<table><tbody><tr><td>5.37 ± 0.17 ± 0.15</td><td>2.3k</td><td>2 ABLIKIM</td><td>23B BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.128-4.226 GeV</td></tr><tr><td>5.29 ± 0.25 ± 0.20</td><td>1.7k</td><td>3 ABLIKIM</td><td>21A BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178, 4.226 GeV</td></tr><tr><td>5.27 ± 0.10 ± 0.12</td><td>4.9k</td><td>4 ABLIKIM</td><td>21A2 BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178, 4.226 GeV</td></tr><tr><td>3.28 ± 1.83 ± 0.37</td><td>33</td><td>5 ABLIKIM</td><td>16O BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.009 GeV</td></tr><tr><td>5.70 ± 0.21 <sup>+0.31</sup><sub>-0.30</sub></td><td>2.2k</td><td>6 ZUPANC</td><td>13 BELL</td><td>e<sup>+</sup>e<sup>-</sup> at T(4S), T(5S)</td></tr><tr><td>4.96 ± 0.37 ± 0.57</td><td>748</td><td>7 DEL-AMO-SA..10J</td><td>BABR</td><td>e<sup>-</sup>ν<sub>e</sub>ν<sub>τ</sub>, μ<sup>-</sup>ν<sub>μ</sub>ν<sub>τ</sub></td></tr><tr><td>6.42 ± 0.81 ± 0.18</td><td>126</td><td>8 ALEXANDER</td><td>09 CLEO</td><td>τ<sup>+</sup> → π<sup>+</sup>ν<sub>τ</sub></td></tr><tr><td>5.52 ± 0.57 ± 0.21</td><td>155</td><td>8 NAIK</td><td>09A CLEO</td><td>τ<sup>+</sup> → ρ<sup>+</sup>ν<sub>τ</sub></td></tr><tr><td>5.30 ± 0.47 ± 0.22</td><td>181</td><td>8 ONYISI</td><td>09 CLEO</td><td>τ<sup>+</sup> → e<sup>+</sup>ν<sub>e</sub>ν<sub>τ</sub></td></tr></tbody></table>

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

<table><tbody><tr><td>5.21 ± 0.25 ± 0.17</td><td>950</td><td>9 ABLIKIM</td><td>21B BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178, 4.226 GeV</td></tr><tr><td>6.17 ± 0.71 ± 0.34</td><td>102</td><td>10 ECKLUND</td><td>08 CLEO</td><td>See ONYISI 09</td></tr><tr><td>8.0 ± 1.3 ± 0.4</td><td>47</td><td>10 PEDLAR</td><td>07A CLEO</td><td>See ALEXANDER 09</td></tr><tr><td>5.79 ± 0.77 ± 1.84</td><td>881</td><td>11 HEISTER</td><td>02I ALEP</td><td>Z decays</td></tr><tr><td>7.0 ± 2.1 ± 2.0</td><td>22</td><td>12 ABBIENDI</td><td>01L OPAL</td><td>D<sub>S</sub><sup>++</sup> → γD<sub>S</sub><sup>+</sup> from Z's</td></tr><tr><td>7.4 ± 2.8 ± 2.4</td><td>16</td><td>13 ACCIARRI</td><td>97F L3</td><td>D<sub>S</sub><sup>++</sup> → γD<sub>S</sub><sup>+</sup> from Z's</td></tr></tbody></table>

1 ABLIKIM 23BP uses $τ^+ → π^+ν_τ$ decays.

2 ABLIKIM 23BX uses $τ^+ → μ^+ν_μν_τ$ decays.

3 ABLIKIM 21AF uses $τ^+ → π^+π^0ν_τ$ decays.

4 ABLIKIM 21AZ uses $τ^+ → e^+ν_eν_τ$ decays.

5 ABLIKIM 160 also reports that when constrained by the Standard Model ratio of $Γ(D_S^+ → τ^+ν_τ)/Γ(D_S^+ → μ^+ν_μ) = 9.76$; the branching fraction is found to be (4.83 ± 0.65 ± 0.26)%.

6 ZUPANC 13 uses both $μ^+ν$ and $τ^+ν$ events to get $f_{D_S} = (255.5 ± 4.2 ± 5.1)$ MeV.

7 DEL-AMO-SANCHEZ 10J (with a small correction; see LEES 15D) uses $μ^+ν_μ$ and $τ^+ν_τ$ events together to get $f_{D_S} = (259.9 ± 6.6 ± 7.6)$ MeV.

8 ALEXANDER 09, NAIK 09A, and ONYISI 09 use different τ decay modes and are independent. The three papers combined give $f_{D_S} = (259.7 ± 7.8 ± 3.4)$ MeV.

9 ABLIKIM 21BE uses $τ^+ → π^+ν_τ$ decays. When constrained by the Standard Model ratio of $Γ(D_S^+ → τ^+ν_τ)/Γ(D_S^+ → μ^+ν_μ) = 9.75$, the branching fraction is found to be (5.22 ± 0.10 ± 0.14)%.

10 ECKLUND 08 and PEDLAR 07A are independent: ECKLUND 08 uses $τ^+ → e^+ν_eν_τ$ events, PEDLAR 07A uses $τ^+ → π^+ν_τ$ events.

11 HEISTER 02I combines its $D_S^+ → τ^+ν_τ$ and $μ^+ν_μ$ branching fractions to get $f_{D_S} = (285 ± 19 ± 40)$ MeV.

12 This ABBIENDI 01L value gives a decay constant $f_{D_S}$ of (286 ± 44 ± 41) MeV.

13 The second ACCIARRI 97F error here combines in quadrature systematic (0.016) and normalization (0.018) errors. The branching fraction gives $f_{D_S} = (309 ± 58 ± 33 ± 38)$ MeV.

$$ \Gamma(\tau^{+} \nu_{\tau}) / \Gamma(\mu^{+} \nu_{\mu}) \qquad \Gamma_{22/\Gamma_{21}} $$

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

<table><tbody><tr><td>10.73 ± 0.69 <sup>+0.56</sup><sub>-0.53</sub></td><td>2.2k/492</td><td>1 ZUPANC</td><td>13 BELL</td><td>e<sup>+</sup>e<sup>-</sup> at T(4S), T(5S)</td></tr></tbody></table>

<table><tbody><tr><td>11.0 ± 1.4 ± 0.6</td><td>102</td><td>2 ECKLUND</td><td>08 CLEO</td><td>See ONYISI 09</td></tr></tbody></table>

1 This ZUPANC 13 ratio is not independent of the separate $τν$ and $μν$ fractions listed above.

2 This ECKLUND 08 value also uses results from PEDLAR 07A, and it is not independent of other results in these Listings. Combined with earlier CLEO results, the decay constant $f_{D_S}$ is 274 ± 10 ± 5 MeV.

$$ \Gamma(\gamma e^{+} \nu_{e}) / \Gamma_{\text{total}} \qquad \Gamma_{23/\Gamma} $$

$$ \Gamma(K^{+} K^{-} e^{+} \nu_{e}) / \Gamma(K^{+} K^{-} \pi^{+}) \qquad \Gamma_{24/\Gamma_{47}} $$

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

<table><tbody><tr><td>0.558 ± 0.007 ± 0.016</td><td>1 AUBERT</td><td>08AN BABR</td><td>e<sup>+</sup>e<sup>-</sup> at T(4S)</td></tr></tbody></table>

1 This AUBERT 08AN ratio is only for the $K^+K^-$ mass in the range 1.01-to-1.03 GeV in the numerator and 1.0095-to-1.0295 GeV in the denominator.

$$ \Gamma(K_0^S K_S^S e^+ \nu_e) / \Gamma_{\text{total}} \qquad \Gamma_{25/\Gamma} $$

$$ \Gamma(\phi e^{+} \nu_{e}) / \Gamma_{\text{total}} \qquad \Gamma_{26/\Gamma} $$

$$ \begin{array}{l} \text{2.39} \pm 0.16 \text{ OUR AVERAGE} \quad \text{Error includes scale factor of 1.3. See the ideogram below.} \\ \text{2.26} \pm 0.45 \pm 0.09 \qquad 26 \quad \text{ABLIKIM} \quad 18A BES3 \quad e^{+} e^{-} \text{ at } 4.009 \text{ GeV} \\ \text{2.14} \pm 0.17 \pm 0.08 \qquad 207 \quad \text{HIETALA} \quad 15 \quad \text{Uses CLEO data} \\ \text{2.61} \pm 0.03 \pm 0.17 \qquad 25k \quad \text{AUBERT} \quad 08AN BABR \quad e^{+} e^{-} \text{ at } T(4S) \end{array} $$







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

<table><tbody><tr><td>2.36 ± 0.23 ± 0.13</td><td>106</td><td>ECKLUND</td><td>09 CLEO</td><td>See HIETALA 15</td></tr><tr><td>2.29 ± 0.37 ± 0.11</td><td>45</td><td>YELTON</td><td>09 CLEO</td><td>See ECKLUND 09</td></tr></tbody></table>



WEIGHTED AVERAGE
2.39±0.16 (Error scaled by 1.3)

<figure><img src="image_564.png" /></figure>

$\Gamma(\phi e^{+} \nu_{e}) / \Gamma_{\text{total}} (\%)$

$$ \Gamma(\phi e^{+} \nu_{e}) / \Gamma(\phi \pi^{+}) \qquad \Gamma_{26/\Gamma_{48}} $$

As noted in the comment column, most of these measurements use $\phi\mu^+\nu_\mu$ events in addition to or instead of $\phi e^+\nu_e$ events.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.540 ± 0.033 ± 0.048</td><td>793</td><td>LINK</td><td>02J</td><td>FOCS Uses $\phi\mu^+\nu_\mu$</td></tr><tr><td>0.54 ± 0.05 ± 0.04</td><td>367</td><td>BUTLER</td><td>94</td><td>CLE2 Uses $\phi e^+\nu_e$ and $\phi\mu^+\nu_\mu$</td></tr><tr><td>0.58 ± 0.17 ± 0.07</td><td>97</td><td>FRABETTI</td><td>93G</td><td>E687 Uses $\phi\mu^+\nu_\mu$</td></tr><tr><td>0.57 ± 0.15 ± 0.15</td><td>104</td><td>ALBRECHT</td><td>91</td><td>ARG Uses $\phi e^+\nu_e$</td></tr><tr><td>0.49 ± 0.10 <sup>+0.10</sup><sub>-0.14</sub></td><td>54</td><td>ALEXANDER</td><td>90B</td><td>CLEO Uses $\phi e^+\nu_e$ and $\phi\mu^+\nu_\mu$</td></tr></tbody></table>

$$ \Gamma(\phi\mu^+\nu_\mu) / \Gamma_{\text{total}} \qquad \Gamma_{29/\Gamma} $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.24 ± 0.11 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>2.25 ± 0.09 ± 0.07</td><td>1.7k</td><td>ABLIKIM</td><td>23B Z BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.128-4.226 GeV</td></tr><tr><td>1.94 ± 0.53 ± 0.09</td><td>22</td><td>ABLIKIM</td><td>18A BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.009 GeV</td></tr></tbody></table>

$$ \Gamma(\eta e^{+} \nu_{e}) / \Gamma_{\text{total}} \qquad \Gamma_{31/\Gamma} $$

Unseen decay modes of the $\eta$ are included.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.26 ± 0.06 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>2.255 ± 0.039 ± 0.051</td><td>4k</td><td>ABLIKIM</td><td>23B O BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4128-4226 MeV</td></tr><tr><td>2.30 ± 0.31 ± 0.08</td><td>63</td><td>ABLIKIM</td><td>16T BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.009 GeV</td></tr><tr><td>2.28 ± 0.14 ± 0.19</td><td>358</td><td>1 HIETALA</td><td>15</td><td>Uses CLEO data</td></tr></tbody></table>

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

<table><tbody><tr><td>2.323 ± 0.063 ± 0.063</td><td>1.8k</td><td>2 ABLIKIM</td><td>19S BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4178 MeV</td></tr><tr><td>2.48 ± 0.29 ± 0.13</td><td>82</td><td>YELTON</td><td>09 CLEO</td><td>See HIETALA 15</td></tr></tbody></table>

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

2 Superseded by ABLIKIM 23B0

$$ \Gamma(\eta e^{+} \nu_{e}) / \Gamma(\phi e^{+} \nu_{e}) \qquad \Gamma_{31/\Gamma_{26}} $$

Unseen decay modes of the $\eta$ and the $\phi$ are included.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td><td></td><td></td><td></td><td></td></tr><tr><td>1.24 ± 0.12 ± 0.15</td><td>440</td><td>1 BRANDENB... 95</td><td>CLE2</td><td>See HIETALA 15</td></tr></tbody></table>

1 BRANDENBURG 95 uses both $e^+$ and $\mu^+$ events and makes a phase-space adjustment to use the $\mu^+$ events as $e^+$ events.

$$ \Gamma(\eta'(958) e^{+} \nu_{e}) / \Gamma_{\text{total}} \qquad \Gamma_{32/\Gamma} $$

Unseen decay modes of the $\eta'(958)$ are included.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.80 ± 0.04 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.810 ± 0.038 ± 0.024</td><td>675</td><td>ABLIKIM</td><td>23B O BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4128-4226 MeV</td></tr><tr><td>0.93 ± 0.30 ± 0.05</td><td>14</td><td>ABLIKIM</td><td>16T BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4009 MeV</td></tr><tr><td>0.68 ± 0.15 ± 0.06</td><td>20</td><td>1 HIETALA</td><td>15</td><td>Uses CLEO data</td></tr></tbody></table>

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

<table><tbody><tr><td>0.824 ± 0.073 ± 0.027</td><td>261</td><td>2 ABLIKIM</td><td>19S BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4178 MeV</td></tr><tr><td>0.91 ± 0.33 ± 0.05</td><td>7.5</td><td>YELTON</td><td>09 CLEO</td><td>See HIETALA 15</td></tr></tbody></table>

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

2 Superseded by ABLIKIM 23B0

$$ \Gamma(\eta'(958) e^{+} \nu_{e}) / \Gamma(\phi e^{+} \nu_{e}) \qquad \Gamma_{32/\Gamma_{26}} $$

Unseen decay modes of the resonances are included.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.43 ± 0.11 ± 0.07</td><td>29</td><td>1 BRANDENB... 95</td><td>CLE2</td><td>See HIETALA 15</td></tr></tbody></table>

1 BRANDENBURG 95 uses both $e^+$ and $\mu^+$ events and makes a phase-space adjustment to use the $\mu^+$ events as $e^+$ events.
# Meson Particle Listings

## $D_S^{\pm}$

$$[\Gamma(\eta e^+ \nu_e) + \Gamma(\eta'(958) e^+ \nu_e)]/\Gamma(\phi e^+ \nu_e)$$

Unseen decay modes of the resonances are included.

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

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

1.67±0.17±0.17 1 BRANDENB... 95 CLE2 See HIETALA 15

1 This BRANDENBURG 95 data is redundant with data in previous blocks.

$$\Gamma(\eta\mu^+ \nu_\mu)/\Gamma_{\text{total}}$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.42±0.46±0.11</td><td>44</td><td>ABLIKIM</td><td>18A</td><td>e<sup>+</sup>e<sup>-</sup> at 4.009 GeV</td></tr></tbody></table>

$$\Gamma(\eta'(958)\mu^+ \nu_\mu)/\Gamma_{\text{total}}$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.06±0.54±0.07</td><td>10</td><td>ABLIKIM</td><td>18A</td><td>e<sup>+</sup>e<sup>-</sup> at 4.009 GeV</td></tr></tbody></table>

$$\Gamma(\omega e^+ \nu_e)/\Gamma_{\text{total}}$$

A test for $u\bar{u}$ or $d\bar{d}$ content in the $D_S^+$. Neither Cabibbo-favored decays can contribute, and $\omega-\phi$ mixing is an unlikely explanation for any fraction above about $2 \times 10^{-4}$.

<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;0.20</td><td>90</td><td>MARTIN</td><td>11</td><td>e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$\Gamma(K^0 e^+ \nu_e)/\Gamma_{\text{total}}$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.34 ±0.04 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr></tbody></table>

0.325±0.038±0.016 117 1 ABLIKIM 19D BES3 e<sup>+</sup>e<sup>-</sup> at 4178 MeV

0.39 ±0.08 ±0.03 42 1 HIETALA 15 Uses CLEO data

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

0.37 ±0.10 ±0.02 14 YELTON 09 CLEO See HIETALA 15

1 $K^0$ reconstructed via $K^0 \to K_S^0 \to \pi^+\pi^0$ decays.

$$\Gamma(K_1(1270)^0 e^+ \nu_e)/\Gamma_{\text{total}}$$

<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;4.1 × 10<sup>-4</sup></td><td>90</td><td>1 ABLIKIM</td><td>23BS BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.128-4.226 GeV</td></tr></tbody></table>

1 ABLIKIM 23BS uses $K_1(1270)^0 \to K^-\pi^+\pi^0$ decays.

$$\Gamma(K^*(892)^0 e^+ \nu_e)/\Gamma_{\text{total}}$$

Unseen decay modes of the $K^*(892)^0$ are included.

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

0.215±0.028 OUR AVERAGE Error includes scale factor of 1.1.

0.237±0.026±0.020 155 1 ABLIKIM 19D BES3 e<sup>+</sup>e<sup>-</sup> at 4178 MeV

0.18 ±0.04 ±0.01 32 1 HIETALA 15 e<sup>+</sup>e<sup>-</sup> at 4.170 GeV

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

0.18 ±0.07 ±0.01 7.5 YELTON 09 CLEO See HIETALA 15

1 Uses CLEO data, but not authorized by the CLEO collaboration

$$\Gamma(f_0(500) e^+ \nu_e, f_0 \to \pi^0 \pi^0)/\Gamma_{\text{total}}$$

<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;7.3 × 10<sup>-4</sup></td><td>90</td><td>ABLIKIM</td><td>22J</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$$\Gamma(f_0(980) e^+ \nu_e, f_0 \to \pi^0 \pi^0)/\Gamma_{\text{total}}$$

<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>7.9±1.4±0.4</td><td>55</td><td>1 ABLIKIM</td><td>22J</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 Assuming $B(f_0 \to \pi^0 \pi^0) = 1/3$ via the isospin limit, this result implies $B(D_S^+ \to f_0(980) e^+ \nu_e) = (2.4 \pm 0.4) \times 10^{-3}$.

$$\Gamma(f_0(980) e^+ \nu_e, f_0 \to \pi^+ \pi^-)/\Gamma_{\text{total}}$$

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

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

0.13±0.03±0.01 42 1 HIETALA 15 Uses CLEO data

0.20±0.03±0.01 44 ECKLUND 09 CLEO See HIETALA 15

0.13±0.04±0.01 13 YELTON 09 CLEO See ECKLUND 09

1 HIETALA 15 uses a tighter cut on the reconstructed $\pi^+\pi^-$ mass (±60 MeV around the $f_0^0$) than ECKLUND 09. It finds that applying the same tight cut to both analyses gives consistent results.

$$\Gamma(f_0(980)\mu^+ \nu_\mu, f_0 \to K^+ K^-)/\Gamma_{\text{total}}$$

<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;5.45 × 10<sup>-4</sup></td><td>90</td><td>1 ABLIKIM</td><td>23BS BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.128-4.226 GeV</td></tr></tbody></table>

1 Partial wave analysis of 939 $D_S^+ \to K^+ K^- \mu^+ \nu_\mu$ events, assuming $K^+ K^- S$-wave is 100% $f_0(980)$.

$$\Gamma(a_0(980)^0 e^+ \nu_e, a_0^0 \to \pi^0 \eta)/\Gamma_{\text{total}}$$

<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>-4</sup></td><td>90</td><td>ABLIKIM</td><td>21Y</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$$\Gamma(\pi^0 e^+ \nu_e)/\Gamma_{\text{total}}$$

<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;6.4 × 10<sup>-5</sup></td><td>90</td><td>ABLIKIM</td><td>22BH BES3</td><td>6.32 fb<sup>-1</sup> of e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$$\Gamma(b_1(1235)^0 e^+ \nu_e, b_0^0 \to \omega \pi^0)/\Gamma_{\text{total}}$$

<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;6.4 × 10<sup>-4</sup></td><td>90</td><td>ABLIKIM</td><td>23BS BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.128-4.226 GeV</td></tr></tbody></table>

## Hadronic modes with a $K\bar{K}$ pair

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

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

1.450±0.035 OUR FIT

1.46 ±0.05 OUR AVERAGE Error includes scale factor of 1.2.

1.425±0.038±0.031 1.8k ABLIKIM 19AM BES3 e<sup>+</sup>e<sup>-</sup> at 4178 MeV

1.52 ±0.05 ±0.03 13 CLEO e<sup>+</sup>e<sup>-</sup> at 4.17 GeV

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

1.49 ±0.07 ±0.05 1 ALEXANDER 08 CLEO See ONYISI 13

1 ALEXANDER 08 uses single- and double-tagged events in an overall fit.

$$\Gamma(K^+ K_S^0)/\Gamma(K^+ K^- \pi^+)^*$$

<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>27.55±0.18±0.50</td><td>40k</td><td>ABLIKIM</td><td>20R</td><td>e<sup>+</sup>e<sup>-</sup>, 4178 ~ 4226 MeV</td></tr></tbody></table>

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

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.485±0.039±0.046</td><td>2.3k</td><td>ABLIKIM</td><td>19AM BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4178 MeV</td></tr></tbody></table>

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

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.95±0.11±0.09</td><td>2.0k</td><td>1 ZUPANC</td><td>13</td><td>e<sup>+</sup>e<sup>-</sup> at T(45), T(55)</td></tr></tbody></table>

1 ZUPANC 13 finds the $K^0$ from its missing-mass squared, not from $K_S^0 \to \pi^+\pi^-$. The DCS ($D_S^+ \to K^+ K^0$) contribution to this fraction is estimated to be an order of magnitude below the statistical uncertainty.

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

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

5.37±0.10 OUR FIT Error includes scale factor of 1.1.

5.45±0.11 OUR AVERAGE Error includes scale factor of 1.1.

5.47±0.08±0.13 5.1k ABLIKIM 21AE BES3 e<sup>+</sup>e<sup>-</sup> at 4.178 GeV

5.55±0.14±0.13 13 CLEO e<sup>+</sup>e<sup>-</sup> at 4.17 GeV

5.06±0.15±0.21 4.1k ZUPANC 13 BELL e<sup>+</sup>e<sup>-</sup> at T(45), T(55)

5.78±0.20±0.30 DEL-AMO-SA...10J BABR e<sup>+</sup>e<sup>-</sup>, 10.58 GeV

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

5.50±0.23±0.16 1 ALEXANDER 08 CLEO See ONYISI 13

1 ALEXANDER 08 uses single- and double-tagged events in an overall fit.

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

The results here are model-independent. For earlier, model-dependent results, see our PDG 06 edition. We decouple the $D_S^+ \to \phi\pi^+$ branching fraction obtained from mass projections (and used to get some of the other branching fractions) from the $D_S^+ \to \phi\pi^+$, $\phi \to K^+ K^-$ branching fraction obtained from the Dalitz-plot analysis of $D_S^+ \to K^+ K^- \pi^+$. That is, the ratio of these two branching fractions is not exactly the $\phi \to K^+ K^-$ branching fraction 0.491.

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

4.5 ±0.4 OUR AVERAGE

4.62±0.36±0.51 1 AUBERT 06N BABR e<sup>+</sup>e<sup>-</sup> at T(45)

4.81±0.52±0.38 212 ± 19 2 AUBERT 05V BABR e<sup>+</sup>e<sup>-</sup> ≈ T(45)

3.59±0.77±0.48 3 ARTUSO 96 CLE2 e<sup>+</sup>e<sup>-</sup>, 10.58 GeV

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

3.9 +5.1 +1.8 4 BAI 95C BES e<sup>+</sup>e<sup>-</sup> 4.03 GeV

1 This AUBERT 06N measurement uses $\bar{B}^0 \to D^{(*)-} D^{(*)+}$ and $B^- \to D^{(*)-} D^{(*)+}$ decays, including some from other papers. However, the result is independent of AUBERT 05V.

2 AUBERT 05V uses the ratio of $B^0 \to D^{*-} D_S^{*+}$ events seen in two different ways, in both of which the $D^{*-} \to \bar{B}^0 \pi^-$ decay is fully reconstructed: (1) The $D_S^{*+} \to D_S^+ \gamma$, $D_S^+ \to \phi\pi^+$ decay is fully reconstructed. (2) The number of events in the $D_S^+$ peak in the missing mass spectrum against the $D^{*-\gamma}$ is measured.

3 ARTUSO 96 uses partially reconstructed $\bar{B}^0 \to D^{*+} D_S^{*-}$ decays to get a model-independent value for $\Gamma(D_S^- \to \phi\pi^-)/\Gamma(D^0 \to K^- \pi^+)$ of 0.92 ± 0.20 ± 0.11.

4 BAI 95C uses $e^+e^- \to D_S^+ D_S^-$ events in which one or both of the $D_S^\pm$ are observed to obtain the first model-independent measurement of the $D_S^+ \to \phi\pi^+$ branching fraction, without assumptions about $\sigma(D_S^\pm)$. However, with only two "doubly-tagged" events, the statistical error is very large.
$$ \Gamma(\phi\pi^+, \phi \rightarrow K^+K^-)/\Gamma(K^+K^-\pi^+) \qquad \Gamma_{49}/\Gamma_{47} $$

This is the “fit fraction” from the Dalitz-plot analysis. We decouple the $D_s^+ \rightarrow \phi\pi^+$ branching fraction obtained from mass projections (and used to get some of the other branching fractions) from the $D_s^+ \rightarrow \phi\pi^+$, $\phi \rightarrow K^+K^-$ branching fraction obtained from the Dalitz-plot analysis of $D_s^+ \rightarrow K^+K^-\pi^+$. That is, the ratio of these two branching fractions is not exactly the $\phi \rightarrow K^+K^-$ branching fraction 0.491.

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

### 41.2±0.7 OUR AVERAGE

<table><tr><td>40.5±0.7±0.9</td><td>18.6k</td><td>ABLIKIM</td><td>21AE BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178 GeV</td></tr><tr><td>41.4±0.8±0.5</td><td></td><td>DEL-AMO-SA..11G</td><td>BABR</td><td>Dalitz fit, 96k evts</td></tr><tr><td>42.2±1.6±0.3</td><td></td><td>MITCHELL</td><td>09A CLEO</td><td>Dalitz fit, 12k evts</td></tr></table>

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

<table><tr><td>39.6±3.3±4.7</td><td>FRABETTI</td><td>95B E687</td><td>Dalitz fit, 701 evts</td></tr></table>

$$ \Gamma(K^+\bar{K}^*(892)^0)/\Gamma(K^*(892)^+\bar{K}^0) \qquad \Gamma_{50}/\Gamma_{67} $$

$$ \text{VALUE} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

<table><tr><td>2.35<sup>+0.42</sup><sub>-0.23</sub>±0.10</td><td>ABLIKIM</td><td>22AH BES3</td><td>Dalitz plot fit to 990<br>$D_s^{\pm} \rightarrow K^{\pm}K_S\pi^0$ evts</td></tr></table>

$$ \Gamma(K^+\bar{K}^*(892)^0, \bar{K}^{*0} \rightarrow K^-\pi^+)/\Gamma(K^+K^-\pi^+) \qquad \Gamma_{51}/\Gamma_{47} $$

This is the “fit fraction” from the Dalitz-plot analysis.

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

### 47.9±0.6 OUR AVERAGE

<table><tr><td>48.3±0.9±0.6</td><td>18.6k</td><td>ABLIKIM</td><td>21AE BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178 GeV</td></tr><tr><td>47.9±0.5±0.5</td><td></td><td>DEL-AMO-SA..11G</td><td>BABR</td><td>Dalitz fit, 96k evts</td></tr><tr><td>47.4±1.5±0.4</td><td></td><td>MITCHELL</td><td>09A CLEO</td><td>Dalitz fit, 12k evts</td></tr></table>

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

<table><tr><td>47.8±4.6±4.0</td><td>FRABETTI</td><td>95B E687</td><td>Dalitz fit, 701 evts</td></tr></table>

$$ \Gamma(K^+\bar{K}^*(892)^0, \bar{K}^{*0} \rightarrow K_5^0\pi^0)/\Gamma(K^+K_5^0\pi^0) \qquad \Gamma_{52}/\Gamma_{60} $$

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

<table><tr><td>32.7±2.2±1.9</td><td>ABLIKIM</td><td>22AH BES3</td><td>Dalitz plot fit, 990 evts</td></tr></table>

$$ \Gamma(f_0(980)\pi^+, f_0 \rightarrow K^+K^-)/\Gamma(K^+K^-\pi^+) \qquad \Gamma_{53}/\Gamma_{47} $$

This is the “fit fraction” from the Dalitz-plot analysis. This is likely a superposition of $D_s^+ \rightarrow f_0(980)\pi$ and $D_s^+ \rightarrow a_0(980)\pi$ which are indistinguishable in such an analysis.

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

20.6±3.5 OUR AVERAGE Error includes scale factor of 2.5. See the ideogram below.

<table><tr><td>19.3±1.7±2.0</td><td>18.6k</td><td>ABLIKIM</td><td>21AE BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178 GeV</td></tr><tr><td>16.4±0.7±2.0</td><td></td><td>DEL-AMO-SA..11G</td><td>BABR</td><td>Dalitz fit, 96k evts</td></tr><tr><td>28.2±1.9±1.8</td><td></td><td>MITCHELL</td><td>09A CLEO</td><td>Dalitz fit, 12k evts</td></tr></table>

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

<table><caption>WEIGHTED AVERAGE
20.6±3.5 (Error scaled by 2.5)</caption><tr><td>11.0±3.5±2.6</td><td>FRABETTI</td><td>95B E687</td><td>Dalitz fit, 701 evts</td></tr></table>

<figure><img src="image_565.png" /><figcaption>$\Gamma(f_0(980)\pi^+, f_0 \rightarrow K^+K^-)/\Gamma(K^+K^-\pi^+)$ (units $10^{-2}$)</figcaption></figure>

$$ \Gamma(f_0(1370)\pi^+, f_0 \rightarrow K^+K^-)/\Gamma(K^+K^-\pi^+) \qquad \Gamma_{54}/\Gamma_{47} $$

This is the “fit fraction” from the Dalitz-plot analysis.

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

1.3±0.5 OUR AVERAGE Error includes scale factor of 2.8. See the ideogram below.

<table><tr><td>1.2±0.4±0.2</td><td>18.6k</td><td>ABLIKIM</td><td>21AE BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178 GeV</td></tr><tr><td>2.1±0.3±0.2</td><td></td><td>DEL-AMO-SA..11G</td><td>BABR</td><td>Dalitz fit, 96k evts</td></tr><tr><td>4.3±0.6±0.5</td><td></td><td>MITCHELL</td><td>09A CLEO</td><td>Dalitz fit, 12k evts</td></tr></table>

<figure><img src="image_566.png" /><figcaption>$\Gamma(f_0(1370)\pi^+, f_0 \rightarrow K^+K^-)/\Gamma(K^+K^-\pi^+)$ (units $10^{-2}$)</figcaption></figure>

$$ \Gamma(f_0(1710)\pi^+, f_0 \rightarrow K^+K^-)/\Gamma(K^+K^-\pi^+) \qquad \Gamma_{55}/\Gamma_{47} $$

This is the “fit fraction” from the Dalitz-plot analysis. This is likely a superposition of $D_s^+ \rightarrow f_0(1710)\pi$ and $D_s^+ \rightarrow a_0(1710)\pi$ which are indistinguishable in such an analysis.

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

1.3±0.5 OUR AVERAGE Error includes scale factor of 3.8.

<table><tr><td>1.9±0.4±0.6</td><td>18.6k</td><td>ABLIKIM</td><td>21AE BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178 GeV</td></tr><tr><td>1.1±0.1±0.1</td><td></td><td>DEL-AMO-SA..11G</td><td>BABR</td><td>Dalitz fit, 96k evts</td></tr><tr><td>3.4±0.5±0.3</td><td></td><td>MITCHELL</td><td>09A CLEO</td><td>Dalitz fit, 12k evts</td></tr></table>

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

<table><tr><td>3.4±2.3±3.5</td><td>FRABETTI</td><td>95B E687</td><td>Dalitz fit, 701 evts</td></tr></table>

$$ \Gamma(a_0(980)^+\pi^0, a_0^+ \rightarrow K^+K_5^0\pi^0)/\Gamma(K^+K_5^0\pi^0) \qquad \Gamma_{56}/\Gamma_{60} $$

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

<table><tr><td>7.7±1.7±1.8</td><td>ABLIKIM</td><td>22AH BES3</td><td>Dalitz plot fit, 990 evts</td></tr></table>

$$ \Gamma(a_0(1710)^+\pi^0, a_0^+ \rightarrow K^+K_5^0\pi^0)/\Gamma(K^+K_5^0\pi^0) \qquad \Gamma_{57}/\Gamma_{60} $$

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

<table><tr><td>23.6±3.4±2.0</td><td>1 ABLIKIM</td><td>22AH BES3</td><td>Dalitz plot fit, 990 evts</td></tr></table>

1 ABLIKIM 22AH observe an $a_0$-like state with mass $m_{a_0} = 1.817 \pm 0.008 \pm 0.020$ GeV, and name the intermediate resonance $a_0(1817)$. We interpret this as the $a_0(1710)$ observed by LEES 21A.

$$ \Gamma(K^+\bar{K}_5^*(1430)^0, \bar{K}_5^* \rightarrow K^-\pi^+)/\Gamma(K^+K^-\pi^+) \qquad \Gamma_{58}/\Gamma_{47} $$

This is the “fit fraction” from the Dalitz-plot analysis.

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

### 3.3±0.5 OUR AVERAGE

<table><tr><td>3.0±0.6±0.5</td><td>18.6k</td><td>ABLIKIM</td><td>21AE BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178 GeV</td></tr><tr><td>2.4±0.3±1.0</td><td></td><td>DEL-AMO-SA..11G</td><td>BABR</td><td>Dalitz fit, 96k evts</td></tr><tr><td>3.9±0.5±0.5</td><td></td><td>MITCHELL</td><td>09A CLEO</td><td>Dalitz fit, 12k evts</td></tr></table>

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

<table><tr><td>9.3±3.2±3.2</td><td>FRABETTI</td><td>95B E687</td><td>Dalitz fit, 701 evts</td></tr></table>

$$ \Gamma(K^+\bar{K}_5^*(1410)^0, \bar{K}_5^* \rightarrow K_5^0\pi^0)/\Gamma(K^+K_5^0\pi^0) \qquad \Gamma_{59}/\Gamma_{60} $$

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

<table><tr><td>6.0±1.4±1.3</td><td>ABLIKIM</td><td>22AH BES3</td><td>Dalitz plot fit, 990 evts</td></tr></table>

$$ \Gamma(K^+K_5^0\pi^0)/\text{total} \qquad \Gamma_{60}/\Gamma $$

$$ \text{VALUE (%)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

### 1.47±0.07 OUR AVERAGE

<table><tr><td>1.46±0.06±0.05</td><td>990</td><td>ABLIKIM</td><td>22AH BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr><tr><td>1.52±0.09±0.20</td><td></td><td>ONYISI</td><td>13 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></table>

$$ \Gamma(K^*(892)^+K_5^0, K^{**} \rightarrow K^+\pi^0)/\Gamma(K^+K_5^0\pi^0) \qquad \Gamma_{61}/\Gamma_{60} $$

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

<table><tr><td>13.9±1.7±1.3</td><td>ABLIKIM</td><td>22AH BES3</td><td>Dalitz plot fit, 990 evts</td></tr></table>

$$ \Gamma(2K_5^0\pi^+)/\text{total} \qquad \Gamma_{62}/\Gamma $$

$$ \text{VALUE (%)} \quad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

0.71±0.04 OUR AVERAGE Error includes scale factor of 1.3.

<table><tr><td>0.68±0.04±0.01</td><td>370</td><td>ABLIKIM</td><td>22F BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr><tr><td>0.77±0.05±0.03</td><td></td><td>ONYISI</td><td>13 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></table>

$$ \Gamma(f_0(980)\pi^+, f_0 \rightarrow K_5^0K_5^0)/\text{total} \qquad \Gamma_{63}/\Gamma $$

This is the “fit fraction” from the Dalitz-plot analysis. This is likely a superposition of $D_s^+ \rightarrow f_0(980)\pi$ and $D_s^+ \rightarrow a_0(980)\pi$ which are indistinguishable in such an analysis.

$$ \text{VALUE (units 10}^{-2}\text{)} \quad \text{CL%} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT} $$

1 Based on isospin considerations, the authors interpret the suppression in the observed rate of this mode compared to $D_s^+ \rightarrow f_0(980)\pi^+$, $f_0 \rightarrow K^+K^-$ as likely due to the destructive interference between $a_0(980)$ and $f_0(980)$ in decays to $K_5^0K_5^0$.
$$
\begin{array}{l}
\Gamma(\phi_0(1710)\pi^+, \phi_0 \to K_S^0 K_S^0)/\Gamma(2K_S^0\pi^+) \qquad \Gamma_{64}/\Gamma_{62} \\
\text{This is the "fit fraction" from the D\"alitz-plot analysis. This is likely a superposition} \\
\text{of } D_S^+ \to \phi_0(1710)\pi \text{ and } D_S^0 \to a_0(1700)\pi \text{ which are indistinguishable in such an} \\
\text{analysis.}
\end{array}
$$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>46.3&plusmn;4.0&plusmn;1.2</td><td>ABLIKIM</td><td>22f</td><td>BES3 Dalitz plot fit, 400 evts</td></tr></tbody></table>

$$
\Gamma(K^*(892)^+ K_S^0, K^+ \to K_S^0 \pi^+) / \Gamma(2K_S^0 \pi^+) \quad \Gamma_{65}/\Gamma_{62}
$$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>43.5&plusmn;3.9&plusmn;0.5</td><td>ABLIKIM</td><td>22f</td><td>BES3 Dalitz plot fit, 400 evts</td></tr></tbody></table>

$$
\Gamma(K^*(892)^+ \bar{K}^0) / \Gamma(\phi^+) \qquad \Gamma_{67}/\Gamma_{48}
$$

Unseen decay modes of the resonances are included.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.20&plusmn;0.21&plusmn;0.13</td><td>CHEN</td><td>89</td><td>CLEO e<sup>+</sup>e<sup>-</sup> 10 GeV</td></tr></tbody></table>

$$
\Gamma(K^{+}K^{-} \pi^{+} \pi^{0}) / \Gamma_{\text{total}} \qquad \Gamma_{68}/\Gamma
$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>5.50&plusmn;0.24</td><td>OUR FIT</td><td></td><td></td><td>Error includes scale factor of 1.3.</td></tr></tbody></table>

<table><thead><tr><th>5.51&plusmn;0.28</th><th>OUR AVERAGE</th><th colspan="4">Error includes scale factor of 1.5.</th></tr></thead><tbody><tr><td>5.42&plusmn;0.10&plusmn;0.17</td><td>3k</td><td>1</td><td>ABLIKIM</td><td>21u</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr><tr><td>6.37&plusmn;0.21&plusmn;0.56</td><td></td><td></td><td></td><td></td><td>ONYISI e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

2 ALEXANDER 08 uses single- and double-tagged events in an overall fit.

$$
\Gamma(\phi^+) / \Gamma_{\text{total}} \qquad \Gamma_{69}/\Gamma
$$

<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>5.59&plusmn;0.15&plusmn;0.30</td><td>3k</td><td>1</td><td>ABLIKIM</td><td>21u BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

$$
\Gamma(\phi^+) / \Gamma(\phi^+) \qquad \Gamma_{69}/\Gamma_{48}
$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.86&plusmn;0.26<sup>+0.29</sup><sub>-0.40</sub></td><td>253</td><td>AVERY</td><td>92</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> &simeq; 10.5 GeV</td></tr></tbody></table>

$$
\Gamma(\bar{K}_1(1270)^0 K^+, \bar{K}_1(1270)^0 \to K^- \rho^+) / \Gamma_{\text{total}} \qquad \Gamma_{70}/\Gamma
$$

<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>0.57&plusmn;0.05&plusmn;0.04</td><td>3k</td><td>1</td><td>ABLIKIM</td><td>21u BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

$$
\Gamma(\bar{K}_1(1270)^0 K^+, \bar{K}_1(1270)^0 \to K^*(892)\pi^-) / \Gamma_{\text{total}} \qquad \Gamma_{71}/\Gamma
$$

<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>1.31&plusmn;0.18&plusmn;0.18</td><td>3k</td><td>1,2</td><td>ABLIKIM</td><td>21u BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

2 $\bar{K}_1(1270)^0 \to K^*(892)\pi$ denotes a sum over $\bar{K}(892)^0\pi^0$ and $K(892)^-\pi^+$ final states, which are assumed to have relative branching ratio 1/2, as per isospin.

$$
\Gamma(\bar{K}_1(1400)^0 K^+, \bar{K}_1(1400)^0 \to K^*(892)\pi^-) / \Gamma_{\text{total}} \qquad \Gamma_{72}/\Gamma
$$

<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>1.98&plusmn;0.27&plusmn;0.32</td><td>3k</td><td>1</td><td>ABLIKIM</td><td>21u BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 $\bar{K}_1(1400)^0 \to K^*(892)\pi$ denotes a sum over $\bar{K}(892)^0\pi^0$ and $K(892)^-\pi^+$ final states, which are assumed to have relative branching ratio 1/2, as per isospin.

$$
\Gamma(a_0(980)^0 \rho^+, a_0^0 \to K^+ K^-) / \Gamma_{\text{total}} \qquad \Gamma_{73}/\Gamma
$$

<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>0.19&plusmn;0.03&plusmn;0.03</td><td>3k</td><td>1</td><td>ABLIKIM</td><td>21u BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

$$
\Gamma(\bar{f}_1(1420)^0 \pi^+, \bar{f}_1(1420)^0 \to K^*(892)^{\mp} K^+) / \Gamma_{\text{total}} \qquad \Gamma_{74}/\Gamma
$$

<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>0.39&plusmn;0.06&plusmn;0.03</td><td>3k</td><td>1</td><td>ABLIKIM</td><td>21u BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

$$
\Gamma(\bar{f}_1(1420)^0 \pi^+, \bar{f}_1(1420)^0 \to a_0(980)^0 \pi^0, a_0(980)^0 \to K^+ K^-) / \Gamma_{\text{total}} \qquad \Gamma_{75}/\Gamma
$$

<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>0.04&plusmn;0.01&plusmn;0.01</td><td>3k</td><td>1</td><td>ABLIKIM</td><td>21u BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

$$
\Gamma(\eta(1475)\pi^+, \eta(1475) \to a_0(980)^0 \pi^0, a_0(980)^0 \to K^+ K^-) / \Gamma_{\text{total}} \qquad \Gamma_{76}/\Gamma
$$

<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>0.07&plusmn;0.02&plusmn;0.02</td><td>3k</td><td>1</td><td>ABLIKIM</td><td>21u BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

$$
\Gamma(K_S^0 K^- 2\pi^+) / \Gamma_{\text{total}} \qquad \Gamma_{77}/\Gamma
$$

1.53&plusmn;0.08 OUR FIT Error includes scale factor of 1.5.

<table><thead><tr><th>1.53&plusmn;0.11</th><th>OUR AVERAGE</th><th colspan="4">Error includes scale factor of 1.8.</th></tr></thead><tbody><tr><td>1.46&plusmn;0.05&plusmn;0.05</td><td>1.3k</td><td>ABLIKIM</td><td>21k</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr><tr><td>1.69&plusmn;0.07&plusmn;0.08</td><td></td><td></td><td></td><td>ONYISI e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

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

1.64&plusmn;0.10&plusmn;0.07 1 ALEXANDER 08 CLEO See ONYISI 13

1 ALEXANDER 08 uses single- and double-tagged events in an overall fit.

$$
\Gamma(K^+ K^- K_S^0 \pi^+) / \Gamma(K^+ K_S^0 \pi^+) \qquad \Gamma_{78}/\Gamma_{84}
$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.36&plusmn;0.15&plusmn;0.04</td><td>645</td><td>MOON</td><td>23</td><td>BELL 980 fb<sup>-1</sup> at ~ Γ(4S)</td></tr></tbody></table>

$$
\Gamma(K^*(892)^+ \bar{K}^*(892)^0) / \Gamma_{\text{total}} \qquad \Gamma_{79}/\Gamma
$$

<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>5.64&plusmn;0.23&plusmn;0.27</td><td>3k</td><td>1</td><td>ABLIKIM</td><td>21u BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

$$
\Gamma(K^*(892)^+ \bar{K}^*(892)^0) / \Gamma(\phi^+) \qquad \Gamma_{79}/\Gamma_{48}
$$

Unseen decay modes of the resonances are included.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.6&plusmn;0.4&plusmn;0.4</td><td>ALBRECHT</td><td>92B</td><td>ARG e<sup>+</sup>e<sup>-</sup> ~ 10.4 GeV</td></tr></tbody></table>

$$
\Gamma(K^*(892)^+ \bar{K}^*(892)^0) / \Gamma(K_S^0 K^- 2\pi^+) \qquad \Gamma_{79}/\Gamma_{77}
$$

<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>40.6&plusmn;2.9&plusmn;4.9</td><td>1.3k</td><td>1,2</td><td>ABLIKIM</td><td>21k BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 Predominantly S-wave, with a significant D-wave component.

2 $D_S^+ \to K_S^0 K^- 2\pi^+$ amplitude analysis with 13 components.

$$
\Gamma(\eta(1475) K_S^0, \eta \to K^*(892)^0 \pi^+, K^{*0} \to K^- \pi^+) / \Gamma(K_S^0 K^- 2\pi^+) \qquad \Gamma_{80}/\Gamma_{77}
$$

<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>2.2&plusmn;0.6&plusmn;0.2</td><td>1.3k</td><td>1</td><td>ABLIKIM</td><td>21k BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 $D_S^+ \to K_S^0 K^- 2\pi^+$ amplitude analysis with 13 components.

$$
\Gamma(\eta(1475)\pi^+, \eta \to \bar{K}^*(892)^+ K^-, \bar{K}^{*0} \to K^- \pi^+) / \Gamma(K_S^0 K^- 2\pi^+) \qquad \Gamma_{81}/\Gamma_{77}
$$

<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>2.2&plusmn;0.6&plusmn;0.2</td><td>1.3k</td><td>1</td><td>ABLIKIM</td><td>21k BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 $D_S^+ \to K_S^0 K^- 2\pi^+$ amplitude analysis with 13 components.

$$
\Gamma(\eta(1475)\pi^+, \eta \to a_0(980)^- \pi^+, a_0^- \to K_S^0 K^-) / \Gamma(K_S^0 K^- 2\pi^+) \qquad \Gamma_{82}/\Gamma_{77}
$$

<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>10.9&plusmn;2.6&plusmn;5.2</td><td>1.3k</td><td>1</td><td>ABLIKIM</td><td>21k BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 $D_S^+ \to K_S^0 K^- 2\pi^+$ amplitude analysis with 13 components.

$$
\Gamma(\bar{f}_1(1285)\pi^+, \bar{f}_1 \to a_0(980)^- \pi^+, a_0^- \to K_S^0 K^-) / \Gamma(K_S^0 K^- 2\pi^+) \qquad \Gamma_{83}/\Gamma_{77}
$$

<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>2.2&plusmn;0.5&plusmn;0.2</td><td>1.3k</td><td>1</td><td>ABLIKIM</td><td>21k BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

1 $D_S^+ \to K_S^0 K^- 2\pi^+$ amplitude analysis with 13 components.

$$
\Gamma(K_S^0 K^+ \pi^-) / \Gamma_{\text{total}} \qquad \Gamma_{84}/\Gamma
$$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.95&plusmn;0.08</td><td>OUR FIT</td><td></td><td></td></tr><tr><td>1.03&plusmn;0.06&plusmn;0.08</td><td></td><td></td><td>ONYISI 13 CLEO e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

$$
\Gamma(K_S^0 K^+ \pi^-) / \Gamma(K_S^0 K^- 2\pi^+) \qquad \Gamma_{84}/\Gamma_{77}
$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.62 &plusmn; 0.05</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>0.586&plusmn;0.052&plusmn;0.043</td><td>476</td><td>LINK</td><td>01C</td><td>FOCS &gamma; A, E<sub>&gamma;</sub> &asymp; 180 GeV</td></tr></tbody></table>

$$
\Gamma(K^+ K^- 2\pi^+) / \Gamma_{\text{total}} \qquad \Gamma_{85}/\Gamma
$$

<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>6.60&plusmn;0.47&plusmn;0.38</td><td>309</td><td>ABLIKIM</td><td>22AB BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$$
\Gamma(K^+ K^- 2\pi^+) / \Gamma(K^+ K^- \pi^+) \qquad \Gamma_{85}/\Gamma_{47}
$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.160&plusmn;0.027</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>0.150&plusmn;0.019&plusmn;0.025</td><td>240</td><td>LINK</td><td>03D</td><td>FOCS &gamma; A, E<sub>&gamma;</sub> &asymp; 180 GeV</td></tr><tr><td>0.188&plusmn;0.036&plusmn;0.040</td><td>75</td><td>FRABETTI</td><td>97C</td><td>E687 &gamma; Be, E<sub>&gamma;</sub> &asymp; 200 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

$$
\Gamma(\phi 2\pi^+) / \Gamma(\phi \pi^+) \qquad \Gamma_{86}/\Gamma_{48}
$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.269&plusmn;0.027</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>0.249&plusmn;0.024&plusmn;0.021</td><td>136</td><td>LINK</td><td>03D</td><td>FOCS &gamma; A, E<sub>&gamma;</sub> &asymp; 180 GeV</td></tr><tr><td>0.28&plusmn;0.06&plusmn;0.01</td><td>40</td><td>FRABETTI</td><td>97C</td><td>E687 &gamma; Be, E<sub>&gamma;</sub> &asymp; 200 GeV</td></tr><tr><td>0.58&plusmn;0.21&plusmn;0.10</td><td>21</td><td>FRABETTI</td><td>92</td><td>E687 &gamma; Be</td></tr><tr><td>0.42&plusmn;0.13&plusmn;0.07</td><td>19</td><td>ANJOS</td><td>88</td><td>E691 Photoproduction</td></tr><tr><td>1.11&plusmn;0.37&plusmn;0.28</td><td>62</td><td>ALBRECHT</td><td>85D</td><td>ARG e<sup>+</sup>e<sup>-</sup> 10 GeV</td></tr></tbody></table>

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

1 ABLIKIM 21u uses an amplitude analysis of $D_S^+ \to K^+K^-\pi^+\pi^0$ with 9 components.

$$
\Gamma(\phi \rho^+ \pi^+, \phi \to K^+ K^-) / \Gamma(K^- K^- 2\pi^+) \qquad \Gamma_{87}/\Gamma_{85}
$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.75&plusmn;0.06&plusmn;0.04</td><td></td><td></td><td></td><td>LINK 03D FOCS &gamma; A, E<sub>&gamma;</sub> &asymp; 180 GeV</td></tr></tbody></table>
$$
\begin{array}{l}
\Gamma(\phi a_1(1260)^+, \phi \to K^+K^-, a_1^+ \to \rho^0\pi^+) / \Gamma(K^+K^-\pi^+) \qquad \Gamma_{86}/\Gamma_{47} \\
\textbf{VALUE} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
0.137 \pm 0.019 \pm 0.011 \qquad \text{LINK} \qquad 03D \qquad \text{FOCS} \qquad \gamma A, \bar{E}_\gamma \approx 180 \text{ GeV}
\end{array}
$$

$$
\begin{array}{l}
\Gamma(\phi a_1(1260)^+, \phi \to K^+K^-, a_1^+ \to \rho^0\pi^+) / \Gamma(K^+K^-2\pi^+\pi^-) \qquad \Gamma_{86}/\Gamma_{85} \\
\textbf{VALUE} \qquad \textbf{EVTS} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
0.781 \pm 0.029 \pm 0.016 \qquad 235 \qquad \text{ABLIKIM} \qquad 22AB BES3 \qquad e^+ e^- \text{ at } 4.178-4.226 \text{ GeV}
\end{array}
$$

$$
\begin{array}{l}
\Gamma(\phi 2\pi^+\pi^- \text{ non-}\rho, \phi \to K^+K^-) / \Gamma(K^+K^-2\pi^+\pi^-) \qquad \Gamma_{89}/\Gamma_{85} \\
\textbf{VALUE} \qquad \textbf{EVTS} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
0.21 \pm 0.05 \pm 0.06 \qquad \text{LINK} \qquad 03D \qquad \text{FOCS} \qquad \gamma A, \bar{E}_\gamma \approx 180 \text{ GeV}
\end{array}
$$

$$
\begin{array}{l}
\Gamma(K^+K^- \rho^0 \pi^+ \text{ non-}\phi) / \Gamma(K^+K^-2\pi^+\pi^-) \qquad \Gamma_{90}/\Gamma_{85} \\
\textbf{VALUE} \qquad \textbf{CL\%} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
<0.03 \qquad 90 \qquad \text{LINK} \qquad 03D \qquad \text{FOCS} \qquad \gamma A, \bar{E}_\gamma \approx 180 \text{ GeV}
\end{array}
$$

$$
\begin{array}{l}
\Gamma(K^+K^-2\pi^+\pi^- \text{ nonresonant}) / \Gamma(K^+K^-2\pi^+\pi^-) \qquad \Gamma_{91}/\Gamma_{85} \\
\textbf{VALUE} \qquad \textbf{EVTS} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
0.15 \pm 0.06 \text{ OUR AVERAGE} \qquad \text{ABLIKIM} \qquad 22AB BES3 \qquad e^+ e^- \text{ at } 4.178-4.226 \text{ GeV} \\
0.218 \pm 0.029 \pm 0.08 \qquad 235 \qquad \text{LINK} \qquad 03D \qquad \text{FOCS} \qquad \gamma A, \bar{E}_\gamma \approx 180 \text{ GeV}
\end{array}
$$

$$
\begin{array}{l}
\Gamma(2K_S^0 2\pi^+\pi^-) / \Gamma(K_S^0 K^- 2\pi^+) \qquad \Gamma_{92}/\Gamma_{77} \\
\textbf{VALUE} \qquad \textbf{EVTS} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
0.051 \pm 0.015 \pm 0.015 \qquad 37 \pm 10 \qquad \text{LINK} \qquad 04D \qquad \text{FOCS} \qquad \gamma A, \bar{E}_\gamma \approx 180 \text{ GeV}
\end{array}
$$

Pionic modes

$$
\begin{array}{l}
\Gamma(\pi^+\pi^0)/\Gamma_{\text{total}} \qquad \Gamma_{93}/\Gamma \\
\textbf{VALUE} \qquad \textbf{CL\%} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
<1.2 \times 10^{-4} \qquad 90 \qquad \text{GUAN} \qquad 21 \qquad \text{BELL} \qquad e^+ e^- \approx \Gamma(4,5S)
\end{array}
$$

¹ Uses $B(D_S^+ \to \pi^+\phi, \phi \to K^+K^-) = (2.24 \pm 0.08)\%$.

$$
\begin{array}{l}
\Gamma(\pi^+\pi^0)/\Gamma(K^+K_S^0) \qquad \Gamma_{93}/\Gamma_{44} \\
\textbf{VALUE (units $10^{-2}$)} \qquad \textbf{CL\%} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
<2.3 \qquad 90 \qquad \text{MENDEZ} \qquad 10 \qquad \text{CLEO} \qquad e^+ e^- \text{ at } 4170 \text{ MeV}
\end{array}
$$

• • We do not use the following data for averages, fits, limits, etc. • • •
<4.1 90 ADAMS 07A CLEO See MENDEZ 10

$$
\begin{array}{l}
\Gamma(2\pi^+\pi^-)/\Gamma_{\text{total}} \qquad \Gamma_{94}/\Gamma \\
\textbf{VALUE (\%)} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT}
\end{array}
$$

1.08 ± 0.04 OUR FIT

1.11 ± 0.04 ± 0.04 ONYISI 13 CLEO e⁺ e⁻ at 4.17 GeV

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

1.11 ± 0.07 ± 0.04 1 ALEXANDER 08 CLEO See ONYISI 13

¹ALEXANDER 08 uses single- and double-tagged events in an overall fit.

$$
\begin{array}{l}
\Gamma(2\pi^+\pi^-) / \Gamma(K^+K^-\pi^+) \qquad \Gamma_{94}/\Gamma_{47} \\
\textbf{VALUE} \qquad \textbf{EVTS} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
0.201 \pm 0.007 \text{ OUR FIT}
\end{array}
$$

0.199 ± 0.004 ± 0.009

• • • We do not use the following data for averages, fits, limits, etc. • • •
0.265 ± 0.041 ± 0.031 98 FRABETTI 97D E687 γ Be ≈ 200 GeV

$$
\begin{array}{l}
\Gamma(\rho^0\pi^+) / \Gamma(2\pi^+\pi^-) \qquad \Gamma_{95}/\Gamma_{94} \\
\textbf{VALUE (units $10^{-2}$)} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT}
\end{array}
$$

1.04 ± 0.15 OUR AVERAGE

1.038 ± 0.054 ± 0.097 ± 0.11 1 AAIJ 23AN LHCB Dalitz fit, 0.7M events

0.9 ± 0.4 ± 0.5 ABLIKIM 22BI BES3 Dalitz fit, 11.1k events

1.8 ± 0.5 ± 1.0 AUBERT 090 BABR Dalitz fit, ≈ 10.5k evt

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

not seen LINK 04 FOCS Dalitz fit, 1475 ± 50 evt

5.8 ± 2.3 ± 3.7 AITALA 01A E791 Dalitz fit, 848 evt

¹The last error reflects the uncertainty on the amplitude model.

$$
\begin{array}{l}
\Gamma(\omega\pi^+, \omega \to \pi^+\pi^-) / \Gamma(2\pi^+\pi^-) \qquad \Gamma_{111}/\Gamma_{94} \\
\textbf{VALUE (units $10^{-3}$)} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT}
\end{array}
$$

3.60 ± 0.16 ± 0.34 ± 0.16

1 AAIJ 23AN LHCB Dalitz fit, 0.7M events

¹The last error reflects the uncertainty on the amplitude model.

$$
\begin{array}{l}
\Gamma(\pi^+(\pi^+\pi^-)S^-)/\Gamma(2\pi^+\pi^-) \qquad \Gamma_{96}/\Gamma_{94} \\
\textbf{VALUE (units $10^{-2}$)} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
84.7 \pm 0.6 \text{ OUR AVERAGE} \qquad \text{1,2 AAIJ} \qquad 23AN LHCB \qquad \text{Dalitz fit, 0.7M events}
\end{array}
$$

84.97 ± 0.14 ± 0.30 ± 0.63

1,2 AAIJ 23AN LHCB Dalitz fit, 0.7M events

84.2 ± 0.8 ± 1.2

2 ABLIKIM 22BI BES3 Dalitz fit, 11.1k events

83.0 ± 0.9 ± 1.9

² AUBERT 090 BABR Dalitz fit, ≈ 10.5k evt

87.04 ± 5.60 ± 4.38

³ LINK 04 FOCS Dalitz fit, 1475 ± 50 evt

¹The last error reflects the uncertainty due to the amplitude model.

²AAIJ 23AN, ABLIKIM 22BI, and AUBERT 090 give the amplitude and phase of the π⁺π⁻ S-wave in bins of π⁺π⁻ invariant-mass. (50 bins for AAIJ 23AN, 29 for AB- LIKIM 22BI and AUBERT 090.)

³LINK 04 borrows a K-matrix parametrization from ANISOVICH 03 of the full π-π S-wave isoscalar scattering amplitude to describe the π⁺π⁻ S-wave component of the π⁺π⁻π⁻ state. The fit fraction given above is a sum over five f₀ mesons, the f₀(980), f₀(1300), f₀(1200-1600), f₀(1500), and f₀(1750). See LINK 04 for details and discussion.

$$
\begin{array}{l}
\Gamma(f_0(980)\pi^+, f_0 \to \pi^+\pi^-) / \Gamma(2\pi^+\pi^-) \qquad \Gamma_{97}/\Gamma_{94} \\
\text{This is the "fit fraction" from the Dalitz-plot analysis. See above for the full} \\
\pi^+(\pi^+\pi^-)S^-\text{wave fit fraction.}
\end{array}
$$

VALUE DOCUMENT ID TECN COMMENT

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

0.565 ± 0.043 ± 0.047 AITALA 01A E791 Dalitz fit, 848 evt

1.074 ± 0.140 ± 0.043 FRABETTI 97D E687 γ Be ≈ 200 GeV

$$
\begin{array}{l}
\Gamma(f_0(1370)\pi^+, f_0 \to \pi^+\pi^-) / \Gamma(2\pi^+\pi^-) \qquad \Gamma_{98}/\Gamma_{94} \\
\text{This is the "fit fraction" from the Dalitz-plot analysis. See above for the full} \\
\pi^+(\pi^+\pi^-)S^-\text{wave fit fraction.}
\end{array}
$$

VALUE DOCUMENT ID TECN COMMENT

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

0.324 ± 0.077 ± 0.017 AITALA 01A E791 Dalitz fit, 848 evt

$$
\begin{array}{l}
\Gamma(f_0(1500)\pi^+, f_0 \to \pi^+\pi^-) / \Gamma(2\pi^+\pi^-) \qquad \Gamma_{99}/\Gamma_{94} \\
\text{This is the "fit fraction" from the Dalitz-plot analysis. See above for the full} \\
\pi^+(\pi^+\pi^-)S^-\text{wave fit fraction.}
\end{array}
$$

VALUE DOCUMENT ID TECN COMMENT

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

0.274 ± 0.114 ± 0.019 ¹ FRABETTI 97D E687 γ Be ≈ 200 GeV

¹FRABETTI 97D calls this mode S(1475)π⁺, but finds the mass and width of this S(1475) to be in excellent agreement with those of the f₀(1500).

$$
\begin{array}{l}
\Gamma(f_2(1270)\pi^+, f_2 \to \pi^+\pi^-) / \Gamma(2\pi^+\pi^-) \qquad \Gamma_{100}/\Gamma_{94} \\
\text{This is the "fit fraction" from the Dalitz-plot analysis.}
\end{array}
$$

VALUE (units $10^{-2}$) DOCUMENT ID TECN COMMENT

13.0 ± 0.9 OUR AVERAGE Error includes scale factor of 1.9. See the ideogram below.

13.69 ± 0.14 ± 0.22 ± 0.49 1 AAIJ 23AN LHCB Dalitz fit, 0.7M events

10.5 ± 0.8 ± 1.1 ABLIKIM 22BI BES3 Dalitz fit, 11.1k events

10.1 ± 1.5 ± 1.1 AUBERT 090 BABR Dalitz fit, ≈ 10.5k evt

9.74 ± 4.49 ± 2.94 LINK 04 FOCS Dalitz fit, 1475 ± 50 evt

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

19.7 ± 3.3 ± 0.06 AITALA 01A E791 Dalitz fit, 848 evt

12.3 ± 5.6 ± 1.8 FRABETTI 97D E687 γ Be ≈ 200 GeV

¹The last error reflects the uncertainty on the amplitude model.

WEIGHTED AVERAGE
13.0±0.9 (Error scaled by 1.9)

<figure><img src="image_567.png" /></figure>

$\Gamma(f_2(1270)\pi^+, f_2 \to \pi^+\pi^-) / \Gamma(2\pi^+\pi^-)$ (units $10^{-2}$)

$$
\begin{array}{l}
\Gamma(f'_2(1525)^0\pi^+, f'_2 \to \pi^+\pi^-) / \Gamma(2\pi^+\pi^-) \qquad \Gamma_{101}/\Gamma_{94} \\
\textbf{VALUE (units $10^{-4}$)} \qquad \textbf{DOCUMENT ID} \qquad \textbf{TECN} \qquad \textbf{COMMENT} \\
5.28 \pm 0.70 \pm 1.50 \pm 0.87 \qquad 1 AAIJ \qquad 23AN LHCB \qquad \text{Dalitz fit, 0.7M events}
\end{array}
$$

¹The last error reflects the uncertainty on the amplitude model.

$$
\begin{array}{l}
\Gamma(\rho(1450)^0\pi^+, \rho^0 \to \pi^+\pi^-) / \Gamma(2\pi^+\pi^-) \qquad \Gamma_{102}/\Gamma_{94} \\
\text{This is the "fit fraction" from the Dalitz-plot analysis.}
\end{array}
$$

VALUE (units $10^{-2}$) DOCUMENT ID TECN COMMENT

1.7 ± 0.6 OUR AVERAGE

3.86 ± 0.15 ± 0.14 ± 2.0 1 AAIJ 23AN LHCB Dalitz fit, 0.7M events

1.3 ± 0.4 ± 0.5 ABLIKIM 22BI BES3 Dalitz fit, 11.1k events

2.3 ± 0.8 ± 1.7 AUBERT 090 BABR Dalitz fit, ≈ 10.5k evt

6.56 ± 3.43 ± 4.40 LINK 04 FOCS Dalitz fit, 1475 ± 50 evt
# Meson Particle Listings

## $D_s^{\pm}$

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

4.4 ±2.1 ±0.2 AITALA 01A E791 Dalitz fit, 848 evts

¹ The last error reflects the uncertainty on the amplitude model.

$$ \Gamma(\rho(1700)^0\pi^+, \rho^0 \rightarrow \pi^+\pi^-)/\Gamma(2\pi^+\pi^-) \quad \Gamma_{103/\Gamma_{94}} $$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.65±0.50±0.45±3.40</td><td>1 AAIJ</td><td>23AN LHCB</td><td>Dalitz fit, 0.7M events</td></tr></tbody></table>

¹ The last error reflects the uncertainty on the amplitude model.

$$ \Gamma(\pi^+2\pi^0)/\Gamma_{\text{total}} \quad \Gamma_{104/\Gamma} $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.52±0.05 OUR AVERAGE</td><td colspan="4">Error includes scale factor of 1.1.</td></tr><tr><td>0.50±0.04±0.02</td><td>590</td><td>ABLIKIM</td><td>22Z BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr><tr><td>0.65±0.13±0.03</td><td>72 ± 16</td><td>NAIK</td><td>09A CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(f_0(980)\pi^+, f_0 \rightarrow \pi^0\pi^0)/\Gamma(\pi^+2\pi^0) \quad \Gamma_{105/\Gamma_{104}} $$
This is a "fit fraction" from an amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>55.4±6.8±7.3</td><td>ABLIKIM</td><td>22Z BES3</td><td>Dalitz plot fit, 440 evts</td></tr></tbody></table>

$$ \Gamma(f_0(1370)\pi^+, f_0 \rightarrow \pi^0\pi^0)/\Gamma(\pi^+2\pi^0) \quad \Gamma_{106/\Gamma_{104}} $$
This is a "fit fraction" from an amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>25.5±5.1±9.3</td><td>ABLIKIM</td><td>22Z BES3</td><td>Dalitz plot fit, 440 evts</td></tr></tbody></table>

$$ \Gamma(f_2(1270)\pi^+, f_2 \rightarrow \pi^0\pi^0)/\Gamma(\pi^+2\pi^0) \quad \Gamma_{107/\Gamma_{104}} $$
This is a "fit fraction" from an amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>9.7±2.9±6.0</td><td>ABLIKIM</td><td>22Z BES3</td><td>Dalitz plot fit, 440 evts</td></tr></tbody></table>

$$ \Gamma(2\pi^+\pi^-\pi^0)/\Gamma(\phi\pi^+) \quad \Gamma_{108/\Gamma_{48}} $$

<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;3.3</td><td>90</td><td>ANJOS</td><td>89E E691</td><td>Photoproduction</td></tr></tbody></table>

$$ \Gamma(\eta\pi^+)/\Gamma_{\text{total}} \quad \Gamma_{109/\Gamma} $$
Unseen decay modes of the $\eta$ are included.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.67±0.09 OUR FIT</td><td colspan="4">Error includes scale factor of 1.1.</td></tr></tbody></table>

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.71±0.08 OUR AVERAGE</td><td colspan="4">Error includes scale factor of 1.1.</td></tr><tr><td>1.67±0.08±0.06</td><td>ONYISI</td><td>13</td><td>CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr><tr><td>1.82±0.14±0.07</td><td>0.8k</td><td>ZUPANC</td><td>13</td><td>BELL</td><td>e<sup>+</sup>e<sup>-</sup> at T(4S), T(5S)</td></tr></tbody></table>

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.58±0.11±0.18</td><td>1 ALEXANDER</td><td>08</td><td>CLEO</td><td>See ONYISI 13</td></tr></tbody></table>

¹ ALEXANDER 08 uses single- and double-tagged events in an overall fit.

$$ \Gamma(\eta\pi^+)/\Gamma(K^+K_5^0) \quad \Gamma_{109/\Gamma_{44}} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.15 ±0.07 OUR FIT</td><td colspan="4">Error includes scale factor of 1.1.</td></tr></tbody></table>

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.236±0.043±0.063</td><td>2587 ± 89</td><td>MENDEZ</td><td>10</td><td>CLEO See ONYISI 13</td></tr></tbody></table>

$$ \Gamma(\eta\pi^+)/\Gamma(K^+K^-\pi^+) \quad \Gamma_{109/\Gamma_{47}} $$

<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>31.94±0.33±0.49</td><td>19.5k</td><td>ABLIKIM</td><td>20R BES3</td><td>e<sup>+</sup>e<sup>-</sup>, 4178 ~ 4226 MeV</td></tr></tbody></table>

$$ \Gamma(\eta\pi^+)/\Gamma(\phi\pi^+) \quad \Gamma_{109/\Gamma_{48}} $$

Unseen decay modes of the resonances are included.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.48±0.03±0.04</td><td>920</td><td>JESSOP</td><td>98</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>0.54±0.09±0.06</td><td>165</td><td>ALEXANDER</td><td>92</td><td>CLE2 See JESSOP 98</td></tr></tbody></table>

$$ \Gamma(\eta\pi^+)/\Gamma(\phi\pi^+, \phi \rightarrow K^+K^-) \quad \Gamma_{109/\Gamma_{49}} $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>84.80±0.47±2.64</td><td>22k</td><td>GUAN</td><td>21</td><td>BELL e<sup>+</sup>e<sup>-</sup> ≈ T(4,5S)</td></tr></tbody></table>

$$ \Gamma(\omega\pi^+)/\Gamma_{\text{total}} \quad \Gamma_{110/\Gamma} $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.192±0.030 OUR FIT</td><td colspan="4"></td></tr><tr><td>0.181±0.032 OUR AVERAGE</td><td colspan="4"></td></tr><tr><td>0.177±0.032±0.013</td><td>65 ± 12</td><td>ABLIKIM</td><td>19AH BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178 GeV</td></tr><tr><td>0.21 ± 0.09 ± 0.01</td><td>6 ± 2.4</td><td>GE</td><td>09A CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(\omega\pi^+)/\Gamma(\eta\pi^+) \quad \Gamma_{110/\Gamma_{109}} $$

Unseen decay modes of the resonances are included.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.115±0.018 OUR FIT</td><td colspan="4"></td></tr><tr><td>0.16 ± 0.04 ± 0.03</td><td>BALEST</td><td>97</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td><td></td></tr></tbody></table>

$$ \Gamma(3\pi^+2\pi^-)/\Gamma(K^+K^-\pi^+) \quad \Gamma_{112/\Gamma_{47}} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.146±0.014 OUR AVERAGE</td><td colspan="4">0.671</td></tr><tr><td>0.158±0.042±0.031</td><td>37</td><td>LINK</td><td>03D FOCS</td><td>γA, E<sub>γ</sub> ≈ 180 GeV</td></tr><tr><td></td><td></td><td>FRABETTI</td><td>97C E687</td><td>γBe, E<sub>γ</sub> ≈ 200 GeV</td></tr></tbody></table>

$$ \Gamma(\eta\rho^+)/\Gamma_{\text{total}} \quad \Gamma_{114/\Gamma} $$

Unseen decay modes of the $\eta$ are included.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>8.9±0.6±0.5</td><td>328 ± 22</td><td>NAIK</td><td>09A CLEO</td><td>η → 2γ</td></tr></tbody></table>

$$ \Gamma(\eta\rho^+)/\Gamma(\phi\pi^+) \quad \Gamma_{114/\Gamma_{48}} $$

Unseen decay modes of the resonances are included.

<table><thead><tr><th>VALUE</th><th>EVTS</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><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.98±0.20±0.39</td><td>447</td><td>JESSOP</td><td>98</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>2.86±0.38<sup>+0.36</sup><sub>-0.38</sub></td><td>217</td><td>AVERY</td><td>92</td><td>CLE2 See JESSOP 98</td></tr></tbody></table>

$$ \Gamma(\eta\rho^+)/\Gamma(\eta\pi^+\pi^0) \quad \Gamma_{114/\Gamma_{115}} $$

<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>78.3±5.0±2.1</td><td>1.2k</td><td>ABLIKIM</td><td>19BE BES3</td><td>ηπ<sup>+</sup>π<sup>0</sup> amplitude analysis</td></tr></tbody></table>

$$ \Gamma(\eta\pi^+\pi^0)/\Gamma_{\text{total}} \quad \Gamma_{115/\Gamma} $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>9.5 ± 0.5 OUR AVERAGE</td><td colspan="4">2.6k</td></tr><tr><td>9.50±0.28±0.41</td><td>ABLIKIM</td><td>19BE BES3</td><td></td><td>e<sup>+</sup>e<sup>-</sup> at 4.178 GeV</td></tr><tr><td>9.2 ± 0.4 ± 1.1</td><td>ONYISI</td><td>13</td><td>CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

$$ \Gamma(\eta(\pi^+\pi^0) P_{\text{wave}})/\Gamma(\eta\pi^+\pi^0) \quad \Gamma_{116/\Gamma_{115}} $$

<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>5.4±2.1±2.5</td><td>1.2k</td><td>ABLIKIM</td><td>19BE BES3</td><td>ηπ<sup>+</sup>π<sup>0</sup> amplitude analysis</td></tr></tbody></table>

$$ \Gamma(a_0(980)^+\pi^0, a_0(980)^+ \rightarrow \eta\pi^+\pi^0)/\Gamma(\eta\pi^+\pi^0) \quad \Gamma_{117/\Gamma_{115}} $$

<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>23.2±2.3±3.3</td><td>1.2k</td><td>1 ABLIKIM</td><td>19BE BES3</td><td>ηπ<sup>+</sup>π<sup>0</sup> amplitude analysis</td></tr></tbody></table>

¹ Coherent sum of $D_S^+ \rightarrow a_0^+\pi^0 \rightarrow \eta\pi^+\pi^0$ and $D_S^+ \rightarrow a_0^+\pi^+ \rightarrow \eta\pi^+\pi^0$. ABLIKIM 19BE find $a_0(980)^0 \rightarrow \gamma(980)$ mixing effects negligibly small in this $D_S^+ \rightarrow \eta\pi^+\pi^0$ Dalitz plot analysis.

$$ \Gamma(\omega\pi^+\pi^0)/\Gamma_{\text{total}} \quad \Gamma_{118/\Gamma} $$

Unseen decay modes of the $\omega$ are included.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.78±0.65±0.25</td><td>34 ± 7.9</td><td>GE</td><td>09A CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(2\pi^+\pi^-\eta)/\Gamma_{\text{total}} \quad \Gamma_{119/\Gamma} $$

<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>3.12±0.13±0.09</td><td>2.1k</td><td>ABLIKIM</td><td>21AR BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$$ \Gamma(a_1(1260)^+\eta, a_1^+ \rightarrow \rho(770)^0\pi^+, \rho^0 \rightarrow \pi^+\pi^-)/\Gamma(2\pi^+\pi^-\eta) \quad \Gamma_{120/\Gamma_{119}} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>55.4±3.9±2.0</td><td>1 ABLIKIM</td><td>21AR BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$1 D_S^+ \rightarrow 2\pi^+\pi^-\eta$ amplitude analysis with 11 components.

$$ \Gamma(a_1(1260)^+\eta, a_1^+ \rightarrow f_0(500)\pi^+, f_0 \rightarrow \pi^+\pi^-)/\Gamma(2\pi^+\pi^-\eta) \quad \Gamma_{121/\Gamma_{119}} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>8.1±1.9±2.1</td><td>1 ABLIKIM</td><td>21AR BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$1 D_S^+ \rightarrow 2\pi^+\pi^-\eta$ amplitude analysis with 11 components.

$$ \Gamma(a_0(980)^+\rho(770)^0, a_0^+ \rightarrow \eta\pi^+)/\Gamma(2\pi^+\pi^-\eta) \quad \Gamma_{122/\Gamma_{119}} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>6.7±2.5±1.5</td><td>1 ABLIKIM</td><td>21AR BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$1 D_S^+ \rightarrow 2\pi^+\pi^-\eta$ amplitude analysis with 11 components.

$$ \Gamma(\eta(1405)\pi^+, \eta(1405) \rightarrow a_0(980)^-\pi^+, a_0^- \rightarrow \eta\pi^-)/\Gamma(2\pi^+\pi^-\eta) \quad \Gamma_{123/\Gamma_{119}} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.7±0.2±0.1</td><td>1 ABLIKIM</td><td>21AR BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$1 D_S^+ \rightarrow 2\pi^+\pi^-\eta$ amplitude analysis with 11 components.

$$ \Gamma(\eta(1405)\pi^+, \eta(1405) \rightarrow a_0(980)^-\pi^-, a_0^- \rightarrow \eta\pi^-)/\Gamma(2\pi^+\pi^-\eta) \quad \Gamma_{124/\Gamma_{119}} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.7±0.2±0.1</td><td>1 ABLIKIM</td><td>21AR BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$1 D_S^+ \rightarrow 2\pi^+\pi^-\eta$ amplitude analysis with 11 components.
$$ \Gamma(f_1(1420)\pi^+, f_1 \to a_0(980)^-\pi^+, a_0^- \to \eta\pi^-)/\Gamma(2\pi^+\pi^-\eta) \quad \Gamma_{125}/\Gamma_{119} $$

$$ \text{VALUE (units } 10^{-2}) \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 1.9 \pm 0.5 \pm 0.3 \\ \qquad 1 \text{ ABLIKIM} \quad 21\text{AR BES3} \quad e^+ e^- \text{ at } 4.178-4.226 \text{ GeV} \end{array} $$

$1 D_s^+ \to 2\pi^+\pi^-\eta$ amplitude analysis with 11 components.

$$ \Gamma(f_1(1420)\pi^+, f_1 \to a_0(980)^+\pi^-, a_0^+ \to \eta\pi^+)/\Gamma(2\pi^+\pi^-\eta) \quad \Gamma_{126}/\Gamma_{119} $$

$$ \text{VALUE (units } 10^{-2}) \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 1.7 \pm 0.5 \pm 0.3 \\ \qquad 1 \text{ ABLIKIM} \quad 21\text{AR BES3} \quad e^+ e^- \text{ at } 4.178-4.226 \text{ GeV} \end{array} $$

$1 D_s^+ \to 2\pi^+\pi^-\eta$ amplitude analysis with 11 components.

$$ \Gamma(3\pi^+ 2\pi^- \pi^0)/\Gamma_{\text{total}} \quad \Gamma_{127}/\Gamma $$

$$ \text{VALUE} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 0.049 \pm 0.033 \\ \qquad 0.030 \end{array} \quad \text{BARLAG} \quad 92\text{C} \quad \pi^- 230 \text{ GeV} $$

$$ \Gamma(\omega 2\pi^+ \pi^-)/\Gamma_{\text{total}} \quad \Gamma_{128}/\Gamma $$

Unseen decay modes of the $\omega$ are included.

$$ \text{VALUE (\%)} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 1.58 \pm 0.45 \pm 0.09 \\ \qquad 29 \pm 8.2 \end{array} \quad \text{GE} \quad 09\text{A} \quad \text{CLEO} \quad e^+ e^- \text{ at } 4170 \text{ MeV} $$

$$ \Gamma(\eta'(958)\pi^+)/\Gamma_{\text{total}} \quad \Gamma_{129}/\Gamma $$

Unseen decay modes of the $\eta'(958)$ are included.

$$ \text{VALUE (\%)} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 3.94 \pm 0.15 \pm 0.20 \\ \qquad 13 \text{ ONYISI} \quad 13 \quad \text{CLEO} \quad e^+ e^- \text{ at } 4.17 \text{ GeV} \end{array} $$

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

$$ \begin{array}{l} 3.77 \pm 0.25 \pm 0.30 \\ \qquad 1 \text{ ALEXANDER} \quad 08 \quad \text{CLEO} \quad \text{See ONYISI 13} \end{array} $$

$1$ ALEXANDER 08 uses single- and double-tagged events in an overall fit.

$$ \Gamma(\eta'(958)\pi^+)/\Gamma(K^+ K_0^S) \quad \Gamma_{129}/\Gamma_{44} $$

Unseen decay modes of the $\eta'(958)$ are included.

$$ \text{VALUE (\%)} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

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

$$ \begin{array}{l} 2.654 \pm 0.088 \pm 0.139 \\ \qquad 1436 \pm 47 \end{array} \quad \text{MENDEZ} \quad 10 \quad \text{CLEO} \quad \text{See ONYISI 13} $$

$$ \Gamma(\eta'(958)\pi^+)/\Gamma(K^+ K^- \pi^+) \quad \Gamma_{129}/\Gamma_{47} $$

$$ \text{VALUE (units } 10^{-2}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 69.4 \pm 0.8 \pm 3.8 \\ \qquad 9.9k \end{array} \quad \text{ABLIKIM} \quad 20\text{R} \quad \text{BES3} \quad e^+ e^- \text{, } 4178 \sim 4226 \text{ MeV} $$

$$ \Gamma(\eta'(958)\pi^+)/\Gamma(\phi\pi^+) \quad \Gamma_{129}/\Gamma_{48} $$

Unseen decay modes of the resonances are included.

$$ \text{VALUE (\%)} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

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

$$ \begin{array}{l} 1.03 \pm 0.06 \pm 0.07 \\ \qquad 537 \quad \text{JESSOP} \quad 98 \quad \text{CLE2} \quad e^+ e^- \approx \Upsilon(4S) \end{array} $$

$$ \begin{array}{l} 1.20 \pm 0.15 \pm 0.11 \\ \qquad 281 \quad \text{ALEXANDER} \quad 92 \quad \text{CLE2} \quad \text{See JESSOP 98} \end{array} $$

$$ \begin{array}{l} 2.5 \pm 1.0 \pm 1.5 \\ \qquad 0.4 \\ \qquad 22 \quad \text{ALVAREZ} \quad 91 \quad \text{NA14} \quad \text{Photoproduction} \end{array} $$

$$ \begin{array}{l} 2.5 \pm 0.5 \pm 0.3 \\ \qquad 215 \quad \text{ALBRECHT} \quad 90\text{D} \quad \text{ARG} \quad e^+ e^- \approx 10.4 \text{ GeV} \end{array} $$

$$ \Gamma(\omega\eta\pi^+)/\Gamma_{\text{total}} \quad \Gamma_{131}/\Gamma $$

Unseen decay modes of the $\omega$ and $\eta$ are included.

$$ \text{VALUE (units } 10^{-3}) \quad \text{CL%} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 5.4 \pm 1.2 \pm 0.4 \\ \qquad 78 \quad \text{ABLIKIM} \quad 23\text{AL BES3} \quad e^+ e^- \text{ at } 4.128-4.226 \text{ GeV} \end{array} $$

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

$$ \begin{array}{l} <21.3 \quad 90 \quad \text{GE} \quad 09\text{A} \quad \text{CLEO} \quad e^+ e^- \text{ at } 4170 \text{ MeV} \end{array} $$

$$ \Gamma(\eta'(958)\rho^+)/\Gamma_{\text{total}} \quad \Gamma_{132}/\Gamma $$

$$ \text{VALUE (\%)} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 5.8 \pm 1.4 \pm 0.4 \\ \qquad 15z \quad \text{BES3} \quad 482 \text{ pb}^{-1}, 4009 \text{ MeV} \end{array} $$

$$ \Gamma(\eta'(958)\rho^+)/\Gamma(\phi\pi^+) \quad \Gamma_{132}/\Gamma_{48} $$

Unseen decay modes of the resonances are included.

$$ \text{VALUE (\%)} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

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

$$ \begin{array}{l} 2.78 \pm 0.28 \pm 0.30 \\ \qquad 137 \quad 1 \text{ JESSOP} \quad 98 \quad \text{CLE2} \quad e^+ e^- \approx \Upsilon(4S) \end{array} $$

$$ \begin{array}{l} 3.44 \pm 0.62 \pm 0.44 \\ \qquad 68 \quad \text{AVERY} \quad 92 \quad \text{CLE2} \quad \text{See JESSOP 98} \end{array} $$

$1$ This JESSOP 98 fraction, when combined with other $\eta'$ fractions, greatly overshoots the inclusive $\eta'$ fraction. See the measurement just above, which fits nicely.

$$ \Gamma(\eta'(958)\rho^+)/\Gamma(\eta'(958)\pi^+\pi^0) \quad \Gamma_{132}/\Gamma_{133} $$

$$ \text{VALUE (\%)} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

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

$$ \approx 1 \quad 395 \quad 1 \text{ ABLIKIM} \quad 22\text{AA BES3} \quad e^+ e^- \text{ at } 4.178-4.226 \text{ GeV} $$

$1$ Result of an amplitude analysis of $D_s^+ \to \pi^+\pi^0\eta'$ which found that $D_s^+ \to \rho^+\eta'$ is the dominant decay mode, with other contributions negligible. No uncertainty is assigned to this 100% fit fraction; however, the fit fractions of non-resonant contributions are shown to be below 1%.

$$ \Gamma(\eta'(958)\pi^+\pi^0)/\Gamma_{\text{total}} \quad \Gamma_{133}/\Gamma $$

$$ \text{VALUE (\%)} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 6.08 \pm 0.29 \text{ OUR AVERAGE} \\ \qquad 6.15 \pm 0.25 \pm 0.18 \\ \qquad 837 \quad 1 \text{ ABLIKIM} \quad 22\text{AA BES3} \quad e^+ e^- \text{ at } 4.178-4.226 \text{ GeV} \end{array} $$

$$ \begin{array}{l} 5.6 \pm 0.5 \pm 0.6 \\ \qquad 13 \quad \text{CLEO} \quad e^+ e^- \text{ at } 4170 \text{ GeV} \end{array} $$

$1$ An amplitude analysis in the same publication finds that $D_s^+ \to \rho^+\eta'$ is the only statistically significant contribution to this decay.

$$ \Gamma(\eta'(958)\pi^+\pi^0 \text{ nonresonant})/\Gamma_{\text{total}} \quad \Gamma_{134}/\Gamma $$

$$ \text{VALUE} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ <5.1 \times 10^{-2} \quad 90 \quad \text{ABLIKIM} \quad 15z \quad \text{BES3} \quad 482 \text{ pb}^{-1}, 4009 \text{ MeV} $$

### Modes with one or three K's

$$ \Gamma(K^+\pi^0)/\Gamma(K^+ K_0^S) \quad \Gamma_{135}/\Gamma_{44} $$

$$ \text{VALUE (units } 10^{-2}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 4.2 \pm 1.4 \pm 0.2 \\ \qquad 202 \pm 70 \end{array} \quad \text{MENDEZ} \quad 10 \quad \text{CLEO} \quad e^+ e^- \text{ at } 4170 \text{ MeV} $$

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

$$ \begin{array}{l} 5.5 \pm 1.3 \pm 0.7 \\ \qquad 141 \pm 34 \quad \text{ADAMS} \quad 07\text{A} \quad \text{CLEO} \quad \text{See MENDEZ 10} \end{array} $$

$$ \Gamma(K^+\pi^0)/\Gamma(K^+ K^-\pi^+) \quad \Gamma_{135}/\Gamma_{47} $$

$$ \text{VALUE (units } 10^{-3}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 13.73 \pm 0.90 \pm 0.33 \\ \qquad 2.3k \end{array} \quad \text{ABLIKIM} \quad 20\text{R} \quad \text{BES3} \quad e^+ e^- \text{, } 4178 \sim 4226 \text{ MeV} $$

$$ \Gamma(K^+\pi^0)/\Gamma(\phi\pi^+, \phi \to K^+ K^-) \quad \Gamma_{135}/\Gamma_{49} $$

$$ \text{VALUE (\%)} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 3.28 \pm 0.23 \pm 0.13 \\ \qquad 12k \end{array} \quad \text{GUAN} \quad 21 \quad \text{BELL} \quad e^+ e^- \approx \Upsilon(4,5S) $$

$$ \Gamma(K_0^S\pi^+)/\Gamma(K^+ K_0^S) \quad \Gamma_{136}/\Gamma_{44} $$

$$ \text{VALUE (units } 10^{-2}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 8.12 \pm 0.28 \text{ OUR AVERAGE} \\ \qquad 8.5 \pm 0.7 \pm 0.2 \quad 393 \pm 33 \end{array} \quad \text{MENDEZ} \quad 10 \quad \text{CLEO} \quad e^+ e^- \text{ at } 4170 \text{ MeV} $$

$$ \begin{array}{l} 8.03 \pm 0.24 \pm 0.19 \\ \qquad 17.6k \pm 481 \end{array} \quad \text{WON} \quad 09 \quad \text{BELL} \quad e^+ e^- \text{ at } \Upsilon(4S) $$

$$ \begin{array}{l} 10.4 \pm 2.4 \pm 1.4 \\ \qquad 113 \pm 26 \end{array} \quad \text{LINK} \quad 08 \quad \text{FOCS} \quad \gamma A, \tilde{E}, \gamma \approx 180 \text{ GeV} $$

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

$$ \begin{array}{l} 8.2 \pm 0.9 \pm 0.2 \\ \qquad 206 \pm 22 \quad \text{ADAMS} \quad 07\text{A} \quad \text{CLEO} \quad \text{See MENDEZ 10} \end{array} $$

$$ \Gamma(K_0^S\pi^+)/\Gamma(K^+ K^-\pi^+) \quad \Gamma_{136}/\Gamma_{47} $$

$$ \text{VALUE (units } 10^{-3}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 20.35 \pm 0.62 \pm 0.42 \\ \qquad 2.7k \end{array} \quad \text{ABLIKIM} \quad 20\text{R} \quad \text{BES3} \quad e^+ e^- \text{, } 4178 \sim 4226 \text{ MeV} $$

$$ \Gamma(K^+\eta)/\Gamma(K^+ K_0^S) \quad \Gamma_{137}/\Gamma_{44} $$

Unseen decay modes of the $\eta$ are included.

$$ \text{VALUE (units } 10^{-2}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 11.8 \pm 2.2 \pm 0.6 \\ \qquad 222 \pm 41 \end{array} \quad \text{MENDEZ} \quad 10 \quad \text{CLEO} \quad e^+ e^- \text{ at } 4170 \text{ MeV} $$

$$ \Gamma(K^+\eta)/\Gamma(K^+ K^-\pi^+) \quad \Gamma_{137}/\Gamma_{47} $$

$$ \text{VALUE (units } 10^{-2}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 2.97 \pm 0.18 \pm 0.06 \\ \qquad 1.8k \end{array} \quad \text{ABLIKIM} \quad 20\text{R} \quad \text{BES3} \quad e^+ e^- \text{, } 4178 \sim 4226 \text{ MeV} $$

$$ \Gamma(K^+\eta)/\Gamma(\phi\pi^+, \phi \to K^+ K^-) \quad \Gamma_{137}/\Gamma_{49} $$

$$ \text{VALUE (\%)} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 7.81 \pm 0.22 \pm 0.24 \\ \qquad 14k \end{array} \quad \text{GUAN} \quad 21 \quad \text{BELL} \quad e^+ e^- \approx \Upsilon(4,5S) $$

$$ \Gamma(K^+\eta)/\Gamma(\eta\pi^+) \quad \Gamma_{137}/\Gamma_{109} $$

$$ \text{VALUE (units } 10^{-2}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

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

$$ \begin{array}{l} 8.9 \pm 1.5 \pm 0.4 \\ \qquad 113 \pm 18 \quad \text{ADAMS} \quad 07\text{A} \quad \text{CLEO} \quad \text{See MENDEZ 10} \end{array} $$

$$ \Gamma(K^+\omega)/\Gamma_{\text{total}} \quad \Gamma_{138}/\Gamma $$

Unseen decay modes of the $\omega$ are included.

$$ \text{VALUE (units } 10^{-4}) \quad \text{CL%} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 9.9 \pm 1.5 \text{ OUR FIT} \\ \qquad 8.7 \pm 2.4 \pm 0.8 \end{array} \quad 29 \quad 1 \text{ ABLIKIM} \quad 19\text{AH BES3} \quad e^+ e^- \text{ at } 4.178 \text{ GeV} $$

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

$$ \begin{array}{l} <24 \quad 90 \quad \text{GE} \quad 09\text{A} \quad \text{CLEO} \quad e^+ e^- \text{ at } 4170 \text{ MeV} \end{array} $$

$$ \begin{array}{l} <24 \quad 90 \quad \text{GE} \quad 09\text{A} \quad \text{CLEO} \quad e^+ e^- \text{ at } 4170 \text{ MeV} \end{array} $$

$1$ Evidence for mode at $4.4\sigma$.

$$ \Gamma(K^+\omega)/\Gamma(K^+\pi^+\pi^0) \quad \Gamma_{138}/\Gamma_{158} $$

$$ \text{VALUE (\%)} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 10.3 \pm 1.5 \text{ OUR FIT} \\ \qquad 10.9 \pm 1.8 \pm 0.1 \end{array} \quad 1 \text{ ABLIKIM} \quad 22\text{BL BES3} \quad \text{PWA, } 550 D_s^{\pm} \to K^{\pm}\pi^{\pm}\pi^{0} $$

$$ \begin{array}{l} 1 \text{ ABLIKIM} \quad 22\text{BL BES3} \quad \text{PWA, } 550 D_s^{\pm} \to K^{\pm}\pi^{\pm}\pi^{0} \\ \qquad \times [B(\omega(782) \to \pi^+\pi^-\pi^0)] = (9.7 \pm 1.5 \pm 0.6) \times 10^{-2} \text{ which we divide by our best value } B(\omega(782) \to \pi^+\pi^-\pi^0) = (89.2 \pm 0.7) \times 10^{-2}. \text{ Our first error is their experiment's error and our second error is the systematic error from using our best value.} \end{array} $$

$$ \Gamma(K^+\eta'(958))/\Gamma(K^+ K_0^S) \quad \Gamma_{139}/\Gamma_{44} $$

Unseen decay modes of the $\eta'(958)$ are included.

$$ \text{VALUE (units } 10^{-2}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 11.8 \pm 3.6 \pm 0.7 \\ \qquad 56 \pm 17 \quad \text{MENDEZ} \quad 10 \quad \text{CLEO} \quad e^+ e^- \text{ at } 4170 \text{ MeV} \end{array} $$

$$ \Gamma(K^+\eta'(958))/\Gamma(K^+ K^-\pi^+) \quad \Gamma_{139}/\Gamma_{47} $$

$$ \text{VALUE (\%)} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} $$

$$ \begin{array}{l} 4.91 \pm 0.31 \pm 0.31 \\ \qquad 675 \quad \text{ABLIKIM} \quad 20\text{R} \quad \text{BES3} \quad e^+ e^- \text{, } 4178 \sim 4226 \text{ MeV} \end{array} $$
# Meson Particle Listings

## D<sub>S</sub><sup>±</sup>

$$ \Gamma(K^{+} \eta'(958))/\Gamma(\eta'(958) \pi^{+}) \qquad \Gamma_{139}/\Gamma_{129} $$

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

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

4.2±1.3±0.3 28 ± 9 ADAMS 07A CLEO See MENDEZ 10

$$ \Gamma(K^{+} \pi^{+} \pi^{-})/\Gamma_{\text{total}} \qquad \Gamma_{140}/\Gamma $$

VALUE (units 10<sup>-3</sup>) EVTS DOCUMENT ID TECN COMMENT

6.20±0.19 OUR FIT

6.20±0.19 OUR AVERAGE

6.11±0.18±0.11 1.3k ABLIKIM 22AC BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV

6.54±0.33±0.25 ONYISI 13 CLEO e<sup>+</sup>e<sup>-</sup> at 4.17 GeV

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

6.9 ± 0.5 ± 0.3 1 ALEXANDER 08 CLEO See ONYISI 13

¹ ALEXANDER 08 uses single- and double-tagged events in an overall fit.

$$ \Gamma(K^{+} \pi^{+} \pi^{-})/\Gamma(K^{+} K^{-} \pi^{+}) \qquad \Gamma_{140}/\Gamma_{47} $$

VALUE EVTS DOCUMENT ID TECN COMMENT

0.115±0.004 OUR FIT Error includes scale factor of 1.1.

0.127±0.007±0.014 567 ± 31 LINK 04F FOCS γ A, E<sub>γ</sub> ≈ 180 GeV

$$ \Gamma(K^{+} \rho^{0})/\Gamma(K^{+} \pi^{+} \pi^{-}) \qquad \Gamma_{141}/\Gamma_{140} $$

This is the "fit fraction" from the Dalitz-plot analysis.

VALUE DOCUMENT ID TECN COMMENT

0.35 ± 0.04 OUR AVERAGE

0.321±0.037±0.037 ABLIKIM 22AC BES3 Dalitz plot fit, 1.3k evts

0.388±0.053±0.026 LINK 04F FOCS Dalitz plot fit, 567 evts

$$ \Gamma(K^{+} \rho(1450)^{0}, \rho^{0} \rightarrow \pi^{+} \pi^{-})/\Gamma(K^{+} \pi^{+} \pi^{-}) \qquad \Gamma_{142}/\Gamma_{140} $$

This is the "fit fraction" from the Dalitz-plot analysis.

VALUE DOCUMENT ID TECN COMMENT

0.117±0.028 OUR AVERAGE

0.131±0.031±0.029 ABLIKIM 22AC BES3 Dalitz plot fit, 1.3k evts

0.106±0.035±0.010 LINK 04F FOCS Dalitz plot fit, 567 evts

$$ \Gamma(K^{+} f_{0}(500), f_{0} \rightarrow \pi^{+} \pi^{-})/\Gamma(K^{+} \pi^{+} \pi^{-}) \qquad \Gamma_{143}/\Gamma_{140} $$

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

7.2±2.1±4.4

$$ \Gamma(K^{+} f_{0}(980), f_{0} \rightarrow \pi^{+} \pi^{-})/\Gamma(K^{+} \pi^{+} \pi^{-}) \qquad \Gamma_{144}/\Gamma_{140} $$

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

4.5±1.3±1.2 ABLIKIM 22AC BES3 Dalitz plot fit, 1.3k evts

$$ \Gamma(K^{+} f_{0}(1370), f_{0} \rightarrow \pi^{+} \pi^{-})/\Gamma(K^{+} \pi^{+} \pi^{-}) \qquad \Gamma_{145}/\Gamma_{140} $$

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

19.9±2.9±9.3

$$ \Gamma(K^{*}(892)^{0} \pi^{+}, K^{*0} \rightarrow K^{+} \pi^{-})/\Gamma(K^{+} \pi^{+} \pi^{-}) \qquad \Gamma_{146}/\Gamma_{140} $$

This is the "fit fraction" from the Dalitz-plot analysis.

VALUE DOCUMENT ID TECN COMMENT

0.27 ± 0.04 OUR AVERAGE Error includes scale factor of 2.0.

0.302 ± 0.018 ± 0.020 ABLIKIM 22AC BES3 Dalitz plot fit, 1.3k evts

0.2164±0.0321±0.0114 LINK 04F FOCS Dalitz plot fit, 567 evts

$$ \Gamma(K^{*}(1410)^{0} \pi^{+}, K^{*0} \rightarrow K^{+} \pi^{-})/\Gamma(K^{+} \pi^{+} \pi^{-}) \qquad \Gamma_{147}/\Gamma_{140} $$

This is the "fit fraction" from the Dalitz-plot analysis.

VALUE DOCUMENT ID TECN COMMENT

0.10 ± 0.07 OUR AVERAGE Error includes scale factor of 2.7.

0.045 ± 0.021 ± 0.025 ABLIKIM 22AC BES3 Dalitz plot fit, 1.3k evts

0.1882±0.0403±0.0122 LINK 04F FOCS Dalitz plot fit, 567 evts

$$ \Gamma(K^{*}(1430)^{0} \pi^{+}, K^{*0} \rightarrow K^{+} \pi^{-})/\Gamma(K^{+} \pi^{+} \pi^{-}) \qquad \Gamma_{148}/\Gamma_{140} $$

This is the "fit fraction" from the Dalitz-plot analysis.

VALUE DOCUMENT ID TECN COMMENT

0.15 ± 0.05 OUR AVERAGE Error includes scale factor of 1.7.

0.185 ± 0.025 ± 0.026 ABLIKIM 22AC BES3 Dalitz plot fit, 1.3k evts

0.0765±0.0500±0.0170 LINK 04F FOCS Dalitz plot fit, 567 evts

$$ \Gamma(K^{+} \pi^{+} \pi^{-} \text{ nonresonant})/\Gamma(K^{+} \pi^{+} \pi^{-}) \qquad \Gamma_{149}/\Gamma_{140} $$

This is the "fit fraction" from the Dalitz-plot analysis.

VALUE DOCUMENT ID TECN COMMENT

0.1588±0.0492±0.0153 LINK 04F FOCS Dalitz fit, 567 evts

$$ \Gamma(K_{S}^{0} \pi^{+} \pi^{-})/\Gamma_{\text{total}} \qquad \Gamma_{151}/\Gamma $$

VALUE (units 10<sup>-3</sup>) EVTS DOCUMENT ID TECN COMMENT

5.38±0.32 OUR AVERAGE

5.43±0.30±0.15 666 1 ABLIKIM 21AB BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV

5.0 ± 0.9 ± 0.2 44 2 NAIK 09A CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV

¹ ABLIKIM 21AB uses an amplitude analysis with 5 resonant modes plus one background component.

² NAIK 09A reports B(D<sup>+</sup><sub>S</sub> → K<sup>0</sup>π<sup>+</sup>π<sup>-</sup>) = (1.00 ± 0.18 ± 0.04) × 10<sup>-2</sup> which we have divided by 2.

$$ \Gamma(K_{S}^{0} \rho(770)^{0}, \rho^{+} \rightarrow \pi^{+} \pi^{0})/\Gamma(K_{S}^{0} \pi^{+} \pi^{0}) \qquad \Gamma_{152}/\Gamma_{151} $$

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

50.2±7.2±3.9 666 1 ABLIKIM 21AB BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV

¹ ABLIKIM 21AB uses an amplitude analysis with 5 resonant modes plus one background component.

$$ \Gamma(K_{S}^{0} \rho(1450)^{+}, \rho^{+} \rightarrow \pi^{+} \pi^{0})/\Gamma(K_{S}^{0} \pi^{+} \pi^{0}) \qquad \Gamma_{153}/\Gamma_{151} $$

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

20.4±4.3±4.4 666 1 ABLIKIM 21AB BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV

¹ ABLIKIM 21AB uses an amplitude analysis with 5 resonant modes plus one background component.

$$ \Gamma(K^{*}(892)^{0} \pi^{+}, K^{*0} \rightarrow K_{S}^{0} \pi^{+})/\Gamma(K_{S}^{0} \pi^{+} \pi^{0}) \qquad \Gamma_{154}/\Gamma_{151} $$

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

8.4±2.2±0.9 666 1 ABLIKIM 21AB BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV

¹ ABLIKIM 21AB uses an amplitude analysis with 5 resonant modes plus one background component.

$$ \Gamma(K^{*}(892)^{+} \pi^{0}, K^{*+} \rightarrow K_{S}^{0} \pi^{+})/\Gamma(K_{S}^{0} \pi^{+} \pi^{0}) \qquad \Gamma_{155}/\Gamma_{151} $$

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

4.6±1.4±0.4 666 1 ABLIKIM 21AB BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV

¹ ABLIKIM 21AB uses an amplitude analysis with 5 resonant modes plus one background component.

$$ \Gamma(K^{*}(1410)^{0} \pi^{+}, K^{*0} \rightarrow K_{S}^{0} \pi^{+})/\Gamma(K_{S}^{0} \pi^{+} \pi^{0}) \qquad \Gamma_{156}/\Gamma_{151} $$

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

3.3±1.6±0.5 666 1 ABLIKIM 21AB BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV

¹ ABLIKIM 21AB uses an amplitude analysis with 5 resonant modes plus one background component.

$$ \Gamma(K_{S}^{0} 2 \pi^{+} \pi^{-})/\Gamma(K_{S}^{0} K^{-} 2 \pi^{+}) \qquad \Gamma_{157}/\Gamma_{17} $$

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

0.18±0.04±0.05 179 ± 36 LINK 08 FOCS γ A, E<sub>γ</sub> ≈ 180 GeV

$$ \Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0})/\Gamma(K^{+} K^{-} \pi^{+} \pi^{0}) \qquad \Gamma_{158}/\Gamma_{68} $$

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

17.13±0.62±0.51 26k LI 23G BELL e<sup>+</sup>e<sup>-</sup> at/near γ(T(nS), n=1,...,5)

$$ \Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0})/\Gamma_{\text{total}} \qquad \Gamma_{158}/\Gamma $$

VALUE (units 10<sup>-3</sup>) EVTS DOCUMENT ID TECN COMMENT

9.7 ± 0.6 OUR FIT

9.75±0.54±0.17 776 ABLIKIM 22BL BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV

$$ \Gamma(K^{*}(892)^{0} \rho^{+}, K^{*0} \rightarrow K^{+} \pi^{-})/\Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0}) \qquad \Gamma_{159}/\Gamma_{158} $$

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

40.5±2.8±1.5 ABLIKIM 22BL BES3 PWA, 550 D<sup>±</sup><sub>S</sub> → K<sup>±</sup>π<sup>±</sup>π<sup>±</sup>π<sup>0</sup>

$$ \Gamma(K^{*}(892)^{+} \rho^{0}, K^{*+} \rightarrow K^{+} \pi^{0})/\Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0}) \qquad \Gamma_{160}/\Gamma_{158} $$

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

4.3±1.1±0.6 ABLIKIM 22BL BES3 PWA, 550 D<sup>±</sup><sub>S</sub> → K<sup>±</sup>π<sup>±</sup>π<sup>±</sup>π<sup>0</sup>

$$ \Gamma(K_{1}(1270)^{0} \pi^{+}, K_{1}^{0} \rightarrow K^{+} \rho^{-})/\Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0}) \qquad \Gamma_{161}/\Gamma_{158} $$

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

4.0±1.2±0.6 ABLIKIM 22BL BES3 PWA, 550 D<sup>±</sup><sub>S</sub> → K<sup>±</sup>π<sup>±</sup>π<sup>±</sup>π<sup>0</sup>

$$ \Gamma(K_{1}(1400)^{0} \pi^{+}, K_{1}^{0} \rightarrow K^{*}(890)^{+} \pi^{-}, K^{*+} \rightarrow K^{+} \pi^{0})/\Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0}) \qquad \Gamma_{162}/\Gamma_{158} $$

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

5.6±0.9±0.2 ABLIKIM 22BL BES3 PWA, 550 D<sup>±</sup><sub>S</sub> → K<sup>±</sup>π<sup>±</sup>π<sup>±</sup>π<sup>0</sup>

$$ \Gamma(K_{1}(1400)^{0} \pi^{+}, K_{1}^{0} \rightarrow K^{*}(890)^{0} \pi^{0}, K^{*0} \rightarrow K^{+} \pi^{-})/\Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0}) \qquad \Gamma_{163}/\Gamma_{158} $$

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

6.1±0.9±0.2 ABLIKIM 22BL BES3 PWA, 550 D<sup>±</sup><sub>S</sub> → K<sup>±</sup>π<sup>±</sup>π<sup>±</sup>π<sup>0</sup>

$$ \Gamma(K^{+} a_{1}(1260)^{0}, a_{1} \rightarrow \rho^{+} \pi^{-})/\Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0}) \qquad \Gamma_{164}/\Gamma_{158} $$

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

1.9±0.7±0.9 ABLIKIM 22BL BES3 PWA, 550 D<sup>±</sup><sub>S</sub> → K<sup>±</sup>π<sup>±</sup>π<sup>±</sup>π<sup>0</sup>

$$ \Gamma(K^{+} a_{1}(1260)^{0}, a_{1} \rightarrow \rho^{-} \pi^{+})/\Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0}) \qquad \Gamma_{165}/\Gamma_{158} $$

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

1.9±0.7±0.9 ABLIKIM 22BL BES3 PWA, 550 D<sup>±</sup><sub>S</sub> → K<sup>±</sup>π<sup>±</sup>π<sup>±</sup>π<sup>0</sup>

$$ \Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0} \text{ nonresonant})/\Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0}) \qquad \Gamma_{166}/\Gamma_{158} $$

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

9.5±2.2±0.9 ABLIKIM 22BL BES3 PWA, 550 D<sup>±</sup><sub>S</sub> → K<sup>±</sup>π<sup>±</sup>π<sup>±</sup>π<sup>0</sup>

$$ \Gamma((K^{+} \pi^{0}) P-\text{wave} \rho^{0})/\Gamma(K^{+} \pi^{+} \pi^{-} \pi^{0}) \qquad \Gamma_{167}/\Gamma_{158} $$

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

10.4±2.0±0.6 ABLIKIM 22BL BES3 PWA, 550 D<sup>±</sup><sub>S</sub> → K<sup>±</sup>π<sup>±</sup>π<sup>±</sup>π<sup>0</sup>
$$ \Gamma(K^+\omega\pi^0)/\Gamma_{\text{total}} \qquad \Gamma_{168}/\Gamma $$

Unseen decay modes of the $\omega$ are included.

<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;0.82</td><td>90</td><td>GE</td><td>09A</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(K^+\omega\pi^+\pi^-)/\Gamma_{\text{total}} \qquad \Gamma_{169}/\Gamma $$

Unseen decay modes of the $\omega$ are included.

<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;0.54</td><td>90</td><td>GE</td><td>09A</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(K^+\omega\eta)/\Gamma_{\text{total}} \qquad \Gamma_{170}/\Gamma $$

Unseen decay modes of the $\omega$ and $\eta$ are included.

<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;0.79</td><td>90</td><td>GE</td><td>09A</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(2K^+K^-)/\Gamma(K^+K^-\pi^+) \qquad \Gamma_{171}/\Gamma_{47} $$

<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>4.0 ±0.3 ±0.2</td><td>748 ± 60</td><td>DEL-AMO-SA..11G</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

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

<table><tr><td>8.95 ± 2.12<sup>+2.24</sup><sub>-2.31</sub></td><td>31</td><td>LINK</td><td>02I</td><td>FOCS γ A, ≈ 180 GeV</td></tr></table>

$$ \Gamma(\phi K^+, \phi \rightarrow K^+K^-)/\Gamma(2K^+K^-) \qquad \Gamma_{172}/\Gamma_{171} $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.41 ± 0.08 ± 0.03</td><td></td><td>DEL-AMO-SA..11G</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

### Doubly Cabibbo-suppressed modes

$$ \Gamma(2K^+\pi^-)/\Gamma(K^+K^-\pi^+) \qquad \Gamma_{173}/\Gamma_{47} $$

<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>2.371 ± 0.034 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr></tbody></table>

<table><tbody><tr><td>2.372 ± 0.024 ± 0.025</td><td>67k</td><td>AAIJ</td><td>19G LHCB</td><td>pp at 8 TeV</td></tr><tr><td>2.3 ± 0.3 ± 0.2</td><td>356 ± 52</td><td>DEL-AMO-SA..11G</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>2.29 ± 0.28 ± 0.12</td><td>281 ± 34</td><td>KO</td><td>09 BELL</td><td>e<sup>+</sup>e<sup>-</sup> at T(4S)</td></tr><tr><td>5.2 ± 1.7 ± 1.1</td><td>27 ± 9</td><td>LINK</td><td>05k FOCS</td><td>&lt;0.78%, CL = 90%</td></tr></tbody></table>

$$ \Gamma(K^+K^*(892)^0, K^0 \rightarrow K^+\pi^-)/\Gamma(2K^+\pi^-) \qquad \Gamma_{174}/\Gamma_{173} $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.47 ± 0.22 ± 0.15</td><td></td><td>DEL-AMO-SA..11G</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

### Baryon-antibaryon mode

$$ \Gamma(p\bar{p})/\Gamma_{\text{total}} \qquad \Gamma_{175}/\Gamma $$

This is the only baryonic mode allowed kinematically.

<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>1.22 ± 0.11 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>1.21 ± 0.10 ± 0.05</td><td>193 ± 17</td><td>ABLIKIM</td><td>190BES3</td><td>e<sup>+</sup>e<sup>-</sup>, E<sub>cm</sub> = 4178 MeV</td></tr><tr><td>1.30 ± 0.36<sup>+0.12</sup><sub>-0.16</sub></td><td>13.0 ± 3.6</td><td>ATHAR</td><td>08 CLEO</td><td>e<sup>+</sup>e<sup>-</sup>, E<sub>cm</sub> ≈ 4170 MeV</td></tr></tbody></table>

$$ \Gamma(p\bar{p}e^+\nu_e)/\Gamma_{\text{total}} \qquad \Gamma_{176}/\Gamma $$

<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;2.0 × 10<sup>-4</sup></td><td>90</td><td>ABLIKIM</td><td>19BD BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4178 MeV</td></tr></tbody></table>

### Rare or forbidden modes

$$ \Gamma(\pi^+e^+e^-)/\Gamma_{\text{total}} \qquad \Gamma_{177}/\Gamma $$

This mode is not a useful test for a $\Delta C=1$ weak neutral current because both quarks must change flavor in this decay.

<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; 5.5 × 10<sup>-6</sup></td><td>90</td><td>AAIJ</td><td>21T</td><td>LHCB 1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

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

<table><tbody><tr><td>&lt;13 × 10<sup>-6</sup></td><td>90</td><td>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>&lt; 2.2 × 10<sup>-5</sup></td><td>90</td><td><sup>1</sup>RUBIN</td><td>10 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr><tr><td>&lt;27 × 10<sup>-5</sup></td><td>90</td><td>AITALA</td><td>99G E791</td><td>π<sup>-</sup> N 500 GeV</td></tr></tbody></table>

¹This RUBIN 10 limit is for the $e^+e^-$ mass in the continuum away from the $\phi(1020)$. See the next data block.

$$ \Gamma(\pi^+, \phi \rightarrow e^+e^-)/\Gamma_{\text{total}} \qquad \Gamma_{178}/\Gamma $$

This is not a test for the $\Delta C = 1$ weak neutral current, but leads to the $\pi^+e^+e^-$ final state.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>(6<sup>+8</sup><sub>-4</sub> + 1) × 10<sup>-6</sup></td><td>3</td><td>RUBIN</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(\pi^+\mu^+\mu^-)/\Gamma_{\text{total}} \qquad \Gamma_{179}/\Gamma $$

This mode is not a useful test for a $\Delta C=1$ weak neutral current because both quarks must change flavor in this decay.

<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;1.8 × 10<sup>-7</sup></td><td>90</td><td>AAIJ</td><td>21T</td><td>LHCB 1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

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

<table><tbody><tr><td>&lt;4.1 × 10<sup>-7</sup></td><td>90</td><td>AAIJ</td><td>13AF LHCB</td><td>pp at 7 TeV</td></tr><tr><td>&lt;4.3 × 10<sup>-5</sup></td><td>90</td><td>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>&lt;2.6 × 10<sup>-5</sup></td><td>90</td><td>LINK</td><td>03F FOCS</td><td>γ A, E<sub>γ</sub> ≈ 180 GeV</td></tr><tr><td>&lt;1.4 × 10<sup>-4</sup></td><td>90</td><td>AITALA</td><td>99G E791</td><td>π<sup>-</sup> N 500 GeV</td></tr><tr><td>&lt;4.3 × 10<sup>-4</sup></td><td>90</td><td>KODAMA</td><td>95 E653</td><td>π<sup>-</sup> emulsion 600 GeV</td></tr></tbody></table>

$$ \Gamma(K^+e^+e^-)/\Gamma_{\text{total}} \qquad \Gamma_{180}/\Gamma $$

A test for the $\Delta C=1$ weak neutral current. Allowed by higher-order electroweak interactions.

<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>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

<table><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;4.9 × 10<sup>-6</sup></td><td>90</td><td>AAIJ</td><td>21T LHCB</td><td>1.6 fb<sup>-1</sup> pp</td></tr><tr><td>&lt;5.2 × 10<sup>-5</sup></td><td>90</td><td>RUBIN</td><td>10 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr><tr><td>&lt;1.6 × 10<sup>-3</sup></td><td>90</td><td>AITALA</td><td>99G E791</td><td>π<sup>-</sup> N 500 GeV</td></tr></tbody></table>

$$ \Gamma(K^+\mu^+\mu^-)/\Gamma_{\text{total}} \qquad \Gamma_{181}/\Gamma $$

A test for the $\Delta C=1$ weak neutral current. Allowed by higher-order electroweak interactions.

<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; 1.4 × 10<sup>-7</sup></td><td>90</td><td>AAIJ</td><td>21T LHCB</td><td>1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

<table><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;21 × 10<sup>-6</sup></td><td>90</td><td>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>&lt; 3.6 × 10<sup>-5</sup></td><td>90</td><td>LINK</td><td>03F FOCS</td><td>γ A, E<sub>γ</sub> ≈ 180 GeV</td></tr><tr><td>&lt; 1.4 × 10<sup>-4</sup></td><td>90</td><td>AITALA</td><td>99G E791</td><td>π<sup>-</sup> N 500 GeV</td></tr><tr><td>&lt; 5.9 × 10<sup>-4</sup></td><td>90</td><td>KODAMA</td><td>95 E653</td><td>π<sup>-</sup> emulsion 600 GeV</td></tr></tbody></table>

$$ \Gamma(K^*(892)^+\mu^+\mu^-)/\Gamma_{\text{total}} \qquad \Gamma_{182}/\Gamma $$

A test for the $\Delta C=1$ weak neutral current. Allowed by higher-order electroweak interactions.

<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;1.4 × 10<sup>-3</sup></td><td>90</td><td>KODAMA</td><td>95 E653</td><td>π<sup>-</sup> emulsion 600 GeV</td></tr></tbody></table>

$$ \Gamma(\pi^+e^+\mu^-)/\Gamma_{\text{total}} \qquad \Gamma_{183}/\Gamma $$

A test of lepton-family-number conservation.

<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; 1.1 × 10<sup>-6</sup></td><td>90</td><td>AAIJ</td><td>21T LHCB</td><td>1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

<table><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;12 × 10<sup>-6</sup></td><td>90</td><td>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

$$ \Gamma(\pi^+e^-\mu^+)/\Gamma_{\text{total}} \qquad \Gamma_{184}/\Gamma $$

A test of lepton-family-number conservation.

<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; 9.4 × 10<sup>-7</sup></td><td>90</td><td>AAIJ</td><td>21T LHCB</td><td>1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

<table><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;20 × 10<sup>-6</sup></td><td>90</td><td>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

$$ \Gamma(K^+e^+\mu^-)/\Gamma_{\text{total}} \qquad \Gamma_{185}/\Gamma $$

A test of lepton-family-number conservation.

<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; 7.9 × 10<sup>-7</sup></td><td>90</td><td>AAIJ</td><td>21T LHCB</td><td>1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

<table><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;14 × 10<sup>-6</sup></td><td>90</td><td>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

$$ \Gamma(K^+e^-\mu^+)/\Gamma_{\text{total}} \qquad \Gamma_{186}/\Gamma $$

A test of lepton-family-number conservation.

<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;5.6 × 10<sup>-7</sup></td><td>90</td><td>AAIJ</td><td>21T LHCB</td><td>1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

<table><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;9.7 × 10<sup>-6</sup></td><td>90</td><td>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

$$ \Gamma(\pi^-2e^+)/\Gamma_{\text{total}} \qquad \Gamma_{187}/\Gamma $$

A test of lepton-number conservation.

<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; 1.4 × 10<sup>-6</sup></td><td>90</td><td>AAIJ</td><td>21T LHCB</td><td>1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

<table><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt; 4.1 × 10<sup>-6</sup></td><td>90</td><td>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>&lt; 1.8 × 10<sup>-5</sup></td><td>90</td><td>RUBIN</td><td>10 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr><tr><td>&lt;69 × 10<sup>-5</sup></td><td>90</td><td>AITALA</td><td>99G E791</td><td>π<sup>-</sup> N 500 GeV</td></tr></tbody></table>

$$ \Gamma(\pi^-2\mu^+)/\Gamma_{\text{total}} \qquad \Gamma_{188}/\Gamma $$

A test of lepton-number conservation.

<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;8.6 × 10<sup>-8</sup></td><td>90</td><td>AAIJ</td><td>21T LHCB</td><td>1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

<table><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;1.2 × 10<sup>-7</sup></td><td>90</td><td>AAIJ</td><td>13AF LHCB</td><td>pp at 7 TeV</td></tr><tr><td>&lt;1.4 × 10<sup>-5</sup></td><td>90</td><td>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>&lt;2.9 × 10<sup>-5</sup></td><td>90</td><td>LINK</td><td>03F FOCS</td><td>γ A, E<sub>γ</sub> ≈ 180 GeV</td></tr><tr><td>&lt;8.2 × 10<sup>-5</sup></td><td>90</td><td>AITALA</td><td>99G E791</td><td>π<sup>-</sup> N 500 GeV</td></tr><tr><td>&lt;4.3 × 10<sup>-4</sup></td><td>90</td><td>KODAMA</td><td>95 E653</td><td>π<sup>-</sup> emulsion 600 GeV</td></tr></tbody></table>

$$ \Gamma(\pi^-e^+\mu^+)/\Gamma_{\text{total}} \qquad \Gamma_{189}/\Gamma $$

A test of lepton-number conservation.

<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;6.3 × 10<sup>-7</sup></td><td>90</td><td>AAIJ</td><td>21T LHCB</td><td>1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

<table><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;8.4 × 10<sup>-6</sup></td><td>90</td><td>LEES</td><td>11G BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>&lt;7.3 × 10<sup>-4</sup></td><td>90</td><td>AITALA</td><td>99G E791</td><td>π<sup>-</sup> N 500 GeV</td></tr></tbody></table>
# Meson Particle Listings

## $D_S^{\pm}$

### $\Gamma(K^+2e^+)/\Gamma_{\text{total}}$

A test of lepton-number conservation.

<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; 7.7 x 10<sup>-7</sup></td><td>90</td><td>AAIJ</td><td>21T</td><td>LHCB 1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

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

<table><tbody><tr><td>&lt; 5.2 x 10<sup>-6</sup></td><td>90</td><td>LEES</td><td>11G</td><td>BABR e<sup>+</sup> e<sup>-</sup> &approx; T(4S)</td></tr><tr><td>&lt; 1.7 x 10<sup>-5</sup></td><td>90</td><td>RUBIN</td><td>10</td><td>CLEO e<sup>+</sup> e<sup>-</sup> at 4170 MeV</td></tr><tr><td>&lt;63 x 10<sup>-5</sup></td><td>90</td><td>AITALA</td><td>99G</td><td>E791 &pi;<sup>-</sup> N 500 GeV</td></tr></tbody></table>

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

A test of lepton-number conservation.

<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;2.6 x 10<sup>-8</sup></td><td>90</td><td>AAIJ</td><td>21T</td><td>LHCB 1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

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

<table><tbody><tr><td>&lt;1.3 x 10<sup>-5</sup></td><td>90</td><td>LEES</td><td>11G</td><td>BABR e<sup>+</sup> e<sup>-</sup> &approx; T(4S)</td></tr><tr><td>&lt;1.3 x 10<sup>-5</sup></td><td>90</td><td>LINK</td><td>03F</td><td>FOCS &gamma; A, E<sub>&gamma;</sub> &approx; 180 GeV</td></tr><tr><td>&lt;1.8 x 10<sup>-4</sup></td><td>90</td><td>AITALA</td><td>99G</td><td>E791 &pi;<sup>-</sup> N 500 GeV</td></tr><tr><td>&lt;5.9 x 10<sup>-4</sup></td><td>90</td><td>KODAMA</td><td>95</td><td>E653 &pi;<sup>-</sup> emulsion 600 GeV</td></tr></tbody></table>

### $\Gamma(K^-e^+\mu^+)/\Gamma_{\text{total}}$

A test of lepton-number conservation.

<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;2.6 x 10<sup>-7</sup></td><td>90</td><td>AAIJ</td><td>21T</td><td>LHCB 1.6 fb<sup>-1</sup> pp</td></tr></tbody></table>

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

<table><tbody><tr><td>&lt;6.1 x 10<sup>-6</sup></td><td>90</td><td>LEES</td><td>11G</td><td>BABR e<sup>+</sup> e<sup>-</sup> &approx; T(4S)</td></tr><tr><td>&lt;6.8 x 10<sup>-4</sup></td><td>90</td><td>AITALA</td><td>99G</td><td>E791 &pi;<sup>-</sup> N 500 GeV</td></tr></tbody></table>

### $\Gamma(K^*(892^-2\mu^+)/\Gamma_{\text{total}}$

A test of lepton-number conservation.

<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;1.4 x 10<sup>-3</sup></td><td>90</td><td>KODAMA</td><td>95</td><td>E653 &pi;<sup>-</sup> emulsion 600 GeV</td></tr></tbody></table>

### $D_S^{\pm}$ Amplitude analyses

#### $D_S^+ \to K^+ K^- \pi^+ \text{ partial wave analyses}$

Amplitude analyses of $D_S^+$ decays to the $K^+ K^- \pi^+$ final state, fitting simultaneously different partial wave components.

<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>18.6k</td><td>1 ABLIKIM</td><td>21AE BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178 GeV</td></tr><tr><td>seen</td><td>96k</td><td>1 DEL-AMO-SA..11G</td><td>BABR</td><td>e<sup>+</sup> e<sup>-</sup> at T(4S)</td></tr><tr><td>seen</td><td>12k</td><td>1 MITCHELL</td><td>09A</td><td>CLEO e<sup>+</sup> e<sup>-</sup> at 4.17 GeV</td></tr><tr><td>seen</td><td>701</td><td>2 FRABETTI</td><td>95B</td><td>E687</td></tr></tbody></table>

¹Amplitude analysis with 6 components.

²Amplitude analysis with 5 components.

#### $D_S^+ \to K^+ K_S \pi^0 \text{ partial wave analyses}$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>990</td><td>1 ABLIKIM</td><td>22AH BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

¹Amplitude analysis with 5 components.

#### $D_S^+ \to 2\pi^+ \pi^- \text{ partial wave analyses}$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.7M</td><td>1 AAIJ</td><td>23AN LHCB</td><td>Dalitz fit, 0.7M events</td></tr><tr><td>11.1k</td><td>2 ABLIKIM</td><td>22BI BES3</td><td>Dalitz fit</td></tr><tr><td>10.5k</td><td>2 AUBERT</td><td>09O BABR</td><td>Dalitz fit</td></tr><tr><td>1.5k</td><td>3 LINK</td><td>04</td><td>FOCS Dalitz fit</td></tr><tr><td>848</td><td>4 AITALA</td><td>01A E791</td><td>Dalitz fit</td></tr></tbody></table>

¹Amplitude analysis with 7 components, one of which is a model-independent $\pi^+\pi^-$ S-wave parametrisation as complex numbers in 50 $\pi^+\pi^-$ mass bins.

²Amplitude analysis with 4 components, one of which is a model-independent $\pi^+\pi^-$ S-wave parametrisation as complex numbers in 29 $\pi^+\pi^-$ mass bins.

³Amplitude analysis with 5 components.

⁴Amplitude analysis with 6 components.

#### $D_S^+ \to 2\pi^+ \pi^- \eta \text{ partial wave analyses}$

Amplitude analyses of $D_S^+$ decays to the $\pi^+\pi^+\pi^-\eta$ final state, fitting simultaneously different partial wave components.

<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>2.1k</td><td>1 ABLIKIM</td><td>21AR BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

¹Amplitude analysis with 11 components.

#### $D_S^+ \to \pi^+ \pi^0 \eta' \text{ partial wave analyses}$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>395</td><td>1 ABLIKIM</td><td>22AA BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

¹The only significant contribution found in this analysis is $D_S^+ \to \rho^+ \pi^-$.

#### $D_S^+ \to \pi^+ 2\pi^0 \text{ partial wave analyses}$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>440</td><td>1 ABLIKIM</td><td>22Z BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

#### $D_S^+ \to K^+ \pi^+ \pi^- \text{ partial wave analyses}$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.3k</td><td>1 ABLIKIM</td><td>22AC BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

¹ABLIKIM 22AC uses an amplitude analysis with 8 components.

#### $D_S^+ \to K_S^0 \pi^+ \pi^0 \text{ partial wave analyses}$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>666</td><td>1 ABLIKIM</td><td>21AB BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

¹ABLIKIM 21AB uses an amplitude analysis with 5 resonant modes plus one background component.

#### $D_S^+ \to K^+ \pi^+ \pi^- \pi^0 \text{ partial wave analyses}$

<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>550</td><td>1 ABLIKIM</td><td>22BL BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

¹Amplitude analysis with 11 components.

#### $D_S^+ \to 2K_S^0 \pi^+ \text{ partial wave analyses}$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>400</td><td>1 ABLIKIM</td><td>22F BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

¹Amplitude analysis with 2 components.

#### $D_S^+ \to (KS)^0 K^- 2\pi^+ \text{ partial wave analyses}$

Amplitude analyses of $D_S^+$ decays to the $K_S^0 K^- 2\pi^+$ final state, fitting simultaneously different partial wave components.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.3k</td><td>1 ABLIKIM</td><td>21K BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

¹Amplitude analysis with 13 components.

#### $D_S^+ \to K^- K^+ \pi^+ \pi^0 \text{ partial wave analyses}$

Amplitude analyses of $D_S^+$ decays to the $K^- K^+ \pi^+ \pi^0$ final state, fitting simultaneously different partial wave components.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3k</td><td>1 ABLIKIM</td><td>21U BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

¹ABLIKIM 21U uses an amplitude analysis with 9 components.

#### $D_S^+ \to K^- K^+ 2\pi^+ \pi^- \text{ partial wave analyses}$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>309</td><td>1 ABLIKIM</td><td>22AB BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

### $D_S^+ - D_S^- \text{ CP-VIOLATING DECAY-RATE ASYMMETRIES}$

This is the difference between $D_S^+$ and $D_S^-$ partial widths for the decay to state $f$, divided by the sum of the widths:

$$A_{CP}(f) = [\Gamma(D_S^+ \to f) - \Gamma(D_S^- \to \bar{f})] / [\Gamma(D_S^+ \to f) + \Gamma(D_S^- \to \bar{f})].$$

#### $A_{CP}(\mu^+\nu)$ in $D_S^+ \to \mu^+\nu, D_S^- \to \mu^-\bar{\nu}\mu$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.2±2.5</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>-1.2±2.5±1.0</td><td>2.2k</td><td>ABLIKIM</td><td>21BE BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178, 4.226 GeV</td></tr><tr><td>4.8±6.1</td><td></td><td>ALEXANDER</td><td>09 CLEO</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178 GeV</td></tr></tbody></table>

#### $A_{CP}(\tau^+\nu)$ in $D_S^+ \to \tau^+ \nu_\tau, D_S^- \to \tau^- \bar{\nu}_\tau$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.9±4.8±1.0</td><td>950</td><td>1 ABLIKIM</td><td>21BE BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4.178, 4.226 GeV</td></tr></tbody></table>

¹ABLIKIM 21BE also reports that when constrained by the Standard Model ratio of $\Gamma(D_S^+ \to \tau^+ \nu_\tau)/\Gamma(D_S^+ \to \mu^+ \nu_\mu) = 9.75$, the result is $(-0.1 \pm 1.9 \pm 1.0)$%.

#### $A_{CP}(K^+ K_S^0)$ in $D_S^\pm \to K^\pm K_S^0$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.09±0.26</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>0.6 ±2.8 ±0.6</td><td>1.8k</td><td>ABLIKIM</td><td>19AM BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4178 MeV</td></tr><tr><td>-0.05±0.23±0.24</td><td>288k</td><td>1 LEES</td><td>13E BABR</td><td>e<sup>+</sup> e<sup>-</sup> at T(4S)</td></tr><tr><td>2.6 ±1.5 ±0.6</td><td></td><td>ONYISI</td><td>13 CLEO</td><td>e<sup>+</sup> e<sup>-</sup> at 4.17 GeV</td></tr><tr><td>0.12±0.36±0.22</td><td></td><td>KO</td><td>10 BELL</td><td>e<sup>+</sup> e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

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

<table><tbody><tr><td>4.7 ±1.8 ±0.9</td><td>4.0k</td><td>MENDEZ</td><td>10 CLEO</td><td>See ONYISI 13</td></tr><tr><td>4.9 ±2.1 ±0.9</td><td></td><td>ALEXANDER</td><td>08 CLEO</td><td>See MENDEZ 10</td></tr></tbody></table>

¹LEES 13E finds that after subtracting the contribution due to $K^0 - \bar{K}^0$ mixing, the CP asymmetry is $(+0.28 \pm 0.23 \pm 0.24)$%.

#### $A_{CP}(K^+ K_S^0)$ in $D_S^\pm \to K^\pm K_S^0$

<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>-1.1±2.6±0.6</td><td>2.3k</td><td>ABLIKIM</td><td>19AM BES3</td><td>e<sup>+</sup> e<sup>-</sup> at 4178 MeV</td></tr></tbody></table>

#### $A_{CP}(K^+ K^- \pi^\pm)$ in $D_S^\pm \to K^+ K^- \pi^\pm$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.5±0.8±0.4</td><td></td><td>ONYISI</td><td>13 CLEO</td><td>e<sup>+</sup> e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

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

0.3±1.1±0.8 ALEXANDER 08 CLEO See ONYISI 13
$A_{CP}(\phi\pi^\pm) \text{ in } D_s^\pm \to \phi\pi^\pm$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.38±0.26±0.08</td><td>ABAZOV</td><td>14B</td><td>p<span style="text-decoration: overline">p</span> at 1.96 TeV</td></tr></tbody></table>

$A_{CP}(K^{\pm} K_{S}^{0} \pi^{0}) \text{ in } D_{s}^{\pm} \to K^{\pm} K_{S}^{0} \pi^{0}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-1.6±6.0±1.1</td><td>ONYISI</td><td>13</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

$A_{CP}(2K_{S}^{0} \pi^{\pm}) \text{ in } D_{s}^{\pm} \to 2K_{S}^{0} \pi^{\pm}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.1±5.2±0.6</td><td>ONYISI</td><td>13</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

$A_{CP}(K^{+} K^{-} \pi^{\pm} \pi^{0}) \text{ in } D_{s}^{\pm} \to K^{+} K^{-} \pi^{\pm} \pi^{0}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0±2.7±1.2</td><td>ONYISI</td><td>13</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
-5.9±4.2±1.2
ALEXANDER 08
CLEO See ONYISI 13

$A_{CP}(K^{\pm} K_{S}^{0} \pi^{+} \pi^{-}) \text{ in } D_{s}^{\pm} \to K^{\pm} K_{S}^{0} \pi^{+} \pi^{-}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-5.7±5.3±0.9</td><td>ONYISI</td><td>13</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

$A_{CP}(K_{S}^{0} K^{\mp} 2\pi^{\pm}) \text{ in } D_{s}^{+} \to K_{S}^{0} K^{\mp} 2\pi^{\pm}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>4.1±2.7±0.9</td><td>ONYISI</td><td>13</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
-0.7±3.6±1.1
ALEXANDER 08
CLEO See ONYISI 13

$A_{CP}(\pi^{+} \pi^{-} \pi^{0}) \text{ in } D_{s}^{\pm} \to \pi^{+} \pi^{-} \pi^{0}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.7±3.0±0.6</td><td>ONYISI</td><td>13</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
2.0±4.6±0.7
ALEXANDER 08
CLEO See ONYISI 13

$A_{CP}(\pi^{\pm} \eta) \text{ in } D_{s}^{\pm} \to \pi^{\pm} \eta$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.32±0.31 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.32±0.51±0.12</td><td>136k</td><td>AAIJ</td><td>23E</td><td>LHCB 6 fb<sup>-1</sup>, pp at 13 TeV, η → γππ</td></tr><tr><td>0.8 ± 0.7 ± 0.5</td><td>38k</td><td>AAIJ</td><td>21U</td><td>LHCB pp at 13 TeV</td></tr><tr><td>0.2 ± 0.3 ± 0.3</td><td>22k</td><td>GUAN</td><td>21</td><td>BELL e<sup>+</sup>e<sup>-</sup> ≈ T(4,5S)</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1.1 ± 3.0 ± 0.8</td><td></td><td>ONYISI</td><td>13</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr><tr><td>-4.6 ± 2.9 ± 0.3</td><td>2.5k</td><td>MENDEZ</td><td>10</td><td>CLEO See ONYISI 13</td></tr><tr><td>-8.2 ± 5.2 ± 0.8</td><td></td><td>ALEXANDER</td><td>08</td><td>CLEO See MENDEZ 10</td></tr></tbody></table>

$A_{CP}(\eta \pi^{\pm} \eta') \text{ in } D_{s}^{\pm} \to \eta \pi^{\pm} \pi^{0}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.06±0.22 OUR AVERAGE</td><td>Error includes scale factor of 1.2.</td><td></td><td></td><td></td></tr><tr><td>0.01±0.12±0.08</td><td>1M</td><td>AAIJ</td><td>23E</td><td>LHCB 6 fb<sup>-1</sup>, pp at 13 TeV, η → γππ</td></tr><tr><td>-0.82±0.36±0.35</td><td>152k</td><td>AAIJ</td><td>17AF</td><td>LHCB pp at 7, 8 TeV</td></tr><tr><td>-2.2 ± 2.2 ± 0.6</td><td></td><td>ONYISI</td><td>13</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-6.1 ± 3.0 ± 0.3</td><td>1.4k</td><td>MENDEZ</td><td>10</td><td>CLEO See ONYISI 13</td></tr><tr><td>-5.5 ± 3.7 ± 1.2</td><td></td><td>ALEXANDER</td><td>08</td><td>CLEO See MENDEZ 10</td></tr></tbody></table>

$A_{CP}(\eta \pi^{\pm} \pi^{0}) \text{ in } D_{s}^{\pm} \to \eta \pi^{\pm} \pi^{0}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.5±3.9±2.0</td><td>ONYISI</td><td>13</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

$A_{CP}(\eta' \pi^{\pm} \pi^{0}) \text{ in } D_{s}^{\pm} \to \eta' \pi^{\pm} \pi^{0}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.4±7.4±1.9</td><td>ONYISI</td><td>13</td><td>e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

$A_{CP}(K^{\pm} \pi^{0}) \text{ in } D_{s}^{\pm} \to K^{\pm} \pi^{0}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2 ± 4 OUR AVERAGE</td><td>Error includes scale factor of 1.2.</td><td></td><td></td><td></td></tr><tr><td>- 0.8 ± 3.9 ± 1.2</td><td>2.8k</td><td>AAIJ</td><td>21U</td><td>LHCB pp at 7, 8, 13 TeV</td></tr><tr><td>6.4 ± 4.4 ± 1.1</td><td>12k</td><td>GUAN</td><td>21</td><td>BELL e<sup>+</sup>e<sup>-</sup> ≈ T(4,5S)</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-26.6 ± 23.8 ± 0.9</td><td>202</td><td>MENDEZ</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr><tr><td>2 ± 29</td><td></td><td>ADAMS</td><td>07A</td><td>CLEO See MENDEZ 10</td></tr></tbody></table>

$A_{CP}(\bar{K}^{0}/K^{0} \pi^{\pm}) \text{ in } D_{s}^{+} \to \bar{K}^{0} \pi^{+}, D_{s}^{-} \to K^{0} \pi^{-}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.4 ± 0.5 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.38±0.46±0.17</td><td>121k</td><td>1 AAIJ</td><td>14BD</td><td>LHCB pp at 7, 8 TeV</td></tr><tr><td>0.3 ± 2.0 ± 0.3</td><td>14k</td><td>LEES</td><td>13E</td><td>BABR e<sup>+</sup>e<sup>-</sup> at T(4S)</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
0.61±0.83±0.14
26k
AAIJ
13W
LHCB See AAIJ 14BD

$^1$AAIJ 14BD reports its result as $A_{CP}(D_{S}^{\pm} \to K_{S}^{0} K^{\pm})$ with CP-violation effects in the $K^{0} - \bar{K}^{0}$ system subtracted. It also measures $A_{CP}(D_{S}^{\pm} \to \bar{K}^{0}/K^{0} K^{\pm}) + A_{CP}(D_{S}^{\pm} \to \bar{K}^{0}/K^{0} \pi^{\pm}) = (0.41 \pm 0.49 \pm 0.26)\%$.

$A_{CP}(K_{S}^{0} \pi^{\pm}) \text{ in } D_{s}^{\pm} \to K_{S}^{0} \pi^{\pm}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.20± 0.18 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.16 ± 0.17±0.05</td><td>721k</td><td>AAIJ</td><td>19T</td><td>LHCB pp at 7, 8, 13 TeV</td></tr><tr><td>0.6 ± 2.0 ± 0.3</td><td>14k</td><td>LEES</td><td>13E</td><td>BABR e<sup>+</sup>e<sup>-</sup> at T(4S)</td></tr><tr><td>5.45 ± 2.50±0.33</td><td></td><td>KO</td><td>10</td><td>BELL e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>16.3 ± 7.3 ± 0.3</td><td>0.4k</td><td>MENDEZ</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

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

<table><tr><td>27 ±11</td><td>ADAMS</td><td>07A</td><td>CLEO</td><td>See MENDEZ 10</td></tr></table>

$A_{CP}(K^{\pm} \pi^{+} \pi^{-}) \text{ in } D_{s}^{\pm} \to K^{\pm} \pi^{+} \pi^{-}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.7±2.7 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>3.3±3.0±1.3</td><td>1.3k</td><td>ABLIKIM</td><td>22AB</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr><tr><td>4.5±4.8±0.6</td><td></td><td>ONYISI</td><td>13</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4.17 GeV</td></tr></tbody></table>

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

<table><tr><td>11.2±7.0±0.9</td><td>ALEXANDER 08</td><td>CLEO</td><td>See ONYISI 13</td></tr></table>

$A_{CP}(K_{S}^{0} \pi^{+} \pi^{0}) \text{ in } D_{s}^{\pm} \to K_{S}^{0} \pi^{+} \pi^{0}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.7±5.5±0.9</td><td>666</td><td>1 ABLIKIM</td><td>21AB</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$^1$ABLIKIM 21AB uses an amplitude analysis with 5 resonant modes plus one background component.

$A_{CP}(K^{\pm} \pi^{+} \pi^{-} \pi^{0}) \text{ in } D_{s}^{\pm} \to K^{\pm} \pi^{+} \pi^{-} \pi^{0}$

<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>6.6±5.4±0.7</td><td>776</td><td>ABLIKIM</td><td>22BL</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 4.178-4.226 GeV</td></tr></tbody></table>

$A_{CP}(K^{\pm} \eta) \text{ in } D_{s}^{\pm} \to K^{\pm} \eta$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.8± 1.9 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.9 ± 3.7±1.1</td><td>2.5k</td><td>AAIJ</td><td>21U</td><td>LHCB pp at 13 TeV</td></tr><tr><td>2.1± 2.1±0.4</td><td>14k</td><td>GUAN</td><td>21</td><td>BELL e<sup>+</sup>e<sup>-</sup> ≈ T(4,5S)</td></tr></tbody></table>

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

<table><tr><td>9.3±15.2±0.9</td><td>222</td><td>MENDEZ</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr><tr><td>-20 ± 18</td><td></td><td>ADAMS</td><td>07A</td><td>CLEO See MENDEZ 10</td></tr></table>

$A_{CP}(K^{\pm} \eta'(958)) \text{ in } D_{s}^{\pm} \to K^{\pm} \eta'(958)$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>6.0±18.9±0.9</td><td>56 ± 17</td><td>MENDEZ</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

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

<table><tr><td>-17 ±37</td><td>ADAMS</td><td>07A</td><td>CLEO</td><td>See MENDEZ 10</td></tr></table>

## $D_s^\pm \chi^2$ TESTS OF CP-VIOLATION (CPV)

We list model-independent searches for local CP violation in phase-space distributions of multi-body decays.

Most of these searches divide phase space (Dalitz plot for 3-body decays, five-dimensional equivalent for 4-body decays) into bins, and perform a $\chi^2$ test comparing normalised yields $N_j, \bar{N}_j$ in CP-conjugate bin pairs $i$: $\chi^2 = \sum_j(N_j - \alpha \bar{N}_j)/\sigma(N_j - \alpha \bar{N}_j)$. The factor $\alpha = (\sum_j N_j)/(\sum_j \bar{N}_j)$ removes the dependence on phase-space-integrated rate asymmetries. The result is used to obtain the probability (p-value) to obtain the measured $\chi^2$ or larger under the assumption of CP conservation [AUBERT 08A0, BEDIAGA 09]. Alternative methods obtain p-values from other test variables based on unbinned analyses [WILLIAMSON 11, AAIJ 14c]. Results can be combined using Fisher's method [MOSTELLER 48].

Local CPV in $D_s^\pm \to K^+ K^- K^\pm$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.133</td><td>970k</td><td>AAIJ</td><td>23L</td><td>LHCB $\chi^2$</td></tr></tbody></table>

## CP VIOLATING ASYMMETRIES OF P-ODD (T-ODD) MOMENTS

$A_{T\text{viol}}(K_S^0 K^{\pm} \pi^+ \pi^-) \text{ in } D_S^\pm \to K_S^0 K^{\pm} \pi^+ \pi^-$

$C_T \equiv \bar{p}_{K^+} \cdot (\bar{p}_{\pi^+} \times \bar{p}_{\pi^-})$ is a parity-odd correlation of the $K^+, \pi^+$, and $\pi^-$ momenta for the $D_S^-$, $\bar{C}_T \equiv \bar{p}_{K^-} \cdot (\bar{p}_{\pi^-} \times \bar{p}_{\pi^+})$ is the corresponding quantity for the $D_S^-$.
$A_T \equiv [\Gamma(C_T > 0) - \Gamma(C_T < 0)] / [\Gamma(C_T > 0) + \Gamma(C_T < 0)]$, and
$A_T \equiv [\Gamma(-C_T > 0) - \Gamma(-C_T < 0)] / [\Gamma(-C_T > 0) + \Gamma(-C_T < 0)]$, and
$A_{T\text{viol}} \equiv \frac{1}{2}(A_T - \bar{A}_T)$. $C_T$ and $\bar{C}_T$ are commonly referred to as T-odd moments, because they are odd under T reversal. However, the T-conjugate process $K_S^0 K^{\pm} \pi^+ \pi^- \to D_S^\pm$ is not accessible, while the P-conjugate process is.

<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>-8 ± 6 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>-4.6 ± 6.3 ± 3.8</td><td>70k</td><td>MOON</td><td>23</td><td>BELL 980 fb<sup>-1</sup> at ~T(4S)</td></tr><tr><td>-13.6 ± 7.7 ± 3.4</td><td>29.8k</td><td>LEES</td><td>11E</td><td>BABR e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

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

<table><tr><td>-36 ±67 ±23</td><td>508</td><td>LINK</td><td>05E</td><td>FOCS $\gamma A, \bar{\gamma} A \approx 180$ GeV</td></tr></table>
### $D_s^\pm$ Semileptonic Form Factors and Decay Constants

$r_2 \equiv A_2(0)/A_1(0) \text{ in } D_s^+ \to \phi\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.83 ± 0.08</td><td>OUR AVERAGE</td><td></td><td></td><td>Error includes scale factor of 1.8.</td></tr><tr><td>0.71 ± 0.14 ± 0.02</td><td></td><td>1 ABLIKIM</td><td>23BZ BES3</td><td>$D_s^+ \to K^+ K^- \mu^+ \nu_\mu$</td></tr><tr><td>0.816 ± 0.036 ± 0.030</td><td>25k</td><td>2 AUBERT</td><td>08AN BABR</td><td>$\phi e^+ \nu_e$</td></tr><tr><td>0.713 ± 0.202 ± 0.284</td><td>793</td><td>LINK</td><td>04C FOCS</td><td>$\phi \mu^+ \nu_\mu$</td></tr><tr><td>1.57 ± 0.25 ± 0.19</td><td>271</td><td>AITALA</td><td>99D E791</td><td>$\phi e^+ \nu_e, \phi \mu^+ \nu_\mu$</td></tr><tr><td>1.4 ± 0.5 ± 0.3</td><td>308</td><td>AVERY</td><td>94B CLE2</td><td>$\phi e^+ \nu_e$</td></tr><tr><td>1.1 ± 0.8 ± 0.1</td><td>90</td><td>FRABETTI</td><td>94F E687</td><td>$\phi \mu^+ \nu_\mu$</td></tr><tr><td>2.1 <sup>+0.6</sup><sub>-0.5</sub> ± 0.2</td><td>19</td><td>KODAMA</td><td>93 E653</td><td>$\phi \mu^+ \nu_\mu$</td></tr></tbody></table>

¹Partial wave analysis of 939 $D_s^+ \to K^+ K^- \mu^+ \nu_\mu$ events.

²To compare with previous measurements, this AUBERT 08AN value is from a fit that fixes the pole masses at $m_A = 2.5$ GeV/c² and $m_V = 2.1$ GeV/c². A simultaneous fit to $r_2$, $r_\nu$, $r_0$ (a significant s-wave contribution) and $m_A$, gives $r_2 = 0.763 \pm 0.071 \pm 0.065$.

WEIGHTED AVERAGE
0.83±0.08 (Error scaled by 1.8)

<figure><img src="image_568.png" /></figure>

$r_v \equiv V(0)/A_1(0) \text{ in } D_s^+ \to \phi\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.76 ± 0.07</td><td>OUR AVERAGE</td><td></td><td></td><td>Error includes scale factor of 1.1.</td></tr><tr><td>1.58 ± 0.17 ± 0.02</td><td></td><td>1 ABLIKIM</td><td>23BZ BES3</td><td>$D_s^+ \to K^+ K^- \mu^+ \nu_\mu$</td></tr><tr><td>1.807 ± 0.046 ± 0.065</td><td>25k</td><td>2 AUBERT</td><td>08AN BABR</td><td>$\phi e^+ \nu_e$</td></tr><tr><td>1.549 ± 0.250 ± 0.148</td><td>793</td><td>LINK</td><td>04C FOCS</td><td>$\phi \mu^+ \nu_\mu$</td></tr><tr><td>2.27 ± 0.35 ± 0.22</td><td>271</td><td>AITALA</td><td>99D E791</td><td>$\phi e^+ \nu_e, \phi \mu^+ \nu_\mu$</td></tr><tr><td>0.9 ± 0.6 ± 0.3</td><td>308</td><td>AVERY</td><td>94B CLE2</td><td>$\phi e^+ \nu_e$</td></tr><tr><td>1.8 ± 0.9 ± 0.2</td><td>90</td><td>FRABETTI</td><td>94F E687</td><td>$\phi \mu^+ \nu_\mu$</td></tr><tr><td>2.3 <sup>+1.1</sup><sub>-0.9</sub> ± 0.4</td><td>19</td><td>KODAMA</td><td>93 E653</td><td>$\phi \mu^+ \nu_\mu$</td></tr></tbody></table>

¹Partial wave analysis of 939 $D_s^+ \to K^+ K^- \mu^+ \nu_\mu$ events.

²To compare with previous measurements, this AUBERT 08AN value is from a fit that fixes the pole masses at $m_A = 2.5$ GeV/c² and $m_V = 2.1$ GeV/c². A simultaneous fit to $r_2$, $r_\nu$, $r_0$ (a significant s-wave contribution) and $m_A$, gives $r_v = 1.849 \pm 0.060 \pm 0.095$.

$\Gamma_L/\Gamma_T \text{ in } D_s^+ \to \phi\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.72 ± 0.18</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>1.0 ± 0.3 ± 0.2</td><td>308</td><td>AVERY</td><td>94B CLE2</td><td>$\phi e^+ \nu_e$</td></tr><tr><td>1.0 ± 0.5 ± 0.1</td><td>90</td><td>1 FRABETTI</td><td>94f E687</td><td>$\phi \mu^+ \nu_\mu$</td></tr><tr><td>0.54 ± 0.21 ± 0.10</td><td>19</td><td>1 KODAMA</td><td>93 E653</td><td>$\phi \mu^+ \nu_\mu$</td></tr></tbody></table>

¹FRABETTI 94F and KODAMA 93 evaluate $\Gamma_L/\Gamma_T$ for a lepton mass of zero.

$f_+(0) | V_{cs} | \text{ in } D_s^+ \to \eta e^+ \nu_e$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.4519 ± 0.071 ± 0.0065</td><td>4k</td><td>ABLIKIM</td><td>23B BES3</td><td>$e^+ e^- \text{ at } 4128-4226 \text{ MeV}$</td></tr></tbody></table>

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

0.4455 ± 0.0053 ± 0.0044 1.8k 1 ABLIKIM 19s BES3 $e^+ e^- \text{ at } 4178 \text{ MeV}$

¹Superseded by ABLIKIM 23B0

$f_+(0) | V_{cs} | \text{ in } D_s^+ \to \eta' e^+ \nu_e$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.525 ± 0.024 ± 0.009</td><td>675</td><td>ABLIKIM</td><td>23B BES3</td><td>$e^+ e^- \text{ at } 4128-4226 \text{ MeV}$</td></tr><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td><td></td><td></td><td></td><td></td></tr><tr><td>0.477 ± 0.049 ± 0.011</td><td>261</td><td>1 ABLIKIM</td><td>19s BES3</td><td>$e^+ e^- \text{ at } 4178 \text{ MeV}$</td></tr></tbody></table>

¹Superseded by ABLIKIM 23B0

$f_+(0) | V_{cd} | \text{ in } D_s^+ \to K^0 e^+ \nu_e$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.162 ± 0.019 ± 0.003</td><td>117</td><td>1 ABLIKIM</td><td>19d BES3</td><td>$K_S^0 e^+ \nu_e$</td></tr></tbody></table>

¹Using a two parameter fit in the z expansion.

$r_v \equiv V(0)/A_1(0) \text{ in } D_s^+ \to K^*(892)^0 e^+ \nu_e$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.67 ± 0.34 ± 0.16</td><td>155</td><td>ABLIKIM</td><td>19d BES3</td><td>$e^+ e^- \text{ at } 4178 \text{ MeV}$</td></tr></tbody></table>

$r_2 \equiv A_2(0)/A_1(0) \text{ in } D_s^+ \to K^*(892)^0 e^+ \nu_e$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.77 ± 0.28 ± 0.07</td><td>155</td><td>ABLIKIM</td><td>19d BES3</td><td>$e^+ e^- \text{ at } 4178 \text{ MeV}$</td></tr></tbody></table>

$f_{D_s^+}^+ | V_{cs} | \text{ in } D_s^+ \to \mu^+ \nu_\mu$

<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>241.8 ± 2.5 ± 2.2</td><td>2.5k</td><td>ABLIKIM</td><td>23BR BES3</td><td>$e^+ e^- \text{ at } 4128-4226 \text{ GeV}$</td></tr></tbody></table>

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

<table><thead><tr><th>243.1 ± 3.0 ± 3.6 ± 1.0</th><th>2.2k</th><th>1,2 ABLIKIM</th><th>21B BES3</th><th>$e^+ e^- \text{ at } 4178, 4226 \text{ GeV}$</th></tr></thead><tbody><tr><td>246.2 ± 3.6 ± 3.5</td><td>1.1k</td><td>2 ABLIKIM</td><td>19E BES3</td><td>$e^+ e^- \text{ at } 4178 \text{ MeV}$</td></tr></tbody></table>

¹The third uncertainty is dominated by the uncertainty of the $D_s^+$ lifetime.

²Superseded by ABLIKIM 23BR.

$f_{D_s^+}^+ | V_{cs} | \text{ in } D_s^+ \to \tau^+ \nu_\tau$

<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>246.6 ± 2.5</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>248.3 ± 3.9 ± 3.1 ± 1.0</td><td>2.4k</td><td>1 ABLIKIM</td><td>23BP BES3</td><td>$e^+ e^- \text{ at } 4128-4226 \text{ GeV}$</td></tr><tr><td>246.7 ± 3.9 ± 3.6</td><td>2.3k</td><td>2 ABLIKIM</td><td>23B BES3</td><td>$e^+ e^- \text{ at } 4128-4226 \text{ GeV}$</td></tr><tr><td>251.6 ± 5.9 ± 4.9</td><td>1.7k</td><td>3 ABLIKIM</td><td>21AF BES3</td><td>$e^+ e^- \text{ at } 4178, 4226 \text{ GeV}$</td></tr><tr><td>244.2 ± 2.3 ± 2.9</td><td>4.9k</td><td>4 ABLIKIM</td><td>21AZ BES3</td><td>$e^+ e^- \text{ at } 4178, 4226 \text{ GeV}$</td></tr></tbody></table>

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

<table><thead><tr><th>243.0 ± 5.8 ± 4.0 ± 1.0</th><th>950</th><th>5,6 ABLIKIM</th><th>21B BES3</th><th>$e^+ e^- \text{ at } 4178, 4226 \text{ GeV}$</th></tr></thead></table>

¹ABLIKIM 23BP uses $\tau^+ \to \pi^+ \nu_\tau$ decays. The third uncertainty is due to the input parameters, mainly the $D_s^+$ lifetime.

²ABLIKIM 23BX uses $\tau^+ \to \mu^+ \nu_\mu \bar{\nu}_\tau$ decays.

³ABLIKIM 21AF uses $\tau^+ \to \pi^+ \nu_\mu \bar{\nu}_\tau$ decays.

⁴ABLIKIM 21AZ uses $\tau^+ \to e^+ \nu_e \bar{\nu}_\tau$ decays.

⁵ABLIKIM 21BE uses $\tau^+ \to \pi^+ \nu_\tau$ decays. When constrained by the Standard Model ratio of $\Gamma(D_s^+ \to \tau^+ \nu_\tau)/\Gamma(D_s^+ \to \mu^+ \nu_\mu) = 9.75$, the result is $243.2 \pm 2.3 \pm 3.3 \pm 1.0$.

⁶The second uncertainty is dominated by the uncertainty of the $D_s^+$ lifetime. Superseded by ABLIKIM 23BP.

### $D_s^\pm$ REFERENCES

<table><tbody><tr><td>AAIJ</td><td>23AN JHEP 2307 204</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>23E JHEP 2304 081</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>23L JHEP 2307 067</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABLIKIM</td><td>23AL PR D107 052010</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>23AV PR D108 032001</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>23BO PR D109 092003</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>23BP PR D108 092014</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>23BR PR D108 112001</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>23BS PR D108 112002</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>23BX JHEP 2309 124</td><td>M. 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Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>22BL JHEP 2209 242</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>22C PR D105 L051103</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>22J PR D105 L031101</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>22Z JHEP 2201 052</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>21T JHEP 2106 044</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>21U JHEP 2106 019</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABLIKIM</td><td>21AB JHEP 2106 181</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>21AE PR D104 012003</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>21AE PR D104 012016</td><td>M. Alikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>21AF PR D104 032001</td><td>M. 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(FNAL E791 Collab.)</td></tr><tr><td>AITALA</td><td>99G</td><td>PL B462 401</td><td>E.M. Aitala et al. (FNAL E791 Collab.)</td></tr><tr><td>BONVICINI</td><td>99</td><td>PL B82 4586</td><td>G. Bonvicini et al. (CLEO Collab.)</td></tr><tr><td>CHADHA</td><td>98</td><td>PR D58 032002</td><td>M. Chada et al. (CLEO Collab.)</td></tr><tr><td>JESSOP</td><td>98</td><td>PR D58 052002</td><td>C.P. Jessop et al. (CLEO Collab.)</td></tr><tr><td>ACCIARRI</td><td>97F</td><td>PL B396 327</td><td>M. Acciarri et al. (L3 Collab.) (FNAL FOCUS Collab.)</td></tr><tr><td>BALEST</td><td>97</td><td>PRL 79 1436</td><td>R. Balest et al. (FNAL FOCUS Collab.)</td></tr><tr><td>FRABETTI</td><td>97C</td><td>PRL 401 131</td><td>P.L. Frabetti et al. (FNAL E687 Collab.)</td></tr><tr><td>FRABETTI</td><td>97D</td><td>PL B407 79</td><td>P.L. Frabetti et al. (FNAL E687 Collab.)</td></tr><tr><td>ARTUSO</td><td>96</td><td>PL B378 364</td><td>M. Artuso et al. (CLEO Collab.)</td></tr><tr><td>BAI</td><td>96</td><td>PL B552 3781</td><td>J.Z. Baier et al. (BES Collab.) (FNAL FOCUS Collab.)</td></tr><tr><td>BRANDENB...</td><td>95</td><td>PRL 75 3804</td><td>G.W. Brandenburg et al. (FNAL FOCUS Collab.)</td></tr><tr><td>FRABETTI</td><td>95B</td><td>PL B351 591</td><td>P.L. Frabetti et al. (FNAL E687 Collab.)</td></tr><tr><td>KODAMA</td><td>95</td><td>PL B345 85</td><td>K. Kodama et al. (FNAL E653 Collab.)</td></tr><tr><td>ACOSTA</td><td>94</td><td>PRL D49 5690</td><td>D. Acosta et al. (CLEO Collab.)</td></tr><tr><td>AVERY</td><td>94B</td><td>PL B337 405</td><td>D. Brown et al. (CLEO Collab.)</td></tr><tr><td>BROWN</td><td>94</td><td>PL D50 1884</td><td>D. Brown et al. (CLEO Collab.)</td></tr><tr><td>BUTLER</td><td>94</td><td>PL B324 255</td><td>F. Butler et al. (FNAL FOCUS Collab.)</td></tr><tr><td>FRABETTI</td><td>94F</td><td>PL B328 187</td><td>P.L. Frabetti et al. (FNAL E687 Collab.)</td></tr><tr><td>FRABETTI</td><td>93F</td><td>PRL 71 827</td><td>P.L. Frabetti et al. (FNAL E687 Collab.)</td></tr><tr><td>FRABETTI</td><td>93G</td><td>PL B313 253</td><td>P.L. Frabetti et al. (FNAL E687 Collab.)</td></tr><tr><td>KODAM</td><td>93</td><td>PL B653 483</td><td>K. Kodama et al. (FNAL E653 Collab.)</td></tr><tr><td>ALBRECHT</td><td>92B</td><td>ZPHY C53 361</td><td>H. Albrecht et al. (ARGUS Collab.)</td></tr><tr><td>ALEXANDER</td><td>92</td><td>PRL 68 1275</td><td>J. Alexander et al. (FNAL FOCUS Collab.)</td></tr><tr><td>AVERY</td><td>92</td><td>PRL 68 1279</td><td>P. Avery et al. (FNAL FOCUS Collab.)</td></tr><tr><td>BARLAG</td><td>92C</td><td>ZPHY C55 383</td><td>S. Bartag et al. (ACCMOR Collab.)</td></tr><tr><td>Also</td><td>92C</td><td>ZPHY C48 29</td><td>S. Bartag et al. (ACCMOR Collab.)</td></tr><tr><td>FRABETTI</td><td>92</td><td>PL B281 167</td><td>P.L. Frabetti et al. (FNAL E687 Collab.)</td></tr><tr><td>ALBRECHT</td><td>91</td><td>PL B255 634</td><td>H. Albrecht et al. (ARGUS Collab.)</td></tr><tr><td>ALVAREZ</td><td>91</td><td>PL B255 639</td><td>M.P. Alvarez et al. (CERN NA14/2 Collab.)</td></tr><tr><td>ALBRECHT</td><td>90D</td><td>PL B245 315</td><td>H. Albrecht et al. (ARGUS Collab.)</td></tr><tr><td>ALEXANDER</td><td>90E</td><td>PR D65 1531</td><td>J. Alexander et al. (FNAL FOCUS Collab.)</td></tr><tr><td>BARLAG</td><td>90C</td><td>ZPHY C46 563</td><td>S. Bartag et al. (ACCMOR Collab.)</td></tr><tr><td>FRABETTI</td><td>90</td><td>PL B251 639</td><td>P.L. Frabetti et al. (FNAL E687 Collab.)</td></tr><tr><td>ANJOS</td><td>89E</td><td>PL B223 267</td><td>J.C. Anjos et al. (FNAL E691 Collab.)</td></tr><tr><td>CHEN</td><td>89</td><td>PL B226 192</td><td>W.Y. Chen et al. (CLEO Collab.)</td></tr><tr><td>ALBRECHT</td><td>88</td><td>PL B207 349</td><td>H. Albrecht et al. (ARGUS Collab.)</td></tr><tr><td>ANJOS</td><td>88</td><td>PR D60 897</td><td>J.C. Anjos et al. (FNAL E691 Collab.)</td></tr><tr><td>RAAB</td><td>88</td><td>PR D37 2391</td><td>J.R. Raab et al. (FNAL E691 Collab.)</td></tr><tr><td>BECKER</td><td>87B</td><td>PL B184 277</td><td>H. Becker et al. (NA11 and NA32 Collabs.)</td></tr><tr><td>BLAYLOCK</td><td>87</td><td>PRL 58 2171</td><td>G.T. Blaylock et al. (Mark III Collab.)</td></tr><tr><td>ASHIDA</td><td>86</td><td>PRL 56 1767</td><td>N. Ushida et al. (FNAL E531 Collab.)</td></tr><tr><td>ALBRECHT</td><td>85D</td><td>PL B53B 343</td><td>H. Albrecht et al. (ARGUS Collab.)</td></tr><tr><td>DERRICK</td><td>85B</td><td>PRL 54 2568</td><td>M. Derrick et al. (HRS Collab.)</td></tr><tr><td>AIHARA</td><td>84D</td><td>PRL 53 2465</td><td>H. Aihara et al. (TPC Collab.)</td></tr><tr><td>ALTHOFF</td><td>84</td><td>PL 136B 130</td><td>M. Althoff et al. (TASSO Collab.)</td></tr><tr><td>BAILEY</td><td>84</td><td>PL 139B 320</td><td>R. Bailey et al. (ACCMOR Collab.)</td></tr><tr><td>CHEN</td><td>83C</td><td>PRL 51 634</td><td>A. Chen et al. (FNAL FOCUS Collab.)</td></tr><tr><td>MOSTELLER</td><td>48</td><td>Am.Stat.3 No.5 30</td><td>R.A. Fisher, F. Mosteller</td></tr></tbody></table>

OTHER RELATED PAPERS

<table><tr><td>RICHMAN</td><td>95</td><td>RMP 67 893</td><td>J.D. Richman, P.R. Burchat</td><td>(UCSB, STAN)</td></tr></table>

$$D_s^{\pm\pm}$$

$$I(J^P) = 0(1^{-})$$

$J^P = 1^{-}$ established by ABLIKIM 23AZ.

$D_s^{\pm\pm}$ MASS

The fit includes $D^{\pm}$, $D^0$, $D_s^{\pm}$, $D^{*\pm}$, $D^{*0}$, $D_s^{*\pm}$, $D_1(2420)^0$, $D_2^0(2460)^0$, and $D_{S1}(2536)^{\pm}$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>2112.2±0.4 OUR FIT</strong></td><td></td><td></td><td></td></tr><tr><td><strong>2106.6±2.1±2.7</strong></td><td>1 BLAYLOCK</td><td>87</td><td>MRK3 e<sup>+</sup>e<sup>-</sup> → D<sub>s</sub><sup>±</sup>γX</td></tr></tbody></table>

$1 \text{ Assuming } D_s^{\pm\pm} \text{ mass} = 1968.7 \pm 0.9 \text{ MeV.}$

$$m_{D_s^{\pm\pm}} - m_{D_s^{\pm\pm}}$$

The fit includes $D^{\pm}$, $D^0$, $D_s^{\pm}$, $D^{*\pm}$, $D^{*0}$, $D_s^{*\pm}$, $D_1(2420)^0$, $D_2^0(2460)^0$, and $D_{S1}(2536)^{\pm}$ mass and mass difference measurements.

<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>143.8 ± 0.4 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>143.9 ± 0.4 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>143.76 ± 0.39 ± 0.40</td><td>GRONBERG</td><td>95</td><td>CLE2</td><td>e<sup>+</sup>e<sup>-</sup></td></tr><tr><td>144.22 ± 0.47 ± 0.37</td><td>BROWN</td><td>94</td><td>CLE2</td><td>e<sup>+</sup>e<sup>-</sup></td></tr><tr><td>142.5 ± 0.8 ± 1.5</td><td><sup>2</sup> ALBRECHT</td><td>88</td><td>ARG</td><td>e<sup>+</sup>e<sup>-</sup> → D<sub>s</sub><sup>±</sup>γX</td></tr><tr><td>139.5 ± 8.3 ± 9.7</td><td>AIHARA</td><td>60</td><td>84D</td><td>TPC e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr></tbody></table>

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

<table><tr><td>143.0 ±18.0</td><td>8</td><td>ASRATYAN</td><td>85</td><td>HLBC</td><td>FNAL 15-ft, ν<sup>-</sup><sup>2</sup>H</td></tr><tr><td>110 ±46</td><td></td><td>BRANDELIK</td><td>79</td><td>DASP</td><td>e<sup>+</sup>e<sup>-</sup> → D<sub>s</sub><sup>±</sup>γX</td></tr></table>

$2 \text{ Result is data of ALBRECHT 84B.}$

$$D_s^{\pm\pm} \text{ WIDTH}$$

<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><strong>&lt; 1.9</strong></td><td>90</td><td>GRONBERG</td><td>95</td><td>CLE2</td><td>e<sup>+</sup>e<sup>-</sup></td></tr><tr><td>&lt; 4.5</td><td>90</td><td>ALBRECHT</td><td>88</td><td>ARG</td><td>E<sub>cm</sub><sup>0</sup> = 10.2 GeV</td></tr></tbody></table>

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

<table><tr><td>&lt; 4.9</td><td>90</td><td>BROWN</td><td>94</td><td>CLE2</td><td>e<sup>+</sup>e<sup>-</sup></td></tr><tr><td>&lt;22</td><td>90</td><td>BLAYLOCK</td><td>87</td><td>MRK3</td><td>e<sup>+</sup>e<sup>-</sup> → D<sub>s</sub><sup>±</sup>γX</td></tr></table>

$$D_s^{\pm\pm} \text{ DECAY MODES}$$

$D_s^{\pm\pm}$ modes are charge conjugates of the modes below.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> D<sub>s</sub><sup>+</sup>γ</td><td>(93.6 ± 0.4)%</td></tr><tr><td>Γ<sub>2</sub> D<sub>s</sub><sup>+</sup>π<sup>0</sup></td><td>(5.77 ± 0.35)%</td></tr><tr><td>Γ<sub>3</sub> D<sub>s</sub><sup>+</sup> e<sup>+</sup> e<sup>-</sup></td><td>(6.7 ± 1.6) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>4</sub> e<sup>+</sup>ν<sub>e</sub></td><td>(2.1 +1.2 -0.9) × 10<sup>-5</sup></td></tr></tbody></table>

CONSTRAINED FIT INFORMATION

An overall fit to 2 branching ratios uses 4 measurements and one constraint to determine 3 parameters. The overall fit has a $\chi^2 = 0.0$ for 2 degrees of freedom.

The following off-diagonal array elements are the correlation coefficients $\langle\delta\chi_i\delta\chi_j\rangle/(\delta\chi_i\delta\chi_j)$, in percent, from the fit to the branching fractions, $\chi_i \equiv \Gamma_i/\Gamma_{\text{total}}$. The fit constrains the $\chi_i$ whose labels appear in this array to sum to one.

<figure><img src="image_569.png" /></figure>

$D_s^{\pm\pm}$ BRANCHING RATIOS

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>ASRATYAN</td><td>91</td><td>HLBC τ<sub>μ</sub> Ne</td></tr><tr><td>seen</td><td>ALBRECHT</td><td>88</td><td>ARG e<sup>+</sup>e<sup>-</sup> → D<sub>s</sub><sup>±</sup>γX</td></tr><tr><td>seen</td><td>AIHARA</td><td>84D</td><td></td></tr><tr><td>seen</td><td>ALBRECHT</td><td>84B</td><td></td></tr><tr><td>seen</td><td>BRANDELIK</td><td>79</td><td></td></tr></tbody></table>
# Meson Particle Listings

$D_s^\pm, D_{s0}^*(2317)^\pm$

$\Gamma(D_s^+ \pi^0)/\Gamma(D_s^+ \gamma)$

VALUE (units 10⁻³)

6.2 ±0.4 OUR FIT

6.2 ±0.4 OUR AVERAGE

6.16 ±0.43 ±0.18

6.2 ±0.5 ±0.6

6.2 +2.0 -1.8 ±2.2

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ABLIKIM</td><td>23P</td><td>BES3 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>AUBERT,BE</td><td>05G</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup> → hadrons</td></tr><tr><td>GRONBERG</td><td>95</td><td>CLE2 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

$\Gamma(D_s^+ e^+ e^-)/\Gamma(D_s^+ \gamma)$

VALUE (units 10⁻³)

7.2 ±1.7 OUR FIT

7.2 +1.5 -1.3 ±1.0

EVTS

38

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>CRONIN-HEN...12</td><td>112</td><td>CLEO 4.17 e<sup>+</sup> e<sup>-</sup> → hadrons</td></tr></tbody></table>

$\Gamma(e^+ \nu_e)/\Gamma_{\text{total}}$

VALUE (units 10⁻⁵)

2.1 +1.2 -0.9 ±0.2

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ABLIKIM</td><td>23BF</td><td>BES3 e<sup>+</sup> e<sup>-</sup> → D<sub>s</sub><sup>-</sup> D<sub>s</sub><sup>++</sup></td></tr></tbody></table>

$\Gamma_2/\Gamma_1$

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

349.6 ±0.4 ±3.0 1267 8,9 AUBERT 03G BABR 10.6 e⁺ e⁻
350.2 ±1.3 273 10,11 AUBERT 03G BABR 10.6 e⁺ e⁻

⁷ Recalculated by us using $m_{D_s^+} = 1968.5 \pm 0.6$ MeV.

⁸ From $D_s^+ \rightarrow K^+ K^- \pi^+ \pi^-$ decay.

⁹ Recalculated by us using $m_{D_s^+} = 1967.20 \pm 0.03$ MeV.

¹⁰ From $D_s^+ \rightarrow K^+ K^- \pi^- \pi^0$ decay.

¹¹ Recalculated by us using $m_{D_s^+} = 1967.4 \pm 0.2$ MeV. Systematic errors not estimated.

$\Gamma_3/\Gamma_1$

$D_{s0}^*(2317)^\pm \text{ WIDTH}$

<table><thead><tr><th>VALUE (MeV)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt; 3.8</td><td>95</td><td>3180</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup> → D<sub>s</sub><sup>+</sup> π<sup>0</sup> X</td></tr><tr><td colspan="6">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt; 4.6</td><td>90</td><td>761</td><td>MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>&lt;10</td><td></td><td></td><td>AUBERT</td><td>03G</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>&lt; 7</td><td>90</td><td>135</td><td>BESSON</td><td>03</td><td>CLE2 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

$\Gamma_4/\Gamma$

$D_{s0}^*(2317)^\pm \text{ DECAY MODES}$

$D_{s0}^*(2317)^\pm$ modes are charge conjugates of modes below.

<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> D<sub>s</sub><sup>+</sup> π<sup>0</sup></td><td>(100<sup>+0</sup><sub>-20</sub> %)</td><td></td></tr><tr><td>Γ<sub>2</sub> D<sub>s</sub><sup>+</sup> γ</td><td>&lt; 5 %</td><td>90%</td></tr><tr><td>Γ<sub>3</sub> D<sub>s</sub><sup>*</sup>(2112)<sup>+</sup> γ</td><td>&lt; 6 %</td><td>90%</td></tr><tr><td>Γ<sub>4</sub> D<sub>s</sub><sup>+</sup> γγ</td><td>&lt; 18 %</td><td>95%</td></tr><tr><td>Γ<sub>5</sub> D<sub>s</sub><sup>*</sup>(2112)<sup>+</sup> π<sup>0</sup></td><td>&lt; 11 %</td><td>90%</td></tr><tr><td>Γ<sub>6</sub> D<sub>s</sub><sup>+</sup> π<sup>+</sup> π<sup>-</sup></td><td>&lt; 4 × 10<sup>-3</sup></td><td>90%</td></tr><tr><td>Γ<sub>7</sub> D<sub>s</sub><sup>+</sup> π<sup>0</sup> π<sup>0</sup></td><td>not seen</td><td></td></tr></tbody></table>

### $D_s^\pm$ REFERENCES

ABLIKIM 23AZ PL B846 138245
ABLIKIM 23BF PRL 131 141802
ABLIKIM 23P PR D107 032011
CRONIN-HEN...12 PR D86 072005
AUBERT,BE 05G PR D72 091101
GRONBERG 95 PRL 75 3232
BROWN 94 PR D50 1884
ASRATYAN 91 PL B257 525
ALBRECHT 88 PL B207 349
BLAYLOCK 87 PRL 58 2171
ASRATYAN 85 PL 156B 441
AIHARA 84D PRL 53 2465
ALBRECHT 84B PL 146B 111
BRANDELIK 79 PL 80B 412

M. Ablikim et al. (BESIII Collab.) JP
M. Ablikim et al. (BESIII Collab.)
M. Ablikim et al. (BESIII Collab.)
D. Cronin-Hennessey et al. (CLEO Collab.)
B. Aubert et al. (BABAR Collab.)
J. Gronberg et al. (CLEO Collab.)
D. Brown et al. (CLEO Collab.)
A.E. Asratyan et al. (ITEP, BELG, SACL+)
H. Albrecht et al. (ARGUS Collab.)
G.T. Blaylock et al. (Mark III Collab.)
A.E. Asratyan et al. (ITEP, SERP)
H. Aihara et al. (TPC Collab.)
H. Albrecht et al. (ARGUS Collab.)
R. Brandelik et al. (DASP Collab.)

$D_{s0}^*(2317)^\pm$

$I(J^P) = 0(0^+)$
$J, P$ need confirmation.

AUBERT 06P and CHOI 15A do not observe neutral and doubly charged partners of the $D_{s0}^*(2317)^+$. See the review on "Heavy Non-q\bar{q} Mesons."

$D_{s0}^*(2317)^\pm \text{ MASS}$

The fit includes $D^\pm, D^0, D_s^\pm, D^*\pm, D^*0, D_s^*\pm, D_1(2420)^0, D_2^*(2460)^0$, and $D_{s1}(2536)^\pm$ mass and mass difference measurements.

<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 colspan="5"><strong>2317.8 ± 0.5 OUR FIT</strong></td></tr><tr><td colspan="5"><strong>2318.0 ± 0.7 OUR AVERAGE</strong></td></tr><tr><td>2318.3 ± 1.2 ± 1.2</td><td>115</td><td>1 ABLIKIM</td><td>18J</td><td>BES3 4.6 e<sup>+</sup> e<sup>-</sup> →<br>D<sub>s</sub><sup>+</sup> D<sub>s0</sub><sup>+</sup>(2317)‡</td></tr><tr><td>2319.6 ± 0.2 ± 1.4</td><td>3.1k</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup> → D<sub>s</sub><sup>+</sup> π<sup>0</sup> X</td></tr><tr><td>2317.3 ± 0.4 ± 0.8</td><td>1.0k</td><td>2 AUBERT</td><td>04E</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2317.2 ± 1.3</td><td>88</td><td>3 AUBERT,B</td><td>04S</td><td>BABR B → D<sub>s0</sub><sup>(*)</sup>(2317)<sup>+</sup> D<sup>(*)</sup></td></tr><tr><td>2317.2 ± 0.5 ± 0.9</td><td>761</td><td>4 MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>2316.8 ± 0.4 ± 3.0</td><td>1.2k</td><td>4,5 AUBERT</td><td>03G</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>2317.6 ± 1.3</td><td>273</td><td>4,6 AUBERT</td><td>03G</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>2319.8 ± 2.1 ± 2.0</td><td>24</td><td>4 KROKOVNY</td><td>03B</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

¹ From a fit of the $D_s^\pm$ recoil mass where the $D_{s0}^*(2317)$ signal is described with a Crystal Ball function convolved with a Gaussian function.

² Supersedes AUBERT 03G.

³ Systematic errors not evaluated.

⁴ Not independent of the corresponding $m_{D_{s0}^*(2317)} - m_{D_s}$.

⁵ From $D_s^+ \rightarrow K^+ K^- \pi^+ \pi^-$ decay.

⁶ From $D_s^+ \rightarrow K^+ K^- \pi^- \pi^0$ decay.

$m_{D_{s0}^*(2317)^\pm} - m_{D_s^\pm}$

The fit includes $D^\pm, D^0, D_s^\pm, D^*\pm, D^*0, D_s^*\pm, D_1(2420)^0, D_2^*(2460)^0$, and $D_{s1}(2536)^\pm$ mass and mass difference measurements.

<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 colspan="5"><strong>349.4 ± 0.5 OUR FIT</strong></td></tr><tr><td colspan="5"><strong>349.2 ± 0.7 OUR AVERAGE</strong></td></tr><tr><td>348.7 ± 0.5 ± 0.7</td><td>761</td><td>MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>350.0 ± 1.2 ± 1.0</td><td>135</td><td>BESSON</td><td>03</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>351.3 ± 2.1 ± 1.9</td><td>24</td><td>7 KROKOVNY</td><td>03B</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

$D_{s0}^*(2317)^\pm \text{ BRANCHING RATIOS}$

<table><thead><tr><th>Γ(D<sub>s</sub><sup>+</sup> π<sup>0</sup>)/Γ<sub>total</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.00<sup>+0.00</sup><sub>-0.14</sub> ± 0.00</td><td>47</td><td>ABLIKIM</td><td>18J</td><td>BES3 4.6 e<sup>+</sup> e<sup>-</sup> →<br>D<sub>s</sub><sup>+</sup> D<sub>s0</sub><sup>+</sup>(2317)‡</td></tr></tbody></table>

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

seen 1.5k AUBERT 03G BABR 10.6 e<sup>+</sup> e<sup>-</sup>

<table><thead><tr><th>Γ(D<sub>s</sub><sup>+</sup> γ)/Γ(D<sub>s</sub><sup>+</sup> π<sup>0</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.05</td><td>90</td><td>MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;0.14</td><td>95</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>&lt;0.052</td><td>90</td><td>BESSON</td><td>03</td><td>CLE2 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

<table><thead><tr><th>Γ(D<sub>s</sub><sup>+</sup>2112)<sup>+</sup> γ)/Γ(D<sub>s</sub><sup>+</sup> π<sup>0</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.059</td><td>90</td><td>BESSON</td><td>03</td><td>CLE2 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;0.16</td><td>95</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>&lt;0.18</td><td>90</td><td>MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

<table><thead><tr><th>Γ(D<sub>s</sub><sup>+</sup> γγ)/Γ(D<sub>s</sub><sup>+</sup> π<sup>0</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.18</td><td>95</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
not seen AUBERT 03G BABR 10.6 e<sup>+</sup> e<sup>-</sup>

<table><thead><tr><th>Γ(D<sub>s</sub><sup>+</sup>2112)<sup>+</sup> π<sup>0</sup>)/Γ(D<sub>s</sub><sup>+</sup> π<sup>0</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.11</td><td>90</td><td>BESSON</td><td>03</td><td>CLE2 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

<table><thead><tr><th>Γ(D<sub>s</sub><sup>+</sup> π<sup>+</sup> π<sup>-</sup>)/Γ(D<sub>s</sub><sup>+</sup> π<sup>0</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.004</td><td>90</td><td>MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

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

• • • 0.005 95 AUBERT 06P BABR 10.6 e<sup>+</sup> e<sup>-</sup>
• • • 0.019 90 BESSON 03 CLE2 10.6 e<sup>+</sup> e<sup>-</sup>

<table><thead><tr><th>Γ(D<sub>s</sub><sup>+</sup> π<sup>0</sup> π<sup>0</sup>)/Γ(D<sub>s</sub><sup>+</sup> π<sup>0</sup>)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.25</td><td>95</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>
$D_{s0}^*(2317)^{\pm}$ REFERENCES

<table><tr><td>ABLIKIM</td><td>18J</td><td>PR D97 051103</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>CHOI</td><td>15A</td><td>PR D91 092011</td><td>S.-K. Choi et al.</td><td>(BELLE Collab.)</td></tr><tr><td>AUBERT</td><td>06P</td><td>PR D74 032007</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>AUBERT,B</td><td>04E</td><td>PR D69 031101</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>AUBERT,B</td><td>04S</td><td>PRL 93 181801</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>MIKAMI</td><td>04</td><td>PRL 92 012002</td><td>Y. Mikami et al.</td><td>(BELLE Collab.)</td></tr><tr><td>AUBERT</td><td>03G</td><td>PRL 90 242001</td><td>AUBERT et al.</td><td>(BABAR Collab.)</td></tr><tr><td>BESSON</td><td>03</td><td>PR D68 032002</td><td>D. Besson et al.</td><td>(CLEO Collab.)</td></tr><tr><td>KROKOVNY</td><td>03B</td><td>PRL 91 262002</td><td>P. Krokovny et al.</td><td>(BELLE Collab.)</td></tr></table>

$$D_{s1}(2460)^{\pm}$$

$$I(J^P) = 0(1^+)$$

See the review on "Heavy Non-$q\bar{q}$ Mesons."

$D_{s1}(2460)^{\pm}$ MASS

The fit includes $D^{\pm}, D^0, D_s^{\pm}, D^{*\pm}, D^{*0}, D_s^{*\pm}, D_1(2420)^0, D_2^*(2460)^0$, and $D_{s1}(2536)^{\pm}$ mass and mass difference measurements.

<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>2459.5 ± 0.6 OUR FIT</td><td></td><td></td><td></td><td>Error includes scale factor of 1.1.</td></tr><tr><td>2459.6 ± 0.9 OUR AVERAGE</td><td></td><td></td><td></td><td>Error includes scale factor of 1.3.</td></tr><tr><td>2460.1 ± 0.2 ± 0.8</td><td></td><td>1 AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>2458.0 ± 1.0 ± 1.0</td><td></td><td>195 AUBERT</td><td>04E</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2459.5 ± 1.2 ± 3.7</td><td>920</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup> → D<sub>s</sub><sup>+</sup>γX</td></tr><tr><td>2458.6 ± 1.0 ± 2.5</td><td>560</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup> → D<sub>s</sub><sup>+</sup>π<sup>0</sup>γX</td></tr><tr><td>2460.2 ± 0.2 ± 0.8</td><td>123</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup> → D<sub>s</sub><sup>+</sup>π<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2458.9 ± 1.5</td><td>112</td><td>2 AUBERT,B</td><td>04S</td><td>BABR B → D<sub>s1</sub>(2460)<sup>+</sup> D<sup>(*)</sup></td></tr><tr><td>2461.1 ± 1.6</td><td>139</td><td>3 AUBERT,B</td><td>04S</td><td>BABR B → D<sub>s1</sub>(2460)<sup>+</sup> D<sup>(*)</sup></td></tr><tr><td>2456.1 ± 1.3 ± 1.3</td><td>126</td><td>4,5 MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>2459.5 ± 1.3 ± 2.0</td><td>152</td><td>6,7 MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>2459.9 ± 0.9 ± 1.6</td><td>60</td><td>6,7 MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>2459.2 ± 1.6 ± 2.0</td><td>57</td><td>KROKOVNY</td><td>03B</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

1. The average of the values obtained from the $D_s^+\gamma, D_s^+\pi^0\gamma, D_s^+\pi^+\pi^-$ final state.

2. Systematic errors not evaluated. From the decay to $D_s^+\pi^0$.

3. Systematic errors not evaluated. From the decay to $D_s^+\gamma$.

4. Not independent of the corresponding $m_{D_{s1}(2460)} \pm m_{D_s^{*+}}$.

5. Using $m_{D_s^{*+}} = 2112.4 \pm 0.7$ MeV.

6. Not independent of the corresponding $m_{D_{s1}(2460)} \pm m_{D_s^{*+}}$.

7. Using $m_{D_s^{*+}} = 1968.5 \pm 0.6$ MeV.

$$m_{D_{s1}(2460)^{\pm}} - m_{D_s^{*\pm}}$$

The fit includes $D^{\pm}, D^0, D_s^{\pm}, D^{*\pm}, D^{*0}, D_s^{*\pm}, D_1(2420)^0, D_2^*(2460)^0$, and $D_{s1}(2536)^{\pm}$ mass and mass difference measurements.

<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>347.3 ± 0.7 OUR FIT</td><td></td><td></td><td></td><td>Error includes scale factor of 1.2.</td></tr><tr><td>347.1 ± 2.2 OUR AVERAGE</td><td></td><td></td><td></td><td>Error includes scale factor of 1.9. See the ideogram below.</td></tr><tr><td>344.1 ± 1.3 ± 1.1</td><td>126</td><td>MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>351.2 ± 1.7 ± 1.0</td><td>41</td><td>BESSON</td><td>03</td><td>CLE2 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>346.8 ± 1.6 ± 1.9</td><td>57</td><td>8 KROKOVNY</td><td>03B</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

8. Recalculated by us using $m_{D_s^{*+}} = 2112.4 \pm 0.7$ MeV.

<figure><img src="image_570.png" /><figcaption>WEIGHTED AVERAGE
347.1±2.2 (Error scaled by 1.9)</figcaption></figure>

$$m_{D_{s1}(2460)^{\pm}} - m_{D_s^{*\pm}}$$

The fit includes $D^{\pm}, D^0, D_s^{\pm}, D^{*\pm}, D^{*0}, D_s^{*\pm}, D_1(2420)^0, D_2^*(2460)^0$, and $D_{s1}(2536)^{\pm}$ mass and mass difference measurements.

<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>491.1 ± 0.6 OUR FIT</td><td></td><td></td><td></td><td>Error includes scale factor of 1.1.</td></tr><tr><td>491.3 ± 1.4 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>491.0 ± 1.3 ± 1.9</td><td>152</td><td>9 MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>491.4 ± 0.9 ± 1.5</td><td>60</td><td>10 MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

9. From the decay to $D_s^{*\pm}\gamma$.

10. From the decay to $D_s^{*\pm}\pi^+\pi^-\gamma$.

$D_{s1}(2460)^{\pm}$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>CL<sub>5</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><b>&lt; 3.5</b></td><td>95</td><td>123</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup> → D<sub>s</sub><sup>+</sup>π<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td colspan="6">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt; 6.3</td><td>95</td><td>560</td><td>AUBERT</td><td>06P</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup> → D<sub>s</sub><sup>+</sup>π<sup>0</sup>γX</td></tr><tr><td>&lt; 10</td><td>195</td><td></td><td>AUBERT</td><td>04E</td><td>BABR 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>&lt; 5.5</td><td>90</td><td>126</td><td>MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>&lt; 7</td><td>90</td><td>41</td><td>BESSON</td><td>03</td><td>CLE2 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>

$D_{s1}(2460)^{\pm}$ DECAY MODES

$D_{s1}(2460)^{\pm}$ modes are charge conjugates of the modes below.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th><th>Scale factor/<br>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> D<sub>s</sub><sup>+</sup>π<sup>0</sup></td><td>(48 ± 11 ) %</td><td></td></tr><tr><td>Γ<sub>2</sub> D<sub>s</sub><sup>+</sup>γ</td><td>(18 ± 4 ) %</td><td></td></tr><tr><td>Γ<sub>3</sub> D<sub>s</sub><sup>+</sup>π<sup>+</sup>π<sup>-</sup></td><td>( 4.3 ± 1.3 ) %</td><td>S=1.1</td></tr><tr><td>Γ<sub>4</sub> D<sub>s</sub><sup>+</sup>γ</td><td>&lt; 8 %</td><td>CL=90%</td></tr><tr><td>Γ<sub>5</sub> D<sub>s</sub><sup>*</sup>(2317)<sup>+</sup>γ</td><td>( 3.7 ± 5.0 ) %</td><td></td></tr><tr><td>Γ<sub>6</sub> D<sub>s</sub><sup>+</sup>π<sup>0</sup></td><td></td><td></td></tr><tr><td>Γ<sub>7</sub> D<sub>s</sub><sup>+</sup>π<sup>0</sup>π<sup>0</sup></td><td></td><td></td></tr><tr><td>Γ<sub>8</sub> D<sub>s</sub><sup>+</sup>γγ</td><td></td><td></td></tr></tbody></table>

CONSTRAINED FIT INFORMATION

An overall fit to 7 branching ratios uses 8 measurements and one constraint to determine 5 parameters. The overall fit has a $\chi^2 = 3.4$ for 4 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, $x_i \equiv \Gamma_i/\Gamma_{\text{total}}$. The fit constrains the $x_i$ whose labels appear in this array to sum to one.

<figure><img src="image_571.png" /></figure>

$D_{s1}(2460)^{\pm}$ BRANCHING RATIOS

<table><thead><tr><th>Γ(D<sub>s</sub><sup>+</sup>π<sup>0</sup>) / Γ<sub>total</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.48 ± 0.11 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>0.56 ± 0.13 ± 0.09</td><td></td><td>11 AUBERT</td><td>06N</td><td>BABR B → D<sub>s1</sub>(2460)<sup>-</sup> D<sup>(*)</sup></td></tr></tbody></table>

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

seen 41 BESSON 03 CLE2 10.6 e<sup>+</sup> e<sup>-</sup>

11 Evaluated in AUBERT 06N including measurements from AUBERT, B 04S.

<table><thead><tr><th>Γ(D<sub>s</sub><sup>+</sup>γ) / Γ(D<sub>s</sub><sup>+</sup>π<sup>0</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.18 ± 0.04 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>0.16 ± 0.04 ± 0.03</td><td></td><td>12 AUBERT</td><td>06N</td><td>BABR B → D<sub>s1</sub>(2460)<sup>-</sup> D<sup>(*)</sup></td></tr></tbody></table>

12 Evaluated in AUBERT 06N including measurements from AUBERT, B 04S.

<table><thead><tr><th>Γ(D<sub>s</sub><sup>+</sup>γ) / Γ(D<sub>s</sub><sup>+</sup>π<sup>0</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.38 ± 0.05 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>0.44 ± 0.09 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.55 ± 0.13 ± 0.08</td><td>152</td><td>MIKAMI</td><td>04</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>0.38 ± 0.11 ± 0.04</td><td>38</td><td>KROKOVNY</td><td>03B</td><td>BELL 10.6 e<sup>+</sup> e<sup>-</sup></td></tr></tbody></table>