²Measured using $D^0 \to K^+K^-$ decays, combines measurements with $D^0$ either from partially reconstructed semileptonic B hadron decays or from $D^{*+} \to D^0\pi^+$.

³Measured using $D^0 \to \pi^+\pi^-$ decays, combines measurements with $D^0$ either from partially reconstructed semileptonic B hadron decays or from $D^{*+} \to D^0\pi^+$.

⁴An improved measurement of $D^0 - D^0$ mixing and a search for CP violation in $D^0$ decays to CP-even final states $K^+K^-$ and $\pi^+\pi^-$ using the final Belle data sample of 976 fb⁻¹.

⁵Combined result from $D^0 \to K^+K^-$ and $D^0 \to \pi^+\pi^-$, with $D^0$ from $D^{*+} \to D^0\pi^+$ (and cc).

⁶Measured using $D^{*+} \to D^0\pi^+$, $D^0 \to K^+K^-$ decays (and cc).

⁷Measured using $D^{*+} \to D^0\pi^+$, $D^0 \to \pi^+\pi^-$ decays (and cc).

⁸Measured using $D^0 \to K^+K^-$ decays, with $D^0$ from partially reconstructed semileptonic B hadron decays.

⁹Measured using $D^0 \to \pi^+\pi^-$ decays, with $D^0$ from partially reconstructed semileptonic B hadron decays.

WEIGHTED AVERAGE
0.09±0.17 (Error scaled by 1.5)

<figure><img src="image_542.png" /></figure>

$$\phi K_S^0 \pi \pi$$

Parametrizes CP violation in the interference between $D^0$ mixing and decay. The mass eigenstates $D_1^0$ and $D_2^0$ are related to the $C = \pm 1$ states by $|D_{1,2}^0 > = p|D^0 > + q|D^0 >$. In the absence of CP violation in the decay, and using the usual phase convention where CP conservation implies $q/p$ is real, $\phi K_S^0 \pi \pi$ is identical to the decay-mode-independent parameter $\phi = \arg(q/p)$.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.02 +0.04<br>-0.05</strong></td><td colspan="4"><strong>OUR AVERAGE</strong></td></tr><tr><td>0.056 +0.047<br>-0.051</td><td>30.6M</td><td>1 AAIJ</td><td>21AB LHCB</td><td>pp at 13 TeV</td></tr><tr><td>-0.09 +0.11<br>-0.16</td><td>2.3M</td><td>2 AAIJ</td><td>19x LHCB</td><td>pp at 7, 8 TeV</td></tr><tr><td>-0.10 ±0.19 +0.07<br>-0.09</td><td>1.2M</td><td>3 PENG</td><td>BELL</td><td>e<sup>+</sup>e<sup>-</sup> at γ(4S,5S)</td></tr></tbody></table>

¹AAIJ 21AB result comes from form analysis of $D^0 \to K_S^0 \pi^+\pi^-$ events.

²AAIJ 19x result comes from form analysis of $D^0 \to K_S^0 \pi^+\pi^-$ events. $D^0$ come from $D^{*+}$ and $\bar{D}^0 \to D^0\mu^-\chi$ decays (and c.c.) in pp collisions at 7 and 8 TeV.

³PENG 14 reports $-0.10 \pm 0.19 \pm 0.05^{+0.05}_{-0.07}$ value where the last uncertainty is due to the amplitude model. We have added the systematic uncertainties in quadrature.

### cos $\delta$

$\delta$ is the $D^0 \to K^+\pi^-$ relative strong phase.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.990±0.025</strong></td><td colspan="3"><strong>OUR AVERAGE</strong></td></tr><tr><td>0.991 +0.021 +0.012<br>-0.022 -0.015</td><td>1 ABLIKIM</td><td>22BM BES3</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup> D<sup>0</sup>, 3.77 GeV</td></tr><tr><td>1.02 ±0.11 ±0.06</td><td>2 ABLIKIM</td><td>14C BES3</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup> D<sup>0</sup>, 3.77 GeV</td></tr><tr><td>0.81 +0.22 +0.07<br>-0.18 -0.05</td><td>3 ASNER</td><td>12 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup> D<sup>0</sup>, 3.77 GeV</td></tr></tbody></table>

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

<table><tr><td>1.03 +0.31<br>-0.17 ±0.06</td><td>4 ASNER</td><td>08 CLEO</td><td>Repl. by ASNER 12</td></tr></table>

¹Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$ to measure the asymmetry of the branching fraction of $D^0 \to K^-\pi^+$ in CP-odd and CP-even eigenstates to be (13.2 ± 1.1 ± 0.7)% and (13.0 ± 1.2 ± 0.8)% when using the predominantly CP-even tag $D^0 \to \pi^+\pi^-\pi^0$. A fit that includes external measurements of charm mixing parameters finds the value quoted above.

²Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$ to measure the asymmetry of the branching fraction of $D^0 \to K^-\pi^+$ in CP-odd and CP-even eigenstates to be (12.7 ± 1.3 ± 0.7)%. A fit that includes external measurements of charm mixing parameters finds the value quoted above.

³Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where decay rates of CP-tagged $K\pi$ final states depend on the strong phases between the decays of $D^0 \to K^+\pi^-$ and $\bar{D}^0 \to K^+\pi^-$. The measurements obtained $\sin(\delta) = -0.01 \pm 0.41 \pm 0.04$ and $|\delta| = (10^{+28}_{-53} + 13^{+0}_{-00})^\circ$ as well. A fit that includes external measurements of charm mixing parameters finds $\cos(\delta) = 1.15^{+0.19}_{-0.17} \pm 0.08 \sin(\delta) = 0.56^{+0.32}_{-0.31} \pm 0.21 \pm (18^{+11}_{-17})^\circ$.

⁴ASNER 08 uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where decay rates of CP-tagged $K\pi$ final states depend on $\cos \delta$ because of interfering amplitudes. The above measurement implies $|\delta| < 75^\circ$ with a confidence level of 95%. A fit that includes external measurements of charm mixing parameters finds $\cos \delta = 1.10 \pm 0.35 \pm 0.07$. See also the note on "$D^0 - \bar{D}^0$ Mixing" p. 783 in our 2008 Review (PDG 08).

### $D^0 \to K^-\pi^+\pi^0$ COHERENCE FACTOR $R_{K\pi\pi 0}$

See the note on "$D^0 - \bar{D}^0$ Mixing" for the definition. $R_{K\pi\pi 0}$ can have any value between 0 and 1. A value near 1 indicates the decay is dominated by a few intermediate states with limited interference.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>0.792±0.033</strong> OUR AVERAGE</td></tr><tr><td>0.78 ±0.04</td><td>62.4k</td><td>1 ABLIKIM</td><td>21AA BES3</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup> D<sup>0</sup> at ψ(3770)</td></tr><tr><td>0.82 ±0.06</td><td>1,2,3 EVANS</td><td>16</td><td></td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup> D<sup>0</sup> at ψ(3770)</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.82 ±0.07</td><td>1,3 LIBBY</td><td>14</td><td>Repl. by EVANS 16</td><td></td></tr><tr><td>0.78 ±0.11<br>-0.25</td><td>4 LOWREY</td><td>09 CLEO</td><td>Repl. by LIBBY 14</td><td></td></tr></tbody></table>

¹Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the decay rates of CP-tagged $K^-\pi^+\pi^0$ final states depend on $R_{K\pi\pi 0}$ and $\delta K\pi\pi 0$.

²A combined fit with a recent LHCb $D^0\bar{D}^0$ mixing results in AAIJ 16F is also reported to be $0.81 \pm 0.06$.

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

⁴LOWREY 09 uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the decay rates of CP-tagged $K^-\pi^+\pi^0$ final states depend on $R_{K\pi\pi 0}$ and $\delta K\pi\pi 0$. A fit that includes external measurements of charm mixing parameters gets $R_{K\pi\pi 0} = 0.84 \pm 0.07$.

### $D^0 \to K^-\pi^+\pi^0$ AVERAGE RELATIVE STRONG PHASE $\delta K\pi\pi 0$

The quoted value of $\delta$ is based on the same sign CP phase of $D^0$ and $\bar{D}^0$ convention.

<table><thead><tr><th>VALUE (°)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>198±10</strong> OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>196<sup>+14</sup><sub>-15</sub></td><td>62.4k</td><td>1 ABLIKIM</td><td>21AA BES3</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup> D<sup>0</sup> at ψ(3770)</td></tr><tr><td>199<sup>+13</sup><sub>-14</sub></td><td>1,2,3 EVANS</td><td>16</td><td></td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup> D<sup>0</sup> at ψ(3770)</td></tr></tbody></table>

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

<table><tr><td>164<sup>+20</sup><sub>-14</sub></td><td>1,3 LIBBY</td><td>14</td><td>Repl. by EVANS 16</td></tr><tr><td>239<sup>+32</sup><sub>-28</sub></td><td>4 LOWREY</td><td>09 CLEO</td><td>Repl. by LIBBY 14</td></tr></table>

¹Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the decay rates of CP-tagged $K^-\pi^+\pi^0$ final states depend on $R_{K\pi\pi 0}$ and $\delta K\pi\pi 0$.

²A combined fit with a recent LHCb $D^0\bar{D}^0$ mixing results in AAIJ 16F is also reported to be $198^{+14}_{-15}$ degree.

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

⁴LOWREY 09 uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the decay rates of CP-tagged $K^-\pi^+\pi^0$ final states depend on $R_{K\pi\pi 0}$ and $\delta K\pi\pi 0$.

A fit that includes external measurements of charm mixing parameters gets $\delta K\pi\pi 0 = (227^{+14}_{-17})^\circ$.

### $D^0 \to K^-\pi^-2\pi^+$ COHERENCE FACTOR $R_{K3\pi}$

See the note on "$D^0 - \bar{D}^0$ Mixing" for the definition. $R_{K3\pi}$ can have any value between 0 and 1. A value near 1 indicates the decay is dominated by a few intermediate states with limited interference.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.52 +0.10<br>-0.09</strong></td><td colspan="4"><strong>OUR AVERAGE</strong></td></tr><tr><td>0.52 +0.12<br>-0.10</td><td>8.6k</td><td>1 ABLIKIM</td><td>21AA BES3</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup> D<sup>0</sup> at ψ(3770)</td></tr><tr><td>0.53 +0.18<br>-0.21</td><td>1,2,3 EVANS</td><td>16</td><td></td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup> D<sup>0</sup> at ψ(3770), pp at 7,8 TeV</td></tr></tbody></table>

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

<table><tr><td>0.458±0.010±0.023</td><td>0.9M,3k</td><td>4 AAIJ</td><td>18A1 LHCB</td><td>amplitude models</td></tr><tr><td>0.32 +0.20<br>-0.28</td><td>1,3 LIBBY</td><td>14</td><td></td><td>Repl. by EVANS 16</td></tr><tr><td>0.36 +0.24<br>-0.30</td><td>5 LOWREY</td><td>09 CLEO</td><td>Repl. by LIBBY 14</td><td></td></tr></table>

¹Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the decay rates of CP-tagged $K^-\pi^-2\pi^+$ final states depend on $R_{K3\pi}$ and $\delta K3\pi$.

²A combined fit with a recent LHCb $D^0\bar{D}^0$ mixing results in AAIJ 16F is also reported, to be $0.43^{+0.17}_{-0.13}$.

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

⁴Calculated from amplitude models to $D^0 \to K^-\pi^-2\pi^+$ and $D^0 \to K^+\pi^+2\pi^-$ and cc. Reports $0.458 \pm 0.010 \pm 0.012 \pm 0.020$ value where the 3rd uncertainty is the model uncertainty. We combined both systematic uncertainties in quadrature. Because of the importance of model independence in the practical use of the coherence factor, we do not include model-derived results in the average.

⁵LOWREY 09 uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the decay rates of CP-tagged $K^-\pi^-2\pi^+$ final states depend on $R_{K3\pi}$ and $\delta K3\pi$. A fit that includes external measurements of charm mixing parameters gets $R_{K3\pi} = 0.33^{+0.26}_{-0.23}$.
### D⁰ → K⁻π⁻2π⁺ AVERAGE RELATIVE STRONG PHASE δK³π

The quoted value of δ is based on the same sign CP phase of D⁰ and D⁰ convention.

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

### 149+26/-16 OUR AVERAGE

<table><thead><tr><th>167+31/-19</th><th>8.6k</th><th>1 ABLIKIM</th><th>21AA BES3</th><th>e⁺e⁻ → D⁰D⁰ at ψ(3770)</th></tr></thead><tbody><tr><td>125+22/-14</td><td>1.2,3 EVANS</td><td>16</td><td></td><td>e⁺e⁻ → D⁰D⁰ at ψ(3770)</td></tr></tbody></table>

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

<table><thead><tr><th>255+21/-78</th><th>1,3 LIBBY</th><th>14</th><th>Repl. by EVANS 16</th></tr></thead><tbody><tr><td>118+62/-53</td><td>4 LOWREY</td><td>09</td><td>CLEO Repl. by LIBBY 14</td></tr></tbody></table>

¹ Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the decay rates of CP-tagged $K^-\pi^-2\pi^+$ final states depend on $R_K3\pi$ and $\delta K^3\pi$.

² A combined fit with a recent LHCb $D^0\bar{D}^0$ mixing results in AAIJ 16F is also reported to be $(128^{+28}_{-17})^\circ$.

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

⁴ LOWREY 09 uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the decay rates of CP-tagged $K^-\pi^-2\pi^+$ final states depend on $R_K3\pi$ and $\delta K^3\pi$. A fit that includes external measurements of charm mixing parameters gets $\delta K^3\pi = (114^{+26}_{-23})^\circ$.

### D⁰ → K⁻π⁻2π⁺, Rₖ₃π (y cosδK³π - x sinδK³π)

<table><thead><tr><th>VALUE (10⁻³ TeV⁻¹)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-3.0±0.7</td><td>42.5k</td><td>1 AAIJ</td><td>16F</td><td>LHCB pp at 7, 8 TeV</td></tr></tbody></table>

¹ From a time-dependent analysis of D mixing in $D^0 \to K^+\pi^-\pi^+\pi^-$. This result uses external constraints on $R_M = 1/2$ ($\chi^2 + \nu^2$). Without such constraints, AAIJ 16F measure $(0.3 \pm 1.8) \times 10^{-3}$, with a large correlation coefficient to $R_M$.

### D⁰ → K⁰S K⁺π⁻ COHERENCE FACTOR Rₖ₈Kₖ₄

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.70±0.08</td><td>1 INSLER</td><td>12</td><td>CLEO e⁺e⁻ → D⁰D⁰ at 3.77 GeV</td></tr></tbody></table>

¹ Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the signal side D decays to $K_\pi^0K_\pi$ and the tag-side D decays to $K_\pi, K_\pi\pi\pi, K_\pi\pi\pi^0$, and 10 additional CP-even, CP-odd, and mixed CP modes involving $K_\pi^0$ or $K_L^0$.

### D⁰ → K⁰S K⁺π⁻ AVERAGE RELATIVE STRONG PHASE δK⁰S Kₖ₄

The quoted value of δ is based on the same sign CP phase of D⁰ and D⁰ convention.

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.1±15.7</td><td>1 INSLER</td><td>12</td><td>CLEO e⁺e⁻ → D⁰D⁰ at 3.77 GeV</td></tr></tbody></table>

¹ Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the signal side D decays to $K_\pi^0K_\pi$ and the tag-side D decays to $K_\pi, K_\pi\pi\pi, K_\pi\pi\pi^0$, and 10 additional CP-even, CP-odd, and mixed CP modes involving $K_\pi^0$ or $K_L^0$.

### D⁰ → K⁺K COHERENCE FACTOR Rₖ₈Kₖ₄

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.94±0.12</td><td>1 INSLER</td><td>12</td><td>CLEO e⁺e⁻ → D⁰D⁰ at 3.77 GeV</td></tr></tbody></table>

¹ Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the signal side D decays to $K_\pi^0K_\pi$ and the tag-side D decays to $K_\pi, K_\pi\pi\pi, K_\pi\pi\pi^0$, and 10 additional CP-even, CP-odd, and mixed CP modes involving $K_\pi^0$ or $K_L^0$.

### D⁰ → K⁺K AVERAGE RELATIVE STRONG PHASE δK⁺K

The quoted value of δ is based on the same sign CP phase of D⁰ and D⁰ convention.

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-16.6±18.4</td><td>1 INSLER</td><td>12</td><td>CLEO e⁺e⁻ → D⁰D⁰ at 3.77 GeV</td></tr></tbody></table>

¹ Uses quantum correlations in $e^+e^- \to D^0\bar{D}^0$ at the $\psi(3770)$, where the signal side D decays to $K_\pi^0K_\pi$ and the tag-side D decays to $K_\pi, K_\pi\pi\pi, K_\pi\pi\pi^0$, and 10 additional CP-even, CP-odd, and mixed CP modes involving $K_\pi^0$ or $K_L^0$.

### D⁰ DECAY MODES

Most decay modes (other than the semileptonic modes) that involve a neutral K meson are now given as $K_\pi^0$ modes, not as $\bar{K}^0$ modes. Nearly always it is a $K_\pi^0$ that is measured, and interference between Cabibbo-allowed and doubly Cabibbo-suppressed modes can invalidate the assumption that $2\Gamma(K_\pi^0) = \Gamma(\bar{K}^0)$.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Scale factor/<br>Confidence level</th></tr></thead></table>

### Topological modes

<table><tbody><tr><td>Γ<sub>1</sub> 0-prongs</td><td>[a] (15 ± 6) %</td></tr><tr><td>Γ<sub>2</sub> 2-prongs</td><td>(71 ± 6) %</td></tr><tr><td>Γ<sub>3</sub> 4-prongs</td><td>[b] (14.6 ± 0.5) %</td></tr><tr><td>Γ<sub>4</sub> 6-prongs</td><td>[c] (6.5 ± 1.3) × 10<sup>-4</sup></td></tr></tbody></table>

### Inclusive modes

<table><tbody><tr><td>Γ<sub>5</sub> e<sup>+</sup> anything</td><td>[d] (6.49 ± 0.11) %</td></tr><tr><td>Γ<sub>6</sub> μ<sup>+</sup> anything</td><td>(6.8 ± 0.6) %</td></tr><tr><td>Γ<sub>7</sub> K<sup>-</sup> anything</td><td>(54.7 ± 2.8) %</td></tr><tr><td>Γ<sub>8</sub> K<sub>S</sub><sup>0</sup> anything</td><td>(20.75 ± 0.23) %</td></tr><tr><td>Γ<sub>9</sub> K<sup>+</sup> anything</td><td>(3.4 ± 0.4) %</td></tr><tr><td>Γ<sub>10</sub> K<sup>*</sup>(892)<sup>-</sup> anything</td><td>(15 ± 9) %</td></tr><tr><td>Γ<sub>11</sub> K<sup>*</sup>(892)<sup>0</sup> anything</td><td>(9 ± 4) %</td></tr><tr><td>Γ<sub>12</sub> K<sup>*</sup>(892)<sup>+</sup> anything</td><td>&lt; 3.6 %</td></tr><tr><td>Γ<sub>13</sub> K<sup>*</sup>(892)<sup>0</sup> anything</td><td>(2.8 ± 1.3) %</td></tr><tr><td>Γ<sub>14</sub> η anything</td><td>(9.5 ± 0.9) %</td></tr><tr><td>Γ<sub>15</sub> η' anything</td><td>(2.48 ± 0.27) %</td></tr><tr><td>Γ<sub>16</sub> φ anything</td><td>(1.08 ± 0.04) %</td></tr><tr><td>Γ<sub>17</sub> π<sup>+</sup>π<sup>+</sup>π<sup>-</sup> anything</td><td>(17.60 ± 0.25) %</td></tr><tr><td>Γ<sub>18</sub> invisibles</td><td>&lt; 9.4 × 10<sup>-5</sup></td></tr></tbody></table>

### Semileptonic modes

<table><tbody><tr><td>Γ<sub>19</sub> K<sup>-</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>(3.549 ± 0.026) %</td></tr><tr><td>Γ<sub>20</sub> K<sup>-</sup>e<sup>+</sup>ν<sub>e</sub></td><td>(3.41 ± 0.04) %</td></tr><tr><td>Γ<sub>21</sub> K<sup>-</sup>μ<sup>+</sup>ν<sub>μ</sub></td><td>(2.15 ± 0.16) %</td></tr><tr><td>Γ<sub>22</sub> K<sup>*</sup>(892)<sup>-</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(1.89 ± 0.24) %</td></tr><tr><td>Γ<sub>23</sub> K<sup>*</sup>(892)<sup>0</sup> μ<sup>+</sup>ν<sub>μ</sub></td><td>(1.6 ± 1.3) %</td></tr><tr><td>Γ<sub>24</sub> K<sup>-</sup>π<sup>0</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(2.8 ± 1.3) %</td></tr><tr><td>Γ<sub>25</sub> K<sup>0</sup>π<sup>-</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(1.44 ± 0.04) %</td></tr><tr><td>Γ<sub>26</sub> (K<sup>0</sup>π<sup>-</sup>)<sub>S-wave</sub> e<sup>+</sup>ν<sub>e</sub></td><td>(7.9 ± 1.7) × 10<sup>-4</sup></td></tr><tr><td>Γ<sub>27</sub> K<sup>-</sup>π<sup>+</sup>π<sup>-</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(2.8 ± 1.4) × 10<sup>-4</sup></td></tr><tr><td>Γ<sub>28</sub> K<sub>1</sub>(1270)<sup>-</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(1.01 ± 0.18) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>29</sub> K<sup>-</sup>π<sup>+</sup>π<sup>+</sup>ν<sub>μ</sub></td><td>&lt; 1.3 × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>30</sub> (K<sup>*</sup>(892)π<sup>-</sup>)π<sup>+</sup>ν<sub>μ</sub></td><td>&lt; 1.5 × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>31</sub> π<sup>-</sup>e<sup>+</sup>ν<sub>e</sub></td><td>(2.91 ± 0.04) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>32</sub> π<sup>-</sup>μ<sup>+</sup>ν<sub>μ</sub></td><td>(2.67 ± 0.12) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>33</sub> π<sup>-</sup>π<sup>0</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(1.45 ± 0.07) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>34</sub> ρ<sup>-</sup>e<sup>+</sup>ν<sub>e</sub></td><td>(1.50 ± 0.12) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>35</sub> ρ<sup>-</sup>μ<sup>+</sup>ν<sub>μ</sub></td><td>(1.35 ± 0.13) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>36</sub> a(980)<sup>-</sup> e<sup>+</sup>ν<sub>e</sub>, a<sup>-</sup> → ηπ<sup>-</sup></td><td>(1.33 ± 0.34) × 10<sup>-4</sup></td></tr><tr><td>Γ<sub>37</sub> b<sub>1</sub>(1235)<sup>-</sup> e<sup>+</sup>ν<sub>e</sub>, b<sub>1</sub><sup>-</sup> → ωπ<sup>-</sup></td><td>&lt; 1.12 × 10<sup>-4</sup></td></tr></tbody></table>

### Hadronic modes with one K

<table><tbody><tr><td>Γ<sub>38</sub> K<sup>-</sup>π<sup>+</sup></td><td>(3.947 ± 0.030) %</td></tr><tr><td>Γ<sub>39</sub> K<sub>S</sub><sup>0</sup>π<sup>0</sup></td><td>(1.240 ± 0.022) %</td></tr><tr><td>Γ<sub>40</sub> K<sub>L</sub><sup>0</sup>π<sup>0</sup></td><td>(9.76 ± 0.32) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>41</sub> K<sub>S</sub><sup>0</sup>η</td><td>(4.34 ± 0.16) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>42</sub> K<sub>S</sub><sup>0</sup>η'</td><td>(8.12 ± 0.35) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>43</sub> K<sub>L</sub><sup>0</sup>ω</td><td>(1.16 ± 0.04) %</td></tr><tr><td>Γ<sub>44</sub> K<sub>S</sub><sup>0</sup>π<sup>+</sup>π<sup>-</sup></td><td>[e] (2.80 ± 0.18) %</td></tr><tr><td>Γ<sub>45</sub> K<sub>S</sub><sup>0</sup>ρ<sup>0</sup></td><td>(6.3 ± 0.6) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>46</sub> K<sub>S</sub><sup>0</sup>ω, ω → π<sup>+</sup>π<sup>-</sup></td><td>(2.0 ± 0.6) × 10<sup>-4</sup></td></tr><tr><td>Γ<sub>47</sub> K<sub>S</sub><sup>0</sup>(π<sup>+</sup>π<sup>-</sup>)<sub>S-wave</sub></td><td>(3.3 ± 0.8) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>48</sub> K<sub>S</sub><sup>0</sup> f<sub>0</sub>(980), f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td><td>(1.20 ± 0.40) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>49</sub> K<sub>S</sub><sup>0</sup> f<sub>0</sub>(1370), f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td><td>(2.8 ± 0.9) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>50</sub> K<sub>S</sub><sup>0</sup> f<sub>2</sub>(1270), f<sub>2</sub> → π<sup>+</sup>π<sup>-</sup></td><td>(9 ± 10) × 10<sup>-5</sup></td></tr><tr><td>Γ<sub>51</sub> K<sup>*</sup>(892)<sup>-</sup> π<sup>+</sup>, K<sup>*</sup> → K<sub>S</sub><sup>0</sup>π<sup>-</sup></td><td>(1.64 ± 0.14) %</td></tr><tr><td>Γ<sub>52</sub> K<sup>0</sup>(1430)<sup>-</sup> π<sup>+</sup>, K<sup>0</sup> → K<sub>S</sub><sup>0</sup>π<sup>-</sup></td><td>(2.67 ± 0.40) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>53</sub> K<sup>2</sup>(1430)<sup>-</sup> π<sup>+</sup>, K<sup>2</sup> → K<sub>S</sub><sup>0</sup>π<sup>-</sup></td><td>(3.4 ± 1.9) × 10<sup>-4</sup></td></tr><tr><td>Γ<sub>54</sub> K<sup>*</sup>(1680)<sup>-</sup> π<sup>+</sup>, K<sup>*</sup> → K<sub>S</sub><sup>0</sup>π<sup>-</sup></td><td>(4.4 ± 3.5) × 10<sup>-4</sup></td></tr><tr><td>Γ<sub>55</sub> K<sup>*</sup>(892)<sup>+</sup> π<sup>-</sup>, K<sup>+</sup> → K<sub>S</sub><sup>0</sup>π<sup>+</sup></td><td>[f] (1.13 ± 0.60) × 10<sup>-4</sup></td></tr><tr><td>Γ<sub>56</sub> K<sup>0</sup>(1430)<sup>+</sup> π<sup>+</sup>, K<sup>0</sup> → K<sub>S</sub><sup>0</sup>π<sup>+</sup></td><td>[f] &lt; 1.4 × 10<sup>-5</sup></td></tr><tr><td>Γ<sub>57</sub> K<sup>2</sup>(1430)<sup>+</sup> π<sup>-</sup>, K<sup>2</sup> → K<sub>S</sub><sup>0</sup>π<sup>+</sup></td><td>[f] &lt; 3.4 × 10<sup>-5</sup></td></tr></tbody></table>
Γ58 K⁰S π⁺π⁻ nonresonant (2.5 ± 6.0 / 1.6 ) × 10⁻⁴

Γ59 K⁻π⁺π⁰ [e] (14.4 ± 0.6 ) % S=2.2

Γ60 K⁻ρ⁺ (11.2 ± 0.7 ) %

Γ61 K⁻ρ(1700)⁺, ρ⁺ → π⁺π⁰ (8.2 ± 1.8 ) × 10⁻³

Γ62 K⁺(892)⁻π⁺, K⁺(892)⁻ → (2.31 ± 0.40 / 0.20 ) %

Γ63 K⁻π⁰ (K⁺(892)⁰π⁰, K⁺(892)⁰ → (1.95 ± 0.25 ) %

Γ64 K⁰(1430)⁻π⁺, K⁰⁻ → (4.8 ± 2.2 ) × 10⁻³

Γ65 K⁰(1430)⁰π⁰, K⁰⁻ → (5.9 ± 5.0 / 1.6 ) × 10⁻³

Γ66 K⁻π⁺ (K⁺(1680)⁻π⁺, K⁺⁻ → (1.9 ± 0.7 ) × 10⁻³

Γ67 K⁻π⁺π⁰ nonresonant (1.15 ± 0.60 / 0.20 ) %

Γ68 K⁰S 2π⁰ (9.1 ± 1.1 ) × 10⁻³ S=2.2

Γ69 K⁰S π⁰π⁰ (1.26 ± 0.06 ) %

Γ70 K⁰S (2π⁰)S-wave (2.6 ± 0.7 ) × 10⁻³

Γ71 K⁺(892)⁰π⁰, K⁺⁰ → K⁰S π⁰ (8.1 ± 0.7 ) × 10⁻³

Γ72 K⁺(1430)⁰π⁰, K⁺⁰ → K⁰S π⁰ (4 ± 23 ) × 10⁻⁵

Γ73 K⁺(1680)⁰π⁰, K⁺⁰ → K⁰S π⁰ (1.0 ± 0.4 ) × 10⁻³

Γ74 K⁰S f₂(1270), f₂ → 2π⁰ (2.3 ± 1.1 ) × 10⁻⁴

Γ75 2K⁰S, one K⁰S → 2π⁰ (3.2 ± 1.1 ) × 10⁻⁴

Γ76 K⁰S 2π⁰ nonresonant (7.6 ± 0.4 ) × 10⁻³

Γ77 K⁻2π⁺π⁻ [e] (8.22 ± 0.14 ) %

Γ78 K⁻π⁺ρ⁰total (6.87 ± 0.31 ) %

Γ79 K⁻π⁺ρ⁰total (6.1 ± 1.6 ) × 10⁻³

Γ80 K⁻π⁺ρ⁰ 3-body (1.01 ± 0.05 ) %

Γ81 K⁺(892)⁰ρ⁰, K⁺⁰ → (1.2 ± 0.4 ) %

Γ82 K⁻π⁺ (K⁺(892)⁰ρ⁰ transverse, K⁺⁰ → K⁻π⁺ (4.32 ± 0.32 ) %

Γ83 K⁻a₁(1260)⁺, a₁⁺ → (3.9 ± 0.4 ) × 10⁻³

Γ84 K₁(1270)⁻π⁺, K₁⁻ → (6.6 ± 2.3 ) × 10⁻⁴

Γ85 K⁻π⁺π⁻ total (K⁺(892)⁰π⁺π⁻ total, K⁺(892)⁰ → K⁻π⁺

Γ86 K⁺(892)⁰π⁺π⁻ 3-body, K⁺⁰ → K⁻π⁺ (1.3 ± 0.6 ) %

Γ87 K₁(1270)⁻π⁺, K₁⁻ → K⁺(892)⁰π⁻, K⁺⁰ → (6.5 ± 3.0 ) × 10⁻³

Γ88 K⁻2π⁺π⁻ nonresonant (1.81 ± 0.07 ) %

Γ89 K⁰S π⁺π⁻π⁰ [g] (5.2 ± 0.6 ) %

Γ90 K⁰S η, η → π⁺π⁻π⁰ (1.17 ± 0.03 ) × 10⁻³

Γ91 K⁰S ω, ω → π⁺π⁻π⁰ (9.9 ± 0.6 ) × 10⁻³

Γ92 K⁻π⁺2π⁰ (8.86 ± 0.23 ) %

Γ93 K⁻π⁺3π⁰ (9.5 ± 0.4 ) × 10⁻³

Γ94 K⁰S π⁺π⁻2π⁰ (1.27 ± 0.06 ) %

Γ95 K⁻2π⁺π⁻π⁰ (4.3 ± 0.4 ) %

Γ96 K⁺(892)⁰π⁺π⁻π⁰, K⁺⁰ → (1.3 ± 0.6 ) %

Γ97 K⁻π⁺ (K⁺(892)⁰ω, K⁺⁰ → K⁻π⁺, ω → π⁺π⁻π⁰ (6.5 ± 3.0 ) × 10⁻³

Γ98 K⁻π⁺ω (3.39 ± 0.10 ) %

Γ99 K⁺(892)⁰ω (1.1 ± 0.5 ) %

Γ100 K⁰S π⁰ω (8.5 ± 0.6 ) × 10⁻³

Γ101 K⁰S ηπ⁰ (1.01 ± 0.05 ) %

Γ102 K⁰S a₀(980), a₀ → ηπ⁰ (1.20 ± 0.28 ) %

Γ103 K⁺(892)⁰η, K⁺⁰ → K⁰S π⁰ (2.9 ± 0.7 ) × 10⁻³

Γ104 K⁻π⁺η (1.88 ± 0.05 ) %

Γ105 K⁺(892)⁰η, K⁺⁰ → K⁻π⁺ (8.9 ± 0.8 / 0.6 ) × 10⁻³

Γ106 a₀(980)⁺K⁻, a₀⁺ → ηπ⁺ (7.4 ± 0.9 / 0.7 ) × 10⁻³

Γ107 K⁺(21980)⁻π⁺, K₂⁻ → (2.2 ± 1.7 / 1.9 ) × 10⁻⁴

Γ108 K⁻π⁺π⁰η (4.49 ± 0.27 ) × 10⁻³

Γ109 K⁰S π⁺π⁻η (2.80 ± 0.21 ) × 10⁻³

Γ110 K⁰S 2π⁰η (1.76 ± 0.26 ) × 10⁻³

Γ111 K⁰S 2π⁺2π⁻ (2.66 ± 0.30 ) × 10⁻³

Γ112 K⁰S ρ⁰π⁺π⁻, no K⁺(892)⁻ (1.1 ± 0.7 ) × 10⁻³

Γ113 K⁺(892)⁻2π⁺π⁻, K⁺(892)⁻ → K⁰S π⁻, no (5 ± 7 ) × 10⁻⁴

Γ114 K⁺(892)⁻ρ⁰π⁺, K⁺(892)⁻ → K⁰S π⁻ (1.6 ± 0.6 ) × 10⁻³

Γ115 K⁰S 2π⁺2π⁻ nonresonant < 1.2 × 10⁻³ CL=90%

Γ116 K⁰S π⁺π⁻2π⁰(π⁰) (2.2 ± 0.6 ) × 10⁻⁴

Γ117 K⁻3π⁺2π⁻ (2.2 ± 0.6 ) × 10⁻⁴

Fractions of some of the following modes with resonances have already appeared above as submodes of particular charged-particle modes. These nine modes below are all corrected for unseen decays of the resonances.

Γ118 K⁰S η (5.09 ± 0.13 ) × 10⁻³

Γ119 K⁰S ω (1.11 ± 0.06 ) %

Γ120 K⁰S η'(958) (9.49 ± 0.32 ) × 10⁻³

Γ121 K⁺(892)⁰π⁺π⁻π⁰ (1.9 ± 0.9 ) %

Γ122 K⁺(892)⁰η (1.41 ± 0.12 ) %

Γ123 K⁻π⁺η'(958) (6.43 ± 0.34 ) × 10⁻³

Γ124 K⁰S η'(958)π⁰ (2.52 ± 0.27 ) × 10⁻³

Γ125 K⁺(892)⁰η'(958) < 1.0 × 10⁻³ CL=90%

Hadronic modes with three K's

Γ126 K⁰S K⁺K⁻ (4.42 ± 0.32 ) × 10⁻³

Γ127 K⁰S a₀(980)⁰, a₀⁺ → K⁺K⁻ (2.9 ± 0.4 ) × 10⁻³

Γ128 K⁻a₀(980)⁺, a₀⁺ → K⁺K⁰S (5.9 ± 1.8 ) × 10⁻³

Γ129 K⁺a₀(980)⁻, a₀⁻ → K⁻K⁰S < 1.1 × 10⁻⁴ CL=95%

Γ130 K⁰S f₀(980), f₀ → K⁺K⁻ < 9 × 10⁻⁵ CL=95%

Γ131 K⁰S φ, φ → K⁺K⁻ (2.03 ± 0.15 ) × 10⁻³

Γ132 K⁰L φ (4.14 ± 0.23 ) × 10⁻³

Γ133 K⁰S f₀(1370), f₀ → K⁺K⁻ (1.7 ± 1.1 ) × 10⁻⁴

Γ134 3K⁰S (7.5 ± 0.7 ) × 10⁻⁴ S=1.4

Γ135 K⁺2K⁻π⁺ (2.25 ± 0.32 ) × 10⁻⁴

Γ136 K⁺K⁻K⁺(892)⁰, K⁺⁰ → K⁻π⁺ (4.5 ± 1.8 ) × 10⁻⁵

Γ137 K⁻π⁺φ, φ → K⁺K⁻ (4.0 ± 1.7 ) × 10⁻⁵

Γ138 φK⁺(892)⁰, φ → K⁺K⁻, K⁺⁰ → K⁻π⁺ (1.08 ± 0.21 ) × 10⁻⁴

Γ139 K⁺2K⁻π⁺ nonresonant (3.4 ± 1.5 ) × 10⁻⁵

Γ140 2K⁰S K⁺π⁻ (5.9 ± 1.3 ) × 10⁻⁴

Pionic modes

Γ141 π⁺π⁻ (1.454 ± 0.024 ) × 10⁻³ S=1.4

Γ142 2π⁰ (8.26 ± 0.25 ) × 10⁻⁴

Γ143 π⁺π⁻π⁰ (1.49 ± 0.07 ) % S=2.3

Γ144 ρ⁺π⁻ (1.01 ± 0.05 ) %

Γ145 ρ⁰π⁰ (3.86 ± 0.24 ) × 10⁻³

Γ146 ρ⁻π⁺ (5.15 ± 0.26 ) × 10⁻³

Γ147 ρ(1450)⁺π⁻, ρ⁺ → π⁺π⁰ (1.6 ± 2.1 ) × 10⁻⁵

Γ148 ρ(1450)⁰π⁰, ρ⁰ → π⁺π⁻ (4.5 ± 2.0 ) × 10⁻⁵

Γ149 ρ(1450)⁻π⁺, ρ⁻ → π⁻π⁰ (2.7 ± 0.4 ) × 10⁻⁴

Γ150 ρ(1700)⁺π⁻, ρ⁺ → π⁺π⁰ (6.1 ± 1.5 ) × 10⁻⁴

Γ151 ρ(1700)⁰π⁰, ρ⁰ → π⁺π⁻ (7.4 ± 1.8 ) × 10⁻⁴

Γ152 ρ(1700)⁻π⁺, ρ⁻ → π⁻π⁰ (4.8 ± 1.1 ) × 10⁻⁴

Γ153 f₀(980)π⁰, f₀ → π⁺π⁻ (3.7 ± 0.9 ) × 10⁻⁵

Γ154 f₀(500)π⁰, f₀ → π⁺π⁻ (1.22 ± 0.22 ) × 10⁻⁴

Γ155 f₀(1370)π⁰, f₀ → π⁺π⁻ (5.5 ± 2.1 ) × 10⁻⁵

Γ156 f₀(1500)π⁰, f₀ → π⁺π⁻ (5.8 ± 1.6 ) × 10⁻⁵

Γ157 f₀(1710)π⁰, f₀ → π⁺π⁻ (4.6 ± 1.6 ) × 10⁻⁵

Γ158 f₂(1270)π⁰, f₂ → π⁺π⁻ (1.97 ± 0.21 ) × 10⁻⁴

Γ159 π⁺π⁻π⁰ nonresonant (1.3 ± 0.4 ) × 10⁻⁴

Γ160 3π⁰ (2.0 ± 0.5 ) × 10⁻⁴

Γ161 2π⁺2π⁻ (7.56 ± 0.20 ) × 10⁻³

Γ162 a₁(1260)⁺π⁻, a₁⁺ → 2π⁺π⁻total (3.13 ± 0.21 ) × 10⁻³

Γ163 a₁(1260)⁺π⁻, a₁⁺ → ρ⁰π⁺S-wave (1.9 ± 0.5 ) × 10⁻⁴

Γ164 a₁(1260)⁺π⁻, a₁⁺ → ρ⁰π⁺D-wave (6.4 ± 0.7 ) × 10⁻⁴

Γ165 a₁(1260)⁺π⁻, a₁⁻ → σπ⁺ (2.3 ± 0.9 ) × 10⁻⁴

Γ166 a₁(1260)⁻π⁺, a₁⁻ → ρ⁰π⁻S-wave (6.0 ± 3.4 ) × 10⁻⁵

Γ167 a₁(1260)⁻π⁺, a₁⁻ → σπ⁻ (6.0 ± 3.4 ) × 10⁻⁵
$$ \Gamma_{272} K^{*}(1410)^{-} K^{+}, K^{*-} \rightarrow (7.0 \pm 1.1) \times 10^{-5} \quad \bar{K}^{*0} \pi^{-} $$

$$ \Gamma_{273} K_{1}(1680)^{+} K^{-}, K_{1}^{+} \rightarrow K^{*0} \pi^{+}, K^{*0} \rightarrow K^{+} \pi^{-} \quad (8.9 \pm 3.2) \times 10^{-5} $$

$$ \Gamma_{274} K^{+} K^{-} \pi^{+} \pi^{-} \text{ non-resonant} \quad (2.7 \pm 0.6) \times 10^{-4} $$

$$ \Gamma_{275} 2K_{S}^{0} \pi^{+} \pi^{-} \quad (5.3 \pm 0.9) \times 10^{-4} $$

$$ \Gamma_{276} K_{S}^{0} K^{-} \pi^{+} \pi^{0} \quad (1.32 \pm 0.16) \times 10^{-3} $$

$$ \Gamma_{277} K_{S}^{0} K^{+} \pi^{-} \pi^{0} \quad (6.5 \pm 0.7) \times 10^{-4} $$

$$ \Gamma_{278} K_{S}^{0} K^{-} 2\pi^{+} \pi^{-} \quad < 1.4 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{279} K^{+} K^{-} \pi^{+} \pi^{-} \pi^{0} \quad (3.1 \pm 2.0) \times 10^{-3} $$

Other $K\bar{K}X$ modes. They include all decay modes of the $\phi$, $\eta$, and $\omega$.

$$ \Gamma_{280} \phi \pi^{0} \quad (1.17 \pm 0.04) \times 10^{-3} $$

$$ \Gamma_{281} \phi \eta \quad (1.8 \pm 0.5) \times 10^{-4} $$

$$ \Gamma_{282} \phi \omega \quad (6.5 \pm 1.0) \times 10^{-4} $$

### Radiative modes

$$ \Gamma_{283} \rho^{0} \gamma \quad (1.82 \pm 0.32) \times 10^{-5} $$

$$ \Gamma_{284} \omega \gamma \quad < 2.4 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{285} \phi \gamma \quad (2.81 \pm 0.19) \times 10^{-5} $$

$$ \Gamma_{286} K^{*}(892)^{0} \gamma \quad (4.1 \pm 0.7) \times 10^{-4} $$

### Doubly Cabibbo suppressed (DC) modes or $\Delta C = 2$ forbidden via mixing (C2M) modes

$$ \Gamma_{287} K^{+} \ell^{-} \bar{\nu}_{\ell} \text{via } \bar{D}^{0} \quad [\ell] < 2.2 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{288} K^{+} \text{ or } K^{*}(892)^{+} e^{-} \bar{\nu}_{e} \text{ via } \bar{D}^{0} \quad < 6 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{289} K^{+} \pi^{-} \quad \text{DC} \quad (1.50 \pm 0.07) \times 10^{-4} \quad \text{S=3.0} $$

$$ \Gamma_{290} K^{+} \pi^{-} \text{ via DCS} \quad (1.363 \pm 0.025) \times 10^{-4} $$

$$ \Gamma_{291} K^{+} \pi^{-} \text{ via } \bar{D}^{0} \quad < 1.6 \times 10^{-5} \quad \text{CL=95\%} $$

$$ \Gamma_{292} K_{S}^{0} \pi^{+} \pi^{-} \text{ in } D^{0} \rightarrow \bar{D}^{0} \quad < 1.8 \times 10^{-4} \quad \text{CL=95\%} $$

$$ \Gamma_{293} K^{*}(892)^{+} \pi^{-}, K^{*+} \rightarrow K_{S}^{0} \pi^{+} \quad \text{DC} \quad (1.13 \pm 0.60 \quad \bar{D}^{0} \times 10^{-4} $$

$$ \Gamma_{294} K_{S}^{0}(1430)^{+} \pi^{-}, K_{S}^{*+} \rightarrow K_{S}^{0} \pi^{+} \quad \text{DC} \quad < 1.4 \times 10^{-5} $$

$$ \Gamma_{295} K_{S}^{*2}(1430)^{+} \pi^{-}, K_{S}^{*+} \rightarrow K_{S}^{0} \pi^{+} \quad \text{DC} \quad < 3.4 \times 10^{-5} $$

$$ \Gamma_{296} K^{+} \pi^{-} \pi^{0} \quad \text{DC} \quad (3.06 \pm 0.16) \times 10^{-4} \quad \text{S=1.4} $$

$$ \Gamma_{297} K^{+} \pi^{-} \pi^{0} \text{ via } \bar{D}^{0} \quad (7.6 \pm 0.5 \quad \bar{D}^{0} \times 10^{-4} $$

$$ \Gamma_{298} K^{+} \pi^{-} 2\pi^{0} \quad < 3.6 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{299} K^{+} \pi^{-} 2\pi^{-} \text{ via DCS} \quad (2.49 \pm 0.07) \times 10^{-4} $$

$$ \Gamma_{300} K^{+} \pi^{-} 2\pi^{-} \quad \text{DC} \quad (2.65 \pm 0.06) \times 10^{-4} $$

$$ \Gamma_{301} K^{+} \pi^{-} 2\pi^{-} \text{ via } \bar{D}^{0} \quad (7.9 \pm 3.0) \times 10^{-6} $$

$$ \Gamma_{302} K^{+} \pi^{-} \text{ or } K^{+} \pi^{+} 2\pi^{-} \text{ via } \bar{D}^{0} \quad < 4 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{303} \mu^{-} \text{ anything via } \bar{D}^{0} \quad < 4 \times 10^{-4} \quad \text{CL=90\%} $$

### $\Delta C = 1$ weak neutral current (C1) modes, Lepton Family number (LF) violating modes, Lepton (L) or Baryon (B) number violating modes

$$ \Gamma_{304} \gamma \gamma \quad C_{1} \quad < 8.5 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{305} e^{+} e^{-} \quad C_{1} \quad < 7.9 \times 10^{-8} \quad \text{CL=90\%} $$

$$ \Gamma_{306} \mu^{+} \mu^{-} \quad C_{1} \quad < 3.1 \times 10^{-9} \quad \text{CL=90\%} $$

$$ \Gamma_{307} \pi^{0} e^{+} e^{-} \quad C_{1} \quad < 4 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{308} \pi^{0} \mu^{+} \mu^{-} \quad C_{1} \quad < 1.8 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{309} \pi^{0} \nu \bar{\nu} \quad < 2.1 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{310} \eta e^{+} e^{-} \quad C_{1} \quad < 3 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{311} \eta \mu^{+} \mu^{-} \quad C_{1} \quad < 5.3 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{312} \pi^{+} \pi^{-} e^{+} e^{-} \quad C_{1} \quad < 7 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{313} \rho^{0} e^{+} e^{-} \quad C_{1} \quad < 1.0 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{314} \pi^{+} \pi^{-} \mu^{+} \mu^{-} \quad C_{1} \quad (9.6 \pm 1.2) \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{315} \pi^{+} \pi^{-} \mu^{+} \mu^{-} \text{ (non-res)} \quad C_{1} \quad < 5.5 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{316} \rho^{0} \mu^{+} \mu^{-} \quad C_{1} \quad < 2.2 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{317} \omega e^{+} e^{-} \quad C_{1} \quad < 6 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{318} \omega \mu^{+} \mu^{-} \quad C_{1} \quad < 8.3 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{319} K^{-} K^{+} e^{+} e^{-} \quad C_{1} \quad < 1.1 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{320} \phi e^{+} e^{-} \quad C_{1} \quad < 5.2 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{321} K^{-} K^{+} \mu^{+} \mu^{-} \text{ (non-res)} \quad C_{1} \quad (1.54 \pm 0.32) \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{322} K^{-} K^{+} \mu^{+} \mu^{-} \text{ (non-res)} \quad C_{1} \quad < 3.3 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{323} \phi \mu^{+} \mu^{-} \quad C_{1} \quad < 3.1 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{324} K^{0} e^{+} e^{-} \quad [\ell] < 2.4 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{325} K^{0} \mu^{+} \mu^{-} \quad [\ell] < 2.6 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{327} K^{-} \pi^{+} e^{+} e^{-}, 675 < m_{ee} < 875 \text{ MeV} \quad (4.0 \pm 0.5) \times 10^{-6} $$

$$ \Gamma_{328} K^{-} \pi^{+} e^{+} e^{-}, 1.005 < m_{ee} < 1.035 \text{ GeV} \quad < 5 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{329} K^{*}(892)^{0} e^{+} e^{-} \quad [\ell] < 4.7 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{330} K^{-} \pi^{+} \mu^{+} \mu^{-} \quad C_{1} \quad < 3.59 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{331} K^{-} \pi^{+} \mu^{+} \mu^{-}, 675 < m_{\mu\mu} < 875 \text{ MeV} \quad (4.2 \pm 0.4) \times 10^{-6} $$

$$ \Gamma_{332} K^{*}(892)^{0} \mu^{+} \mu^{-} \quad [\ell] < 2.4 \times 10^{-5} \quad \text{CL=90\%} $$

$$ \Gamma_{333} \pi^{+} \pi^{-} \pi^{0} \mu^{+} \mu^{-} \quad C_{1} \quad < 8.1 \times 10^{-4} \quad \text{CL=90\%} $$

$$ \Gamma_{334} \mu^{\pm} e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 1.3 \times 10^{-8} \quad \text{CL=90\%} $$

$$ \Gamma_{335} \pi^{0} e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 8.0 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{336} \eta e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 2.25 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{337} \pi^{+} \pi^{-} e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 1.71 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{338} \rho^{0} e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 5.0 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{339} \omega e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 1.71 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{340} K^{-} K^{+} e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 1.00 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{341} \phi e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 5.1 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{342} K^{0} e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 1.74 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{343} K^{-} \pi^{+} e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 1.90 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{344} K^{*}(892)^{0} e^{\pm} \mu^{\mp} \quad \text{LF} \quad [\ell] < 1.25 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{345} 2\pi^{-} 2e^{+} \quad \text{L} \quad < 9.1 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{346} 2\pi^{-} 2\mu^{+} \quad \text{L} \quad < 1.52 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{347} K^{-} \pi^{-} 2e^{+} \quad \text{L} \quad < 5.0 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{348} K^{-} \pi^{-} 2\mu^{+} \quad \text{L} \quad < 5.3 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{349} 2K^{-} 2e^{+} \quad \text{L} \quad < 3.4 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{350} 2K^{-} 2\mu^{+} \quad \text{L} \quad < 1.0 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{351} \pi^{-} \pi^{+} e^{+} \mu^{+} \quad \text{L} \quad < 3.06 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{352} K^{-} \pi^{-} e^{+} \mu^{+} \quad \text{L} \quad < 2.10 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{353} 2K^{-} e^{+} \mu^{+} \quad \text{L} \quad < 5.8 \times 10^{-7} \quad \text{CL=90\%} $$

$$ \Gamma_{354} p e^{-} \quad \text{L,B} \quad < 2.2 \times 10^{-6} \quad \text{CL=90\%} $$

$$ \Gamma_{355} \bar{p} e^{+} \quad \text{L,B} \quad < 1.2 \times 10^{-6} \quad \text{CL=90\%} $$

### $\Gamma_{356}$ Unaccounted decay modes

[a] This value is obtained by subtracting the branching fractions for 2-, 4- and 6-prongs from unity.

[b] This is the sum of our $K^{-} 2\pi^{+} \pi^{-}$, $K^{-} 2\pi^{+} \pi^{-} \pi^{0}$, $K^{0} 2\pi^{+} 2\pi^{-}$, $K^{+} 2K^{-} \pi^{+}$, $2\pi^{+} 2\pi^{-}$, $2\pi^{+} 2\pi^{-} \pi^{0}$, $K^{+} K^{-} \pi^{+} \pi^{-}$, and $K^{+} K^{-} \pi^{+} \pi^{-} \pi^{0}$, branching fractions.

[c] This is the sum of our $K^{-} 3\pi^{+} 2\pi^{-}$ and $3\pi^{+} 3\pi^{-}$ branching fractions.

[d] The branching fractions for the $K^{-} e^{+} \nu_{e}$, $K^{*}(892)^{-} e^{+} \nu_{e}$, $\pi^{-} e^{+} \nu_{e}$, and $\rho^{-} e^{+} \nu_{e}$ modes add up to 6.17 ± 0.17%.

[e] The branching fraction for this mode may differ from the sum of the submodes that contribute to it, due to interference effects. See the relevant papers.

[f] This is a doubly Cabibbo-suppressed mode.

[g] Submodes of the $D^{0} \rightarrow K_{S}^{0} \pi^{+} \pi^{-} \pi^{0}$ mode with a $K^{*}$ and/or $\rho$ were studied by COFFMAN 92B, but with only 140 events. With nothing new for 18 years, we refer to our 2008 edition, Physics Letters **B667** 1 (2008), for those results.

[h] This branching fraction includes all the decay modes of the resonance in the final state.

[i] This limit assumes the average of $B(D^{0} \rightarrow K^{-} e^{+} \nu_{e})$ and $B(D^{0} \rightarrow K^{-} \mu^{+} \nu_{\mu})$ for the $B(D^{0} \rightarrow K^{-} \ell^{+} \nu_{\ell})$ value.

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

[k] The value is for the sum of the charge states or particle/antiparticle states indicated.

### FIT INFORMATION

An overall fit to 68 branching ratios uses 134 measurements to determine 33 parameters. The overall fit has a $\chi^{2} = 149.3$ for 101 degrees of freedom.

The following off-diagonal array elements are the correlation coefficients $\langle \delta_{\chi_{i} \delta_{x_{j}}} \rangle / (\delta_{\chi_{i}} \delta_{x_{j}})$, in percent, from the fit to the branching fractions, $\chi_{i} \equiv \Gamma_{i} / \Gamma_{\text{total}}$.
<table><tbody><tr><td>x<sub>20</sub></td><td>0</td></tr><tr><td>x<sub>21</sub></td><td>6</td></tr><tr><td>x<sub>22</sub></td><td>0</td></tr><tr><td>x<sub>31</sub></td><td>0</td></tr><tr><td>x<sub>32</sub></td><td>0</td></tr><tr><td>x<sub>38</sub></td><td>0</td></tr><tr><td>x<sub>39</sub></td><td>0</td></tr><tr><td>x<sub>44</sub></td><td>0</td></tr><tr><td>x<sub>59</sub></td><td>0</td></tr><tr><td>x<sub>78</sub></td><td>0</td></tr><tr><td>x<sub>89</sub></td><td>0</td></tr><tr><td>x<sub>95</sub></td><td>0</td></tr><tr><td>x<sub>104</sub></td><td>0</td></tr><tr><td>x<sub>118</sub></td><td>0</td></tr><tr><td>x<sub>119</sub></td><td>0</td></tr><tr><td>x<sub>120</sub></td><td>0</td></tr><tr><td>x<sub>134</sub></td><td>0</td></tr><tr><td>x<sub>141</sub></td><td>0</td></tr><tr><td>x<sub>142</sub></td><td>0</td></tr><tr><td>x<sub>143</sub></td><td>0</td></tr><tr><td>x<sub>161</sub></td><td>0</td></tr><tr><td>x<sub>190</sub></td><td>0</td></tr><tr><td>x<sub>204</sub></td><td>0</td></tr><tr><td>x<sub>206</sub></td><td>0</td></tr><tr><td>x<sub>210</sub></td><td>0</td></tr><tr><td>x<sub>211</sub></td><td>0</td></tr><tr><td>x<sub>212</sub></td><td>0</td></tr><tr><td>x<sub>213</sub></td><td>0</td></tr><tr><td>x<sub>224</sub></td><td>0</td></tr><tr><td>x<sub>285</sub></td><td>0</td></tr><tr><td>x<sub>289</sub></td><td>0</td></tr><tr><td>x<sub>296</sub></td><td>x<sub>6</sub></td></tr></tbody></table><table><tbody><tr><td>x<sub>20</sub></td><td>x<sub>20</sub></td></tr><tr><td>x<sub>21</sub></td><td>x<sub>21</sub></td></tr><tr><td>x<sub>22</sub></td><td>x<sub>22</sub></td></tr><tr><td>x<sub>31</sub></td><td>x<sub>31</sub></td></tr><tr><td>x<sub>32</sub></td><td>x<sub>32</sub></td></tr><tr><td>x<sub>38</sub></td><td>x<sub>38</sub></td></tr><tr><td>x<sub>39</sub></td><td>x<sub>39</sub></td></tr><tr><td>x<sub>44</sub></td><td>x<sub>44</sub></td></tr><tr><td>x<sub>59</sub></td><td>x<sub>59</sub></td></tr></tbody></table>

<table><tbody><tr><td>x<sub>89</sub></td><td>1</td></tr><tr><td>x<sub>95</sub></td><td>11</td></tr><tr><td>x<sub>104</sub></td><td>3</td></tr><tr><td>x<sub>118</sub></td><td>2</td></tr><tr><td>x<sub>119</sub></td><td>0</td></tr><tr><td>x<sub>120</sub></td><td>4</td></tr><tr><td>x<sub>134</sub></td><td>0</td></tr><tr><td>x<sub>141</sub></td><td>19</td></tr><tr><td>x<sub>142</sub></td><td>3</td></tr><tr><td>x<sub>143</sub></td><td>8</td></tr><tr><td>x<sub>161</sub></td><td>45</td></tr><tr><td>x<sub>190</sub></td><td>2</td></tr><tr><td>x<sub>204</sub></td><td>2</td></tr><tr><td>x<sub>206</sub></td><td>1</td></tr><tr><td>x<sub>210</sub></td><td>1</td></tr><tr><td>x<sub>211</sub></td><td>22</td></tr><tr><td>x<sub>212</sub></td><td>3</td></tr><tr><td>x<sub>213</sub></td><td>1</td></tr><tr><td>x<sub>224</sub></td><td>1</td></tr><tr><td>x<sub>285</sub></td><td>5</td></tr><tr><td>x<sub>289</sub></td><td>7</td></tr><tr><td>x<sub>296</sub></td><td>x<sub>78</sub></td></tr></tbody></table>

<table><tbody><tr><td>x<sub>161</sub></td><td>5</td></tr><tr><td>x<sub>190</sub></td><td>1</td></tr><tr><td>x<sub>204</sub></td><td>1</td></tr><tr><td>x<sub>206</sub></td><td>0</td></tr><tr><td>x<sub>210</sub></td><td>0</td></tr><tr><td>x<sub>211</sub></td><td>8</td></tr><tr><td>x<sub>212</sub></td><td>1</td></tr><tr><td>x<sub>213</sub></td><td>0</td></tr><tr><td>x<sub>224</sub></td><td>0</td></tr><tr><td>x<sub>285</sub></td><td>2</td></tr><tr><td>x<sub>289</sub></td><td>3</td></tr><tr><td>x<sub>296</sub></td><td>x<sub>143</sub></td></tr></tbody></table><table><tbody><tr><td>x<sub>161</sub></td><td>x<sub>161</sub></td></tr><tr><td>x<sub>190</sub></td><td>x<sub>190</sub></td></tr><tr><td>x<sub>204</sub></td><td>x<sub>204</sub></td></tr><tr><td>x<sub>206</sub></td><td>x<sub>206</sub></td></tr><tr><td>x<sub>210</sub></td><td>x<sub>210</sub></td></tr><tr><td>x<sub>211</sub></td><td>x<sub>211</sub></td></tr><tr><td>x<sub>212</sub></td><td>x<sub>212</sub></td></tr><tr><td>x<sub>213</sub></td><td>x<sub>213</sub></td></tr><tr><td>x<sub>224</sub></td><td>x<sub>224</sub></td></tr><tr><td>x<sub>285</sub></td><td>x<sub>285</sub></td></tr><tr><td>x<sub>289</sub></td><td>x<sub>289</sub></td></tr></tbody></table>

<table><tbody><tr><td>x<sub>289</sub></td><td>2</td></tr><tr><td>x<sub>296</sub></td><td>2</td></tr><tr><td>x<sub>285</sub></td><td>x<sub>285</sub></td></tr></tbody></table>

CONSTRAINED FIT INFORMATION

An overall fit to 3 branching ratios uses 3 measurements and one constraint to determine 4 parameters. The overall fit has a $\chi^2 = 0.0$ for 0 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.

<table><tbody><tr><td>x<sub>2</sub></td><td>-100</td></tr><tr><td>x<sub>3</sub></td><td>-46</td></tr><tr><td>x<sub>4</sub></td><td>0</td></tr><tr><td>x<sub>1</sub></td><td>x<sub>2</sub></td></tr><tr><td>x<sub>3</sub></td><td>0</td></tr></tbody></table>

D⁰ BRANCHING RATIOS

Some older now obsolete results have been omitted from these Listings.

Topological modes

$$ \Gamma(0\text{-prongs})/\Gamma_{\text{total}} \qquad \Gamma_1/\Gamma $$

This value is obtained by subtracting the branching fractions for 2-, 4-, and 6-prongs from unity.

$$ \begin{array}{c} \text{VALUE} \\ 0.15 \pm 0.06 \end{array} $$

$$ \text{DOCUMENT ID} $$

$$ \Gamma(4\text{-prongs})/\Gamma(2\text{-prongs}) \qquad \Gamma_3/\Gamma_2 $$

$$ \begin{array}{c} \text{VALUE} \\ 0.207 \pm 0.016 \end{array} $$

$$ \text{DOCUMENT ID} $$

$$ \text{TECN} $$

$$ \begin{array}{c} \text{COMMENT} \\ \nu_{\mu} \text{ emulsion, } \bar{\epsilon}_{\nu} \approx 27 \text{ GeV} \end{array} $$

$$ \Gamma(4\text{-prongs})/\Gamma_{\text{total}} \qquad \Gamma_3/\Gamma $$

This is the sum of our $K^- 2\pi^+\pi^-$, $K^- 2\pi^+\pi^-\pi^0$, $\bar{K}^0 2\pi^+ 2\pi^-$, $K^+ 2K^-\pi^+$, $2\pi^+ 2\pi^-$, $2\pi^+ 2\pi^-\pi^0$, $K^+ K^-\pi^+\pi^-$, and $K^+ K^-\pi^+\pi^-\pi^0$ branching fractions.

$$ \begin{array}{c} \text{VALUE} \\ 0.146 \pm 0.005 \end{array} $$

$$ \text{DOCUMENT ID} $$

$$ \Gamma(6\text{-prongs})/\Gamma_{\text{total}} \qquad \Gamma_4/\Gamma $$

This is the sum of our $K^- 3\pi^+ 2\pi^-$ and $3\pi^+ 3\pi^-$ branching fractions.

$$ \begin{array}{c} \text{VALUE (units } 10^{-4}) \\ 6.5 \pm 1.3 \end{array} $$

$$ \text{DOCUMENT ID} $$

$$ \text{PDG} \qquad 19 $$

Inclusive modes

$$ \Gamma(e^+ \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_5/\Gamma $$

The branching fractions for the $K^- e^+ \nu_e$, $K^+ (892)^- e^+ \nu_e$, $\pi^- e^+ \nu_e$, and $\rho^- e^+ \nu_e$ modes add up to $6.17 \pm 0.17 \%$.

$$ \begin{array}{c} \text{VALUE (\%)} \\ 6.49 \pm 0.11 \end{array} $$

$$ \text{EVTS} $$

<table><tbody><tr><td>1</td><td>ASNER</td><td>10</td><td>CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 3774 MeV</td></tr><tr><td></td><td>ABLIKIM</td><td>07G</td><td>BES2</td><td>e<sup>+</sup>e<sup>-</sup> ≈ ψ(3770)</td></tr><tr><td></td><td>ADAM</td><td>06A</td><td>CLEO</td><td>See ASNER 10</td></tr><tr><td>6.9</td><td>0.3</td><td>0.5</td><td>1670</td><td>ALBRECHT 96C ARG e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr><tr><td>6.64</td><td>0.18</td><td>0.29</td><td>4609</td><td>KUBOTA 96B CLE2 e<sup>+</sup>e<sup>-</sup> ≈ γ(4S)</td></tr></tbody></table>

$$ \begin{array}{c} 6.46 \pm 0.09 \pm 0.11 \\ 6.3 \pm 0.7 \pm 0.4 \\ 6.46 \pm 0.17 \pm 0.13 \\ 6.9 \pm 0.3 \pm 0.5 \\ 6.64 \pm 0.18 \pm 0.29 \end{array} $$

$$ \begin{array}{c} 6584 \pm 96 \\ 290 \pm 32 \\ 2246 \pm 57 \\ 1670 \\ 4609 \end{array} $$

$$ \begin{array}{c} 07G \text{ BES2} \\ 06A \text{ CLEO} \\ \text{See ASNER 10} \\ \text{ALBRECHT 96C ARG} \\ \text{KUBOTA 96B CLE2} \end{array} $$

$$ \begin{array}{c} 6.46 \pm 0.09 \pm 0.11 \\ 6.3 \pm 0.7 \pm 0.4 \\ 6.46 \pm 0.17 \pm 0.13 \\ 6.9 \pm 0.3 \pm 0.5 \\ 6.64 \pm 0.18 \pm 0.29 \end{array} $$

$$ \begin{array}{c} 6584 \pm 96 \\ 290 \pm 32 \\ 2246 \pm 57 \\ 1670 \\ 4609 \end{array} $$

$$ \begin{array}{c} 6.46 \pm 0.09 \pm 0.11 \\ 6.3 \pm 0.7 \pm 0.4 \\ 6.46 \pm 0.17 \pm 0.13 \\ 6.9 \pm 0.3 \pm 0.5 \\ 6.64 \pm 0.18 \pm 0.29 \end{array} $$

$$ \begin{array}{c} 6584 \pm 96 \\ 290 \pm 32 \\ 2246 \pm 57 \\ 1670 \\ 4609 \end{array} $$

<footnote n="1">¹ Using the $D^+$ and $D^0$ lifetimes, ASNER 10 finds that the ratio of the $D^+$ and $D^0$ semileptonic widths is $0.985 \pm 0.015 \pm 0.024$.</footnote>
Γ(μ⁺ anything)/Γ<sub>total</sub> Γ<sub>6</sub>/Γ

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

6.8±0.6 OUR FIT

6.4±0.8 OUR AVERAGE

<table><tr><td>6.8±1.5±0.8</td><td>79 ± 10</td><td>1 ABLIKIM</td><td>08L BES2</td><td>e<sup>+</sup>e<sup>-</sup> ≈ ψ(3772)</td></tr><tr><td>6.5±1.2±0.3</td><td>36</td><td>KAYIS-TOPAK.05</td><td>CHRS</td><td>ν<sub>μ</sub> emulsion</td></tr><tr><td>6.0±0.7±1.2</td><td>310</td><td>ALBRECHT</td><td>96C ARG</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr></table>

¹ ABLIKIM 08L finds the ratio of D⁺ → μ⁺X and D⁰ → μ⁺X branching fractions to be 2.59 ± 0.70 ± 0.25, in accord with the ratio of D⁺ and D⁰ lifetimes, 2.54 ± 0.02.

Γ(K⁻ anything)/Γ<sub>total</sub> Γ<sub>7</sub>/Γ

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

0.547±0.028 OUR AVERAGE Error Includes scale factor of 1.3. See the ideogram below.

<table><tr><td>0.578±0.016±0.032</td><td>2098 ± 59</td><td>ABLIKIM</td><td>07G BES2</td><td>e<sup>+</sup>e<sup>-</sup> ≈ ψ(3770)</td></tr><tr><td>0.546<sup>+0.039</sup><sub>-0.038</sub></td><td></td><td>1 BARLAG</td><td>92C ACCM</td><td>π<sup>-</sup> Cu 230 GeV</td></tr><tr><td>0.609±0.032±0.052</td><td></td><td>COFFMAN</td><td>91 MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr><tr><td>0.42 ± 0.08</td><td></td><td>AGUILAR-...</td><td>87E HYBR</td><td>πp, pp 360, 400 GeV</td></tr><tr><td>0.55 ± 0.11</td><td>121</td><td>SCHINDLER</td><td>81 MRK2</td><td>e<sup>+</sup>e<sup>-</sup> 3.771 GeV</td></tr><tr><td>0.35 ± 0.10</td><td>19</td><td>VUILLEMIN</td><td>78 LGW</td><td>e<sup>+</sup>e<sup>-</sup> 3.772 GeV</td></tr></table>

¹ BARLAG 92C computes the branching fraction using topological normalization.

WEIGHTED AVERAGE
0.547±0.028 (Error scaled by 1.3)

<figure><img src="image_543.png" /></figure>

(Confidence Level = 0.146)

Γ(κ⁻ anything)/Γ<sub>total</sub>

Γ(κ⁰<sub>S</sub> anything)/Γ<sub>total</sub> Γ<sub>8</sub>/Γ

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

20.75±0.12±0.20 37.8k ABLIKIM 23AO BES3 e⁺e⁻ at 3.773 GeV

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

23.8 ±2.4 ±1.5 250 1 ABLIKIM 06U BES2 e⁺e⁻ at 3773 MeV

22.8 ±2.5 ±1.6 2 COFFMAN 91 MRK3 e⁺e⁻ 3.77 GeV

¹ ABLIKIM 06U reports B(D⁰ → K⁰X or K⁰X) = 0.476 ± 0.048 ± 0.030 which we take as twice the branching fraction for D⁰ → K⁰S X.

² COFFMAN 91 reports B(D⁰ → K⁰X or K⁰X) = 0.455 ± 0.050 ± 0.032 which we take as twice the branching fraction for D⁰ → K⁰S X.

Γ(Κ⁺ anything)/Γ<sub>total</sub> Γ<sub>9</sub>/Γ

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

0.034±0.004 OUR AVERAGE

<table><tr><td>0.035±0.007±0.003</td><td>119 ± 23</td><td>ABLIKIM</td><td>07G BES2</td><td>e<sup>+</sup>e<sup>-</sup> ≈ ψ(3770)</td></tr><tr><td>0.034<sup>+0.007</sup><sub>-0.005</sub></td><td></td><td>1 BARLAG</td><td>92C ACCM</td><td>π<sup>-</sup> Cu 230 GeV</td></tr><tr><td>0.028±0.009±0.004</td><td></td><td>COFFMAN</td><td>91 MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr><tr><td>0.03<sup>+0.05</sup><sub>-0.02</sub></td><td></td><td>AGUILAR-...</td><td>87E HYBR</td><td>πp, pp 360, 400 GeV</td></tr><tr><td>0.08 ± 0.03</td><td>25</td><td>SCHINDLER</td><td>81 MRK2</td><td>e<sup>+</sup>e<sup>-</sup> 3.771 GeV</td></tr></table>

¹ BARLAG 92C computes the branching fraction using topological normalization.

Γ(Κ*(892)⁻ anything)/Γ<sub>total</sub> Γ<sub>10</sub>/Γ

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

0.153±0.083±0.019 28 ± 15 ABLIKIM 06U BES2 e⁺e⁻ at 3773 MeV

Γ(Κ*(892)⁰ anything)/Γ<sub>total</sub> Γ<sub>11</sub>/Γ

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

0.087±0.040±0.012 96 ± 44 ABLIKIM 05P BES e⁺e⁻ 3773 MeV

Γ(Κ*(892)⁺ anything)/Γ<sub>total</sub> Γ<sub>12</sub>/Γ

VALUE (%) CL% DOCUMENT ID TECN COMMENT

<0.036 90 ABLIKIM 06U BES2 e⁺e⁻ at 3773 MeV

Γ(Κ*(892)⁰ anything)/Γ<sub>total</sub> Γ<sub>13</sub>/Γ

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

0.028±0.012±0.004 31 ± 12 ABLIKIM 05P BES e⁺e⁻ 3773 MeV

Γ(η anything)/Γ<sub>total</sub> Γ<sub>14</sub>/Γ

This ratio includes η particles from η' decays.

<table><tr><td>VALUE (%)</td><td>EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>9.5±0.4±0.8</td><td>4463 ± 197</td><td>HUANG</td><td>06B CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></table>

Γ(η' anything)/Γ<sub>total</sub> Γ<sub>15</sub>/Γ

<table><tr><td>VALUE (%)</td><td>EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>2.48±0.17±0.21</td><td>299 ± 21</td><td>HUANG</td><td>06B CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></table>

Γ(φ anything)/Γ<sub>total</sub> Γ<sub>16</sub>/Γ

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

1.08 ±0.04 OUR AVERAGE

1.091±0.027±0.035 4.1k ABLIKIM 19AYBES3 e⁺e⁻ at 3773 MeV

1.05 ±0.08 ±0.07 368 ± 24 HUANG 06B CLEO e⁺e⁻ at ψ(3770)

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

<table><tr><td>1.71<sup>+0.76</sup><sub>-0.71</sub> ±0.17</td><td>9</td><td>BAI</td><td>00C BES</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>-</sup>D<sup>+</sup>, D<sup>-</sup>D<sup>+</sup></td></tr></table>

Γ(π⁺π⁻π⁻ anything)/Γ<sub>total</sub> Γ<sub>17</sub>/Γ

<table><tr><td>VALUE (%)</td><td>EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>17.60±0.11±0.22</td><td>95k</td><td>ABLIKIM</td><td>23AI BES3</td><td>2.93 fb<sup>-1</sup>, e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></table>

Γ(invisibles)/Γ<sub>total</sub> Γ<sub>18</sub>/Γ

<table><tr><td>VALUE</td><td>CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;9.4 x 10<sup>-5</sup></td><td>90</td><td>LAI</td><td>17</td><td>BELL e<sup>+</sup>e<sup>-</sup> at T(nS), n=4,5</td></tr></table>

Semileptonic modes

Γ(Κ⁻ e⁺ν<sub>e</sub>)/Γ<sub>total</sub> Γ<sub>20</sub>/Γ

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

3.549±0.026 OUR FIT Error Includes scale factor of 1.2.

3.525±0.023 OUR AVERAGE

<table><tr><td>3.567±0.031±0.025</td><td>4040</td><td>ABLIKIM</td><td>21BA BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr><tr><td>3.505±0.014±0.033</td><td>71k</td><td>1 ABLIKIM</td><td>15X BES3</td><td>2.92 fb<sup>-1</sup>, 3.773 GeV</td></tr><tr><td>3.50 ± 0.03 ± 0.04</td><td>14.1k</td><td>1 BESSON</td><td>09 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr><tr><td>3.45 ± 0.10 ± 0.19</td><td>1.3k</td><td>2 WIDHALM</td><td>06 BELL</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(45)</td></tr><tr><td>3.82 ± 0.40 ± 0.27</td><td>104</td><td>ABLIKIM</td><td>04C BES</td><td>e<sup>+</sup>e<sup>-</sup>, 3.773 GeV</td></tr><tr><td>3.4 ± 0.5 ± 0.4</td><td>55</td><td>ADLER</td><td>89 MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></table>

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

3.56 ± 0.03 ± 0.09 3 DOBBS 08 CLEO See BESSON 09

3.44 ± 0.10 ± 0.10 1.3k COAN 05 CLEO See DOBBS 08

¹ See the form-factor parameters near the end of this D⁰ Listing.

² The π⁻ e⁺ν<sub>e</sub> and K⁻ e⁺ν<sub>e</sub> results of WIDHALM 06 give |V<sub>cd</sub>/V<sub>cs</sub> f<sup>π</sup><sub>+</sub>(0)/f<sup>π</sup><sub>-</sub>(0)|² = 0.042 ± 0.003 ± 0.003.

³ DOBBS 08 establishes |V<sub>cd</sub>/V<sub>cs</sub> f<sup>π</sup><sub>+</sub>(0)/f<sup>π</sup><sub>-</sub>(0)| = 0.188 ± 0.008 ± 0.002 from the D⁺ and D⁰ decays to K<sup>-</sup>e⁺ν<sub>e</sub> and π<sup>+</sup>e<sup>-</sup>.

Γ(Κ⁻ e⁺ν<sub>e</sub>)/Γ(Κ⁻ μ⁺) Γ<sub>20</sub>/Γ<sub>38</sub>

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

0.899±0.009 OUR FIT Error Includes scale factor of 1.3.

0.930±0.013 OUR AVERAGE

<table><tr><td>0.927±0.007±0.012</td><td>76k ± 323</td><td>1 AUBERT</td><td>07BG BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(45)</td></tr><tr><td>0.978±0.027±0.044</td><td>2510</td><td>2 BEAN</td><td>93C CLE2</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(45)</td></tr><tr><td>0.90 ± 0.06 ± 0.06</td><td>584</td><td>3 CRAWFORD</td><td>91B CLEO</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10.5 GeV</td></tr><tr><td>0.91 ± 0.07 ± 0.11</td><td>250</td><td>4 ANJOS</td><td>89F E691</td><td>Photoproduction</td></tr></table>

¹ The event samples in this AUBERT 07BG result include radiative photons. The D⁰ → K⁻ e⁺ν<sub>e</sub> form factor at q² = 0 is Γ<sub>+</sub>(0) = 0.727 ± 0.007 ± 0.005 ± 0.007.

² BEAN 93c uses K⁻ μ⁺ν<sub>μ</sub> as well as K⁻ e⁺ν<sub>e</sub> events and makes a small phase-space adjustment to the number of the μ⁺ events to use them as e⁺ events. A pole mass of 2.00 ± 0.12 ± 0.18 GeV/c² is obtained from the q² dependence of the decay rate.

³ CRAWFORD 91B uses K⁻ e⁺ν<sub>e</sub> and K⁻ μ⁺ν<sub>μ</sub> candidates to measure a pole mass of 2.1<sup>+0.4</sup><sub>-0.2</sub> GeV/c² from the q² dependence of the decay rate.

⁴ ANJOS 89f measures a pole mass of 2.1<sup>+0.4</sup><sub>-0.2</sub> ± 0.2 GeV/c² from the q² dependence of the decay rate.

Γ(Κ⁻ μ⁺ν<sub>μ</sub>)/Γ<sub>total</sub> Γ<sub>21</sub>/Γ

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

3.41 ±0.04 OUR FIT

3.41 ±0.04 OUR AVERAGE

3.413±0.019±0.035 47k ABLIKIM 19b BES3 e<sup>+</sup>e<sup>-</sup>, 3773 MeV

3.45 ± 0.10 ± 0.21 1249 ± 43 WIDHALM 06 BELL e<sup>+</sup>e<sup>-</sup> ≈ T(45)

Γ(Κ⁻ μ⁺ν<sub>μ</sub>)/Γ(μ⁺ anything) Γ<sub>21</sub>/Γ<sub>6</sub>

VALUE (%) EVTS DOCUMENT ID TECN COMMENT

0.50 ±0.04 OUR FIT

0.472±0.051±0.040 232 KODAMA 94 E653 π⁻ emulsion 600 GeV

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

0.32 ± 0.05 ± 0.05 124 KODAMA 91 EMUL pA 800 GeV
$$\Gamma(\bar{K}^-\mu^+\nu_\mu)/\Gamma(\bar{K}^-\pi^+) \qquad \Gamma_{21}/\Gamma_{38}$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.864±0.012</td><td>OUR FIT</td><td colspan="3">Error includes scale factor of 1.1.</td></tr></tbody></table>

$$\Gamma_{38} \pm 0.04 \text{ OUR AVERAGE}$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.852±0.034±0.028</td><td>1897</td><td>1 FRABETTI</td><td>95G E687</td><td>γBe E<sub>γ</sub> = 220 GeV</td></tr><tr><td>0.82±0.13±0.13</td><td>338</td><td>2 FRABETTI</td><td>93I E687</td><td>γBe E<sub>γ</sub> = 221 GeV</td></tr><tr><td>0.79±0.08±0.09</td><td>231</td><td>3 CRAWFORD</td><td>91B CLEO</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10.5 GeV</td></tr></tbody></table>

¹FRABETTI 95G extracts the ratio of form factors $f_{-}(0)/f_{+}(0) = -1.3^{+3.6}_{-3.4} \pm 0.6$, and measures a pole mass of $1.87^{+0.11}_{-0.08} \pm 0.07$ GeV/c² from the $q^2$ dependence of the decay rate.

²FRABETTI 93I measures a pole mass of $2.1^{+0.7}_{-0.3} \pm 0.7$ GeV/c² from the $q^2$ dependence of the decay rate.

³CRAWFORD 91B measures a pole mass of $2.00 \pm 0.12 \pm 0.18$ GeV/c² from the $q^2$ dependence of the decay rate.

$$\Gamma(K^*(892)^- e^+ \nu_e)/\Gamma_{\text{total}} \qquad \Gamma_{22}/\Gamma$$

Both decay modes of the $K^*(892)^-$ 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>2.15±0.16</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>2.16±0.15±0.08</td><td>219 ± 16</td><td>1 COAN</td><td>05</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

¹COAN 05 uses both $K^-\pi^0$ and $K^0_S\pi^-$ events.

$$\Gamma(K^*(892)^- e^+ \nu_e)/\Gamma(\bar{K}^0 \pi^- e^+ \nu_e) \qquad \Gamma_{22}/\Gamma_{25}$$

<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>94.52±0.97±0.62</td><td>3.1k</td><td>ABLIKIM</td><td>19G BES3</td><td>K<sup>0</sup><sub>S</sub> π<sup>-</sup> e<sup>+</sup> ν<sub>e</sub> events</td></tr></tbody></table>

$$\Gamma(K^*(892)^- e^+ \nu_e)/\Gamma(K^0_S \pi^+ \pi^-) \qquad \Gamma_{22}/\Gamma_{44}$$

Unseen decay modes of the $K^*(892)^-$ 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>0.77±0.07</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>0.76±0.12±0.06</td><td>152</td><td>1 BEAN</td><td>93C CLE2</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

¹BEAN 93C uses $K^-\mu^+\nu_\mu$ as well as $K^*^-e^+\nu_e$ events and makes a small phase-space adjustment to the number of the $\mu^+$ events to use them as $e^+$ events.

$$\Gamma(K^*(892)^- \mu^+ \nu_\mu)/\Gamma(K^0_S \pi^+ \pi^-) \qquad \Gamma_{23}/\Gamma_{44}$$

Unseen decay modes of the $K^*(892)^-$ 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>0.674±0.068±0.026</td><td>175 ± 17</td><td>1 LINK</td><td>05B FOCs</td><td>γA, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

¹LINK 05b finds that in $D^0 \to \bar{K}^0\pi^-\mu^+\nu_\mu$ the $\bar{K}^0\pi^-$ system is 6% in S-wave.

$$\Gamma(K^-\pi^0 e^+ \nu_e)/\Gamma_{\text{total}} \qquad \Gamma_{24}/\Gamma$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.016+0.013-0.005±0.002</td><td>4</td><td>1 BAI</td><td>91</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 3.77 GeV</td></tr></tbody></table>

¹BAI 91 finds that a fraction $0.79^{+0.15}_{-0.17} \pm 0.09$ of combined $D^+$ and $D^0$ decays to $\bar{K}^\pi e^+ \nu_e$ (24 events) are $\bar{K}^*(892) e^+ \nu_e$. BAI 91 uses 56 $K^- e^+ \nu_e$ events to measure a pole mass of $1.8 \pm 0.3 \pm 0.2$ GeV/c² from the $q^2$ dependence of the decay rate.

$$\Gamma(\bar{K}^0\pi^- e^+ \nu_e)/\Gamma_{\text{total}} \qquad \Gamma_{25}/\Gamma$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.44 ± 0.04</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>1.434 ± 0.029 ± 0.032</td><td>3.1k</td><td>ABLIKIM</td><td>19G BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3773 MeV</td></tr><tr><td>2.61 ± 1.04 ± 0.28</td><td>9 ± 3</td><td>ABLIKIM</td><td>060 BES2</td><td>e<sup>+</sup>e<sup>-</sup> at 3773 MeV</td></tr><tr><td>2.8 +1.7-0.8 ± 0.3</td><td>6</td><td>1 BAI</td><td>91 MRK3</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 3.77 GeV</td></tr></tbody></table>

¹BAI 91 finds that a fraction $0.79^{+0.15}_{-0.17} \pm 0.09$ of combined $D^+$ and $D^0$ decays to $\bar{K}^\pi e^+ \nu_e$ (24 events) are $\bar{K}^*(892) e^+ \nu_e$.

$$\Gamma(\bar{K}^0\pi^- S-wave e^+ \nu_e)/\Gamma(\bar{K}^0\pi^- e^+ \nu_e) \qquad \Gamma_{26}/\Gamma_{25}$$

<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>5.51±0.97±0.62</td><td>3.1k</td><td>ABLIKIM</td><td>19G BES3</td><td>K<sup>0</sup><sub>S</sub> π<sup>-</sup> e<sup>+</sup> ν<sub>e</sub> events</td></tr></tbody></table>

$$\Gamma(K^-\pi^+ \pi^- e^+ \nu_e)/\Gamma_{\text{total}} \qquad \Gamma_{27}/\Gamma$$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.8+1.4-1.1±0.3</td><td>8</td><td>ARTUSO</td><td>07A CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at T(3770)</td></tr></tbody></table>

$$\Gamma(K_1(1270)^- e^+ \nu_e)/\Gamma_{\text{total}} \qquad \Gamma_{28}/\Gamma$$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>10.1±1.8</td><td>OUR AVERAGE</td><td></td><td></td><td></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>10.9±1.3+0.9-1.6±1.2</td><td>109</td><td>1 ABLIKIM</td><td>21AY BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr><tr><td>7.6+4.1-3.0±0.9</td><td>8</td><td>2 ARTUSO</td><td>07A CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at T(3770)</td></tr></tbody></table>

¹Uses B(K₁(1270) → $K^-\pi^+\pi^-$) = (32.9 ± 3.6)%, which is the source of the third uncertainty.

²This ARTUSO 07A result is corrected for all decay modes of the $K_1(1270)^-$.

$$\Gamma(K^-\pi^+ \pi^- \mu^+ \nu_\mu)/\Gamma(K^-\mu^+ \mu_\mu) \qquad \Gamma_{29}/\Gamma_{21}$$

<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;0.037</td><td>90</td><td>KODAMA</td><td>93B E653</td><td>π<sup>-</sup> emulsion 600 GeV</td></tr></tbody></table>

$$\Gamma((\bar{K}^*(892)^- \mu^+ \nu_\mu)/\Gamma(K^-\mu^+ \nu_\mu)) \qquad \Gamma_{30}/\Gamma_{21}$$

<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;0.043</td><td>90</td><td>1 KODAMA</td><td>93B E653</td><td>π<sup>-</sup> emulsion 600 GeV</td></tr></tbody></table>

¹KODAMA 93B searched in $K^-\pi^+\pi^-\mu^+\nu_\mu$, but the limit includes other $(\bar{K}^*(892)\pi^-)$-charge states.

$$\Gamma(\pi^- e^+ \nu_e)/\Gamma_{\text{total}} \qquad \Gamma_{31}/\Gamma$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.291±0.004</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>0.293±0.004</td><td>OUR AVERAGE</td><td></td><td></td><td></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>0.295±0.004±0.003</td><td>6.3k</td><td>1 ABLIKIM</td><td>15x BES3</td><td>2.92 fb<sup>-1</sup>, 3.773 GeV</td></tr><tr><td>0.288±0.008±0.003</td><td>1.3k</td><td>1 BESSON</td><td>09 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr><tr><td>0.279±0.027±0.016</td><td>126</td><td>2 WIDHALM</td><td>06 BELL</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>



<table><thead><tr><th>• • •</th><th>We do not use the following data for averages, fits, limits, etc. • • •</th></tr></thead><tbody><tr><td>0.299±0.011±0.009</td><td>3 DOBBS</td><td>08 CLEO</td><td>See BESSON 09</td></tr><tr><td>0.262±0.025±0.008</td><td>117 COAN</td><td>05 CLEO</td><td>See DOBBS 08</td></tr></tbody></table>

¹See the form-factor parameters near the end of this $D^0$ Listing.

²The $π^-e^+\nu_e$ and $K^-e^+\nu_e$ results of WIDHALM 06 give $|V_{cd}/V_{cs} \cdot f_{\pi^0}^+(0)|^2 = 0.042 \pm 0.003 \pm 0.003$.

³DOBBS 08 establishes $|V_{cd}/V_{cs} \cdot f_{\pi^0}^+(0)| = 0.188 \pm 0.008 \pm 0.002$ from the $D^+$ and $D^0$ decays to $\bar{K}^\pi e^+ \nu_e$ and $\pi^+ e^+ \nu_e$.

$$\Gamma(\pi^- e^+ \nu_e)/\Gamma(K^- e^+ \nu_e) \qquad \Gamma_{31}/\Gamma_{20}$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0821±0.0013</td><td>OUR FIT</td><td colspan="3">Error includes scale factor of 1.1.</td></tr><tr><td>0.085 ± 0.007</td><td>OUR AVERAGE</td><td></td><td></td><td></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>0.082 ± 0.006 ± 0.005</td><td>1 HUANG</td><td>05 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td><td></td></tr><tr><td>0.101 ± 0.020 ± 0.003</td><td>91</td><td>2 FRABETTI</td><td>96B E687</td><td>γBe, E<sub>γ</sub> ≈ 200 GeV</td></tr><tr><td>0.103 ± 0.039 ± 0.013</td><td>87</td><td>3 BUTLER</td><td>95 CLE2</td><td>&lt; 0.156 (90% CL)</td></tr></tbody></table>

¹HUANG 05 uses both $e$ and $\mu$ events, and makes a small correction to the $\mu$ events to make them effectively $e$ events. This result gives $|V_{cd}/V_{cs} \cdot f_{\pi^0}^+(0)|^2 = 0.038^{+0.006}_{-0.007} \pm 0.003$.

²FRABETTI 96b uses both $e$ and $\mu$ events, and makes a small correction to the $\mu$ events to make them effectively $e$ events. This result gives $|V_{cd}/V_{cs} \cdot f_{\pi^0}^+(0)|^2 = 0.050 \pm 0.011 \pm 0.002$.

³BUTLER 95 has $87 \pm 33 \pi^- e^+ \nu_e$ events. The result gives $|V_{cd}/V_{cs} \cdot f_{\pi^0}^+(0)|^2 = 0.052 \pm 0.020 \pm 0.007$.

$$\Gamma(\pi^- e^+ \nu_e)/\Gamma(K^- \pi^+) \qquad \Gamma_{31}/\Gamma_{38}$$

<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>7.38±0.12</td><td>OUR FIT</td><td colspan="3">Error includes scale factor of 1.1.</td></tr><tr><td>7.02±0.17±0.23</td><td>375k</td><td>1 LEES</td><td>15F BABR</td><td>347 fb<sup>-1</sup>, 10.58 GeV</td></tr></tbody></table>

¹See the form-factor parameters near the end of the $D^0$ Listing.

$$\Gamma(\pi^- \mu^+ \nu_\mu)/\Gamma_{\text{total}} \qquad \Gamma_{32}/\Gamma$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.267±0.012</td><td>OUR FIT</td><td colspan="3">Error includes scale factor of 1.3.</td></tr><tr><td>0.268±0.012</td><td>OUR AVERAGE</td><td colspan="3">Error includes scale factor of 1.2.</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>0.272±0.008±0.006</td><td>2.3k</td><td>ABLIKIM</td><td>18AEBES3</td><td>e<sup>+</sup>e<sup>-</sup>, 3773 MeV</td></tr><tr><td>0.231±0.026±0.019</td><td>106 ± 13</td><td>WIDHALM</td><td>06 BELL</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr></tbody></table>

$$\Gamma(\pi^- \mu^+ \nu_\mu)/\Gamma(K^- \mu^+ \nu_\mu) \qquad \Gamma_{32}/\Gamma_{21}$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0784±0.0035</td><td>OUR FIT</td><td colspan="3">Error includes scale factor of 1.2.</td></tr><tr><td>0.074 ± 0.008 ± 0.007</td><td>288 ± 29</td><td>1 LINK</td><td>05 FOCS</td><td>γA, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

¹LINK 05 finds the form-factor ratio $|f_0^\pi(0)/f_0^\pi(0)|$ to be $0.85 \pm 0.04 \pm 0.04 \pm 0.01$.

$$\Gamma(\pi^- \pi^0 e^+ \nu_e)/\Gamma_{\text{total}} \qquad \Gamma_{33}/\Gamma$$

<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>1.445±0.058±0.039</td><td>1.1k</td><td>1 ABLIKIM</td><td>19c BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3773 MeV</td></tr></tbody></table>

¹Seen 100% via $D^0 \to \rho(770)^- e^+ \nu_e$, and also reported as the branching fraction for $D^0 \to \rho(770)^- e^+ \nu_e$.

$$\Gamma(\rho^- e^+ \nu_e)/\Gamma_{\text{total}} \qquad \Gamma_{34}/\Gamma$$

<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>1.50 ± 0.12</td><td>OUR AVERAGE</td><td colspan="3">Error includes scale factor of 1.9.</td></tr><tr><td>1.445±0.058±0.039</td><td>1.1k</td><td>1 ABLIKIM</td><td>19c BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3773 MeV</td></tr><tr><td>1.77 ± 0.12 ± 0.10</td><td>305 ± 21</td><td>2,3 DOBBS</td><td>13 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

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

<table><thead><tr><th>1.94 ± 0.39 ± 0.13</th><th>31 ± 6</th><th>COAN</th><th>05 CLEO</th><th>See DOBBS 13</th></tr></thead><tbody></tbody></table>

¹This result is the same as the one reported for $D^0 \to \pi^-\pi^0 e^+ \nu_e$ which ABLIKIM 19c found to proceed 100% via $D^0 \to \rho(770)^- e^+ \nu_e$.

²DOBBS 13 finds $\Gamma(D^0 \to \rho^- e^+ \nu_e) / 2 \Gamma(D^+ \to \rho^0 e^+ \nu_e) = 1.03 \pm 0.09^{+0.08}_{-0.02}$, isospin invariance predicts the ratio is 1.0.

³See the $D^+$ Listings for $D \to \rho e^+ \nu_e$ form factors.
$$ \Gamma(\rho^{-}\mu^{+}\nu_{\mu})/\Gamma_{\text{total}} \qquad \Gamma_{35}/\Gamma $$

<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>1.35 ± 0.09 ± 0.09</td><td>570</td><td>ABLIKIM</td><td>21BC BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

$$ \Gamma(a(980)^{-}e^{+}\nu_{e}, a^{-} \rightarrow \eta\pi^{-})/\Gamma_{\text{total}} \qquad \Gamma_{36}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.33<sup>+0.33</sup><sub>-0.29</sub> ± 0.09</td><td>26</td><td>1 ABLIKIM</td><td>18F BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 MeV</td></tr></tbody></table>

¹Signal observed at 6.4 σ C.L.

$$ \Gamma(b_1(1235)^{-}e^{+}\nu_e, b_1^{-} \rightarrow \omega\pi^{-})/\Gamma_{\text{total}} \qquad \Gamma_{37}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.12 × 10<sup>-4</sup></td><td>90</td><td>ABLIKIM</td><td>20AF BES3</td><td>e<sup>+</sup>e<sup>-</sup>, 3.773 MeV</td></tr></tbody></table>

Hadronic modes with a single $\bar{K}$

$$ \Gamma(K^{-}\pi^{+})/\Gamma_{\text{total}} \qquad \Gamma_{38}/\Gamma $$

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

3.947 ± 0.030 OUR FIT Error includes scale factor of 1.2.

3.909 ± 0.034 OUR AVERAGE

<table><thead><tr><th></th><th></th><th></th><th></th><th></th><th></th></tr></thead><tbody><tr><td>3.883 ± 0.006 ± 0.051</td><td>0.5M</td><td>1 ABLIKIM</td><td>18W BES3</td><td>e<sup>+</sup>e<sup>-</sup>, 3.773 MeV</td></tr><tr><td>3.934 ± 0.021 ± 0.061</td><td></td><td>BONVICINI</td><td>14 CLEO</td><td>All CLEO-c runs</td></tr><tr><td>4.007 ± 0.037 ± 0.072</td><td>33.8k</td><td>AUBERT</td><td>08L BABR</td><td>e<sup>+</sup>e<sup>-</sup> at T(4S)</td></tr><tr><td>3.82 ± 0.07 ± 0.12</td><td></td><td>2 ARTUSO</td><td>98 CLE2</td><td>CLEO average</td></tr><tr><td>3.90 ± 0.09 ± 0.12</td><td>5.4k</td><td>3 BARATE</td><td>97C ALEP</td><td>From Z decays</td></tr><tr><td>3.41 ± 0.12 ± 0.28</td><td>1.2k</td><td>3 ALBRECHT</td><td>94F ARG</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>3.62 ± 0.34 ± 0.44</td><td></td><td>3 DECAMP</td><td>91J ALEP</td><td>From Z decays</td></tr></tbody></table>

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

<table><thead><tr><th></th><th></th><th></th><th></th><th></th><th></th></tr></thead><tbody><tr><td>3.891 ± 0.035 ± 0.069</td><td></td><td>4 DOBBS</td><td>07 CLEO</td><td>See BONVICINI 14</td></tr><tr><td>3.91 ± 0.08 ± 0.09</td><td>10.3k</td><td>4 HE</td><td>05 CLEO</td><td>See DOBBS 07</td></tr><tr><td>3.81 ± 0.15 ± 0.16</td><td>1.2k</td><td>5 ARTUSO</td><td>98 CLE2</td><td>e<sup>+</sup>e<sup>-</sup> at T(4S)</td></tr><tr><td>3.69 ± 0.11 ± 0.16</td><td></td><td>6 COAN</td><td>98 CLE2</td><td>See ARTUSO 98</td></tr><tr><td>4.5 ± 0.6 ± 0.4</td><td></td><td>7 ALBRECHT</td><td>94 ARG</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>3.95 ± 0.08 ± 0.17</td><td>4.2k</td><td>3,8 AKERIB</td><td>93 CLE2</td><td>See ARTUSO 98</td></tr><tr><td>4.5 ± 0.8 ± 0.5</td><td>56</td><td>3 ABACHI</td><td>88 HRS</td><td>e<sup>+</sup>e<sup>-</sup> 29 GeV</td></tr><tr><td>4.2 ± 0.4 ± 0.4</td><td>0.9k</td><td>ADLER</td><td>88C MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr><tr><td>4.1 ± 0.6</td><td>0.3k</td><td>9 SCHINDLER</td><td>81 MRK2</td><td>e<sup>+</sup>e<sup>-</sup> 3.771 GeV</td></tr><tr><td>3.4 ± 1.0</td><td>130</td><td>10 PERUZZI</td><td>77 LGW</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

¹ABLIKIM 18w measured the combined $K^{\pm}\pi^{\pm}$ branching fraction to be 3.898%. We have subtracted off the doubly Cabibbo-suppressed branching fraction $B(D^0 \rightarrow K^{\pm}\pi^0) = (1.50 \pm 0.07) \times 10^{-4}$, even though it is less than one-third of the uncertainty of the combined measurement, in order to treat this as a measurement of $B(D^0 \rightarrow K^{\pm}\pi^0)$.

²This combines the CLEO results of ARTUSO 98, COAN 98, and AKERIB 93.

³ABACHI 88, DECAMP 91J, AKERIB 93, ALBRECHT 94F, and BARATE 97c use $D^{*}(2010)^{+} \rightarrow D^{0}\pi^{+}$ decays. The $\pi^{+}$ is both slow and of low $\rho_{T}$ with respect to the event thrust axis or nearest jet ($\approx D^{+} \pi^{+}$ direction). The excess number of such $\pi^{+}$'s over background gives the number of $D^{*}(2010)^{+} \rightarrow D^{0}\pi^{+}$ events, and the fraction with $D^{0} \rightarrow K^{-}\pi^{+}$ gives the $D^{0} \rightarrow K^{-}\pi^{+}$ branching fraction.

⁴DOBBS 07 and HE 05 use single- and double-tagged events in an overall fit. DOBBS 07 supersedes HE 05.

⁵ARTUSO 98, following ALBRECHT 94, uses $D^0$ mesons from $\bar{B}^0 \rightarrow D^{*}(2010)^{+} X^{+} \bar{\nu}_{\ell} \bar{\nu}_{\ell}$ decays. Our average uses the CLEO average of this value with the values of COAN 98 and AKERIB 93.

⁶COAN 98 assumes that $\Gamma(B \rightarrow D^{+} X^{+} \nu_{\ell})/\Gamma(B \rightarrow X^{+} \nu_{\ell}) = 1.0 - 3 |V_{ub}/V_{cb}|^2 - 0.010 \pm 0.005$, the last term accounting for $\bar{B} \rightarrow D^{+} S K^{+} \ell^{-} \bar{\nu}_{\ell}$. COAN 98 is included in the CLEO average in ARTUSO 98.

⁷ALBRECHT 94 uses $D^0$ mesons from $\bar{B}^0 \rightarrow D^{*+} \ell^{-} \bar{\nu}_{\ell}$ decays. This is a different set of events than used by ALBRECHT 94f.

⁸This AKERIB 93 value includes radiative corrections; without them, the value is 0.0391 ± 0.0008 ± 0.0017. AKERIB 93 is included in the CLEO average in ARTUSO 98.

⁹SCHINDLER 81 (MARK-2) measures $\sigma(e^{+}e^{-} \rightarrow \psi(3770)) \times$ branching fraction to be 0.24 ± 0.02 nb. We use the MARK-3 (ADLER 88C) value of $\sigma = 5.8 \pm 0.5 \pm 0.6$ nb.

¹⁰PERUZZI 77 (MARK-1) measures $\sigma(e^{+}e^{-} \rightarrow \psi(3770)) \times$ branching fraction to be 0.25 ± 0.05 nb. We use the MARK-3 (ADLER 88C) value of $\sigma = 5.8 \pm 0.5 \pm 0.6$ nb.

$$ \Gamma(K_S^0 \pi^0)/\Gamma_{\text{total}} \qquad \Gamma_{39}/\Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.240 ± 0.022 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>1.239 ± 0.006 ± 0.027</td><td>67k</td><td>ABLIKIM</td><td>18W BES3</td><td>e<sup>+</sup>e<sup>-</sup>, 3.773 MeV</td></tr></tbody></table>

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

<table><thead><tr><th></th><th></th><th></th><th></th><th></th><th></th></tr></thead><tbody><tr><td>1.240 ± 0.017 ± 0.056</td><td>614</td><td>HE</td><td>08 CLEO</td><td>See MENDEZ 10</td></tr></tbody></table>

$$ \Gamma(K_S^0 \pi^0)/[\Gamma(K^{-}\pi^{+}) + \Gamma(K^{+}\pi^{-})] \qquad \Gamma_{39}/[\Gamma_{38} + \Gamma_{289}] $$

<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>31.3 ± 0.6 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>30.4 ± 0.3 ± 0.9</td><td>20k</td><td>MENDEZ</td><td>10 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 3774 MeV</td></tr></tbody></table>

$$ \Gamma(K_S^0 \pi^0)/\Gamma(K_S^0 \pi^+ \pi^-) \qquad \Gamma_{39}/\Gamma_{44} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.443 ± 0.026 OUR FIT</td><td></td><td></td><td></td><td></td></tr></tbody></table>

<table><thead><tr><th>0.44 ± 0.02 ± 0.05</th><th>1942 ± 64</th><th>PROCARIO</th><th>93B CLE2</th><th>e<sup>+</sup>e<sup>-</sup> 10.36–10.7 GeV</th></tr></thead><tbody><tr><td>0.34 ± 0.04 ± 0.02</td><td>92</td><td>1 ALBRECHT</td><td>92P ARG</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr><tr><td>0.36 ± 0.04 ± 0.08</td><td>104</td><td>KINOSHITA</td><td>91 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> ~ 10.7 GeV</td></tr></tbody></table>

¹This value is calculated from numbers in Table 1 of ALBRECHT 92p.

$$ \Gamma(K_L^0 \pi^0)/\Gamma_{\text{total}} \qquad \Gamma_{40}/\Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.976 ± 0.032 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.97 ± 0.03 ± 0.02</td><td>2590</td><td>ABLIKIM</td><td>22BM BES3</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr><tr><td>0.998 ± 0.049 ± 0.048</td><td>1116</td><td>1 HE</td><td>08 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

¹The difference of HE 08 $D^0 \rightarrow K_S^0 \pi^0$ and $K_L^0 \pi^0$ branching fractions over the sum is 0.108 ± 0.025 ± 0.024. This is consistent with U-spin symmetry and the Cabibbo angle.

$$ \Gamma(K_L^0 \eta)/\Gamma_{\text{total}} \qquad \Gamma_{41}/\Gamma $$

<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>4.34 ± 0.16 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>4.39 ± 0.24 ± 0.15</td><td>543</td><td>1 ABLIKIM</td><td>22W BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr><tr><td>4.31 ± 0.14 ± 0.13</td><td>2.1k</td><td>2 ABLIKIM</td><td>22W BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

¹Uses $\eta \rightarrow \pi^{+}\pi^{+}\pi^{0}$ with branching fraction (23.02 ± 0.25) × 10<sup>-2</sup>.

²Uses $\eta \rightarrow \gamma\gamma$ with branching fraction (39.36 ± 0.18) × 10<sup>-2</sup>.

$$ \Gamma(K_S^0 \eta')/\Gamma_{\text{total}} \qquad \Gamma_{42}/\Gamma $$

<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>8.12 ± 0.35 OUR AVERAGE</td><td></td><td>Error includes scale factor of 1.3.</td><td></td><td></td></tr><tr><td>8.57 ± 0.37 ± 0.22</td><td>684</td><td>1 ABLIKIM</td><td>22W BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr><tr><td>7.85 ± 0.24 ± 0.23</td><td>2k</td><td>2 ABLIKIM</td><td>22W BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

¹Uses $\eta' \rightarrow \pi^{+}\pi^{+}\eta$ with branching fraction 0.425 ± 0.005.

²Uses $\eta' \rightarrow \rho^0 \gamma$ with branching fraction 0.295 ± 0.004.

$$ \Gamma(K_S^0 \omega)/\Gamma_{\text{total}} \qquad \Gamma_{43}/\Gamma $$

<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>1.164 ± 0.022 ± 0.028</td><td>6.1k</td><td>ABLIKIM</td><td>22W BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

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

<table><thead><tr><th></th><th></th><th></th><th></th><th></th><th></th></tr></thead><tbody><tr><td>1.09 ± 0.06 ± 0.03</td><td>1360</td><td>ABLIKIM</td><td>22BM BES3</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

$$ \Gamma(K_S^0 \pi^{+} \pi^{-})/\Gamma_{\text{total}} \qquad \Gamma_{44}/\Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.52 ± 0.20 ± 0.25</td><td>284 ± 22</td><td>1 ALBRECHT</td><td>94F ARG</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>3.2 ± 0.3 ± 0.5</td><td></td><td>ADLER</td><td>87 MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr><tr><td>2.6 ± 0.8</td><td>32 ± 8</td><td>2 SCHINDLER</td><td>94J E687</td><td>e<sup>+</sup>e<sup>-</sup> 3.771 GeV</td></tr><tr><td>4.0 ± 1.2</td><td>28</td><td>3 PERUZZI</td><td>77 LGW</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

¹See the footnote on the ALBRECHT 94F measurement of $\Gamma(K^{-}\pi^{+})/\Gamma_{\text{total}}$ for the method used.

²SCHINDLER 81 (MARK-2) measures $\sigma(e^{+}e^{-} \rightarrow \psi(3770)) \times$ branching fraction to be 0.30 ± 0.08 nb. We use the MARK-3 (ADLER 88C) value of $\sigma = 5.8 \pm 0.5 \pm 0.6$ nb.

³PERUZZI 77 (MARK-1) measures $\sigma(e^{+}e^{-} \rightarrow \psi(3770)) \times$ branching fraction to be 0.46 ± 0.12 nb. We use the MARK-3 (ADLER 88C) value of $\sigma = 5.8 \pm 0.5 \pm 0.6$ nb.

$$ \Gamma(K_S^0 \pi^{+} \pi^{-})/\Gamma(K_S^0 \pi^{+}) \qquad \Gamma_{44}/\Gamma_{38} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.71 ± 0.05 OUR FIT</td><td></td><td>Error Includes scale factor of 1.1.</td><td></td><td></td></tr><tr><td>0.81 ± 0.05 ± 0.08</td><td>856 ± 35</td><td>FRABETTI</td><td>94J E687</td><td>γBe $\bar{\gamma}$=220 GeV</td></tr></tbody></table>

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

<table><thead><tr><th></th><th></th><th></th><th></th><th></th><th></th></tr></thead><tbody><tr><td>0.85 ± 0.40</td><td>35</td><td>AVERY</td><td>80 SPEC</td><td>γN → D<sup>+</sup></td></tr><tr><td>1.4 ± 0.5</td><td>116</td><td>PICCOLO</td><td>77 MRK1</td><td>e<sup>+</sup>e<sup>-</sup> 4.03, 4.41 GeV</td></tr></tbody></table>

$$ \Gamma(K_S^0 \rho^0)/\Gamma(K_S^0 \pi^{+} \pi^{-}) \qquad \Gamma_{45}/\Gamma_{44} $$

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

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.224 ± 0.017 ± 0.023 OUR AVERAGE</td><td></td><td>Error includes scale factor of 1.7.</td><td></td><td></td></tr><tr><td>0.210 ± 0.016</td><td></td><td>1 AUBERT</td><td>08AL BABR</td><td>Dalitz fit, ≈ 487 k events</td></tr><tr><td>0.264 ± 0.009 ± 0.010</td><td></td><td>MURAMATSU</td><td>02 CLE2</td><td>Dalitz fit, 5299 events</td></tr><tr><td>0.12 ± 0.01 ± 0.07</td><td></td><td>ADLER</td><td>87 MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

<table><thead><tr><th></th><th></th><th></th><th></th><th></th><th></th></tr></thead><tbody><tr><td>0.267 ± 0.011 ± 0.009</td><td></td><td>ASNER</td><td>04A CLEO</td><td>See MURAMATSU 02</td></tr><tr><td>0.350 ± 0.028 ± 0.067</td><td></td><td>FRABETTI</td><td>94G E687</td><td>Dalitz fit, 597 events</td></tr><tr><td>0.227 ± 0.032 ± 0.009</td><td></td><td>ALBRECHT</td><td>93D ARG</td><td>Dalitz fit, 440 events</td></tr><tr><td>0.215 ± 0.051 ± 0.037</td><td></td><td>ANJOS</td><td>93 E691</td><td>γBe 90–260 GeV</td></tr><tr><td>0.20 ± 0.06 ± 0.03</td><td></td><td>FRABETTI</td><td>92B E687</td><td>γBe, $\bar{\gamma}$= 221 GeV</td></tr><tr><td>0.12 ± 0.01 ± 0.07</td><td></td><td>ADLER</td><td>87 MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

¹The error on this AUBERT 08AL value includes both statistical and systematic uncertainties; the latter dominates.

$$ \Gamma(K_S^0 \omega, \omega \rightarrow \pi^{+}\pi^{-})/\Gamma(K_S^0 \pi^{+} \pi^{-}) \qquad \Gamma_{46}/\Gamma_{44} $$

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

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0073 ± 0.0020 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.009 ± 0.010</td><td></td><td>1 AUBERT</td><td>08AL BABR</td><td>Dalitz fit, ≈ 487 k events</td></tr><tr><td>0.0072 ± 0.0018 ± 0.0010</td><td></td><td>MURAMATSU</td><td>02 CLE2</td><td>Dalitz fit, 5299 events</td></tr><tr><td>0.0081 ± 0.0019 ± 0.0018</td><td></td><td>ASNER</td><td>04A CLEO</td><td>See MURAMATSU 02</td></tr></tbody></table>

¹The error on this AUBERT 08AL value includes both statistical and systematic uncertainties; the latter dominates.
$$ \Gamma(K_0^0(\pi^+\pi^-)S-wave)/\Gamma(K_0^0\pi^+\pi^-) \qquad \Gamma_{47}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis. The $(\pi^+\pi^-)_{S-wave}$ includes what in isobar models are the $f_0(980)$ and $f_0(1370)$; see the following two data blocks.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.119±0.026</td><td></td><td>1 AUBERT</td><td>08AL BABR Dalitz fit, ≈ 487 k evt</td></tr></tbody></table>

¹ The error on this AUBERT 08AL value includes both statistical and systematic uncertainties; the latter dominates.

$$ \Gamma(K_0^0 f_0(980), f_0 \to \pi^+\pi^-)/\Gamma(K_0^0 \pi^+\pi^-) \qquad \Gamma_{48}/\Gamma_{44} $$
Fit fraction from the Dalitz plot analyses.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.043±0.005<sup>+0.012</sup><sub>-0.006</sub></td><td></td><td>MURAMATSU 02</td><td>CLE2 Dalitz fit, 5299 evt</td></tr></tbody></table>

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

<table><tbody><tr><td>0.042±0.005<sup>+0.011</sup><sub>-0.005</sub></td><td>ASNER</td><td>04A</td><td>CLEO See MURAMATSU 02</td></tr><tr><td>0.068±0.016±0.018</td><td>FRABETTI</td><td>94G</td><td>E687 Dalitz fit, 597 evt</td></tr><tr><td>0.046±0.018±0.006</td><td>ALBRECHT</td><td>93D</td><td>ARG Dalitz fit, 440 evt</td></tr></tbody></table>

$$ \Gamma(K_0^0 f_0(1370), f_0 \to \pi^+\pi^-)/\Gamma(K_0^0 \pi^+\pi^-) \qquad \Gamma_{49}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.099±0.011<sup>+0.028</sup><sub>-0.044</sub></td><td></td><td>MURAMATSU 02</td><td>CLE2 Dalitz fit, 5299 evt</td></tr></tbody></table>

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

<table><tbody><tr><td>0.098±0.014<sup>+0.026</sup><sub>-0.036</sub></td><td>ASNER</td><td>04A</td><td>CLEO See MURAMATSU 02</td></tr><tr><td>0.077±0.022±0.031</td><td>FRABETTI</td><td>94G</td><td>E687 Dalitz fit, 597 evt</td></tr><tr><td>0.082±0.028±0.013</td><td>ALBRECHT</td><td>93D</td><td>ARG Dalitz fit, 440 evt</td></tr></tbody></table>

$$ \Gamma(K_0^0 f_2(1270), f_2 \to \pi^+\pi^-)/\Gamma(K_0^0 \pi^+\pi^-) \qquad \Gamma_{50}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0032±0.0035<sup>+0.002</sup><sub>-0.002</sub></td><td></td><td>OUR AVERAGE</td><td></td></tr></tbody></table>

<table><tbody><tr><td>0.006 ±0.007</td><td>1 AUBERT</td><td>08AL BABR</td><td>Dalitz fit, ≈ 487 k evt</td></tr><tr><td>0.0027±0.0015<sup>+0.0037</sup><sub>-0.0017</sub></td><td>MURAMATSU 02</td><td>CLE2</td><td>Dalitz fit, 5299 evt</td></tr></tbody></table>

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

<table><tbody><tr><td>0.0036±0.0022<sup>+0.0032</sup><sub>-0.0019</sub></td><td>ASNER</td><td>04A</td><td>CLEO See MURAMATSU 02</td></tr><tr><td>0.037 ±0.014 ±0.017</td><td>FRABETTI</td><td>94G</td><td>E687 Dalitz fit, 597 evt</td></tr><tr><td>0.050 ±0.021 ±0.008</td><td>ALBRECHT</td><td>93D</td><td>ARG Dalitz fit, 440 evt</td></tr></tbody></table>

¹ The error on this AUBERT 08AL value includes both statistical and systematic uncertainties; the latter dominates.

$$ \Gamma(K^*(892)^-\pi^+, K^*\to K_0^0\pi^-)/\Gamma(K_0^0\pi^+\pi^-) \qquad \Gamma_{51}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.588±0.034<sup>+0.030</sup><sub>-0.050</sub></td><td></td><td>OUR AVERAGE</td><td>Error includes scale factor of 2.0.</td></tr></tbody></table>

<table><tbody><tr><td>0.557±0.028</td><td>1 AUBERT</td><td>08AL BABR</td><td>Dalitz fit, ≈ 487 k evt</td></tr><tr><td>0.657±0.013<sup>+0.018</sup><sub>-0.040</sub></td><td>MURAMATSU 02</td><td>CLE2</td><td>Dalitz fit, 5299 evt</td></tr></tbody></table>

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

<table><tbody><tr><td>0.663±0.013<sup>+0.024</sup><sub>-0.043</sub></td><td>ASNER</td><td>04A</td><td>CLEO See MURAMATSU 02</td></tr><tr><td>0.625±0.036±0.026</td><td>FRABETTI</td><td>94G</td><td>E687 Dalitz fit, 597 evt</td></tr><tr><td>0.718±0.042±0.030</td><td>ALBRECHT</td><td>93D</td><td>ARG Dalitz fit, 440 evt</td></tr><tr><td>0.480±0.097</td><td>ANJOS</td><td>93</td><td>E691 γBe 90-260 GeV</td></tr><tr><td>0.56 ±0.04 ±0.05</td><td>ADLER</td><td>87</td><td>MRK3 e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

¹ The error on this AUBERT 08AL value includes both statistical and systematic uncertainties; the latter dominates.

$$ \Gamma(K_0^*(1430)^-\pi^+, K_0^*\to K_0^0\pi^-)/\Gamma(K_0^0\pi^+\pi^-) \qquad \Gamma_{52}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.095±0.014<sup>+0.014</sup><sub>-0.010</sub></td><td></td><td>OUR AVERAGE</td><td></td></tr></tbody></table>

<table><tbody><tr><td>0.102±0.015</td><td>1 AUBERT</td><td>08AL BABR</td><td>Dalitz fit, ≈ 487 k evt</td></tr><tr><td>0.073±0.007<sup>+0.031</sup><sub>-0.011</sub></td><td>MURAMATSU 02</td><td>CLE2</td><td>Dalitz fit, 5299 evt</td></tr></tbody></table>

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

<table><tbody><tr><td>0.072±0.007<sup>+0.014</sup><sub>-0.013</sub></td><td>ASNER</td><td>04A</td><td>CLEO See MURAMATSU 02</td></tr><tr><td>0.109±0.027±0.029</td><td>FRABETTI</td><td>94G</td><td>E687 Dalitz fit, 597 evt</td></tr><tr><td>0.129±0.034±0.021</td><td>ALBRECHT</td><td>93D</td><td>ARG Dalitz fit, 440 evt</td></tr></tbody></table>

¹ The error on this AUBERT 08AL value includes both statistical and systematic uncertainties; the latter dominates.

$$ \Gamma(K_2^*(1430)^-\pi^+, K_2^*\to K_0^0\pi^-)/\Gamma(K_0^0\pi^+\pi^-) \qquad \Gamma_{53}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0120±0.0070<sup>+0.0035</sup><sub>-0.0035</sub></td><td></td><td>OUR AVERAGE</td><td></td></tr></tbody></table>

<table><tbody><tr><td>0.022 ±0.016</td><td>1 AUBERT</td><td>08AL BABR</td><td>Dalitz fit, ≈ 487 k evt</td></tr><tr><td>0.011 ±0.002<sup>+0.007</sup><sub>-0.003</sub></td><td>MURAMATSU 02</td><td>CLE2</td><td>Dalitz fit, 5299 evt</td></tr></tbody></table>

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

<table><tbody><tr><td>0.011 ±0.002<sup>+0.005</sup><sub>-0.003</sub></td><td>ASNER</td><td>04A</td><td>CLEO See MURAMATSU 02</td></tr></tbody></table>

¹ The error on this AUBERT 08AL value includes both statistical and systematic uncertainties; the latter dominates.

$$ \Gamma(K^*(1680)^-\pi^+, K^*\to K_0^0\pi^-)/\Gamma(K_0^0\pi^+\pi^-) \qquad \Gamma_{54}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.016±0.013 OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>0.007±0.019</td><td>1 AUBERT</td><td>08AL BABR</td><td>Dalitz fit, ≈ 487 k evt</td></tr></tbody></table>

<table><tbody><tr><td>0.022±0.004<sup>+0.018</sup><sub>-0.015</sub></td><td>MURAMATSU 02</td><td>CLE2</td><td>Dalitz fit, 5299 evt</td></tr></tbody></table>

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

<table><tbody><tr><td>0.023±0.005<sup>+0.007</sup><sub>-0.014</sub></td><td>ASNER</td><td>04A</td><td>CLEO See MURAMATSU 02</td></tr></tbody></table>

¹ The error on this AUBERT 08AL value includes both statistical and systematic uncertainties; the latter dominates.

$$ \Gamma(K^*(892)^+\pi^-, K^*\to K_0^0\pi^+)/\Gamma(K_0^0\pi^+\pi^-) \qquad \Gamma_{55}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis. This is a doubly Cabibbo-suppressed mode.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>(units 10<sup>-3</sup>)</td><td></td><td></td><td></td></tr></tbody></table>

$$ 4.0±2.0 \qquad \text{OUR AVERAGE} $$

<table><tbody><tr><td>4.6±2.3</td><td>1 AUBERT</td><td>08AL BABR</td><td>Dalitz fit, ≈ 487 k evt</td></tr><tr><td>3.4±1.3<sup>+4.1</sup><sub>-0.4</sub></td><td>MURAMATSU 02</td><td>CLE2</td><td>Dalitz fit, 5299 evt</td></tr></tbody></table>

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

<table><tbody><tr><td>3.4±1.3<sup>+3.6</sup><sub>-0.5</sub></td><td>ASNER</td><td>04A</td><td>CLEO See MURAMATSU 02</td></tr></tbody></table>

¹ The error on this AUBERT 08AL value includes both statistical and systematic uncertainties; the latter dominates.

$$ \Gamma(K_0^*(1430)^+\pi^-, K_0^*\to K_0^0\pi^+)/\Gamma(K_0^0\pi^+\pi^-) \qquad \Gamma_{56}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis. This is a doubly Cabibbo-suppressed mode.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;5 × 10<sup>-4</sup></td><td>95</td><td>AUBERT</td><td>08AL BABR Dalitz fit, ≈ 487 k evt</td></tr></tbody></table>

$$ \Gamma(K_2^*(1430)^+\pi^-, K_2^*\to K_0^0\pi^+)/\Gamma(K_0^0\pi^+\pi^-) \qquad \Gamma_{57}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis. This is a doubly Cabibbo-suppressed mode.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.2 × 10<sup>-3</sup></td><td>95</td><td>AUBERT</td><td>08AL BABR Dalitz fit, ≈ 487 k evt</td></tr></tbody></table>

$$ \Gamma(K_0^0\pi^+\pi^- \text{ nonresonant})/\Gamma(K_0^0\pi^+\pi^-) \qquad \Gamma_{58}/\Gamma_{44} $$
This is the "fit fraction" from the Dalitz-plot analysis. Neither FRABETTI 94G nor ALBRECHT 93D (quoted in many of the earlier submodes of $K_0^0\pi^+\pi^-$) sees evidence for a nonresonant component.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.009±0.004<sup>+0.020</sup><sub>-0.004</sub></td><td>MURAMATSU 02</td><td>CLE2</td><td>Dalitz fit, 5299 evt</td></tr></tbody></table>

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

<table><tbody><tr><td>0.007±0.007<sup>+0.021</sup><sub>-0.006</sub></td><td>ASNER</td><td>04A</td><td>CLEO See MURAMATSU 02</td></tr><tr><td>0.263±0.024±0.041</td><td>ANJOS</td><td>93</td><td>E691 γBe 90-260 GeV</td></tr><tr><td>0.26 ±0.08 ±0.05</td><td>FRABETTI</td><td>92B</td><td>E687 γBe, $\bar{E}_γ$ = 221 GeV</td></tr><tr><td>0.33 ±0.05 ±0.10</td><td>ADLER</td><td>87</td><td>MRK3 e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

$$ \Gamma(K^-\pi^+\pi^0)/\Gamma_{\text{total}} \qquad \Gamma_{59}/\Gamma $$
We do not use the following data for averages, fits, limits, etc. • • •

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

<table><tbody><tr><td>14.57±0.12±0.38</td><td>1 DOBBS</td><td>07</td><td>CLEO See BONVICINI 14</td></tr><tr><td>14.9 ±0.3 ±0.5</td><td>19k ±150</td><td>1 HE</td><td>05 CLEO See DOBBS 07</td></tr><tr><td>13.3 ±1.2 ±1.3</td><td>931</td><td>ADLER</td><td>88C MRK3 e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr><tr><td>11.7 ±4.3</td><td>37</td><td>2 SCHINDLER</td><td>81 MRK2 e<sup>+</sup>e<sup>-</sup> 3.771 GeV</td></tr></tbody></table>

¹ DOBBS 07 and HE 05 use single- and double-tagged events in an overall fit. DOBBS 07 supersedes HE 05.

² SCHINDLER 81 (MARK-2) measures $\sigma(e^+e^- \to \psi(3770)) \times$ branching fraction to be 0.68 ± 0.23 nb. We use the MARK-3 (ADLER 88C) value of $\sigma = 5.8 \pm 0.5 \pm 0.6$ nb.

$$ \Gamma(K^-\pi^+\pi^0)/\Gamma_{\text{fit}} \qquad \Gamma_{59}/\Gamma_{38} $$
Error includes scale factor of 2.3.

3.65 ±0.14 OUR FIT Error includes scale factor of 2.3.

<table><tbody><tr><td>3.802±0.022±0.073</td><td>BONVICINI</td><td>14</td><td>CLEO All CLEO-c runs</td></tr><tr><td>3.81 ±0.07 ±0.26</td><td>BARISH</td><td>96</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> ≈ T(45)</td></tr><tr><td>3.04 ±0.16 ±0.34</td><td>1 ALBRECHT</td><td>92P</td><td>ARG e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr><tr><td>2.8 ±0.14 ±0.52</td><td>KINOSHITA</td><td>91</td><td>CLEO e<sup>+</sup>e<sup>-</sup> ≈ 10.7 GeV</td></tr></tbody></table>

¹ This value is calculated from numbers in Table 1 of ALBRECHT 92P.
WEIGHTED AVERAGE
3.76±0.10 (Error scaled by 1.4)

<figure><img src="image_544.png" /></figure>

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

$$ \Gamma(K^{-} \pi^{+})/\Gamma(K^{-} \pi^{+} \pi^{0}) \qquad \Gamma_{60}/\Gamma_{59} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.78 ± 0.04</strong></td><td colspan="3"><strong>OUR AVERAGE</strong></td></tr><tr><td>0.788 ± 0.019 ± 0.048</td><td>KOPP</td><td>01</td><td>CLE2 Dalitz fit, ≈ 7,000 evt</td></tr><tr><td>0.765 ± 0.041 ± 0.054</td><td>FRABETTI</td><td>94G</td><td>E687 Dalitz fit, 530 evt</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.647 ± 0.039 ± 0.150</td><td>ANJOS</td><td>93</td><td>E691 γBe 90-260 GeV</td></tr><tr><td>0.81 ± 0.03 ± 0.06</td><td>ADLER</td><td>87</td><td>MRK3 e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

$$ \Gamma(K^{-} \rho(1700)^{+}, \rho^{+} \rightarrow \pi^{+} \pi^{0})/\Gamma(K^{-} \pi^{+} \pi^{0}) \qquad \Gamma_{61}/\Gamma_{59} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.057 ± 0.008 ± 0.009</strong></td><td colspan="3"><strong>KOPP</strong></td></tr><tr><td></td><td>01</td><td>CLE2</td><td>Dalitz fit, ≈ 7,000 evt</td></tr></tbody></table>

$$ \Gamma(K^{*}(892)^{-} \pi^{+}, K^{*}(892)^{-} \rightarrow K^{-} \pi^{0})/\Gamma(K^{-} \pi^{+} \pi^{0}) \qquad \Gamma_{62}/\Gamma_{59} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.160<sup>+0.025</sup><sub>-0.013</sub></strong></td><td colspan="3"><strong>OUR AVERAGE</strong></td></tr></tbody></table>

<table><tbody><tr><td>0.161 ± 0.007<sup>+0.027</sup><sub>-0.011</sub></td><td>KOPP</td><td>01</td><td>CLE2 Dalitz fit, ≈ 7,000 evt</td></tr><tr><td>0.148 ± 0.028 ± 0.049</td><td>FRABETTI</td><td>94G</td><td>E687 Dalitz fit, 530 evt</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.084 ± 0.011 ± 0.012</td><td>ANJOS</td><td>93</td><td>E691 γBe 90-260 GeV</td></tr><tr><td>0.12 ± 0.02 ± 0.03</td><td>ADLER</td><td>87</td><td>MRK3 e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

$$ \Gamma(K^{*}(892)^{0} \pi^{0}, K^{*}(892)^{0} \rightarrow K^{-} \pi^{+})/\Gamma(K^{-} \pi^{+} \pi^{0}) \qquad \Gamma_{63}/\Gamma_{59} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.135 ± 0.016</strong></td><td colspan="3"><strong>OUR AVERAGE</strong></td></tr><tr><td>0.127 ± 0.009 ± 0.016</td><td>KOPP</td><td>01</td><td>CLE2 Dalitz fit, ≈ 7,000 evt</td></tr><tr><td>0.165 ± 0.031 ± 0.015</td><td>FRABETTI</td><td>94G</td><td>E687 Dalitz fit, 530 evt</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.142 ± 0.018 ± 0.024</td><td>ANJOS</td><td>93</td><td>E691 γBe 90-260 GeV</td></tr><tr><td>0.13 ± 0.02 ± 0.03</td><td>ADLER</td><td>87</td><td>MRK3 e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

$$ \Gamma(K_{0}^{*}(1430)^{-} \pi^{+}, K_{0}^{*} \rightarrow K^{-} \pi^{0})/\Gamma(K^{-} \pi^{+} \pi^{0}) \qquad \Gamma_{64}/\Gamma_{59} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.033 ± 0.006 ± 0.014</strong></td><td colspan="3"><strong>KOPP</strong></td></tr><tr><td></td><td>01</td><td>CLE2</td><td>Dalitz fit, ≈ 7,000 evt</td></tr></tbody></table>

$$ \Gamma(K_{0}^{*}(1430)^{0} \pi^{0}, K_{0}^{*} \rightarrow K^{-} \pi^{+})/\Gamma(K^{-} \pi^{+} \pi^{0}) \qquad \Gamma_{65}/\Gamma_{59} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.041 ± 0.006<sup>+0.032</sup><sub>-0.009</sub></strong></td><td colspan="3"><strong>KOPP</strong></td></tr><tr><td></td><td>01</td><td>CLE2</td><td>Dalitz fit, ≈ 7,000 evt</td></tr></tbody></table>

$$ \Gamma(K^{*}(1680)^{-} \pi^{+}, K^{*} \rightarrow K^{-} \pi^{0})/\Gamma(K^{-} \pi^{+} \pi^{0}) \qquad \Gamma_{66}/\Gamma_{59} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.013 ± 0.003 ± 0.004</strong></td><td colspan="3"><strong>KOPP</strong></td></tr><tr><td></td><td>01</td><td>CLE2</td><td>Dalitz fit, ≈ 7,000 evt</td></tr></tbody></table>

$$ \Gamma(K^{-} \pi^{+} \pi^{0} \text{ nonresonant})/\Gamma(K^{-} \pi^{+} \pi^{0}) \qquad \Gamma_{67}/\Gamma_{59} $$

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

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.080<sup>+0.040</sup><sub>-0.014</sub></strong></td><td colspan="3"><strong>OUR AVERAGE</strong></td></tr><tr><td>0.075 ± 0.009<sup>+0.056</sup><sub>-0.011</sub></td><td>KOPP</td><td>01</td><td>CLE2 Dalitz fit, ≈ 7,000 evt</td></tr><tr><td>0.101 ± 0.033 ± 0.040</td><td>FRABETTI</td><td>94G</td><td>E687 Dalitz fit, 530 evt</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.036 ± 0.004 ± 0.018</td><td>ANJOS</td><td>93</td><td>E691 γBe 90-260 GeV</td></tr><tr><td>0.09 ± 0.02 ± 0.04</td><td>ADLER</td><td>87</td><td>MRK3 e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr><tr><td>0.51 ± 0.22</td><td>21</td><td>SUMMERS</td><td>84</td><td>Photoproduction</td></tr></tbody></table>

$$ \Gamma(K_{S}^{0} 2\pi^{0})/\Gamma_{\text{total}} \qquad \Gamma_{68}/\Gamma_{69} $$

<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></table>

### 9.1 ±1.1 OUR AVERAGE

<table><tbody><tr><td>10.58 ± 0.38 ± 0.73</td><td>1259</td><td>LOWREY</td><td>11</td><td>CLEO e<sup>+</sup>e<sup>-</sup> ≈ 3.77 GeV</td></tr><tr><td>8.34 ± 0.45 ± 0.42</td><td></td><td>ASNER</td><td>08</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup>D<sup>0</sup>, 3.77 GeV</td></tr></tbody></table>

$$ \Gamma(K_{L}^{0} \pi^{0} \pi^{0})/\Gamma_{\text{total}} \qquad \Gamma_{69}/\Gamma_{70} $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.26 ± 0.05 ± 0.03</strong></td><td>1300</td><td>ABLIKIM</td><td>22BMES3</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

$$ \Gamma(K_{S}^{0}(2\pi^{0})_{S-\text{wave}})/\Gamma(K_{S}^{0} 2\pi^{0}) \qquad \Gamma_{70}/\Gamma_{71} $$

This is the "fit fraction" from the Dalitz-plot 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><strong>26.9 ± 6.3 ± 3.1</strong></td><td colspan="3"><strong>LOWREY</strong></td></tr><tr><td></td><td>11</td><td>CLEO</td><td>Dalitz analysis, 1259 evt</td></tr></tbody></table>

$$ \Gamma(K^{*}(892)^{0} \pi^{0}, K^{*} \rightarrow K_{S}^{0} \pi^{0})/\Gamma(K_{S}^{0} \pi^{0}) \qquad \Gamma_{71}/\Gamma_{72} $$

This is the "fit fraction" from the Dalitz-plot 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><strong>65.6 ± 5.3 ± 2.5</strong></td><td colspan="3"><strong>LOWREY</strong></td></tr><tr><td></td><td>11</td><td>CLEO</td><td>Dalitz analysis, 1259 evt</td></tr></tbody></table>

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

<table><tbody><tr><td>55<sup>+13</sup><sub>-10</sub> ± 7</td><td>PROCARIO</td><td>93B</td><td>CLE2</td><td>Dalitz plot fit, 122 evt</td></tr></tbody></table>

$$ \Gamma(K^{*}(1430)^{0} \pi^{0}, K^{*} \rightarrow K_{S}^{0} \pi^{0})/\Gamma(K_{S}^{0} 2\pi^{0}) \qquad \Gamma_{72}/\Gamma_{73} $$

This is the "fit fraction" from the Dalitz-plot 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><strong>0.49 ± 0.45 ± 2.51</strong></td><td colspan="3"><strong>LOWREY</strong></td></tr><tr><td></td><td>11</td><td>CLEO</td><td>Dalitz analysis, 1259 evt</td></tr></tbody></table>

$$ \Gamma(K^{*}(1680)^{0} \pi^{0}, K^{*} \rightarrow K_{S}^{0} \pi^{0})/\Gamma(K_{S}^{0} 2\pi^{0}) \qquad \Gamma_{73}/\Gamma_{74} $$

This is the "fit fraction" from the Dalitz-plot 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><strong>11.2 ± 2.7 ± 2.5</strong></td><td colspan="3"><strong>LOWREY</strong></td></tr><tr><td></td><td>11</td><td>CLEO</td><td>Dalitz analysis, 1259 evt</td></tr></tbody></table>

$$ \Gamma(K_{S}^{0} f_{2}(1270), f_{2} \rightarrow 2\pi^{0})/\Gamma(K_{S}^{0} 2\pi^{0}) \qquad \Gamma_{74}/\Gamma_{75} $$

This is the "fit fraction" from the Dalitz-plot 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><strong>2.48 ± 0.91 ± 0.78</strong></td><td colspan="3"><strong>LOWREY</strong></td></tr><tr><td></td><td>11</td><td>CLEO</td><td>Dalitz analysis, 1259 evt</td></tr></tbody></table>

$$ \Gamma(2K_{S}^{0}, \text{one } K_{S}^{0} \rightarrow 2\pi^{0})/\Gamma(K_{S}^{0} 2\pi^{0}) \qquad \Gamma_{75}/\Gamma_{76} $$

This is the "fit fraction" from the Dalitz-plot 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><strong>3.46 ± 0.92 ± 0.66</strong></td><td colspan="3"><strong>LOWREY</strong></td></tr><tr><td></td><td>11</td><td>CLEO</td><td>Dalitz analysis, 1259 evt</td></tr></tbody></table>

$$ \Gamma(K_{S}^{0} 2\pi^{0} \text{ nonresonant})/\Gamma(K_{S}^{0} \pi^{0}) \qquad \Gamma_{76}/\Gamma_{77} $$

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

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.37 ± 0.08 ± 0.04</td><td>PROCARIO</td><td>93B</td><td>CLE2</td><td>Dalitz plot fit, 122 evt</td></tr></tbody></table>

$$ \Gamma(K_{S}^{0} 3\pi^{0})/\Gamma_{\text{total}} \qquad \Gamma_{77}/\Gamma_{78} $$

<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><strong>7.64 ± 0.30 ± 0.29</strong></td><td>870</td><td>ABLIKIM</td><td>22Y</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

$$ \Gamma(K^{-} 2\pi^{+} \pi^{-})/\Gamma_{\text{total}} \qquad \Gamma_{78}/\Gamma_{79} $$

<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><tbody><tr><td>8.30 ± 0.07 ± 0.20</td><td>1 DOBBS</td><td>07</td><td>CLEO</td><td>See BONVICINI 14</td></tr><tr><td>8.3 ± 0.2 ± 0.3</td><td>15k</td><td>05</td><td>CLEO</td><td>See DOBBS 07</td></tr><tr><td>7.9 ± 1.5 ± 0.9</td><td>1 HE</td><td>05</td><td>CLEO</td><td>See HE 07</td></tr><tr><td>6.80 ± 0.27 ± 0.57</td><td>1k.4</td><td>94</td><td>ARG</td><td>e<sup>+</sup>e<sup>-</sup> ≈ Υ(45)</td></tr><tr><td>9.1 ± 0.8 ± 0.8</td><td>992</td><td>88c</td><td>MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr><tr><td>11.7 ± 2.5</td><td>185</td><td>81</td><td>MRK2</td><td>e<sup>+</sup>e<sup>-</sup> 3.771 GeV</td></tr><tr><td>6.2 ± 1.9</td><td>44</td><td>77</td><td>LGW</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

¹ DOBBS 07 and HE 05 use single- and double-tagged events in an overall fit. DOBBS 07 supersedes HE 05.

² ALBRECHT 94 uses $D^0$ mesons from $\bar{B}^0 \rightarrow D^*+ \ell^- \bar{\ell}^-$ decays. This is a different set of events than used by ALBRECHT 94.

³ See the footnote on the ALBRECHT 94F measurement of $\Gamma(K^- \pi^+) / \Gamma_{\text{total}}$ for the method used.

⁴ SCHINDLER 81 (MARK-2) measures $\sigma(e^+ e^- \rightarrow \psi(3770)) \times \text{branching fraction}$ to be 0.68 ± 0.11 nb. We use the MARK-3 (ADLER 88c) value of $\sigma = 5.8 \pm 0.5 \pm 0.6$ nb.

⁵ PERUZZI 77 (MARK-1) measures $\sigma(e^+ e^- \rightarrow \psi(3770)) \times \text{branching fraction}$ to be 0.36 ± 0.10 nb. We use the MARK-3 (ADLER 88c) value of $\sigma = 5.8 \pm 0.5 \pm 0.6$ nb.

$$ \Gamma(K^{-} 2\pi^{+} \pi^{-})/\Gamma(K^{-} \pi^{+}) \qquad \Gamma_{78}/\Gamma_{79} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>2.083 ± 0.031 OUR FIT</strong></td><td colspan="3"><strong>2.087 ± 0.032 OUR AVERAGE</strong></td></tr><tr><td>2.106 ± 0.013 ± 0.032</td><td></td><td>BONVICINI</td><td>14</td><td>CLEO All CLEO-c runs</td></tr><tr><td>1.94 ± 0.07<sup>+0.09</sup><sub>-0.11</sub></td><td></td><td>JUN</td><td>00</td><td>SELX Σ<sup>-</sup> nucleus, 600 GeV</td></tr><tr><td>1.7 ± 0.2 ± 0.2</td><td>1745</td><td>ANJOS</td><td>92C</td><td>E691 γBe 90-260 GeV</td></tr><tr><td>1.90 ± 0.25 ± 0.20</td><td>337</td><td>ALVAREZ</td><td>91B</td><td>NA14 Photoproduction</td></tr><tr><td>2.12 ± 0.16 ± 0.09</td><td></td><td>BORTOLETT088</td><td>88</td><td>CLEO e<sup>+</sup>e<sup>-</sup> 10.55 GeV</td></tr><tr><td>2.17 ± 0.28 ± 0.23</td><td></td><td>ALBRECHT</td><td>85F</td><td>ARG e<sup>+</sup>e<sup>-</sup> 10 GeV</td></tr></tbody></table>
• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>2.0 ± 0.9</td><td>48</td><td>BAILEY</td><td>86</td><td>ACCM π<sup>-</sup> Be fixed target</td></tr><tr><td>2.0 ± 1.0</td><td>10</td><td>BAILEY</td><td>83b</td><td>SPEC π<sup>-</sup> Be → D<sup>0</sup></td></tr><tr><td>2.2 ± 0.8</td><td>214</td><td>PICCOLO</td><td>77</td><td>MRK1 e<sup>+</sup> e<sup>-</sup> 4.03, 4.41 GeV</td></tr></table>

$$ \Gamma(K^{-} \pi^{+} \rho^{0} \text{total}) / \Gamma(K^{-} 2\pi^{+} \pi^{-}) \quad \Gamma_{79} / \Gamma_{78} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>83.5 ± 3.5 OUR AVERAGE</strong></td></tr><tr><td>80 ± 3 ± 5</td><td></td><td>ANJOS</td><td>92C</td><td>E691 1745 K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup> evts</td></tr><tr><td>85.5 ± 3.2 ± 3.0</td><td></td><td>COFFMAN</td><td>92B</td><td>MRK3 1281 ± 45 K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup> evts</td></tr></tbody></table>

$$ \Gamma(K^{-} \pi^{+} \rho^{0} \text{body}) / \Gamma(K^{-} 2\pi^{+} \pi^{-}) \quad \Gamma_{80} / \Gamma_{78} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>7.4 ± 2.0 OUR AVERAGE</strong></td></tr><tr><td>8.4 ± 1.1 ± 2.5</td><td>16k</td><td>ABLIKIM</td><td>17o</td><td>BES3 D<sup>0</sup> → K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>5 ± 3 ± 2</td><td></td><td>ANJOS</td><td>92c</td><td>E691 1745 K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup> evts</td></tr><tr><td>8.4 ± 2.2 ± 4.0</td><td></td><td>COFFMAN</td><td>92B</td><td>MRK3 1281 ± 45 K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup> evts</td></tr></tbody></table>

$$ \Gamma(K^{*}(892) \rho^{0}, K^{*0} \rightarrow K^{-} \pi^{+}) / \Gamma(K^{-} 2\pi^{+} \pi^{-}) \quad \Gamma_{81} / \Gamma_{78} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>12.3 ± 0.6 OUR AVERAGE</strong></td></tr><tr><td>12.3 ± 0.4 ± 0.5</td><td>16k</td><td>ABLIKIM</td><td>17o</td><td>BES3 D<sup>0</sup> → K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>13 ± 2 ± 2</td><td></td><td>ANJOS</td><td>92c</td><td>E691 1745 K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup> evts</td></tr></tbody></table>

$$ \Gamma(K^{*}(892) \rho^{0} \text{transverse}, K^{*0} \rightarrow K^{-} \pi^{+}) / \Gamma(K^{-} 2\pi^{+} \pi^{-}) \quad \Gamma_{82} / \Gamma_{78} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.142 ± 0.016 ± 0.05</strong></td><td>1281</td><td>COFFMAN</td><td>92B</td><td>MRK3 K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup> evts</td></tr></tbody></table>

$$ \Gamma(K^{-} a_{1}(1260)^{+}, a_{1}^{+} \rightarrow \rho^{0} \pi^{+}) / \Gamma(K^{-} 2\pi^{+} \pi^{-}) \quad \Gamma_{83} / \Gamma_{78} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>53 ± 4 OUR AVERAGE</strong></td></tr><tr><td>54.6 ± 2.8 ± 3.7</td><td>16k</td><td>ABLIKIM</td><td>17o</td><td>BES3 D<sup>0</sup> → K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>47 ± 5 ± 10</td><td>1745</td><td>ANJOS</td><td>92c</td><td>E691 K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup> evts</td></tr><tr><td>49.2 ± 2.4 ± 8.0</td><td>1281</td><td>COFFMAN</td><td>92B</td><td>MRK3 K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup> evts</td></tr></tbody></table>

$$ \Gamma(K_{1}(1270)^{-} \pi^{+}, K_{1}^{-} \rightarrow K^{-} \pi^{+} \pi^{-} \text{total}) / \Gamma(K^{-} 2\pi^{+} \pi^{-}) \quad \Gamma_{84} / \Gamma_{78} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>4.8 ± 0.4 OUR AVERAGE</strong></td></tr><tr><td>4.66 ± 0.05 ± 0.39 ± 0.24</td><td>891k</td><td>1 AAIJ</td><td>18AI</td><td>LHCB D<sup>0</sup> → K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>6.6 ± 1.9 ± 0.3</td><td>1281</td><td>COFFMAN</td><td>92B</td><td>MRK3 K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup> evts</td></tr></tbody></table>

¹ The 3rd error is due to the uncertainty in the amplitude model composition.

$$ \Gamma(K_{1}(1270)^{-} \pi^{+}, K_{1}^{-} \rightarrow \bar{K}^{*}(892)^{0} \pi^{-}, \bar{K}^{*0} \rightarrow K^{-} \pi^{+}) / \Gamma(K^{-} 2\pi^{+} \pi^{-}) \quad \Gamma_{87} / \Gamma_{78} $$

<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><strong>0.8 ± 0.2 ± 0.2</strong></td><td>16k</td><td>ABLIKIM</td><td>17o</td><td>BES3 D<sup>0</sup> → K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td></tr></tbody></table>

$$ \Gamma(K^{-} 2\pi^{+} \pi^{-} \text{nonresonant}) / \Gamma(K^{-} 2\pi^{+} \pi^{-}) \quad \Gamma_{88} / \Gamma_{78} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>22.0 ± 0.8 OUR AVERAGE</strong></td></tr><tr><td>22.04 ± 0.28 ± 2.09 ± 1.51</td><td>891k</td><td>1 AAIJ</td><td>18AI</td><td>LHCB D<sup>0</sup> → K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>21.9 ± 0.6 ± 0.6</td><td>16k</td><td>2 ABLIKIM</td><td>17o</td><td>BES3 D<sup>0</sup> → K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>23 ± 2 ± 3</td><td>1.7k</td><td>ANJOS</td><td>92c</td><td>E691 D<sup>0</sup> → K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>24.2 ± 2.5 ± 6.0</td><td>1.2k</td><td>COFFMAN</td><td>92B</td><td>MRK3 D<sup>0</sup> → K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td></tr></tbody></table>

¹ The 3rd error is due to the uncertainty in the amplitude model composition.

² In addition to the 14 ABLIKIM 17o branching ratios we have listed, the paper gives 15 more ratios for mostly non-resonant modes. Four of the 15 have less than 2-standard-deviation significance. Here are some of the omitted modes, with S, P, V, A, and T for scalar, pseudo-scalar, vector, axial-vector, and tensor spin sub-structures: $\pi^{+}(K^{-} \rho^{0})_{P}$, $\pi^{+}(K^{-} \rho^{0})_{V}$, $\pi^{+}(\bar{K}^{*0} \pi^{-})_{P}$, $\pi^{+}(\bar{K}^{*0} \pi^{-})_{V}$, $\pi^{+}(\pi^{-}(K^{-} \pi^{+})_{S-wave})_{A}$, $(K^{-} \pi^{+})_{V}(\pi^{+} \pi^{-})_{S}$, $(K^{-} \pi^{+})_{T}(\pi^{+} \pi^{-})_{S}...$

$$ \Gamma(K_{S}^{0} \pi^{+} \pi^{-} \pi^{0}) / \Gamma_{\text{total}} \quad \Gamma_{89} / \Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>5.2 ± 0.6 OUR FIT</strong></td></tr><tr><td colspan="5"><strong>5.2 ± 1.1 ± 1.2</strong></td></tr><tr><td colspan="5">140 COFFMAN 92B MRK3 e<sup>+</sup> e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

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

<table><tr><td>6.7<sup>+1.6</sup><sub>-1.7</sub></td><td>1</td><td>BARLAG</td><td>92c</td><td>ACCM π<sup>-</sup> Cu 230 GeV</td></tr></table>

¹ BARLAG 92c computes the branching fraction using topological normalization.

$$ \Gamma(K_{S}^{0} \pi^{+} \pi^{-} \pi^{0}) / \Gamma(K_{S}^{0} \pi^{+} \pi^{-}) \quad \Gamma_{89} / \Gamma_{44} $$

Branching fractions for submodes of this mode with narrow resonances (the $\eta$, $\omega$, $\eta'$) are fairly well determined (see below). COFFMAN 92b gives fractions of $K^{*}$ and $\rho$ submodes, but with only 140 ± 28 events above background could not determine them with much accuracy. We omit those measurements here; they are in our 2008 Review (Physics Letters B667 1 (2008)).

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>1.85 ± 0.20 OUR FIT</strong></td></tr><tr><td colspan="5"><strong>1.86 ± 0.23 OUR AVERAGE</strong></td></tr><tr><td>1.80 ± 0.20 ± 0.21</td><td>190</td><td>1 ALBRECHT</td><td>92P</td><td>ARG e<sup>+</sup> e<sup>-</sup> ≈ 10 GeV</td></tr><tr><td>2.8 ± 0.8 ± 0.8</td><td>46</td><td>ANJOS</td><td>92c</td><td>E691 γBe 90-260 GeV</td></tr><tr><td>1.85 ± 0.26 ± 0.30</td><td>158</td><td>KINOSHITA</td><td>91</td><td>CLEO e<sup>+</sup> e<sup>-</sup> ~ 10.7 GeV</td></tr></tbody></table>

¹ This value is calculated from numbers in Table 1 of ALBRECHT 92p.

$$ \Gamma(K^{-} \pi^{+} 2\pi^{0}) / \Gamma_{\text{total}} \quad \Gamma_{92} / \Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>8.86 ± 0.13 ± 0.19</strong></td><td>6.1k</td><td>ABLIKIM</td><td>19Ak</td><td>BES3 e<sup>+</sup> e<sup>-</sup> at 3773 MeV</td></tr></tbody></table>

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

<table><tr><td>17.7 ± 2.9</td><td>1</td><td>BARLAG</td><td>92c</td><td>ACCM π<sup>-</sup> Cu 230 GeV</td></tr><tr><td>14.9 ± 3.7 ± 3.0</td><td>24</td><td>2</td><td>ADLER</td><td>88c</td><td>MRK3 e<sup>+</sup> e<sup>-</sup> 3.77 GeV</td></tr><tr><td>20.9 <sup>+7.4</sup><sub>-4.3</sub> ± 1.2</td><td>9</td><td>3</td><td>AGUILAR...</td><td>87f</td><td>HYBR πp, pp 360, 400 GeV</td></tr></table>

¹ AGUILAR-BENITEZ 87f and BARLAG 92c compute the branching fraction using topological normalization. They do not distinguish the presence of a third $\pi^{0}$, and thus are not included in the average.

² ADLER 88c uses an absolute normalization method finding this decay channel opposite a detected $D^{0} \rightarrow K^{+} \pi^{-}$ in pure $D\bar{D}$ events.

$$ \Gamma(K^{-} \pi^{+} 3\pi^{0}) / \Gamma_{\text{total}} \quad \Gamma_{93} / \Gamma $$

<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><strong>9.54 ± 0.30 ± 0.31</strong></td><td>1.6k</td><td>ABLIKIM</td><td>22γ</td><td>BES3 e<sup>+</sup> e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

$$ \Gamma(K_{S}^{0} \pi^{+} \pi^{-} 2\pi^{0}) / \Gamma_{\text{total}} \quad \Gamma_{94} / \Gamma $$

<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><strong>12.66 ± 0.45 ± 0.43</strong></td><td>1.2k</td><td>ABLIKIM</td><td>22γ</td><td>BES3 e<sup>+</sup> e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

$$ \Gamma(K^{-} 2\pi^{+} \pi^{-} \pi^{0}) / \Gamma(K^{-} \pi^{+}) \quad \Gamma_{95} / \Gamma_{38} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.09 ± 0.10 OUR FIT</strong></td><td>225</td><td>1 ALBRECHT</td><td>92P</td><td>ARG e<sup>+</sup> e<sup>-</sup> ≈ 10 GeV</td></tr><tr><td><strong>0.98 ± 0.11 ± 0.11</strong></td><td>225</td><td>1 ALBRECHT</td><td>92P</td><td>ARG e<sup>+</sup> e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

¹ This value is calculated from numbers in Table 1 of ALBRECHT 92p.

$$ \Gamma(K^{-} 2\pi^{+} \pi^{-} \pi^{0}) / \Gamma(K^{-} 2\pi^{+} \pi^{-}) \quad \Gamma_{95} / \Gamma_{78} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>0.52 ± 0.05 OUR FIT</strong></td></tr><tr><td colspan="5"><strong>0.56 ± 0.07 OUR AVERAGE</strong></td></tr><tr><td>0.55 ± 0.07 <sup>+0.12</sup><sub>-0.09</sub></td><td>167</td><td>KINOSHITA</td><td>91</td><td>CLEO e<sup>+</sup> e<sup>-</sup> ~ 10.7 GeV</td></tr><tr><td>0.57 ± 0.06 ± 0.05</td><td>180</td><td>ANJOS</td><td>90d</td><td>E691 Photoproduction</td></tr></tbody></table>

$$ \Gamma(K^{*}(892) \pi^{0} \pi^{+} \pi^{-}, \bar{K}^{*0} \rightarrow K^{-} \pi^{+}) / \Gamma_{\text{total}} \quad \Gamma_{96} / \Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>1.3 ± 0.6 OUR EVALUATION</strong></td></tr><tr><td colspan="5">seen</td></tr><tr><td>ALBRECHT</td><td>92P</td><td>ARG</td><td>e<sup>+</sup> e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

$$ \Gamma(K^{*}(892) \pi^{0}, \bar{K}^{*0} \rightarrow K^{-} \pi^{+}, \omega \rightarrow \pi^{+} \pi^{-} \pi^{0}) / \Gamma_{\text{total}} \quad \Gamma_{97} / \Gamma $$

<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><strong>6.5 ± 3.0</strong></td><td>10.1k</td><td>1 ALBRECHT</td><td>92P</td><td>ARG e<sup>+</sup> e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

¹ This value is calculated from numbers in Table 2 of ALBRECHT 92p.

$$ \Gamma(K^{-} \pi^{+} \omega) / \Gamma_{\text{total}} \quad \Gamma_{98} / \Gamma $$

<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><strong>3.392 ± 0.044 ± 0.085</strong></td><td>10.1k</td><td>1 ALBRECHT</td><td>22U</td><td>BES3 e<sup>+</sup> e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

¹ ABLIKIM 22u determines the ratios $B(D^{0} \rightarrow K_{S}^{0} \pi^{0} \omega)/B(D^{0} \rightarrow K^{-} \pi^{+} \omega) = 0.23 \pm 0.01 \pm 0.01$ and $B(D^{+} \rightarrow K_{S}^{0} \pi^{+} \omega)/B(D^{0} \rightarrow K^{-} \pi^{+} \omega) = 0.21 \pm 0.01 \pm 0.01$, in significant tension with statistical isospin model expectations of 0.4 and 0.9 respectively.

$$ \Gamma(K^{-} \pi^{+} \pi^{0}) / \Gamma(K^{-} \pi^{+}) \quad \Gamma_{98} / \Gamma_{38} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.78 ± 0.12 ± 0.10</td><td>99</td><td>1</td><td>ALBRECHT</td><td>92P</td><td>ARG e<sup>+</sup> e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

¹ This value is calculated from numbers in Table 1 of ALBRECHT 92p.

$$ \Gamma(K^{*}(892) \pi^{0}) / \Gamma(K^{-} \pi^{+}) \quad \Gamma_{99} / \Gamma_{38} $$

<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><strong>0.28 ± 0.11 ± 0.04</strong></td><td>17</td><td>1 ALBRECHT</td><td>92P</td><td>ARG e<sup>+</sup> e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

¹ This value is calculated from numbers in Table 1 of ALBRECHT 92p.

$$ \Gamma(K_{S}^{0} \pi^{0} \omega) / \Gamma_{\text{total}} \quad \Gamma_{100} / \Gamma $$

<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><strong>0.848 ± 0.046 ± 0.031</strong></td><td>697</td><td>1 ALBILIKIM</td><td>22U</td><td>BES3 e<sup>+</sup> e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

¹ ABLIKIM 22u determines the ratio $B(D^{0} \rightarrow K_{S}^{0} \pi^{0} \omega)/B(D^{0} \rightarrow K^{-} \pi^{+} \omega) = 0.23 \pm 0.01 \pm 0.01$, in significant tension with statistical isospin model expectation of 0.4.

$$ \Gamma(K_{S}^{0} \eta \pi^{0}) / \Gamma_{\text{total}} \quad \Gamma_{101} / \Gamma $$

<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><strong>10.06 ± 0.34 ± 0.30</strong></td><td>1.1k</td><td>ABLIKIM</td><td>20γ</td><td>BES3 e<sup>+</sup> e<sup>-</sup>, 3773 MeV</td></tr></tbody></table>

$$ \Gamma(K_{S}^{0} \eta \pi^{0}) / \Gamma(K_{S}^{0} \pi^{0}) \quad \Gamma_{101} / \Gamma_{39} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.46 ± 0.07 ± 0.06</strong></td><td>155 ± 22</td><td>1 RUBIN</td><td>04</td><td>CLEO e<sup>+</sup> e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

¹ The $\eta$ here is detected in its $\gamma\gamma$ mode, but other $\eta$ modes are included in the value given.
$$ \Gamma(\mathcal{K}_S^0 a_0(980), a_0 \to \eta\pi^0)/\Gamma(\mathcal{K}_S^0 \eta\pi^0) \qquad \Gamma_{102/\Gamma_{101}} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.19±0.09±0.26</td><td>1 RUBIN</td><td>04</td><td>CLEO Dalitz fit, 155 evt</td></tr></tbody></table>

¹In addition to $K_S^0 a_0(980)$ and $\bar{K}^*(892^0)\eta$ modes, RUBIN 04 finds a fit fraction of 0.246 ± 0.092 ± 0.091 for other, undetermined modes.

$$ \Gamma(\bar{K}^*(892)^0 \eta, \bar{K}^*0 \to K_S^0 \eta^0)/\Gamma(\bar{K}_S^0 \eta \pi^0) \qquad \Gamma_{103/\Gamma_{101}} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.293±0.062±0.035</td><td>1 RUBIN</td><td>04</td><td>CLEO Dalitz fit, 155 evt</td></tr></tbody></table>

¹See the note on RUBIN 04 in the preceding data block.

$$ \Gamma(\bar{K}^0 \pi^+ \eta)/\Gamma_{\text{total}} \qquad \Gamma_{104/\Gamma} $$

<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>1.88 ±0.05</td><td>OUR FIT</td><td></td><td></td><td>Error includes scale factor of 1.4.</td></tr><tr><td>1.853±0.025±0.031</td><td>6.1k</td><td>ABLIKIM</td><td>20v</td><td>BES3 e<sup>+</sup>e<sup>-</sup> , 3773 MeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^0 \pi^+ \eta)/\Gamma(\bar{K}^0 \pi^+) \qquad \Gamma_{104/\Gamma_{38}} $$

<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>47.6±1.3 OUR FIT</td><td></td><td></td><td></td><td>Error includes scale factor of 1.4.</td></tr><tr><td>50.1±2.0±0.2</td><td>116k</td><td>1 CHEN</td><td>20a</td><td>BELL e<sup>+</sup>e<sup>-</sup> at T(45)</td></tr></tbody></table>

¹CHEN 20A reports 0.500 ± 0.002 ± 0.020 ± 0.003 from a measurement of $\Gamma(D^0 \to K^-\pi^+\eta)/\Gamma(D^0 \to K^-\pi^-\eta) \times [B(\eta \to 2\gamma)]$ assuming $B(\eta \to 2\gamma) = (39.41 \pm 0.20) \times 10^{-2}$, which we rescale to our best value $B(\eta \to 2\gamma) = (39.36 \pm 0.18) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value. The third reported uncertainty is the uncertainty from $B(\eta \to \gamma\gamma)$.

$$ \Gamma(\bar{K}^*(892)^0 \eta, \bar{K}^0 \to K^-\pi^+)/\Gamma(\bar{K}^0 \pi^+ \eta) \qquad \Gamma_{105/\Gamma_{104}} $$

<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>47.61±1.32<sup>+0.24+3.64</sup><sub>-0.49-2.71</sub></td><td>1 CHEN</td><td>20a</td><td>BELL e<sup>+</sup>e<sup>-</sup> at T(45)</td></tr></tbody></table>

¹The third uncertainty is due to the uncertainty from the Dalitz model.

$$ \Gamma(a_0(980) + K, a_0^+ \to \eta\pi^0)/\Gamma(\bar{K}^0 \pi^+ \eta) \qquad \Gamma_{106/\Gamma_{104}} $$

<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>39.28±1.50<sup>+1.58+4.38</sup><sub>-0.51-3.30</sub></td><td>1 CHEN</td><td>20a</td><td>BELL e<sup>+</sup>e<sup>-</sup> at T(45)</td></tr></tbody></table>

¹The third uncertainty is due to the uncertainty from the Dalitz model.

$$ \Gamma(\bar{K}_S^*(1980)^- \pi^+, \bar{K}_S^2^- \to K^-\eta)/\Gamma_{\text{total}} \qquad \Gamma_{107/\Gamma} $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.2<sup>+1.7</sup><sub>-1.9</sub></td><td>CHEN</td><td>20a</td><td>BELL e<sup>+</sup>e<sup>-</sup> at T(45)</td></tr></tbody></table>

$$ \Gamma(\bar{K}^0 \pi^+ \pi^0 \eta)/\Gamma_{\text{total}} \qquad \Gamma_{108/\Gamma} $$

<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>4.49±0.22±0.15</td><td>580</td><td>ABLIKIM</td><td>20v</td><td>BES3 e<sup>+</sup>e<sup>-</sup> , 3773 MeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \pi^+ \pi^- \eta)/\Gamma_{\text{total}} \qquad \Gamma_{109/\Gamma} $$

<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>2.80±0.19±0.10</td><td>250</td><td>ABLIKIM</td><td>20v</td><td>BES3 e<sup>+</sup>e<sup>-</sup> , 3773 MeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 2\pi^0 \eta)/\Gamma_{\text{total}} \qquad \Gamma_{110/\Gamma} $$

<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>1.76±0.23±0.13</td><td>65</td><td>ABLIKIM</td><td>20v</td><td>BES3 e<sup>+</sup>e<sup>-</sup> , 3773 MeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 2\pi^+ \pi^-)/\Gamma(\bar{K}_S^0 \pi^+ \pi^-) \qquad \Gamma_{111/\Gamma_{44}} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.095±0.005±0.007</td><td>1283 ± 57</td><td>LINK</td><td>04d</td><td>FOCS γA, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

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

<table><tbody><tr><td>0.07 ± 0.02 ± 0.01</td><td>11</td><td>1 ALBRECHT</td><td>92p ARG</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr><tr><td>0.149 ± 0.026</td><td>56</td><td>AMMAR</td><td>91 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10.5 GeV</td></tr><tr><td>0.18 ± 0.07 ± 0.04</td><td>6</td><td>ANJOS</td><td>90d E691</td><td>Photoproduction</td></tr></tbody></table>

¹This value is calculated from numbers in Table 1 of ALBRECHT 92p.

$$ \Gamma(\bar{K}_S^0 \rho^0 \pi^+ \pi^- , \text{no } \bar{K}^*(892)^0)/\Gamma(\bar{K}_S^0 2\pi^+ \pi^-) \qquad \Gamma_{112/\Gamma_{111}} $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.40±0.24±0.07</td><td>LINK</td><td>04d</td><td>FOCS γA, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^*(892)^- 2\pi^+ \pi^-, \bar{K}^*(892)^- \to K_S^0 \eta, \text{no } \rho^0)/\Gamma(\bar{K}_S^0 2\pi^+ \pi^-) \qquad \Gamma_{113/\Gamma_{111}} $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.17±0.28±0.02</td><td>LINK</td><td>04d</td><td>FOCS γA, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^*(892)^- \rho^0 \pi^+, \bar{K}^*(892)^- \to K_S^0 \pi^-)/\Gamma(\bar{K}_S^0 2\pi^+ \pi^-) \qquad \Gamma_{114/\Gamma_{111}} $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.60±0.21±0.09</td><td>LINK</td><td>04d</td><td>FOCS γA, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 2\pi^+ 2\pi^- \text{nonresonant})/\Gamma(\bar{K}_S^0 2\pi^+ \pi^-) \qquad \Gamma_{115/\Gamma_{111}} $$

<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;0.46</td><td>90</td><td>LINK</td><td>04d</td><td>FOCS γA, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^3\pi^+ 2\pi^-)/\Gamma(\bar{K}^2\pi^+ \pi^-) \qquad \Gamma_{117/\Gamma_{78}} $$

<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>2.70±0.58±0.38</td><td>48 ± 10</td><td>LINK</td><td>04B</td><td>FOCS γA, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \eta)/\Gamma_{\text{total}} \qquad \Gamma_{118/\Gamma} $$

Unseen decay modes of the η are included.

<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>5.09±0.13 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>5.13±0.07±0.12</td><td>9.5k</td><td>ABLIKIM</td><td>18w</td><td>BES3 e<sup>+</sup>e<sup>-</sup> , 3773 MeV</td></tr></tbody></table>

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

<table><tbody><tr><td>4.42±0.15±0.28</td><td>ASNER</td><td>08</td><td>CLEO</td><td>See MENDEZ 10</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \eta)/[\Gamma(\bar{K}^0 \pi^+) + \Gamma(\bar{K}^0 \pi^-)] \qquad \Gamma_{118/(\bar{K}^0 + \bar{K}^0 + 289)} $$

Unseen decay modes of the η are included.

<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>12.83±0.33 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>12.3 ± 0.3 ± 0.7</td><td>2864 ± 65</td><td>MENDEZ</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 3774 MeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \eta)/\Gamma(\bar{K}_S^0 \pi^0) \qquad \Gamma_{118/\Gamma_{39}} $$

Unseen decay modes of the η 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>0.32±0.04±0.03</td><td>225 ± 30</td><td>PROCARIO</td><td>93B</td><td>CLE2 η → γγ</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \eta)/\Gamma(\bar{K}_S^0 \pi^+ \pi^-) \qquad \Gamma_{118/\Gamma_{44}} $$

Unseen decay modes of the η 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>0.14±0.02±0.02</td><td>80 ± 12</td><td>PROCARIO</td><td>93B</td><td>CLE2 η → π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \omega)/\Gamma_{\text{total}} \qquad \Gamma_{119/\Gamma} $$

Unseen decay modes of the ω are included.

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.11±0.06 OUR FIT</td><td></td><td></td><td></td></tr><tr><td>1.12±0.04±0.05</td><td>ASNER</td><td>08</td><td>CLEO e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup>D<sup>0</sup>, 3.77 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \omega)/\Gamma(\bar{K}^0 \pi^+) \qquad \Gamma_{119/\Gamma_{38}} $$

Unseen decay modes of the ω 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>0.50±0.18±0.10</td><td>ALBRECHT</td><td>89d</td><td>ARG</td><td>e<sup>+</sup>e<sup>-</sup> 10 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \omega)/\Gamma(\bar{K}_S^0 \pi^+ \pi^-) \qquad \Gamma_{119/\Gamma_{44}} $$

Unseen decay modes of the ω 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>0.396±0.030 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>0.33 ±0.09 OUR AVERAGE</td><td></td><td></td><td></td><td>Error includes scale factor of 1.1.</td></tr></tbody></table>

<table><tbody><tr><td>0.29 ± 0.08 ± 0.05</td><td>16</td><td>1 ALBRECHT</td><td>92p ARG</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr><tr><td>0.54 ± 0.14 ± 0.16</td><td>40</td><td>KINOSHITA</td><td>91</td><td>CLEO e<sup>+</sup>e<sup>-</sup> ~ 10.7 GeV</td></tr></tbody></table>

¹This value is calculated from numbers in Table 1 of ALBRECHT 92p.

$$ \Gamma(\bar{K}_S^0 \omega)/\Gamma(\bar{K}_S^0 \pi^+ \pi^- \pi^0) \qquad \Gamma_{119/\Gamma_{89}} $$

Unseen decay modes of the ω are included.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.215±0.026 OUR FIT</td><td></td><td></td><td></td></tr><tr><td>0.220±0.048±0.0116</td><td>COFFMAN</td><td>92B</td><td>MRK3 1281 ± 45 K<sup>-</sup>2π<sup>+</sup>π<sup>-</sup> evts</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \eta'(958))/\Gamma_{\text{total}} \qquad \Gamma_{120/\Gamma} $$

<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>9.49±0.32 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>9.49±0.20±0.36</td><td>3k</td><td>ABLIKIM</td><td>18w</td><td>BES3 e<sup>+</sup>e<sup>-</sup> , 3773 MeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \eta'(958))/[\Gamma(\bar{K}^0 \pi^+) + \Gamma(\bar{K}^0 \pi^-)] \qquad \Gamma_{120/(\bar{K}^0 + \bar{K}^0 + 289)} $$

Unseen decay modes of the η'(958) are included.

<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>24.0±0.8 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>24.3±0.8±1.1</td><td>1321 ± 42</td><td>MENDEZ</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 3774 MeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_S^0 \eta'(958))/\Gamma(\bar{K}_S^0 \pi^+ \pi^-) \qquad \Gamma_{120/\Gamma_{44}} $$

Unseen decay modes of the η'(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>0.339±0.022 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>0.32 ± 0.04 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr></tbody></table>

<table><tbody><tr><td>0.31 ± 0.02 ± 0.04</td><td>594</td><td>PROCARIO</td><td>93B</td><td>CLE2 η' → ηπ<sup>+</sup>π<sup>-</sup>, ρ<sup>0</sup>γ</td></tr><tr><td>0.37 ± 0.13 ± 0.06</td><td>18</td><td>1 ALBRECHT</td><td>92p ARG</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

¹This value is calculated from numbers in Table 1 of ALBRECHT 92p.

$$ \Gamma(\bar{K}^*(892)^0 \pi^+ \pi^- \pi^0)/\Gamma(\bar{K}^2\pi^+ \pi^- \pi^0) \qquad \Gamma_{121/\Gamma_{95}} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.45±0.15±0.15</td><td>ANJOS</td><td>90d</td><td>E691 Photoproduction</td></tr></tbody></table>
$$ \Gamma(\bar{K}^*(892)^0\eta)/\Gamma_{\text{total}} \qquad \Gamma_{122}/\Gamma $$

<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>1.41<sup>+0.13</sup><sub>-0.12</sub>±0.01</td><td></td><td></td><td></td></tr></tbody></table>

¹ CHEN 20A reports (1.41 ± 0.04) +0.12/-0.11 ± 0.01) × 10⁻² from a measurement of [Γ(D⁰ → K*(892)⁰η)/Γ<sub>total</sub>] × [B(η → 2γ)] assuming B(η → 2γ) = (39.41 ± 0.20) × 10⁻², which we rescale to our best value B(η → 2γ) = (39.36 ± 0.18) × 10⁻². Our first error is their experiment's error and our second error is the systematic error from using our best value. The third reported uncertainty is the uncertainty from B(η → γγ).

$$ \Gamma(\bar{K}^*(892)^0\eta)/\Gamma(K^-\pi^+) \qquad \Gamma_{122}/\Gamma_{38} $$

Unseen decay modes of the $\bar{K}^*(892)^0$ and $\eta$ 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>0.58±0.19<sup>+0.24</sup><sub>-0.28</sub></td><td>46</td><td>KINOSHITA</td><td>91</td><td>CLEO e<sup>+</sup>e<sup>-</sup> ~ 10.7 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^*(892)^0\eta)/\Gamma(K^-\pi^+\pi^0) \qquad \Gamma_{122}/\Gamma_{59} $$

Unseen decay modes of the $\bar{K}^*(892)^0$ and $\eta$ 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>0.13±0.02±0.03</td><td>214</td><td>PROCARIO</td><td>93B</td><td>CLE2 $\bar{K}^*0\eta \to K^-\pi^+/\gamma\gamma$</td></tr></tbody></table>

$$ \Gamma(K^-\pi^+\eta'(958))/\Gamma_{\text{total}} \qquad \Gamma_{123}/\Gamma $$

<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>6.43±0.15±0.31</td><td>2.5k</td><td>ABLIKIM</td><td>18AC</td><td>BES3 e<sup>+</sup>e<sup>-</sup> ~ 3773 MeV</td></tr></tbody></table>

$$ \Gamma(K^-\pi^+\eta'(958))/\Gamma(K^-2\pi^+\pi^-) \qquad \Gamma_{123}/\Gamma_{78} $$

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>0.093±0.014±0.019</td><td>286</td><td>PROCARIO</td><td>93B</td><td>CLE2 $\eta' \to \eta\pi^+\pi^-$, $\rho^0\gamma$</td></tr></tbody></table>

$$ \Gamma(K_5^0\eta'(958)\pi^0)/\Gamma_{\text{total}} \qquad \Gamma_{124}/\Gamma $$

<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>2.52±0.22±0.15</td><td>289</td><td>ABLIKIM</td><td>18AC</td><td>BES3 e<sup>+</sup>e<sup>-</sup> ~ 3773 MeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^*(892)^0\eta'(958))/\Gamma(K^-\pi^+\eta'(958)) \qquad \Gamma_{125}/\Gamma_{123} $$

Unseen decay modes of the $\bar{K}^*(892)^0$ 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;0.15</td><td>90</td><td>PROCARIO</td><td>93B</td><td>CLE2</td></tr></tbody></table>

Hadronic modes with three K's

$$ \Gamma(K_5^0K^+K^-)/\Gamma(K_5^0\pi^+\pi^-) \qquad \Gamma_{126}/\Gamma_{44} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.158±0.001±0.005</td><td>14k±116</td><td>AUBERT,B</td><td>05J</td><td>BABR e<sup>+</sup>e<sup>-</sup> ~ T(45)</td></tr><tr><td>0.20±0.05±0.04</td><td>47</td><td>FRABETTI</td><td>92B</td><td>E687 γ Be, $\bar{E}_γ$ = 221 GeV</td></tr><tr><td>0.170±0.022</td><td>136</td><td>AMMAR</td><td>91</td><td>CLEO e<sup>+</sup>e<sup>-</sup> ~ 10.5 GeV</td></tr><tr><td>0.24±0.08</td><td>52</td><td>BEBEK</td><td>86</td><td>CLEO e<sup>+</sup>e<sup>-</sup> near T(45)</td></tr><tr><td>0.185±0.055</td><td>52</td><td>ALBRECHT</td><td>85B</td><td>ARG e<sup>+</sup>e<sup>-</sup> 10 GeV</td></tr></tbody></table>

$$ \Gamma(K_5^0a_0(980)^0, a_0^0 \to K^+K^-)/\Gamma(K_5^0K^+K^-) \qquad \Gamma_{127}/\Gamma_{126} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.664±0.016±0.070</td><td>AUBERT,B</td><td>05J</td><td>BABR Dalitz fit, 12540 ± 112 evts</td></tr></tbody></table>

$$ \Gamma(K^-a_0(980)^+, a_0^+ \to K^+K_5^0)/\Gamma(K_5^0K^+K^-) \qquad \Gamma_{128}/\Gamma_{126} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.134±0.011±0.037</td><td>AUBERT,B</td><td>05J</td><td>BABR Dalitz fit, 12540 ± 112 evts</td></tr></tbody></table>

$$ \Gamma(K^+a_0(980)^-, a_0^- \to K^-K_5^0)/\Gamma(K_5^0K^+K^-) \qquad \Gamma_{129}/\Gamma_{126} $$

This is a doubly Cabibbo-suppressed mode.

<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;0.025</td><td>95</td><td>AUBERT,B</td><td>05J</td><td>BABR Dalitz fit, 12540 ± 112 evts</td></tr></tbody></table>

$$ \Gamma(K_5^0f_0(980), f_0 \to K^+K^-)/\Gamma(K_5^0K^+K^-) \qquad \Gamma_{130}/\Gamma_{126} $$

<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;0.021</td><td>95</td><td>AUBERT,B</td><td>05J</td><td>BABR Dalitz fit, 12540 ± 112 evts</td></tr></tbody></table>

$$ \Gamma(K_5^0\phi, \phi \to K^+K^-)/\Gamma(K_5^0K^+K^-) \qquad \Gamma_{131}/\Gamma_{126} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.459±0.007±0.007</td><td>AUBERT,B</td><td>05J</td><td>BABR Dalitz fit, 12540 ± 112 evts</td></tr></tbody></table>

$$ \Gamma(K_5^0\phi)/\Gamma_{\text{total}} \qquad \Gamma_{132}/\Gamma $$

<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>4.14±0.21±0.10</td><td>904</td><td>1 ABLIKIM</td><td>22w BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

¹ ABLIKIM 22w reports (0.414 ± 0.021 ± 0.010) × 10⁻² from a measurement of [Γ(D⁰ → K⁰⁰φ)/Γ<sub>total</sub>] × [B(φ(1020) → K⁺K⁻)] assuming B(φ(1020) → K⁺K⁻) = 0.491 ± 0.005.

$$ \Gamma(K_5^0f_0(1370), f_0 \to K^+K^-)/\Gamma(K_5^0K^+K^-) \qquad \Gamma_{133}/\Gamma_{126} $$

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.038±0.007±0.023</td><td></td><td></td><td></td></tr></tbody></table>

¹ AUBERT,B 05J calls the mode $K_5^0f_0(1400)$, but insofar as it is seen here at all, it is certainly the same as $f_0(1370)$.

$$ \Gamma(3K_5^0)/\Gamma_{\text{total}} \qquad \Gamma_{134}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>7.5±0.7</td><td>OUR FIT</td><td>Error includes scale factor of 1.4.</td><td></td><td></td></tr><tr><td>7.21±0.33±0.44</td><td></td><td>ABLIKIM</td><td>17A</td><td>BES3 e<sup>+</sup>e<sup>-</sup> → ψ(3770)</td></tr></tbody></table>

$$ \Gamma(3K_5^0)/\Gamma(K_5^0\pi^+\pi^-) \qquad \Gamma_{134}/\Gamma_{44} $$

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

²⁷.⁰⁰±⁰.²⁶ OUR FIT Error includes scale factor of 1.2.

3.2 ±0.4 OUR AVERAGE

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.58±0.54±0.52</td><td>170±26</td><td>LINK</td><td>05A</td><td>FOCS γ Be, $\bar{E}_γ$ ≈ 180 GeV</td></tr><tr><td>2.78±0.38±0.48</td><td>61</td><td>ASNER</td><td>96B</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> ≈ T(45)</td></tr><tr><td>7.0±2.4±1.2</td><td>10±3</td><td>FRABETTI</td><td>94J</td><td>E687 γ Be, $\bar{E}_γ$ = 220 GeV</td></tr><tr><td>3.2±1.0</td><td>22</td><td>AMMAR</td><td>91</td><td>CLEO e<sup>+</sup>e<sup>-</sup> ≈ 10.5 GeV</td></tr><tr><td>3.4±1.4±1.0</td><td>5</td><td>ALBRECHT</td><td>90C</td><td>ARG e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

$$ \Gamma(K^+2K^-\pi^+)/\Gamma(K^-2\pi^+\pi^-) \qquad \Gamma_{135}/\Gamma_{78} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0027±0.0004</td><td>OUR AVERAGE</td><td>Error includes scale factor of 1.1.</td><td></td><td></td></tr><tr><td>0.00257±0.00034±0.00024</td><td></td><td></td><td>03G</td><td>FOCS γ A, $\bar{E}_γ$ ≈ 180 GeV</td></tr><tr><td>0.0054±0.0016</td><td>±0.0008</td><td>18</td><td>AITALA</td><td>01D</td><td>E791 π<sup>-</sup> A, 500 GeV</td></tr><tr><td>0.0028±0.0007</td><td>±0.0001</td><td>20</td><td>FRABETTI</td><td>95C</td><td>E687 γ Be, $\bar{E}_γ$ ≈ 200 GeV</td></tr></tbody></table>

$$ \Gamma(K^+K^-\bar{K}^*(892)^0, \bar{K}^*0 \to K^-\pi^+)/\Gamma(K^+2K^-\pi^+) \qquad \Gamma_{136}/\Gamma_{135} $$

<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±0.07±0.02</td><td></td><td></td><td>03G</td><td>FOCS γ A, $\bar{E}_γ$ ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(K^-\pi^+\phi, \phi \to K^+K^-)/\Gamma(K^+2K^-\pi^+) \qquad \Gamma_{137}/\Gamma_{135} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.18±0.06±0.04</td><td></td><td></td><td>03G</td><td>FOCS γ A, $\bar{E}_γ$ ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\phi\bar{K}^*(892)^0, \phi \to K^+K^-, \bar{K}^*0 \to K^-\pi^+)/\Gamma(K^+2K^-\pi^+) \qquad \Gamma_{138}/\Gamma_{135} $$

<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±0.06±0.01</td><td></td><td></td><td>03G</td><td>FOCS γ A, $\bar{E}_γ$ ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(K^+2K^-\pi^+\pi^-)/\Gamma(K^+2K^-\pi^+) \qquad \Gamma_{139}/\Gamma_{135} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.15±0.06±0.02</td><td></td><td></td><td>03G</td><td>FOCS γ A, $\bar{E}_γ$ ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(2K_5^0K^+\pi^-)/\Gamma(K_5^0\pi^+\pi^-) \qquad \Gamma_{140}/\Gamma_{44} $$

<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>2.12±0.38±0.20</td><td>57±10</td><td>LINK</td><td>05A</td><td>FOCS γ Be, $\bar{E}_γ$ ≈ 180 GeV</td></tr></tbody></table>

Pionic modes

$$ \Gamma(\pi^+\pi^-)/\Gamma_{\text{total}} \qquad \Gamma_{141}/\Gamma $$

<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>1.454±0.024</td><td>OUR FIT</td><td>Error includes scale factor of 1.4.</td><td></td><td></td></tr><tr><td>1.508±0.018±0.022</td><td></td><td></td><td>21k</td><td>ABLIKIM</td><td>18W</td><td>BES3 e<sup>+</sup>e<sup>-</sup>, 3773 MeV</td></tr></tbody></table>

$$ \Gamma(\pi^+\pi^-)/\Gamma(K^-\pi^+) \qquad \Gamma_{141}/\Gamma_{38} $$

<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>3.68±0.06</td><td>OUR FIT</td><td>Error includes scale factor of 1.3.</td><td></td><td></td></tr><tr><td>3.59±0.06</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>3.594±0.054±0.040</td><td>7334±97</td><td>ACOSTA</td><td>05C</td><td>CDF p<sub>B</sub>, $\sqrt{s}$ = 1.96 TeV</td></tr><tr><td>3.53±0.12±0.06</td><td>3453</td><td>LINK</td><td>03</td><td>FOCS γ A, $\bar{E}_γ$ ≈ 180 GeV</td></tr><tr><td>3.51±0.16±0.17</td><td>710</td><td>CSORNA</td><td>02</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> ≈ T(45)</td></tr><tr><td>4.0±0.2±0.3</td><td>2043</td><td>AITALA</td><td>98C</td><td>E791 π<sup>-</sup> A, 500 GeV</td></tr></tbody></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>3.62±0.10±0.08</td><td>2085±54</td><td>RUBIN</td><td>06</td><td>CLEO See MENDEZ 10</td></tr><tr><td>3.4±0.7±0.1</td><td>76±15</td><td>ABLIKIM</td><td>05F</td><td>BES e<sup>+</sup>e<sup>-</sup> ≈ ψ(3770)</td></tr><tr><td>4.3±0.7±0.3</td><td>177</td><td>FRABETTI</td><td>94C</td><td>E687 γ Be, $\bar{E}_γ$ = 220 GeV</td></tr><tr><td>3.48±0.30±0.23</td><td>227</td><td>SELEN</td><td>93</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> ≈ T(45)</td></tr><tr><td>5.5±0.8±0.5</td><td>120</td><td>ANJOS</td><td>91D</td><td>E691 Photoproduction</td></tr><tr><td>5.0±0.7±0.5</td><td>110</td><td>ALEXANDER</td><td>90</td><td>CLEO e<sup>+</sup>e<sup>-</sup> 10.5-11 GeV</td></tr></tbody></table>

$$ \Gamma(\pi^+\pi^-)/[\Gamma(K^-\pi^+) + \Gamma(K^+\pi^-)] \qquad \Gamma_{141}/[\Gamma_{38} + \Gamma_{289}] $$

<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>3.67±0.06</td><td>OUR FIT</td><td>Error includes scale factor of 1.3.</td><td></td><td></td></tr><tr><td>3.70±0.06±0.09</td><td></td><td></td><td>6210±93</td><td>MENDEZ</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 3774 MeV</td></tr></tbody></table>

$$ \Gamma(2\pi^0)/\Gamma_{\text{total}} \qquad \Gamma_{142}/\Gamma $$

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

8.26±0.25 OUR FIT

8.29±0.30 OUR AVERAGE

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>8.24±0.21±0.30</td><td>6k</td><td>ABLIKIM</td><td>15F</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 3.773GeV</td></tr><tr><td>8.4±0.1±0.5</td><td>26k</td><td>LEES</td><td>12L</td><td>BABR e<sup>+</sup>e<sup>-</sup> ≈ 10.58 GeV</td></tr></tbody></table>
$$ \Gamma(2\pi^0)/\Gamma(K^-\pi^+) \qquad \Gamma_{142}/\Gamma_{38} $$

<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>• • •</td><td></td><td></td><td></td><td></td></tr><tr><td>2.05 ± 0.13 ± 0.16</td><td>499 ± 32</td><td>RUBIN</td><td>06</td><td>CLEO See MENDEZ 10</td></tr><tr><td>2.2 ± 0.4 ± 0.4</td><td>40</td><td>SELEN</td><td>93</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> → T(45)</td></tr></tbody></table>

$$ \Gamma(2\pi^0)/[\Gamma(K^-\pi^+) + \Gamma(K^+\pi^-)] \qquad \Gamma_{142}/(\Gamma_{38} + \Gamma_{289}) $$

<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><strong>2.08 ± 0.07</strong> OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>2.06 ± 0.07 ± 0.10</td><td>1567 ± 54</td><td>MENDEZ</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 3774 MeV</td></tr></tbody></table>

$$ \Gamma(\pi^+\pi^-\pi^0)/\Gamma(K^-\pi^+) \qquad \Gamma_{143}/\Gamma_{38} $$

<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>37.7 ± 1.7 OUR FIT</td><td>Error Includes scale factor of 2.4.</td><td></td><td></td><td></td></tr><tr><td>34.4 ± 0.5 ± 1.2</td><td>11k ± 164</td><td>RUBIN</td><td>06</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

$$ \Gamma(\pi^+\pi^-\pi^0)/\Gamma(K^-\pi^+\pi^0) \qquad \Gamma_{143}/\Gamma_{59} $$

<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><strong>10.32 ± 0.25</strong> OUR FIT</td><td></td><td></td><td></td><td>Error includes scale factor of 2.3.</td></tr><tr><td><strong>10.41 ± 0.23</strong> OUR AVERAGE</td><td></td><td></td><td></td><td>Error includes scale factor of 2.0.</td></tr><tr><td>10.12 ± 0.04 ± 0.18</td><td>123k ± 490</td><td>ARINSTEIN</td><td>08</td><td>BELL e<sup>+</sup>e<sup>-</sup> ≈ T(45)</td></tr><tr><td>10.59 ± 0.06 ± 0.13</td><td>60k ± 343</td><td>AUBERT, B</td><td>06x</td><td>BABR e<sup>+</sup>e<sup>-</sup> ≈ T(45)</td></tr></tbody></table>

$$ \Gamma(\pi^+\pi^-\pi^0)/\Gamma_{\text{total}} \qquad \Gamma_{143}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>134.3 ± 1.3 ± 1.6</td><td>12.8k</td><td>ABLIKIM</td><td>22BG BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

$$ \Gamma(\rho^+\pi^-)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{144}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot analysis, with interference. See GASPERO 08 and BHATTACHARYA 10A for isospin decompositions of the $D^0 \to \pi^+\pi^0\pi^-\pi^0$ Dalitz plot, both based on the amplitudes of AUBERT 07BJ. They quantify the conclusion that the final state is dominantly isospin 0.

<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><strong>68.1 ± 0.6</strong> OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>67.8 ± 0.0 ± 0.6</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr><tr><td>76.3 ± 1.9 ± 2.5</td><td>CRONIN-HEN..05</td><td>CLEO e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

$$ \Gamma(\rho^0\pi^0)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{145}/\Gamma_{143} $$

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

<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><strong>25.9 ± 1.1</strong> OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>26.2 ± 0.5 ± 1.1</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr><tr><td>24.4 ± 2.0 ± 2.1</td><td>CRONIN-HEN..05</td><td>CLEO e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

$$ \Gamma(\rho^-\pi^+)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{146}/\Gamma_{143} $$

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

<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><strong>34.6 ± 0.8</strong> OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>34.6 ± 0.8 ± 0.3</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr><tr><td>34.5 ± 2.4 ± 1.3</td><td>CRONIN-HEN..05</td><td>CLEO e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr></tbody></table>

$$ \Gamma(\rho(1450)^+\pi^-, \rho^+ \to \pi^+\pi^0)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{147}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>0.11 ± 0.07 ± 0.12</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(\rho(1450)^0\pi^0, \rho^0 \to \pi^+\pi^-)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{148}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>0.30 ± 0.11 ± 0.07</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(\rho(1450)^-\pi^+, \rho^- \to \pi^-\pi^0)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{149}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>1.79 ± 0.22 ± 0.12</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(\rho(1700)^+\pi^-, \rho^+ \to \pi^+\pi^0)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{150}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>4.1 ± 0.7 ± 0.7</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(\rho(1700)^0\pi^0, \rho^0 \to \pi^+\pi^-)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{151}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>5.0 ± 0.6 ± 1.0</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(\rho(1700)^-\pi^+, \rho^- \to \pi^-\pi^0)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{152}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>3.2 ± 0.4 ± 0.6</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(f_0(980)\pi^0, f_0 \to \pi^+\pi^-)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{153}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>0.25 ± 0.04 ± 0.04</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(f_0(500)\pi^0, f_0 \to \pi^+\pi^-)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{154}/\Gamma_{143} $$

The $f_0(500)$ is the $\sigma$. This is the “fit fraction” from the Dalitz-plot 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>0.82 ± 0.10 ± 0.10</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(f_0(1370)\pi^0, f_0 \to \pi^+\pi^-)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{155}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>0.37 ± 0.11 ± 0.09</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(f_0(1500)\pi^0, f_0 \to \pi^+\pi^-)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{156}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>0.39 ± 0.08 ± 0.07</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(f_0(1710)\pi^0, f_0 \to \pi^+\pi^-)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{157}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>0.31 ± 0.07 ± 0.08</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(f_0(1270)\pi^0, f_0 \to \pi^+\pi^-)/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{158}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>1.32 ± 0.08 ± 0.10</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(\pi^+\pi^-\pi^0\text{nonresant})/\Gamma(\pi^+\pi^-\pi^0) \qquad \Gamma_{159}/\Gamma_{143} $$

This is the “fit fraction” from the Dalitz-plot 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>0.84 ± 0.21 ± 0.12</td><td>AUBERT</td><td>07BJ</td><td>BABR Dalitz fit, 45k events</td></tr></tbody></table>

$$ \Gamma(3\pi^0)/\Gamma_{\text{total}} \qquad \Gamma_{160}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.0 ± 0.4 ± 0.3</td><td>60</td><td>1</td><td>ABLIKIM</td><td>18x</td><td>BES3 e<sup>+</sup>e<sup>-</sup>, 3773 MeV</td></tr></tbody></table>

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

<table><tbody><tr><td>&lt;3.5</td><td>90</td><td>RUBIN</td><td>06</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

¹Significance of signal reported by ABLIKIM 18x is 4.8σ.

$$ \Gamma(4\pi^0)/\Gamma_{\text{total}} \qquad \Gamma_{189}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>7.6 ± 0.9 ± 0.7</td><td>96</td><td>ABLIKIM</td><td>22BG BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

$$ \Gamma(2\pi^+2\pi^-)/\Gamma(K^-\pi^+) \qquad \Gamma_{161}/\Gamma_{38} $$

<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><strong>19.1 ± 0.5</strong> OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>19.1 ± 0.4 ± 0.6</td><td>7331 ± 130</td><td>RUBIN</td><td>06</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

$$ \Gamma(2\pi^+2\pi^-)/\Gamma(K^-2\pi^+\pi^-) \qquad \Gamma_{161}/\Gamma_{78} $$

<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><strong>9.19 ± 0.22</strong> OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td><strong>9.20 ± 0.26</strong> OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>9.14 ± 0.18 ± 0.22</td><td>6360 ± 115</td><td>LINK</td><td>07A</td><td>FOCS γBe, E<sub>γ</sub> ≈ 180 GeV</td></tr><tr><td>7.9 ± 1.8 ± 0.5</td><td>162</td><td>ABLIKIM</td><td>05F</td><td>BES e<sup>+</sup>e<sup>-</sup> ≈ ψ(3770)</td></tr><tr><td>9.5 ± 0.7 ± 0.2</td><td>814</td><td>FRABETTI</td><td>95C</td><td>E687 γBe, E<sub>γ</sub> ≈ 200 GeV</td></tr><tr><td>10.2 ± 1.3</td><td>345</td><td>AMMAR</td><td>91</td><td>CLEO e<sup>+</sup>e<sup>-</sup> ≈ 10.5 GeV</td></tr></tbody></table>

$$ \Gamma(a_1(1260)^+\pi^-, a_1^+ \to 2\pi^+\pi^-\text{total})/\Gamma(2\pi^+2\pi^-) \qquad \Gamma_{162}/\Gamma_{161} $$

This is the fit fraction from the coherent 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>60.0 ± 3.0 ± 2.4</td><td>LINK</td><td>07A</td><td>FOCS 4-body fit, ≈ 5.7k evts</td></tr></tbody></table>

$$ \Gamma(a_1(1260)^+\pi^-, a_1^+ \to \rho^0\pi^+\text{S-wave})/\Gamma(2\pi^+2\pi^-) \qquad \Gamma_{163}/\Gamma_{161} $$

This is the fit fraction from the coherent 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><strong>41.5 ± 2.5</strong> OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>38.1 ± 2.3 ± 3.6</td><td>1</td><td>DARGENT</td><td>17</td><td>4-body fit, 7.3k 4π evts</td></tr><tr><td>43.3 ± 2.5 ± 1.9</td><td>1</td><td>LINK</td><td>07A</td><td>FOCS 4-body fit, ≈ 5.7k evts</td></tr></tbody></table>

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

$$ \Gamma(a_1(1260)^+\pi^-, a_1^+ \to \rho^0\pi^+\text{D-wave})/\Gamma(2\pi^+2\pi^-) \qquad \Gamma_{164}/\Gamma_{161} $$

<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>2.5 ± 0.5 ± 0.4</td><td>1</td><td>LINK</td><td>07A</td><td>FOCS 4-body fit, ≈ 5.7k evts</td></tr></tbody></table>

¹DARGENT 17 using 7.3k events find this contribution negligible.

$$ \Gamma(a_1(1260)^+\pi^-, a_1^+ \to \sigma\pi^+)/\Gamma(2\pi^+2\pi^-) \qquad \Gamma_{165}/\Gamma_{161} $$

<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>8.4 ± 0.9 OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>10.2 ± 1.4 ± 3.3</td><td>1</td><td>DARGENT</td><td>17</td><td>7.3k 4-body fit, 4π evts</td></tr><tr><td>8.3 ± 0.7 ± 0.6</td><td>1</td><td>LINK</td><td>07A</td><td>FOCS 4-body fit, ≈ 5.7k evts</td></tr></tbody></table>

¹Obtained by analyzing CLEO-c data but not authored by the CLEO Collaboration.
# Meson Particle Listings

D⁰

$$ \Gamma(a_1(1260)^- \pi^+, a_1^- \to \rho^0 \pi^- S-wave) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{166}/\Gamma_{161} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.1&plusmn;0.6&plusmn;1.0</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

$$ \Gamma(a_1(1260)^- \pi^+, a_1^- \to \sigma^+ \pi^-) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{167}/\Gamma_{161} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.8&plusmn;0.2&plusmn;0.4</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

$$ \Gamma(\pi(1300)^+ \pi^-, \pi(1300)^+ \to \sigma\pi^+) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{168}/\Gamma_{161} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>6.8&plusmn;0.9&plusmn;3.4</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

$$ \Gamma(\pi(1300)^- \pi^+, \pi(1300)^- \to \sigma^- \pi^-) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{169}/\Gamma_{161} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.0&plusmn;0.6&plusmn;2.8</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

$$ \Gamma(a_1(1640)^+ \pi^-, a_1^+ \to \rho^0 \pi^- D-wave) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{170}/\Gamma_{171} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>4.2&plusmn;0.6&plusmn;2.0</td><td>7.3k</td><td>1,2 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

² 4-body fit, 4&pi; evts

$$ \Gamma(a_1(1640)^+ \pi^-, a_1^+ \to \sigma^+ \pi^+) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{171}/\Gamma_{171} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.4&plusmn;0.7&plusmn;1.7</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

$$ \Gamma(\pi_2(1670)^+ \pi^-, \pi_2^+ \to f_2(1270)^0 \pi^+, f_2^0 \to \pi^+ \pi^-) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{172}/\Gamma_{171} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.7&plusmn;0.6&plusmn;1.1</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

$$ \Gamma(\pi_2(1670)^+ \pi^-, \pi_2^+ \to \sigma^+ \pi^+) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{173}/\Gamma_{171} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.5&plusmn;0.6&plusmn;1.2</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

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

$$ \Gamma_{174}/\Gamma_{171} $$

This is the fit fraction from the coherent 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>24.5&plusmn;1.3&plusmn;1.0</td><td>LINK</td><td>07A</td><td>4-body fit, &asymp; 5.7k evts</td></tr></tbody></table>

$$ \Gamma(2\rho^0, \text{parallel helicities}) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{175}/\Gamma_{171} $$

This is the fit fraction from the coherent 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>1.1&plusmn;0.3&plusmn;0.3</td><td>LINK</td><td>07A</td><td>4-body fit, &asymp; 5.7k evts</td></tr></tbody></table>

$$ \Gamma(2\rho^0, \text{perpendicular helicities}) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{176}/\Gamma_{171} $$

This is the fit fraction from the coherent 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>6.4&plusmn;0.6&plusmn;0.5</td><td>LINK</td><td>07A</td><td>4-body fit, &asymp; 5.7k evts</td></tr></tbody></table>

$$ \Gamma(2\rho^0, \text{longitudinal helicities}) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{177}/\Gamma_{171} $$

This is the fit fraction from the coherent 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>16.8&plusmn;1.0&plusmn;0.8</td><td>LINK</td><td>07A</td><td>4-body fit, &asymp; 5.7k evts</td></tr></tbody></table>

$$ \Gamma(2\rho(770)^0, S-wave) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{178}/\Gamma_{171} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.4&plusmn;0.7&plusmn;1.5</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

$$ \Gamma(2\rho(770)^0, P-wave) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{179}/\Gamma_{171} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>7.0&plusmn;0.5&plusmn;1.6</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

$$ \Gamma(2\rho(770)^0, D-wave) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{180}/\Gamma_{161} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>8.2&plusmn;1.0&plusmn;3.9</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

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

$$ \Gamma_{181}/\Gamma_{161} $$

This is the fit fraction from the coherent amplitude analysis.

<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>20.0&plusmn;1.2&plusmn;1.0</td><td>LINK</td><td>07A</td><td>FOCS</td><td>4-body fit, &asymp; 5.7k evts</td></tr></tbody></table>

$$ \Gamma(\sigma\pi^+ \pi^-) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{182}/\Gamma_{161} $$

This is the fit fraction from the coherent amplitude analysis.

<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>8.2&plusmn;0.9&plusmn;0.7</td><td>LINK</td><td>07A</td><td>FOCS</td><td>4-body fit, &asymp; 5.7k evts</td></tr></tbody></table>

$$ \Gamma(\sigma\rho(770)^0) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{183}/\Gamma_{161} $$

This is the fit fraction from a coherent amplitude analysis.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>6.6&plusmn;1.0&plusmn;3.2</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

$$ \Gamma(f_0(1370)\sigma, f_0 \to \pi^+ \pi^-) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{187}/\Gamma_{161} $$

This is the fit fraction from a coherent amplitude analysis.

<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>21.2&plusmn;1.8&plusmn;6.7</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

$$ \Gamma(f_0(980)\pi^+ \pi^-, f_0 \to \pi^+ \pi^-) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{184}/\Gamma_{161} $$

This is the fit fraction from the coherent amplitude analysis.

<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>2.4&plusmn;0.5&plusmn;0.4</td><td>LINK</td><td>07A</td><td>FOCS</td><td>4-body fit, &asymp; 5.7k evts</td></tr></tbody></table>

$$ \Gamma(f_2(1270)\pi^+ \pi^-, f_2 \to \pi^+ \pi^-) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{185}/\Gamma_{161} $$

This is the fit fraction from the coherent amplitude analysis.

<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>4.9&plusmn;0.6&plusmn;0.5</td><td>LINK</td><td>07A</td><td>FOCS</td><td>4-body fit, &asymp; 5.7k evts</td></tr></tbody></table>

$$ \Gamma(2f_2(1270), f_2 \to \pi^+ \pi^-) / \Gamma(2\pi^+ 2\pi^-) $$

$$ \Gamma_{186}/\Gamma_{161} $$

This is the fit fraction from a coherent amplitude analysis.

<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>2.1&plusmn;0.5&plusmn;2.3</td><td>7.3k</td><td>1 DARGENT</td><td>17 4-body fit, 4&pi; evts</td></tr></tbody></table>

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

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

$$ \Gamma_{188}/\Gamma_{161} $$

<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>10.02&plusmn;0.19&plusmn;0.24</td><td>3.8k</td><td>ABLIKIM</td><td>22BG</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

$$ \Gamma(\pi^+ \pi^- 2\pi^0) / \Gamma(K^- \pi^+) $$

$$ \Gamma_{188}/\Gamma_{161} $$

<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>25.8&plusmn;1.5&plusmn;1.8</td><td>2724 &asymp; 166</td><td>RUBIN</td><td>06</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at &psi;(3770)</td></tr></tbody></table>

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

$$ \Gamma_{190}/\Gamma_{161} $$

Unseen decay modes of the η are included.

<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>6.3&plusmn;0.6 OUR FIT</td><td>Error Includes scale factor of 1.1.</td><td></td><td></td><td></td></tr><tr><td>5.8&plusmn;0.5&plusmn;0.5</td><td>1.7k ABLIKIM</td><td>18L</td><td>BES3 e<sup>+</sup>e<sup>-</sup>, 3773 MeV</td><td></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc.</td></tr><tr><td>6.5&plusmn;0.9&plusmn;0.4</td><td>75 ABLIKIM</td><td>16D</td><td>BES3</td><td>See ABLIKIM 18L</td></tr><tr><td>6.4&plusmn;1.0&plusmn;0.4</td><td>156 &asymp; 24 ARTUSO</td><td>08</td><td>CLEO</td><td>See MENDEZ 10</td></tr></tbody></table>

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

$$ \Gamma_{190}/\Gamma_{161} $$

Unseen decay modes of the η are included.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc.</td></tr><tr><td>1.47&plusmn;0.34&plusmn;0.11</td><td>62 &asymp; 14 RUBIN</td><td>06</td><td>CLEO</td><td>See ARTUSO 08</td></tr></tbody></table>

$$ \Gamma(\eta\pi^0) / [\Gamma(K^- \pi^+) + \Gamma(K^+ \pi^-)] $$

$$ \Gamma_{190}/[\Gamma_{38} + \Gamma_{289}] $$

Unseen decay modes of the η are included.

<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>1.60&plusmn;0.14 OUR FIT</td><td>Error Includes scale factor of 1.1.</td><td></td><td></td><td></td></tr><tr><td>1.74&plusmn;0.15&plusmn;0.11</td><td>481 &asymp; 40 MENDEZ</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 3774 MeV</td><td></td></tr></tbody></table>

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

$$ \Gamma_{191}/\Gamma_{161} $$

Unseen decay modes of the ω are included.

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.17&plusmn;0.34&plusmn;0.07</td><td>45 ABLIKIM</td><td>16D</td><td>BES3 e<sup>+</sup>e<sup>-</sup>, 3773 MeV</td><td></td></tr></tbody></table>

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

$$ \Gamma_{193}/\Gamma_{161} $$

<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>34.6&plusmn;1.5&plusmn;1.5</td><td>940 ABLIKIM</td><td>22BG</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td><td></td></tr></tbody></table>