</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ3π<sup>+</sup>3π<sup>-</sup></td>
  </tr>
</table>

²⁴ASNER 08A reports [Γ(χ₀b₀(2P) → 3π⁺3π⁻)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 4 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(3\pi^{+} 3\pi^{-} 2\pi^{0})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;12</td>
    <td>90</td>
    <td>25</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ3π<sup>+</sup>3π<sup>-</sup> 2π<sup>0</sup></td>
  </tr>
</table>

²⁵ASNER 08A reports [Γ(χ₀b₀(2P) → 3π⁺3π⁻2π⁰)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 72 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(3\pi^{+} 3\pi^{-} K^{+} K^{-})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;1.5</td>
    <td>90</td>
    <td>26</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ3π<sup>+</sup>3π<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td>
  </tr>
</table>

²⁶ASNER 08A reports [Γ(χ₀b₀(2P) → 3π⁺3π⁻K⁺K⁻)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 9 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(3\pi^{+} 3\pi^{-} K^{+} K^{-} \pi^{0})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;7</td>
    <td>90</td>
    <td>27</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ3π<sup>+</sup>3π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td>
  </tr>
</table>

²⁷ASNER 08A reports [Γ(χ₀b₀(2P) → 3π⁺3π⁻K⁺K⁻)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 43 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(4\pi^{+} 4\pi^{-})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;1.7</td>
    <td>90</td>
    <td>28</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ4π<sup>+</sup>4π<sup>-</sup></td>
  </tr>
</table>

²⁸ASNER 08A reports [Γ(χ₀b₀(2P) → 4π⁺4π⁻)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 10 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(4\pi^{+} 4\pi^{-} 2\pi^{0})/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;6</td>
    <td>90</td>
    <td>29</td>
    <td>ASNER</td>
    <td>08A</td>
    <td>CLEO</td>
    <td>Γ(3S) → γ4π<sup>+</sup>4π<sup>-</sup> 2π<sup>0</sup></td>
  </tr>
</table>

²⁹ASNER 08A reports [Γ(χ₀b₀(2P) → 4π⁺4π⁻2π⁰)/Γ<sub>total</sub>] × [B(Γ(3S) → γχ₀b₀(2P))] < 38 × 10⁻⁶ which we divide by our best value B(Γ(3S) → γχ₀b₀(2P)) = 5.9 × 10⁻².

$$
\begin{array}{l}
\Gamma(\chi_{b0}(2P) \rightarrow \gamma \Gamma(1S))/\Gamma_{\text{total}} \times \Gamma(\bar{\gamma} \chi_{b0}(2P))/\Gamma_{\text{total}} \\
\Gamma_{2/\Gamma} \times \Gamma(\bar{\gamma} \chi_{22})/\Gamma(\bar{\gamma} \chi_{22})
\end{array}
$$

<table>
  <tr>
    <td>&lt;8.2</td>
    <td>90</td>
    <td>30</td>
    <td>LEES</td>
    <td>11J</td>
    <td>BABR</td>
    <td>Γ(3S) → Xγ</td>
  </tr>
</table>

³⁰LEES 11J quotes a central value of Γ(χ₀b₀(2P) → γΓ(1S))/Γ<sub>total</sub> × Γ(Γ(3S) → γχ₀b₀(2P))/Γ<sub>total</sub> = (3.9 ± 2.2<sup>+1.2</sup><sub>-0.6</sub>) × 10⁻⁴ and derives a 90% CL upper limit of B(χ₀b₀(2P) → γΓ(1S)) < 1.2% using B(Γ(3S) → γχ₀b₀(2P)) = (5.9 ± 0.6)%.

$$
\begin{array}{l}
\Gamma(\chi_{b0}(2P) \rightarrow \gamma \Gamma(1S)) \times \Gamma(\bar{\gamma} \chi_{b0}(2P)) \times \Gamma(\bar{\gamma} \chi_{b0}(2P)) \\
\text{VALUE (units } 10^{-4}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;1.4±0.9 OUR AVERAGE</td>
    <td>31</td>
    <td>LEES</td>
    <td>14M</td>
    <td>BABR</td>
    <td>Γ(3S) → γγμ<sup>+</sup>μ<sup>-</sup></td>
  </tr>
  <tr>
    <td>1.7<sup>+1.5</sup><sub>-1.4</sub></td>
    <td>32</td>
    <td>HEINTZ</td>
    <td>92</td>
    <td>CSB2</td>
    <td>Γ(3S) → γγℓ<sup>+</sup>ℓ<sup>-</sup></td>
  </tr>
</table>

³¹From a sample of $\bar{\gamma}\gamma$ → γγμ⁺μ⁻ with one converted photon.

³²Calculated by us. HEINTZ 92 quotes B(Γ(3S) → γχ₀b₀(2P)) × B(χ₀b₀(2P) → γΓ(1S)) = (0.05 ± 0.04 ± 0.01)% using B(Γ(1S) → μ⁺μ⁻) = (2.57 ± 0.05)%.

$$
\begin{array}{l}
[\text{B}(\chi_{b0}(2P) \rightarrow \gamma \Gamma(1S)) \times B(\bar{\gamma} \chi_{b0}(2P))] / [\text{B}(\chi_{b1}(2P) \rightarrow \gamma \Gamma(1S)) \times B(\bar{\gamma} \chi_{b1}(2P))] \\
\text{VALUE (units } 10^{-5}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;1.71 ± 0.80</td>
    <td>90</td>
    <td>33</td>
    <td>LEES</td>
    <td>14M</td>
    <td>BABR</td>
    <td>Γ(3S) → γγμ<sup>+</sup>μ<sup>-</sup></td>
  </tr>
</table>

³³From a sample of $\bar{\gamma}\gamma$ → γγμ⁺μ⁻ without converted photons.

$$
\begin{array}{l}
\Gamma(\chi_{b0}(2P) \rightarrow \gamma \Gamma(2S))/\Gamma_{\text{total}} \times \Gamma(\bar{\gamma} \chi_{b0}(2P))/\Gamma_{\text{total}} \\
\text{VALUE (units } 10^{-3}) \quad \text{CL}\% \\
\text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT}
\end{array}
$$

<table>
  <tr>
    <td>&lt;1.6</td>
    <td>90</td>
    <td>34</td>
    <td>LEES</td>
    <td>11J</td>
    <td>BABR</td>
    <td>Γ(3S) → Xγ</td>
  </tr>
</table>

³⁴LEES 11J quotes a central value of Γ(χ₀b₀(2P) → γΓ(2S))/Γ<sub>total</sub> × Γ(Γ(3S) → γχ₀b₀(2P))/Γ<sub>total</sub> = (-0.3 ± 0.2<sup>+0.5</sup><sub>-0.4</sub>)% and derives a 90% CL upper limit of B(χ₀b₀(2P) → γΓ(2S)) < 2.8% using B(Γ(3S) → γχ₀b₀(2P)) = (5.9 ± 0.6)%.
$$B(\chi_{b0}(2P) \rightarrow \gamma \, \mathcal{T}(2S)) \times B(\mathcal{T}(3S) \rightarrow \gamma \, \chi_{b0}(2P)) \times B(\mathcal{T}(2S) \rightarrow \ell^{+} \, \ell^{-})$$

<table><thead><tr><th>VALUE (units 10<sup>-5</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

### 4.4±1.6 OUR AVERAGE

$$6.6^{+4.9}_{-4.0} \pm 2.0 \\ 4.0 \pm 1.7 \pm 0.3$$

$$35 \text{ LEES}$$

$$14 \text{M} \text{ BABR}$$

$$\mathcal{T}(3S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$$

$$36 \text{ HEINTZ}$$

$$92 \text{ CSB2}$$

$$\mathcal{T}(3S) \rightarrow \gamma\gamma\ell^{+}\ell^{-}$$

³⁵ From a sample of $\mathcal{T}(3S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$ with one converted photon.

³⁶ Calculated by us. HEINTZ 92 quotes B($\mathcal{T}(3S) \rightarrow \gamma\chi_{b0}(2P)$) $\times$ B($\chi_{b0}(2P) \rightarrow \gamma\mathcal{T}(2S)$) = $(0.28 \pm 0.12 \pm 0.03\%)$ using B($\mathcal{T}(2S) \rightarrow \mu^{+}\mu^{-}$) = $(1.44 \pm 0.10\%)$.

$$[B(\chi_{b0}(2P) \rightarrow \gamma \, \mathcal{T}(2S)) \times B(\mathcal{T}(3S) \rightarrow \gamma \, \chi_{b0}(2P))] / [B(\chi_{b1}(2P) \rightarrow \gamma \, \mathcal{T}(2S)) \times B(\mathcal{T}(3S) \rightarrow \gamma \, \chi_{b1}(2P))]$$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

$$3.31 \pm 0.56$$

$$37 \text{ LEES}$$

$$14 \text{M} \text{ BABR}$$

$$\mathcal{T}(3S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$$

³⁷ From a sample of $\mathcal{T}(3S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$ without converted photons.

### $\chi_{b0}(2P)$ REFERENCES

<table><tr><td>LEES</td><td>14M</td><td>PR D90 112010</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>LEES</td><td>11J</td><td>PR D84 072002</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ASNER</td><td>08A</td><td>PR D78 091103</td><td>D.M. Asner et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BRIERE</td><td>08</td><td>PR D78 092007</td><td>R.A. Briere et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ARTUSO</td><td>05</td><td>PRL 94 032001</td><td>M. Artuso et al.</td><td>(CLEO Collab.)</td></tr><tr><td>CRAWFORD</td><td>92B</td><td>PL B294 139</td><td>G. Crawford et al.</td><td>(CLEO Collab.)</td></tr><tr><td>HEINTZ</td><td>92</td><td>PR D46 1928</td><td>U. Heintz et al.</td><td>(CUSB II Collab.)</td></tr><tr><td>HEINTZ</td><td>91</td><td>PRL 66 1563</td><td>U. Heintz et al.</td><td>(CUSB Collab.)</td></tr><tr><td>MORRISON</td><td>91</td><td>PRL 67 1696</td><td>R.J. Morrison et al.</td><td>(CLEO Collab.)</td></tr><tr><td>NARAIN</td><td>91</td><td>PRL 66 3113</td><td>M. Narain et al.</td><td>(CUSB Collab.)</td></tr></table>

$$\chi_{b1}(2P)$$

$$I^G(J^PC) = 0^{+}(1^{++})$$

J needs confirmation.

Observed in radiative decay of the $\mathcal{T}(3S)$, therefore $C = +$. Branching ratio requires E1 transition, M1 is strongly disfavored, therefore $P = +$.

### $\chi_{b1}(2P)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>DOCUMENT ID</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>10255.46 ± 0.22 ± 0.50</td><td>OUR EVALUATION</td><td>10255.46 ± 0.22 ± 0.50 OUR EVALUATION</td><td>10255.46 ± 0.22 ± 0.50 OUR EVALUATION</td><td>From $\gamma$ energy below, using $\mathcal{T}(3S)$ mass = 10355.2 ± 0.5 MeV</td></tr></tbody></table>

$$m_{\chi_{b1}(2P)} - m_{\chi_{b0}(2P)}$$

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>23.5 ± 0.7 ± 0.7</td><td>1 HEINTZ</td><td>92</td><td>CSB2</td></tr></tbody></table>

¹ From the average photon energy for inclusive and exclusive events. Supersedes NARAIN 91.

### $\gamma$ ENERGY IN $\mathcal{T}(3S)$ DECAY

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

#### 99.26 ± 0.22 OUR EVALUATION

Treating systematic errors as correlated

#### 99.53 ± 0.23 OUR AVERAGE

Error includes factor of 1.3. See the ideogram below.

<table><tr><td>99.15 ± 0.07 ± 0.25</td><td>ARTUSO</td><td>05</td><td>CLEO</td><td>$\mathcal{T}(3S) \rightarrow \gamma X$</td></tr><tr><td>99 ± 1</td><td>CRAWFORD</td><td>92B</td><td>CLE2</td><td>$e^{+}e^{-} \rightarrow \ell^{+}\ell^{-}\gamma\gamma$</td></tr><tr><td>100.1 ± 0.4</td><td>11147</td><td>1 HEINTZ</td><td>92</td><td>CSB2</td><td>$e^{+}e^{-} \rightarrow \gamma X$</td></tr><tr><td>100.2 ± 0.5</td><td>223</td><td>3 HEINTZ</td><td>92</td><td>CSB2</td><td>$e^{+}e^{-} \rightarrow \ell^{+}\ell^{-}\gamma\gamma$</td></tr><tr><td>99.5 ± 0.1 ± 0.5</td><td>25759</td><td>MORRISON</td><td>91</td><td>CLE2</td><td>$e^{+}e^{-} \rightarrow \gamma X$</td></tr></table>

² A systematic uncertainty on the energy scale of 0.9% not included. Supersedes NARAIN 91.

³ A systematic uncertainty on the energy scale of 0.9% not included. Supersedes HEINTZ 91.

<figure><img src="image_701.png" /><figcaption>WEIGHTED AVERAGE
99.53±0.23 (Error scaled by 1.3)</figcaption></figure>

### $\chi_{b1}(2P)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction ($\Gamma_f/\Gamma$)</th></tr></thead><tbody><tr><td>$\Gamma_1$</td><td>(1.63<sup>+0.40</sup><sub>-0.34</sub> %)</td></tr><tr><td>$\Gamma_2$</td><td>(18.1 ± 1.9) %</td></tr><tr><td>$\Gamma_3$</td><td>(9.9 ± 1.0) %</td></tr><tr><td>$\Gamma_4$</td><td>(9.1 ± 1.3) × 10<sup>-3</sup></td></tr><tr><td>$\Gamma_5$</td><td>(8.8 ± 1.7) %</td></tr><tr><td>$\Gamma_6$</td><td>(3.1 ± 1.0) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_7$</td><td>(1.1 ± 0.5) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_8$</td><td>(7.7 ± 3.2) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_9$</td><td>(5.9 ± 2.0) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_{10}$</td><td>(10 ± 4) × 10<sup>-5</sup></td></tr><tr><td>$\Gamma_{11}$</td><td>(5.5 ± 1.8) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_{12}$</td><td>(10 ± 4) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_{13}$</td><td>(6.7 ± 2.6) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_{14}$</td><td>(1.2 ± 0.4) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_{15}$</td><td>(1.2 ± 0.4) × 10<sup>-3</sup></td></tr><tr><td>$\Gamma_{16}$</td><td>(2.0 ± 0.8) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_{17}$</td><td>(6.1 ± 2.2) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_{18}$</td><td>(1.7 ± 0.6) × 10<sup>-4</sup></td></tr><tr><td>$\Gamma_{19}$</td><td>(1.9 ± 0.7) × 10<sup>-3</sup></td></tr></tbody></table>

### $\chi_{b1}(2P)$ BRANCHING RATIOS

$$\Gamma(\gamma \, \mathcal{T}(1S))/\Gamma_{\text{total}} \qquad \Gamma_1/\Gamma$$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

$$1.63^{+0.35}_{-0.31} \pm 0.16$$

⁴ Using $B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P)) = (11.3 \pm 0.6)\%$ and $B(\mathcal{T}(1S) \rightarrow \ell^{+}\ell^{-}) = 2$ $B(\mathcal{T}(1S) \rightarrow \mu^{+}\mu^{-}) = 2 (2.48 \pm 0.06)\%$.

$$\Gamma(\gamma \, \mathcal{T}(2S))/\Gamma_{\text{total}} \qquad \Gamma_2/\Gamma$$

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

<table><thead><tr><th>0.181 ± 0.019 OUR AVERAGE</th><th>5.6,7 LEES</th><th>14M</th><th>BABR</th><th>$\mathcal{T}(3S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$</th></tr></thead><tbody><tr><td>0.211 ± 0.017 ± 0.019</td><td>8 LEES</td><td>11J</td><td>BABR</td><td>$\mathcal{T}(3S) \rightarrow X\gamma$</td></tr><tr><td>0.190 ± 0.018 ± 0.017</td><td>4.3k</td><td>5.9 CRAWFORD</td><td>92B</td><td>CLE2</td><td>$e^{+}e^{-} \rightarrow \ell^{+}\ell^{-}\gamma\gamma$</td></tr><tr><td>0.206 ± 0.035 ± 0.019</td><td>5.10 HEINTZ</td><td>92</td><td>CSB2</td><td>$e^{+}e^{-} \rightarrow \ell^{+}\ell^{-}\gamma\gamma$</td></tr><tr><td>0.132 ± 0.018 ± 0.012</td><td></td><td></td><td></td><td></td></tr></tbody></table>

⁵ Assuming $B(\mathcal{T}(2S) \rightarrow \mu^{+}\mu^{-}) = (1.93 \pm 0.17)\%$.

⁶ LEES 14M quotes $\Gamma(\chi_{b1}(2P) \rightarrow \gamma\mathcal{T}(2S))/\Gamma_{\text{total}} \times \Gamma(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P))/\Gamma_{\text{total}} = (2.66 \pm 0.22)\%$ combining the results from $\mathcal{T}(3S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$ samples with and without photon conversions.

⁷ LEES 14M reports $[\Gamma(\chi_{b1}(2P) \rightarrow \gamma\mathcal{T}(2S))/\Gamma_{\text{total}}] \times [B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P))] = (2.66 \pm 0.22) \times 10^{-2}$ which we divide by our best value $B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

⁸ LEES 11J reports $[\Gamma(\chi_{b1}(2P) \rightarrow \gamma\mathcal{T}(2S))/\Gamma_{\text{total}}] \times [B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P))] = (2.4 \pm 0.1 \pm 0.2) \times 10^{-2}$ which we divide by our best value $B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

⁹ CRAWFORD 92B quotes $B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P)) \times B(\chi_{b1}(2P) \rightarrow \gamma\mathcal{T}(2S)) \times 2 B(\mathcal{T}(2S) \rightarrow \ell^{+}\ell^{-}) = (10.23 \pm 1.20 \pm 1.26) \times 10^{-4}$.

¹⁰ Recalculated by us. HEINTZ 92 quotes $B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P)) \times B(\chi_{b1}(2P) \rightarrow \gamma\mathcal{T}(2S)) = (2.29 \pm 0.23 \pm 0.21)\%$ using $B(\mathcal{T}(2S) \rightarrow \mu^{+}\mu^{-}) = (1.44 \pm 0.10)\%$. Supersedes HEINTZ 91.

$$\Gamma(\gamma \, \mathcal{T}(1S))/\Gamma_{\text{total}} \qquad \Gamma_3/\Gamma$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

<table><tr><td>0.099 ± 0.010 OUR AVERAGE</td><td>11,12,13 LEES</td><td>14M</td><td>BABR</td><td>$\mathcal{T}(3S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$</td></tr><tr><td>0.098 ± 0.005 ± 0.009</td><td>15k</td><td>11J</td><td>BABR</td><td>$\mathcal{T}(3S) \rightarrow X\gamma$</td></tr><tr><td>0.103 ± 0.023 ± 0.009</td><td>11,15 CRAWFORD</td><td>92B</td><td>CLE2</td><td>$e^{+}e^{-} \rightarrow \ell^{+}\ell^{-}\gamma\gamma$</td></tr><tr><td>0.075 ± 0.010 ± 0.007</td><td>11,16 HEINTZ</td><td>92</td><td>CSB2</td><td>$e^{+}e^{-} \rightarrow \ell^{+}\ell^{-}\gamma\gamma$</td></tr></table>

¹¹ Assuming $B(\mathcal{T}(1S) \rightarrow \mu^{+}\mu^{-}) = (2.48 \pm 0.05)\%$.

¹² LEES 14M quotes $\Gamma(\chi_{b1}(2P) \rightarrow \gamma\mathcal{T}(1S))/\Gamma_{\text{total}} \times \Gamma(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P))/\Gamma_{\text{total}} = (13.48 \pm 0.72) \times 10^{-3}$ combining the results from samples of $\mathcal{T}(3S) \rightarrow \gamma\gamma\mu^{+}\mu^{-}$ with and without converted photons.

¹³ LEES 14M reports $[\Gamma(\chi_{b1}(2P) \rightarrow \gamma\mathcal{T}(1S))/\Gamma_{\text{total}}] \times [B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P))] = (13.48 \pm 0.72) \times 10^{-3}$ which we divide by our best value $B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

¹⁴ LEES 11J reports $[\Gamma(\chi_{b1}(2P) \rightarrow \gamma\mathcal{T}(1S))/\Gamma_{\text{total}}] \times [B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P))] = (12.4 \pm 0.3 \pm 0.6) \times 10^{-3}$ which we divide by our best value $B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

¹⁵ CRAWFORD 92B quotes $B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P)) \times B(\chi_{b1}(2P) \rightarrow \gamma\mathcal{T}(1S)) \times 2 B(\mathcal{T}(1S) \rightarrow \ell^{+}\ell^{-}) = (6.47 \pm 1.12 \pm 0.82) \times 10^{-4}$.

¹⁶ Recalculated by us. HEINTZ 92 quotes $B(\mathcal{T}(3S) \rightarrow \gamma\chi_{b1}(2P)) \times B(\chi_{b1}(2P) \rightarrow \gamma\mathcal{T}(1S)) = (0.91 \pm 0.11 \pm 0.06)\%$ using $B(\mathcal{T}(1S) \rightarrow \mu^{+}\mu^{-}) = (2.57 \pm 0.05)\%$. Supersedes HEINTZ 91.
# Meson Particle Listings

## $\chi_{b1}(2P)$

$\Gamma(\pi\pi\chi_{b1}(1P))/\Gamma_{\text{total}}$

VALUE (units 10⁻³) EVTS

### 9.1±1.3 OUR AVERAGE

9.2±1.1±0.8 31k

8.6±2.3±2.1

17 LEES 11c BABR $e^+e^- \to \pi^+\pi^-X$
18 CAWLFIELD 06 CLE3 $\Gamma(3S) \to 2(\gamma\pi\ell)$

$^{17}$LEES 11c measures $B(\Gamma(3S) \to \chi_{b1}(2P)X) \times B(\chi_{b1}(2P) \to \chi_{b1}(1P)\pi^+\pi^-) =$
(1.16 ± 0.07 ± 0.12) × 10⁻³. We derive the value assuming $B(\Gamma(3S) \to \chi_{b1}(2P)X) =$
$B(\Gamma(3S) \to \chi_{b1}(2P)\gamma) = (12.6 \pm 1.2) \times 10^{-2}$.

18 CAWLFIELD 06 quote $\Gamma(\chi_{b1}(2P) \to \pi\pi\chi_{b1}(1P)) = 0.83 \pm 0.22 \pm 0.08 \pm 0.19$ keV assuming I-spin conservation, no D-wave contribution, $\Gamma(\chi_{b1}(2P)) = 96 \pm 16$keV, and $\Gamma(\chi_{b2}(2P)) = 138 \pm 19$ keV.

$\Gamma(D^0X)/\Gamma_{\text{total}}$

VALUE (units 10⁻²) EVTS

8.8±1.5±0.8 2243

19 For $p_{D0} > 2.5$ GeV/c.

$\Gamma(\pi^+\pi^- K^+K^-\pi^0)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

3.1±1.0±0.3 30

20 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to \pi^+\pi^-K^+K^-\pi^0)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (39 \pm 8 \pm 9) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(2\pi^+\pi^- K^0 S^0)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

1.1±0.5±0.1 10

21 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 2\pi^+\pi^-K^0 S^0)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (14 \pm 5 \pm 3) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(2\pi^+\pi^- K^0 S^0 2\pi^0)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

7.7±3.1±0.7 15

22 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 2\pi^+\pi^-K^0 S^0 2\pi^0)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (97 \pm 30 \pm 26) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(2\pi^+2\pi^- 2\pi^0)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

5.9±2.0±0.5 36

23 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 2\pi^+2\pi^- 2\pi^0)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (74 \pm 16 \pm 19) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(2\pi^+2\pi^- K^+K^-)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

1.0±0.4±0.1 12

24 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 2\pi^+2\pi^- K^+K^-)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (12 \pm 4 \pm 3) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(2\pi^+2\pi^- K^+K^-\pi^0)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

5.5±1.7±0.5 38

25 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 2\pi^+2\pi^- K^+K^-\pi^0)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (69 \pm 13 \pm 17) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(2\pi^+2\pi^- K^+K^-2\pi^0)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

9.6±3.5±0.9 27

26 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 2\pi^+2\pi^- K^+K^-\pi^0)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (121 \pm 29 \pm 33) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(3\pi^+2\pi^- K^0 S^0 \pi^0)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

6.7±2.5±0.6 17

27 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 3\pi^+2\pi^- K^0 S^0 \pi^0)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (85 \pm 23 \pm 22) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(3\pi^+3\pi^-)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

1.2±0.4±0.1 18

28 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 3\pi^+3\pi^-)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (15 \pm 4 \pm 3) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(3\pi^+3\pi^- 2\pi^0)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

12±4±1 44

29 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 3\pi^+3\pi^- 2\pi^0)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (150 \pm 30 \pm 40) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(3\pi^+3\pi^- K^+K^-)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

2.0±0.7±0.2 16

30 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 3\pi^+3\pi^- K^+K^-)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (25 \pm 7 \pm 6) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(3\pi^+3\pi^- K^+K^-\pi^0)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

6.1±2.1±0.6 25

31 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 3\pi^+3\pi^- K^+K^-)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (77 \pm 17 \pm 21) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(4\pi^+4\pi^-)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

1.7±0.6±0.2 16

32 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 4\pi^+4\pi^-)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (22 \pm 6 \pm 5) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$\Gamma(4\pi^+4\pi^- 2\pi^0)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁴) EVTS

19±7±2 41

33 ASNER 08A reports $[\Gamma(\chi_{b1}(2P) \to 4\pi^+4\pi^-)/\Gamma_{\text{total}}] \times [B(\Gamma(3S) \to \gamma\chi_{b1}(2P))] = (241 \pm 47 \pm 72) \times 10^{-6}$ which we divide by our best value $B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) = (12.6 \pm 1.2) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

## $\chi_{b1}(2P)$ Cross-Particle Branching Ratios

$\Gamma(\chi_{b1}(2P) \to \gamma\Gamma(1S))/\Gamma_{\text{total}} \times \Gamma(\gamma\Gamma(3S) \to \gamma\chi_{b1}(2P))/\Gamma_{\text{total}}$

$\Gamma_3/\Gamma \times \Gamma(3S) / \Gamma(3S)$

VALUE (units 10⁻³) EVTS

12.4±0.3±0.6 15k

DOCUMENT ID

TECN

COMMENT

$B(\chi_{b1}(2P) \to \gamma\Gamma(1S)) \times B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) \times B(\Gamma(1S) \to \ell^+\ell^-)$

VALUE (units 10⁻⁴) EVTS

2.9 ±0.4 OUR AVERAGE Error includes scale factor of 1.9. See the ideogram below.

3.52±0.28±0.17
0.27±0.18

34 LEES 14M BABR $\gamma(3S) \to \gamma\gamma\mu^+\mu^-$

3.24±0.56±0.41 58

35 CRAWFORD 92B CLE2 $\gamma(3S) \to \gamma\gamma\ell^+\ell^-$

2.34±0.28±0.15

36 HEINTZ 92 CSB2 $\gamma(3S) \to \gamma\gamma\ell^+\ell^-$

WEIGHTED AVERAGE
2.9±0.4 (Error scaled by 1.9)

<figure><img src="image_702.png" /></figure>

$B(\chi_{b1}(2P) \to \gamma\Gamma(1S)) \times B(\Gamma(3S) \to \gamma\chi_{b1}(2P)) \times B(\Gamma(1S) \to \ell^+\ell^-)$

34 From a sample of $\Gamma(3S) \to \gamma\gamma\mu^+\mu^-$ with one converted photon.
³⁵ CRAWFORD 92B quotes $2 \times B(\mathcal{T}(3S) \to \gamma \chi_{bJ}(2P)) B(\chi_{bJ}(2P) \to \gamma \mathcal{T}(nS)) B(\mathcal{T}(nS) \to \ell^+ \ell^-)$.

³⁶ Calculated by us. HEINTZ 92 quotes $B(\mathcal{T}(3S) \to \gamma \chi_{b1}(2P)) \times B(\chi_{b1}(2P) \to \gamma \mathcal{T}(1S)) = (0.91 \pm 0.11 \pm 0.06)\%$ using $B(\mathcal{T}(1S) \to \mu^+ \mu^-) = (2.57 \pm 0.05)\%$.

$$ \begin{array}{l} \Gamma(\chi_{b1}(2P) \to \gamma \mathcal{T}(2S)) / \Gamma_{\text{total}} \times \Gamma(\mathcal{T}(3S) \to \gamma \chi_{b1}(2P)) / \Gamma_{\text{total}} \\ \qquad \Gamma_{2/\Gamma} \times \Gamma_{21}^{\mathcal{T}(3S)} / \Gamma(\mathcal{T}(3S)) \end{array} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>2.4 ± 0.1 ± 0.2</td><td>4.3k</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>LEES</td><td>11J</td><td>BABR</td></tr></tbody></table>

$$ \begin{array}{l} \mathbf{B}(\chi_{b1}(2P) \to \gamma \mathcal{T}(2S)) \times \mathbf{B}(\mathcal{T}(3S) \to \gamma \chi_{b1}(2P)) \times \mathbf{B}(\mathcal{T}(2S) \to \ell^+ \ell^-) \\ \mathbf{EVTS} \end{array} $$

Error includes scale factor of 1.8. See the ideogram below.

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>4.95<sup>+0.75</sup> <sub>-0.70</sub> <sup>+1.01</sup> <sub>-0.24</sub></td><td>37 LEES</td></tr><tr><td>5.12 ± 0.60 ± 0.63</td><td>111</td></tr><tr><td>3.30 ± 0.33 ± 0.20</td><td>38 CRAWFORD<br>39 HEINTZ</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>14M</td><td>BABR</td><td>\Gamma(3S) \to \gamma\gamma\mu^+\mu^-</td></tr><tr><td>92B</td><td>CLE2</td><td>\Gamma(3S) \to \gamma\gamma\ell^+\ell^-</td></tr><tr><td>92</td><td>CSB2</td><td>\Gamma(3S) \to \gamma\gamma\ell^+\ell^-</td></tr></tbody></table>

³⁷ From a sample of $\mathcal{T}(3S) \to \gamma\gamma\mu^+\mu^-$ with one converted photon.

³⁸ CRAWFORD 92B quotes $2 \times B(\mathcal{T}(3S) \to \gamma \chi_{bJ}(2P)) B(\chi_{bJ}(2P) \to \gamma \mathcal{T}(nS)) B(\mathcal{T}(nS) \to \ell^+ \ell^-)$.

³⁹ Calculated by us. HEINTZ 92 quotes $B(\mathcal{T}(3S) \to \gamma \chi_{b1}(2P)) \times B(\chi_{b1}(2P) \to \gamma \mathcal{T}(2S)) = (2.29 \pm 0.23 \pm 0.21)\%$ using $B(\mathcal{T}(2S) \to \mu^+ \mu^-) = (1.44 \pm 0.10)\%$.

WEIGHTED AVERAGE
3.8 ± 0.6 (Error scaled by 1.8)

<figure><img src="image_703.png" /></figure>

$$ \begin{array}{l} \mathbf{B}(\chi_{b1}(2P) \to \gamma \mathcal{T}(2S)) \times \mathbf{B}(\mathcal{T}(3S) \to \gamma \chi_{b1}(2P)) \times \mathbf{B}(\mathcal{T}(2S) \to \ell^+ \ell^-) \\ \text{(units 10}^{-4}\text{)} \end{array} $$

$$ \mathbf{B}(\chi_{b1}(2P) \to \chi_{b1}(1P) \pi^+ \pi^-) \times \mathbf{B}(\mathcal{T}(3S) \to \chi_{b1}(2P) X) $$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th></tr></thead><tbody><tr><td>1.16 ± 0.07 ± 0.12</td><td>31k</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>LEES</td><td>11c</td><td>BABR</td></tr></tbody></table>

$$ \mathbf{B}(\chi_{b2}(2P) \to pX + \bar{p}X)/\mathbf{B}(\chi_{b1}(2P) \to pX + \bar{p}X) $$

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>1.109 ± 0.007 ± 0.040</td><td>07</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>BRIERE</td><td>07</td><td>\Gamma(3S) \to \gamma \chi_{bJ}(2P)</td></tr></tbody></table>

$$ \mathbf{B}(\chi_{b0}(2P) \to pX + \bar{p}X)/\mathbf{B}(\chi_{b1}(2P) \to pX + \bar{p}X) $$

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>1.082 ± 0.025 ± 0.060</td><td>07</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>BRIERE</td><td>07</td><td>\Gamma(3S) \to \gamma \chi_{bJ}(2P)</td></tr></tbody></table>

### $\chi_{b1}(2P)$ REFERENCES

<table><tbody><tr><td>LEES</td><td>14M</td><td>PR D90 112010</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>LEES</td><td>11C</td><td>PR D84 011104</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>LEES</td><td>11J</td><td>PR D84 072002</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ASNER</td><td>08A</td><td>PR D78 091103</td><td>D.M. Asner et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BRIERE</td><td>08</td><td>PR D78 092007</td><td>R.A. Briere et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BRIERE</td><td>07</td><td>PR D76 012005</td><td>R.A. Briere et al.</td><td>(CLEO Collab.)</td></tr><tr><td>CAWLFIELD</td><td>06</td><td>PR D73 012003</td><td>C. Cawfield et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ARTUSO</td><td>05</td><td>PRL 94 032001</td><td>M. Artuso et al.</td><td>(CLEO Collab.)</td></tr><tr><td>CRONIN-HEN...04</td><td>05</td><td>PRL 92 222002</td><td>D. Cronin-Hennessy et al.</td><td>(CLEO Collab.)</td></tr><tr><td>CRAWFORD</td><td>92B</td><td>PL B294 139</td><td>G. Crawford et al.</td><td>(CLEO Collab.)</td></tr><tr><td>HEINTZ</td><td>92</td><td>PR D46 1928</td><td>U. Heintz et al.</td><td>(CUSB II Collab.)</td></tr><tr><td>HEINTZ</td><td>91</td><td>PRL 66 1563</td><td>U. Heintz et al.</td><td>(CUSB Collab.)</td></tr><tr><td>MORRISON</td><td>91</td><td>PRL 67 1696</td><td>R.J. Morrison et al.</td><td>(CLEO Collab.)</td></tr><tr><td>NARAIN</td><td>91</td><td>PRL 66 3113</td><td>M. Narain et al.</td><td>(CUSB Collab.)</td></tr></tbody></table>

### $h_b(2P)$

$$ I^G(J^{PC}) = 0^-(1 + \bar{\gamma}) $$

Quantum numbers are quark model predictions. $C = -$ established by $\eta_b \gamma$ decay.

### $h_b(2P)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>10259.8 ± 0.5 ± 1.1</td><td>90k</td><td>1 MIZUK</td><td>12 BELL</td><td>e<sup>+</sup> e<sup>-</sup> → π<sup>+</sup> π<sup>-</sup> hadrons</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>10259.8 ± 0.6 <sup>+1.4</sup><sub>-1.0</sub></td><td>83.9k</td><td>2 ADACHI</td><td>12 BELL</td><td>10.86 e<sup>+</sup> e<sup>-</sup> → π<sup>+</sup> π<sup>-</sup> MM</td></tr></tbody></table>

¹ Observed with 9 standard deviations significance.

² Superseded by MIZUK 12.

### $h_b(2P)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> hadrons</td><td>not seen</td></tr><tr><td>Γ<sub>2</sub> η<sub>b</sub>(1S)γ</td><td>(22 ± 5) %</td></tr><tr><td>Γ<sub>3</sub> η<sub>b</sub>(2S)γ</td><td>(48 ± 13) %</td></tr></tbody></table>

### $h_b(2P)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(hadrons)/Γ<sub>total</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>not seen</td><td>83.9k</td><td>ADACHI</td><td>12</td><td>BELL</td><td>10.86 e<sup>+</sup> e<sup>-</sup> → π<sup>+</sup> π<sup>-</sup> MM</td></tr></tbody></table>

<table><thead><tr><th>Γ(η<sub>b</sub>(1S)γ)/Γ<sub>total</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>22.3 ± 3.8 <sup>+3.1</sup><sub>-3.3</sub></td><td>10k</td><td>MIZUK</td><td>12</td><td>BELL</td><td>e<sup>+</sup> e<sup>-</sup> → (γ)π<sup>+</sup> π<sup>-</sup> hadrons</td></tr></tbody></table>

<table><thead><tr><th>Γ(η<sub>b</sub>(2S)γ)/Γ<sub>total</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>47.5 ± 10.5 <sup>+6.8</sup><sub>-7.7</sub></td><td>26k</td><td>MIZUK</td><td>12</td><td>BELL</td><td>e<sup>+</sup> e<sup>-</sup> → (γ)π<sup>+</sup> π<sup>-</sup> hadrons</td></tr></tbody></table>

### $h_b(2P)$ REFERENCES

<table><tbody><tr><td>ADACHI</td><td>12</td><td>PRL 108 032001</td><td>I. Adachi et al.</td><td>(BELLE Collab.)</td></tr><tr><td>MIZUK</td><td>12</td><td>PRL 109 232002</td><td>R. Mizuk et al.</td><td>(BELLE Collab.)</td></tr></tbody></table>

### $\chi_{b2}(2P)$

$$ I^G(J^{PC}) = 0^+(2 + \bar{\gamma}) $$

J needs confirmation.

Observed in radiative decay of the $\mathcal{T}(3S)$, therefore $C = +$. Branching ratio requires E1 transition, M1 is strongly disfavored, therefore $P = +$.

### $\chi_{b2}(2P)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>10268.65 ± 0.22 ± 0.50</td><td>OUR EVALUATION</td><td></td><td></td><td>From γ energy below, using $\mathcal{T}(3S)$ mass = 10355.2 ± 0.5 MeV</td></tr></tbody></table>

### $m_{\chi_{b2}(2P)} - m_{\chi_{b1}(2P)}$

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>13.10 ± 0.24</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>12.3 ± 2.6 ± 0.6</td><td></td><td>1 AAIJ</td><td>14BG LHCB</td><td>p p → γμ<sup>+</sup> μ<sup>-</sup> X</td></tr><tr><td>13.04 ± 0.26</td><td></td><td>LEES</td><td>14M BABR</td><td>\mathcal{T}(3S) → γγμ<sup>+</sup> μ<sup>-</sup></td></tr><tr><td>13.5 ± 0.4 ± 0.5</td><td></td><td>2 HEINTZ</td><td>92 CSB2</td><td>e<sup>+</sup> e<sup>-</sup> → γX, \ell<sup>+</sup> \ell<sup>-</sup> γγ</td></tr></tbody></table>

¹ From the $\chi_{bJ}(2P) \to \mathcal{T}(1S)\gamma$ transition.

² From the average photon energy for inclusive and exclusive events. Supersedes NARAIN 91.

### $\gamma$ ENERGY IN $\mathcal{T}(3S)$ DECAY

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>86.19 ± 0.22</td><td>OUR EVALUATION</td><td></td><td></td><td>Treating systematic errors as correlated</td></tr><tr><td>86.40 ± 0.18</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr></tbody></table>

<table><tbody><tr><td>86.04 ± 0.06 ± 0.27</td><td></td><td>ARTUSO</td><td>05 CLEO</td><td>\mathcal{T}(3S) → γX</td></tr><tr><td>86 ± 1</td><td>101</td><td>CRAWFORD</td><td>92B CLE2</td><td>e<sup>+</sup> e<sup>-</sup> → \ell<sup>+</sup> \ell<sup>-</sup> γγ</td></tr><tr><td>86.7 ± 0.4</td><td>10319</td><td>3 HEINTZ</td><td>92 CSB2</td><td>e<sup>+</sup> e<sup>-</sup> → γX</td></tr><tr><td>86.9 ± 0.4</td><td>157</td><td>4 HEINTZ</td><td>92 CSB2</td><td>e<sup>+</sup> e<sup>-</sup> → \ell<sup>+</sup> \ell<sup>-</sup> γγ</td></tr><tr><td>86.4 ± 0.1 ± 0.4</td><td>30741</td><td>MORRISON</td><td>91 CLE2</td><td>e<sup>+</sup> e<sup>-</sup> → γX</td></tr></tbody></table>

³ A systematic uncertainty on the energy scale of 0.9% not included. Supersedes NARAIN 91.

⁴ A systematic uncertainty on the energy scale of 0.9% not included. Supersedes HEINTZ 91.

### $\chi_{b2}(2P)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th><th>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> ω \mathcal{T}(1S)</td><td>(1.10<sup>+0.34</sup><sub>-0.30</sub> %)</td><td></td></tr><tr><td>Γ<sub>2</sub> γ \mathcal{T}(2S)</td><td>(8.9 ± 1.2) %</td><td></td></tr><tr><td>Γ<sub>3</sub> γ \mathcal{T}(1S)</td><td>(6.6 ± 0.8) %</td><td></td></tr><tr><td>Γ<sub>4</sub> ππ \chi<sub>b2</sub>(1P)</td><td>(5.1 ± 0.9) × 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>5</sub> D<sup>0</sup> X</td><td>&lt; 2.4 %</td><td>90%</td></tr><tr><td>Γ<sub>6</sub> π<sup>+</sup> π<sup>-</sup> K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td><td>&lt; 1.1 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>7</sub> 2π<sup>+</sup> π<sup>-</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub></td><td>&lt; 9 × 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>8</sub> 2π<sup>+</sup> π<sup>-</sup> K<sup>-</sup> K<sup>0</sup><sub>S</sub> 2π<sup>0</sup></td><td>&lt; 7 × 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>9</sub> 2π<sup>+</sup> 2π<sup>-</sup> 2π<sup>0</sup></td><td>(3.9 ± 1.6) × 10<sup>-4</sup></td><td></td></tr></tbody></table>