$$A_{CP}(K^{*}(1410)^{-}K^{+} \rightarrow \bar{K}^{*0}\pi^{-}K^{+}) \text{ in } D^{0} \rightarrow K^{*}(1410)^{-}K^{+}, \bar{D}^{0} \rightarrow \text{c.c.}$$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-1.1±13.7</td><td>ARTUSO</td><td>12</td><td>CLEO<br>Amplitude fit, 2959 evts.</td></tr></tbody></table>

$$A_{CP}(K^{*}(1680)^{+}K^{-} \rightarrow K^{+}K^{-}\pi^{+}\pi^{-}) \text{ in } D^{0} \rightarrow K^{*}(1680)^{+}K^{-}, \bar{D}^{0} \rightarrow \text{c.c.}$$

Including the full $K^{*}(1680)^{+}$ phase space accessible in this decay chain, with its various resonance contributions.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-17.1±21.8±18.5</td><td>2.9k</td><td>1 DARGENT</td><td>17</td><td>4-body fit, K Kππ evts</td></tr></tbody></table>

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

$$A_{CP}(K^{*0}\bar{K}^{*0}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{*0}\bar{K}^{*0}$$

Including S, P, D wave

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-4.6±9.0±11.3</td><td>2.9k</td><td>1 DARGENT</td><td>17</td><td>4-body fit, K Kππ evts</td></tr></tbody></table>

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

$$A_{CP}(K^{*0}\bar{K}^{*0} \text{ S-wave}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{*0}\bar{K}^{*0} \text{ S-wave}$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-3.9±2.2 \text{ OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>-4.3±2.2±0.5</td><td>163k</td><td>AAIJ</td><td>19c</td><td>LHCB<br>4-body fit, K Kππ evts</td></tr><tr><td>+9.5±13.5</td><td>3k</td><td>ARTUSO</td><td>12</td><td>CLEO<br>4-body fit, K Kππ evts</td></tr></tbody></table>

$$A_{CP}(\phi\rho^{0}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow \phi\rho^{0}$$

Including S, P, D wave

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.5±4.6±8.0</td><td>2.9k</td><td>1 DARGENT</td><td>17</td><td>4-body fit, K Kππ evts</td></tr></tbody></table>

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

$$A_{CP}(\phi\rho^{0} \text{ S-wave}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow \phi\rho^{0} \text{ S-wave}$$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-2.7±5.3</td><td>ARTUSO</td><td>12</td><td>CLEO<br>Amplitude fit, 2959 evts.</td></tr></tbody></table>

$$A_{CP}(\phi\rho^{0} \text{ D-wave}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow \phi\rho^{0} \text{ D-wave}$$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-37.1±19.0</td><td>ARTUSO</td><td>12</td><td>CLEO<br>Amplitude fit, 2959 evts.</td></tr></tbody></table>

$$A_{CP}(\phi(\pi^{+}\pi^{-})_{S-wave}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow \phi(\pi^{+}\pi^{-})_{S-wave}$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>6 ± 6 \text{ OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>5.8±6.1±0.8</td><td>163k</td><td>AAIJ</td><td>19c</td><td>LHCB<br>4-body fit, K Kππ evts</td></tr><tr><td>-4.0±18.0±44.6</td><td>3k</td><td>1 DARGENT</td><td>17</td><td>4-body fit, K Kππ evts</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>-8.6±10.4</td><td>3k</td><td>2 ARTUSO</td><td>12</td><td>CLEO<br>4-body fit, K Kππ evts</td></tr></tbody></table>

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

²see DARGENT 17

$$A_{CP}(K^{*}(892)^{0}(K^{-}\pi^{+})_{S-wave}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{*}(892)^{0}(K^{-}\pi^{+})_{S-wave}$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-13.1±17.9±31.2</td><td>2.9k</td><td>1 DARGENT</td><td>17</td><td>4-body fit, K Kππ evts</td></tr></tbody></table>

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

$$A_{CP}(K^{+}K^{-}\pi^{+}\pi^{-} \text{ non-resonant}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{+}K^{-}\pi^{+}\pi^{-} \text{ non-resonant}$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+8.2±10.9±17.1</td><td>1 DARGENT</td><td>17</td><td>4-body fit, 2.9k K Kππ evts</td></tr></tbody></table>

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

$$A_{CP}((K^{-}\pi^{+})_{P-wave} (K^{+}\pi^{-})_{S-wave}) \text{ in } D^{0} \rightarrow (K^{-}\pi^{+})_{P-wave} (K^{+}\pi^{-})_{S-wave}, \bar{D}^{0} \rightarrow \text{c.c.}$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+2.7±10.6</td><td>ARTUSO</td><td>12</td><td>CLEO<br>Amplitude fit, 2959 evts.</td></tr></tbody></table>

$$A_{CP}(K^{+}K^{-}\mu^{+}\mu^{-}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{+}K^{-}\mu^{+}\mu^{-}$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-2.3±6.3±0.6</td><td>318</td><td>1 AAIJ</td><td>22l</td><td>LHCB<br>pp at 7, 8, 13 TeV</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>0 ±11 ±2</td><td>110</td><td>AAIJ</td><td>18l</td><td>LHCB<br>pp at 7, 8, 13 TeV</td></tr></tbody></table>

¹Supersedes AAIJ 18l. This analysis provides the first complete angular analysis of $D^{0} \rightarrow K^{+}K^{-}\mu^{+}\mu^{-}$, and measures angular moments for several bins in the dimuon invariant mass. The mass of the hadron system is required to be less than 1200 MeV.

$$A_{CP}(\pi^{+}\pi^{-}\mu^{+}\mu^{-}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow \pi^{+}\pi^{-}\mu^{+}\mu^{-}$$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.9±2.1±0.4</td><td>3.6k</td><td>1 AAIJ</td><td>22l</td><td>LHCB<br>pp at 7, 8, 13 TeV</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>4.9±3.8±0.7</td><td>1.1k</td><td>AAIJ</td><td>18l</td><td>LHCB<br>pp at 7, 8, 13 TeV</td></tr></tbody></table>

¹Supersedes AAIJ 18l. This analysis provides the first complete angular analysis of $D^{0} \rightarrow \pi^{+}\pi^{-}\mu^{+}\mu^{-}$, and measures angular moments for several bins in the dimuon invariant mass. The mass of the hadron system is required to be less than 1200 MeV.

## D⁰ CP-VIOLATING ASYMMETRY DIFFERENCES

$$\Delta A_{CP} = A_{CP}(K^{+}K^{-}) - A_{CP}(\pi^{+}\pi^{-})$$

CP violation in these modes can come from the decay amplitudes (direct) and/or from mixing or interference of mixing and decay (indirect). The difference $\Delta A_{CP}$ is primarily sensitive to the direct component, and only retains a second-order dependence on the indirect component for measurements where the mean decay time of the $K^{+}K^{-}$ and $\pi^{+}\pi^{-}$ samples are not identical. The results below are averaged assuming the indirect component can be neglected.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.154±0.029</td><td>53M,17M</td><td>AAIJ</td><td>19D</td><td>LHCB<br>Time-integrated</td></tr><tr><td>• • •</td><td></td><td></td><td></td><td></td></tr><tr><td>-0.10±0.08±0.03</td><td>6.5M,2.2M</td><td>AAIJ</td><td>16D</td><td>LHCB<br>See AAIJ 19D</td></tr><tr><td>0.14±0.16±0.08</td><td>2.2M,0.8M</td><td>AAIJ</td><td>14AK</td><td>LHCB<br>See AAIJ 19D</td></tr><tr><td>0.49±0.30±0.14</td><td>0.56M,0.22M</td><td>AAIJ</td><td>13AD</td><td>LHCB<br>See AAIJ 14AK</td></tr><tr><td>-0.82±0.21±0.11</td><td>1.4M,0.4M</td><td>AAIJ</td><td>12G</td><td>LHCB<br>See AAIJ 16D</td></tr><tr><td>-0.46±0.31±0.12</td><td></td><td>AALTONEN</td><td>12B</td><td>CDF<br>See AALTONEN 120</td></tr><tr><td>-0.62±0.21±0.10</td><td></td><td>AALTONEN</td><td>12D</td><td>CDF<br>Time-integrated</td></tr><tr><td>0.24±0.62±0.26</td><td></td><td>¹ AUBERT</td><td>08M</td><td>BABR<br>Time-integrated</td></tr><tr><td>-0.86±0.60±0.07</td><td>120k</td><td>STARIC</td><td>08</td><td>BELL<br>Time-integrated</td></tr></tbody></table>

¹Calculated from the AUBERT 08M values of $A_{CP}(K^{+}K^{-})$ and $A_{CP}(\pi^{+}\pi^{-})$. The systematic error here combines the systematic errors in quadrature, and therefore somewhat over-estimates it.

## D⁰ TESTS OF LOCAL CP-VIOLATION (CPV)

We list model-independent searches for local CP violation in phase-space distributions of multi-body decays.

Most of these searches divide phase space (Dalitz plot for 3-body decays, five-dimensional equivalent for 4-body decays) into bins, and perform a $\chi^2$ test comparing normalised yields $N_j, \bar{N}_j$ in CP-conjugate bin pairs $i$: $\chi^2 = \sum_j(\frac{N_j - \alpha \bar{N}_j}{\sigma(N_j - \alpha \bar{N}_j)})$. The factor $\alpha = (\sum_j N_j)/(\sum_j \bar{N}_j)$ removes the dependence on phase-space-integrated rate asymmetries. The result is used to obtain the probability (p-value) to obtain the measured $\chi^2$ or larger under the assumption of CP conservation [AUBERT 08AO, BEDIAGA 09]. Alternative methods obtain p-values from other test variables based on unbinned analyses [WILLIAMS 11, AAIJ 14c]. Results can be combined using Fisher's method [MOSTELLER 48].

$$\text{Local CPV in } D^{0}, \bar{D}^{0} \rightarrow \pi^{+}\pi^{-}\pi^{0}$$

<table><thead><tr><th>p-value (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>10.6 OUR EVALUATION</strong></td></tr><tr><td>62</td><td>2.5M</td><td>AAIJ</td><td>23AW</td><td>LHCB<br>unbinned method</td></tr><tr><td>2.6</td><td>566k</td><td>1 AAIJ</td><td>15A</td><td>LHCB<br>unbinned method</td></tr><tr><td>32.8</td><td>82k</td><td>AUBERT</td><td>08AO</td><td>BABR<br>$\chi^2$</td></tr></tbody></table>

¹Unusually, AAIJ 15A assigns an uncertainty on the p value of $\pm 0.5\%$. This results from limited test statistics.

$$\text{Local CPV in } D^{0}, \bar{D}^{0} \rightarrow \pi^{+}\pi^{-}\pi^{+}\pi^{-}$$

<table><thead><tr><th>p-value (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.6±0.2</td><td>1.0M</td><td>1 AAIJ</td><td>17AE</td><td>LHCB<br>unbinned, P-odd</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>4.6±0.5</td><td>1.0M</td><td>2,3 AAIJ</td><td>17AE</td><td>LHCB<br>unbinned, P-even</td></tr><tr><td>41</td><td>330k</td><td>2,4 AAIJ</td><td>13BR</td><td>LHCB<br>$\chi^2$, P-even</td></tr></tbody></table>

¹This AAIJ 17AE value tests CP Violation in P-odd variables.

²This value tests CP Violation in P-even variables.

³Not included in average as correlation to P-odd measurement using the same data is unclear.

⁴See AAIJ 17AE.

$$\text{Local CPV in } D^{0}, \bar{D}^{0} \rightarrow K^{0}\bar{S}\pi^{+}\pi^{-}$$

<table><thead><tr><th>p-value (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>96</td><td>350k</td><td>AALTONEN</td><td>12AD</td><td>CDF<br>$\chi^2$</td></tr></tbody></table>

$$\text{Local CPV in } D^{0}, \bar{D}^{0} \rightarrow K^{+}K^{-}\pi^{0}$$

<table><thead><tr><th>p-value (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>16.6</td><td>11k</td><td>AUBERT</td><td>08AO</td><td>BABR<br>$\chi^2$</td></tr></tbody></table>

$$\text{Local CPV in } D^{0}, \bar{D}^{0} \rightarrow K^{+}K^{-}\pi^{+}\pi^{-}$$

<table><thead><tr><th>p-value (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>9.1</td><td>57k</td><td>AAIJ</td><td>13BR</td><td>LHCB<br>$\chi^2$</td></tr></tbody></table>

## CP VIOLATING ASYMMETRIES OF P-ODD (T-ODD) MOMENTS

The CP-sensitive P-odd (T-odd) correlation in $D^{0}, \bar{D}^{0}$ decays. The $D^{0}$ and $\bar{D}^{0}$ are distinguished by the charge of the parent $D^{*}: D^{*+} \rightarrow D^{0}\pi^{+}$ and $D^{*-} \rightarrow \bar{D}^{0}\pi^{-}$.

$$A_{T\text{VLO}}(K^{+}K^{-}\pi^{+}\pi^{-}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{+}K^{-}\pi^{+}\pi^{-}$$

$C_T \equiv \bar{p}_{K^+} \cdot (\bar{p}_{\pi^+} \times \bar{p}_{\pi^-})$ is a parity-odd correlation of the $K^+, \pi^+$, and $\pi^-$ momenta (evaluated in the $D^0$ rest frame) for the $D^0$. $\bar{C}_T \equiv \bar{p}_{K^-} \cdot (\bar{p}_{\pi^-} \times \bar{p}_{\pi^+})$ is the corresponding quantity for the $\bar{D}^0$. Then

$\bar{A}_T \equiv [\Gamma(C_T > 0) - \Gamma(C_T < 0)] / [\Gamma(C_T > 0) + \Gamma(C_T < 0)]$, and

$\bar{A}_T \equiv [\Gamma(-C_T > 0) - \Gamma(-C_T < 0)] / [\Gamma(-C_T > 0) + \Gamma(-C_T < 0)]$, and
$A_{T\text{viol}} \equiv \frac{1}{2}(A_T - \bar{A}_T)$. $C_T$ and $\bar{C}_T$ are commonly referred to as T-odd moments, because they are odd under T reversal. However, the T-conjugate process $K^+ K^- \pi^+ \pi^- \to D^0$ is not accessible, while the CP-conjugate process is.

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>2.9 ± 2.2</strong> OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>5.2 ± 3.7 ± 0.7</td><td>110k</td><td>1 KIM</td><td>19</td><td>BELL e<sup>+</sup>e<sup>-</sup> at T(1S)-T(6S)</td></tr><tr><td>1.8 ± 2.9 ± 0.4</td><td>171k</td><td>AAIJ</td><td>14BC</td><td>LHCB B → D<sup>0</sup>μ<sup>-</sup>X</td></tr><tr><td>1.0 ± 5.1 ± 4.4</td><td>47k</td><td>DEL-AMO-SA...10</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10.6 GeV</td></tr></tbody></table>

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

<table><tr><td>10 ± 57 ± 37</td><td>0.8k</td><td>LINK</td><td>05E</td><td>FOCS γ A, Eγ ≈ 180 GeV</td></tr></table>

¹KIM 19 also study CP-violating asymmetries in several other kinematic variables. No evidence for CP violation is found in any of them.

### $A_{T\text{viol}}(2K_S^0\pi^+\pi^-)$ in $D^0$, $\bar{D}^0 \to 2K_S^0\pi^+\pi^-$

$C_T \equiv \bar{\rho}_{K_S^0} \cdot (\bar{\rho}_{\pi^+} \times \bar{\rho}_{\pi^-})$ is a parity-odd correlation of the $K_S^0$ (with higher momentum), $\pi^+$, and $\pi^-$ momenta (evaluated in the $D^0$ rest frame) for the $D^0$. $\bar{C}_T \equiv \bar{\rho}_{K_S^0} \cdot (\bar{\rho}_{\pi^+} \times \bar{\rho}_{\pi^-})$ is the corresponding quantity for the $\bar{D}^0$. Then

$A_T \equiv [\Gamma(C_{T>0}) - \Gamma(C_{T<0})] / [\Gamma(C_{T>0}) + \Gamma(C_{T<0})]$, and

$\bar{A}_T \equiv [\Gamma(-\bar{C}_T > 0) - \Gamma(-\bar{C}_T < 0)] / [\Gamma(-\bar{C}_T > 0) + \Gamma(-\bar{C}_T < 0)]$, and

$A_{T\text{viol}} \equiv \frac{1}{2}(A_T - \bar{A}_T)$. $C_T$ and $\bar{C}_T$ are commonly referred to as T-odd moments, because they are odd under T reversal. However, the T-conjugate process $K_S^0 K_S^0 \pi^+\pi^- \to D^0$ is not accessible, while the CP-conjugate process is.

<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>-1.95 ± 1.42<sup>+0.14</sup><sub>-0.12</sub></td><td>6095</td><td>SANGAL</td><td>23</td><td>BELL e<sup>+</sup>e<sup>-</sup> at T(4S, 5S), 10.520 GeV</td></tr></tbody></table>

### $A_{T\text{viol}}(K_S^0\pi^+\pi^-\pi^0)$ in $D^0$, $\bar{D}^0 \to K_S^0\pi^+\pi^-\pi^0$

$C_T \equiv \bar{\rho}_{K_S^0} \cdot (\bar{\rho}_{\pi^+} + \bar{\rho}_{\pi^-})$ is a parity-odd correlation evaluated in the $D^0$ rest frame.

$\bar{C}_T$ is defined as the CP-conjugate observable with $\bar{D}^0$ daughter particles. Then

$A_T \equiv [\Gamma(C_{T>0}) - \Gamma(C_{T<0})] / [\Gamma(C_{T>0}) + \Gamma(C_{T<0})]$, and

$\bar{A}_T \equiv [\Gamma(-\bar{C}_T > 0) - \Gamma(-\bar{C}_T < 0)] / [\Gamma(-\bar{C}_T > 0) + \Gamma(-\bar{C}_T < 0)]$, and

$A_{T\text{viol}} \equiv \frac{1}{2}(A_T - \bar{A}_T)$. $C_T$ and $\bar{C}_T$ are commonly referred to as T-odd moments, because they are odd under T reversal. However, the T-conjugate process $K_S^0 \pi^+\pi^-\pi^0 \to D^0$ is not accessible, while the CP-conjugate process is.

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.28 ± 1.38<sup>+0.23</sup><sub>-0.74</sub></td><td>745k</td><td>1 PRASANTH</td><td>17</td><td>BELL e<sup>+</sup>e<sup>-</sup> at T(nS)'s</td></tr></tbody></table>

¹PRASANTH 17 also measures $A_{T\text{viol}}$ in sub-regions of the $D^0 \to K_S^0 \pi^+\pi^-\pi^0$ phase-space. No evidence of T violation is found.

## $D^0$ CPT-VIOLATING DECAY-RATE ASYMMETRIES

### $A_{CPT}(K^\mp\pi^\pm)$ in $D^0 \to K^-\pi^+$, $\bar{D}^0 \to K^+\pi^-$

$A_{CPT}(t)$ is defined in terms of the time-dependent decay probabilities $P(D^0 \to K^-\pi^+)$ and $\bar{P}(\bar{D}^0 \to K^+\pi^-)$ by $A_{CPT}(t) = (\bar{P} - P)/(\bar{P} + P)$. For small mixing parameters $x \equiv \Delta m/\Gamma$ and $y \equiv \Delta\Gamma/2\Gamma$ (as is the case), and times t, $A_{CPT}(t)$ reduces to $[y \text{ Re } \xi \text{ - } x \text{ Im } \xi]$ $\Gamma t$, where $\xi$ is the CPT-violating parameter.

The following is actually $y \text{ Re } \xi \text{ - } x \text{ Im } \xi$.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0083 ± 0.0065 ± 0.0041</td><td>LINK</td><td>03B</td><td>FOCS γ nucleus, Eγ ≈ 180 GeV</td></tr></tbody></table>

### $D^0 \to K^*(892)^-\ell^+\nu_\ell$ FORM FACTORS

#### $r_V \equiv V(0)/A_1(0)$ in $D^0 \to K^*(892)^-\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.46 ± 0.07 OUR AVERAGE</td><td>3k</td><td>ABLIKIM</td><td>19G</td><td>BES3 K*(892)<sup>-</sup> e<sup>+</sup>ν<sub>e</sub></td></tr><tr><td>1.71 ± 0.68 ± 0.34</td><td></td><td>LINK</td><td>05B</td><td>FOCS K*(892)<sup>-</sup> μ<sup>+</sup>ν<sub>μ</sub></td></tr></tbody></table>

#### $r_2 \equiv A_2(0)/A_1(0)$ in $D^0 \to K^*(892)^-\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.68 ± 0.06 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.67 ± 0.06 ± 0.01</td><td>3k</td><td>ABLIKIM</td><td>19G</td><td>BES3 K*(892)<sup>-</sup> e<sup>+</sup>ν<sub>e</sub></td></tr><tr><td>0.91 ± 0.37 ± 0.10</td><td></td><td>LINK</td><td>05B</td><td>FOCS K*(892)<sup>-</sup> μ<sup>+</sup>ν<sub>μ</sub></td></tr></tbody></table>

### $D^0 \to K^-/\pi^-\ell^+\nu_\ell$ FORM FACTORS

#### $f_+(0)$ in $D^0 \to K^-\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.736 ± 0.004 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.7368 ± 0.0026 ± 0.0036</td><td>71k</td><td>ABLIKIM</td><td>15x</td><td>BES3 ℓ=e, 2-parameter fit</td></tr><tr><td>0.727 ± 0.007 ± 0.009</td><td></td><td>AUBERT</td><td>07BG</td><td>BABR ℓ=e, 2-parameter fit</td></tr></tbody></table>

#### $f_+(0)|V_{cd}|$ in $D^0 \to K^-\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.7166 ± 0.0030 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.7133 ± 0.0038 ± 0.0029</td><td>47k</td><td>ABLIKIM</td><td>19b</td><td>BES3 ℓ=μ, 2-parameter fit</td></tr><tr><td>0.7172 ± 0.0025 ± 0.0035</td><td>71k</td><td>15x ABLIKIM</td><td>15x</td><td>BABR ℓ=e, 2-parameter fit</td></tr><tr><td>0.726 ± 0.008 ± 0.004</td><td></td><td>BESSON</td><td>09</td><td>CLEO ℓ=e, 3-parameter fit</td></tr></tbody></table>

¹The 3-parameter fit yields 0.7195 ± 0.0035 ± 0.0041.

#### $r_1 \equiv a_1/a_0$ in $D^0 \to K^-\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-2.40 ± 0.16 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>-2.33 ± 0.16 ± 0.08</td><td>71k</td><td>1 ABLIKIM</td><td>15x</td><td>BES3 ℓ=e, 3-parameter fit</td></tr><tr><td>-2.65 ± 0.34 ± 0.08</td><td></td><td>BESSON</td><td>09</td><td>CLEO ℓ=e, 3-parameter fit</td></tr></tbody></table>

¹The 2-parameter fit yields -2.23 ± 0.09 ± 0.06.

#### $r_2 \equiv a_2/a_0$ in $D^0 \to K^-\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>5 ± 4 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>3.4 ± 3.9 ± 2.4</td><td>71k</td><td>ABLIKIM</td><td>15x</td><td>BES3 ℓ=e, 3-parameter fit</td></tr><tr><td>13 ± 9 ± 1</td><td></td><td>BESSON</td><td>09</td><td>CLEO ℓ=e, 3-parameter fit</td></tr></tbody></table>

#### $f_+(0)$ in $D^0 \to \pi^-\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.6372 ± 0.0080 ± 0.0044</td><td>6.3k</td><td>ABLIKIM</td><td>15x</td><td>BES3 ℓ=e, 2-parameter fit</td></tr></tbody></table>

#### $f_+(0)|V_{cd}|$ in $D^0 \to \pi^-\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.1436 ± 0.0026 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.1435 ± 0.0018 ± 0.0009</td><td>6.3k</td><td>1 ABLIKIM</td><td>15x</td><td>BES3 ℓ=e, 2-parameter fit</td></tr><tr><td>0.1374 ± 0.0038 ± 0.0024</td><td>5.3k</td><td>2 LEES</td><td>15F</td><td>BABR ℓ=e, 3-parameter fit</td></tr><tr><td>0.152 ± 0.005 ± 0.001</td><td></td><td>BESSON</td><td>09</td><td>CLEO ℓ=e, 3-parameter fit</td></tr></tbody></table>

¹The 3-parameter fit yields 0.1420 ± 0.0024 ± 0.0010.

²LEES 15F reports a value 0.1374 ± 0.0038 ± 0.0022 ± 0.0009, where the last uncertainty is due to the uncertainties of the $D^0 \to K^-\pi^+$ branching fraction.

WEIGHTED AVERAGE
0.1436 ± 0.0026 (Error scaled by 1.5)

<figure><img src="image_548.png" /></figure>

#### $r_1 \equiv a_1/a_0$ in $D^0 \to \pi^-\ell^+\nu_\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-1.97 ± 0.28 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>-1.84 ± 0.22 ± 0.07</td><td>6.3k</td><td>1 ABLIKIM</td><td>15x</td><td>BES3 ℓ=e, 3-parameter fit</td></tr><tr><td>-1.31 ± 0.70 ± 0.43</td><td>5.3k</td><td>LEES</td><td>15F</td><td>BABR ℓ=e, 3-parameter fit</td></tr><tr><td>-2.80 ± 0.49 ± 0.04</td><td></td><td>BESSON</td><td>09</td><td>CLEO ℓ=e, 3-parameter fit</td></tr></tbody></table>

¹The 2-parameter fit yields -2.04 ± 0.08 ± 0.03.

WEIGHTED AVERAGE
-1.97 ± 0.28 (Error scaled by 1.4)

<figure><img src="image_549.png" /></figure>

$r_1 \equiv a_1/a_0$ in $D^0 \to \pi^-\ell^+\nu_\ell$
$r_2 \equiv a_1/a_0 \text{ in } D^0 \to \pi^- \ell^+ \nu_\ell$

<table><caption>WEIGHTED AVERAGE
-0.2±2.2 (Error scaled by 1.7)</caption><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" style="text-align: left; font-weight: bold;">-0.2±2.2 OUR AVERAGE</td></tr><tr><td colspan="5" style="text-align: left;">Error includes scale factor of 1.7. See the ideogram below.</td></tr><tr><td>-1.4±1.5±0.5</td><td>6.3k</td><td>ABLIKIM</td><td>15x BES3</td><td>ℓ=e, 3-parameter fit</td></tr><tr><td>-4.2±4.0±1.9</td><td>5.3k</td><td>LEES</td><td>15r BABR</td><td>ℓ=e, 3-parameter fit</td></tr><tr><td>6 ±3 ±0</td><td></td><td>BESSON</td><td>09 CLEO</td><td>ℓ=e, 3-parameter fit</td></tr></tbody></table>

<figure><img src="image_550.png" /></figure>

Amplitude analyses

$D \to K\pi\pi\pi, D \to K\pi\pi\pi$ partial wave analyses

Amplitude analyses of $D^0$ decays to a variety of 4-body kaon or pion final states, fitting simultaneously different partial wave components.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4" style="text-align: left; font-weight: bold;">1 AAIJ</td></tr><tr><td></td><td>19C ABLIKIM</td><td>LHCB</td><td>D<sup>0</sup> → K<sup>+</sup>K<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td></td><td>19AK BES3</td><td>LHCB</td><td>D<sup>0</sup> → K<sup>-</sup>π<sup>+</sup>π<sup>0</sup>π<sup>0</sup></td></tr><tr><td></td><td>18AI LHCB</td><td>LHCB</td><td>D<sup>0</sup> → K<sup>-</sup>π<sup>+</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td></td><td>17O BES3</td><td>LHCB</td><td>D<sup>0</sup> → K<sup>-</sup>π<sup>+</sup>π<sup>+</sup>π<sup>-</sup></td></tr></tbody></table>

¹ AAIJ 19c also provides measurements of CP violation in $D^0 \to K^+K^-\pi^+\pi^-$, with results compatible with CP symmetry.

D⁰ REFERENCES

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Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>18W PR D97 027004</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>18X PL B761 368</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>HARNEW</td><td>18 JHEP 1801 144</td><td>S. Harnew et al.</td><td>(BRIS, PNNL)</td></tr><tr><td>RESMI</td><td>18 JHEP 1801 082</td><td>P.K. Resmi et al.</td><td></td></tr><tr><td>SMITH</td><td>18 PR D98 051101</td><td>M.J. Smith, D. Cinabro, P. Naik</td><td>(LTU, WAYN+)</td></tr><tr><td>AAIJ</td><td>17AE PL B769 345</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>17AK PRL 118 261803</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>17AO PR D95 052004</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>Also</td><td>PR D96 099907 (errat.)</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>17BG PRL 119 181005</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>17M PL B767 177</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABLIKIM</td><td>17A PL B765 231</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>17O PR D95 072010</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>DARGENT</td><td>17 JHEP 1705 143</td><td>P. d'Argent et al.</td><td>(HEID, BRIS)</td></tr><tr><td>DASH</td><td>17 PRL 119 171801</td><td>N. Dash et al.</td><td>(BELLE Collab.)</td></tr><tr><td>LAI</td><td>17 PR D95 011102</td><td>Y.-T. Lai et al.</td><td>(BELLE Collab.)</td></tr><tr><td>NANUT</td><td>17P 118 051801</td><td>T. Nanut et al.</td><td>(BELLE Collab.)</td></tr><tr><td>PRASANTH</td><td>17 PR D95 091101</td><td>K. Prasanth et al.</td><td>(BELLE Collab.)</td></tr><tr><td>AAIJ</td><td>16D PRL 116 191601</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>16F PRL 116 241801</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>16H PL B754 167</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>16I PL B757 558</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>16N PR D97 052018</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>16V JHEP 1604 033</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABLIKIM</td><td>16D PRL 116 082001</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>EVANS</td><td>16 PL B757 520</td><td>T. Evans et al.</td><td>(OXF, BRIS, MDRA)</td></tr><tr><td>LEES</td><td>16B PRL 765 402 (errat.)</td><td>T. Evans et al.</td><td>(OXF, BRIS, MDRA)</td></tr><tr><td>LEES</td><td>16D PR D93 112014</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>NISAR</td><td>16 PR D93 051102</td><td>B.ESEL et al.</td><td>(BABAR Collab.)</td></tr><tr><td>STARIC</td><td>16 PL B753 412</td><td>M. Staric et al.</td><td>(BELLE Collab.)</td></tr><tr><td>AAIJ</td><td>15A PL B740 158</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>15AA JHEP 1504 043</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>15AT JHEP 1510 055</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABLIKIM</td><td>15B PR D89 027002</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>15F PR D91 112015</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>15X PR D92 072012</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>LEES</td><td>15X PR D91 052022</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>MADE</td><td>15 PL B747 9</td><td>S. Malde et al.</td><td>(BRIS, CERN, MDRA, OXF+)</td></tr><tr><td>NAYAK</td><td>15A CMU 1</td><td>M. Nayak et al.</td><td>(MDRA, OXF, CERN)</td></tr><tr><td>AAIJ</td><td>14AK JHEP 1407 041</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>14AL PRL 112 041801</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>14B PRL B728 234</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>14BC JHEP 1410 005</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>14C PL B728 585</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AALTONEN</td><td>14C PL B734 227</td><td>T. Aaltonen et al.</td><td>(CDF Collab.)</td></tr><tr><td>ABLIKIM</td><td>14C PR D89 072002</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>BONVICINI</td><td>14D PR D72 032007</td><td>G. Bonvicini et al.</td><td>(BELLE Collab.)</td></tr><tr><td>KO</td><td>14 PRL 112 111801</td><td>B.R. Ko et al.</td><td>(MDRA, OXF, PNL +)</td></tr><tr><td>LIBBY</td><td>14 PL B731 197</td><td>J. Libby et al.</td><td>(BELLE Collab.)</td></tr><tr><td>NISAR</td><td>14B PR D89 211601</td><td>N.K. Nisar et al.</td><td>(BELLE Collab.)</td></tr><tr><td>PENG</td><td>14 PR D89 091103</td><td>T. Peng et al.</td><td>(BELLE Collab.)</td></tr><tr><td>TOMARADZE</td><td>14 PR D89 031501</td><td>A. Tomaradze et al.</td><td>(NWES, WAYN)</td></tr><tr><td>AAIJ</td><td>13AD PRL B723 33</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>13AI PRL B725 15</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>13BR PL B726 623</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>13CE PRL 251 25801</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>13N PRL 110 101802</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>13V JHEP 1306 065</td><td>T. Aaltonen et al.</td><td>(CDF Collab.)</td></tr><tr><td>AALTONEN</td><td>13AE PRL 111 231802</td><td>R. Aaltonen et al.</td><td>(LHCb Collab.)</td></tr><tr><td>DOBBS</td><td>13 PRL 110 131802</td><td>S. Dobbs et al.</td><td>(CLEO Collab.)</td></tr><tr><td>LEES</td><td>13 PR D87 012004</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>LEES</td><td>13S PRL D88 071104</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>WHITE</td><td>13 PR D88 051101</td><td>E. White et al.</td><td>(BELLE Collab.)</td></tr><tr><td>AAIJ</td><td>12G PRL 108 111602</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>12K JHEP 1204 129</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AALTONEN</td><td>12AD PRL D86 032007</td><td>T. Aaltonen et al.</td><td>(CDF Collab.)</td></tr><tr><td>AALTONEN</td><td>12B PR D85 012009</td><td>T. Aaltonen et al.</td><td>(CDF Collab.)</td></tr><tr><td>AALTONEN</td><td>12O PR D99 111801</td><td>T. Aaltonen et al.</td><td>(CDF Collab.)</td></tr><tr><td>ARTUSO</td><td>12 PR D85 122002</td><td>M. Artuso et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ASNER</td><td>12 PR D86 112001</td><td>D.M. Asner</td><td>(CLEO Collab.)</td></tr><tr><td>INSLER</td><td>12 PR D85 092016</td><td>J. Insler et al.</td><td>(CLEO Collab.)</td></tr><tr><td>Also</td><td>12O PR D94 09905 (errat.)</td><td>J. Insler et al.</td><td>(CLEO Collab.)</td></tr><tr><td>LEES</td><td>12L PR D85 091170</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>LEES</td><td>12Q PR D86 032001</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>KO</td><td>11 PRL 106 211801</td><td>B.R. Ko et al.</td><td>(BELLE Collab.)</td></tr><tr><td>LOWREY</td><td>11 PR D84 092005</td><td>N. Lowrey et al.</td><td>(CLEO Collab.)</td></tr><tr><td>WILLAMS</td><td>11 PR D84 054015</td><td>M. Williams</td><td>(LOHC Collab.)</td></tr><tr><td>AALTONEN</td><td>10X PR D82 091105</td><td>T. Aaltonen et al.</td><td>(CDF Collab.)</td></tr><tr><td>ANASHIN</td><td>10A PL B866 84</td><td>V.V. Anashin et al.</td><td>(VEPP-4M KEDR Collab.)</td></tr><tr><td>ASNER</td><td>10 PR D81 052007</td><td>D.M. Asner et al.</td><td>(CLEO Collab.)</td></tr><tr><td>LOWREY</td><td>09 PR D80 031105</td><td>B. Bhattacharya, C.-W. Chiang, J.L. Rosner</td><td>(CHC+)</td></tr><tr><td>RUBIN</td><td>09 PR D79 097101</td><td>P. del Amo Sanchez et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ZUPANC</td><td>09 PR D80 052006</td><td>P. del Amo Sanchez et al.</td><td>(BABAR Collab.)</td></tr><tr><td>Also</td><td>10E PR D80 032005</td><td>H. Mendez et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ABERT</td><td>08E PRL 100 121802</td><td>M. Petric et al.</td><td>(BELLE Collab.)</td></tr><tr><td>BERTAR</td><td>09AI PR D80 071103</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>BERTAR</td><td>09AN PRL 103 211801</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>BEDAKA</td><td>09 PR D80 096006</td><td>I. Bedak et al.</td><td>(CPEB+M)</td></tr><tr><td>BESSON</td><td>09 PR D80 032005</td><td>D. Besson et al.</td><td>(CLEO Collab.)</td></tr><tr><td>Also</td><td>09 PR D79 052010</td><td>J.Y.G. et al.</td><td>(CLEO Collab.)</td></tr><tr><td>LOWREY</td><td>09 PR D80 031105</td><td>N. Lowrey et al.</td><td>(CLEO Collab.)</td></tr><tr><td>RUBIN</td><td>09 PR D79 097101</td><td>P. Rubin et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ZUPANC</td><td>09 PR D80 052006</td><td>A. Zupanc et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ABERT</td><td>08E PRL 100 121802</td><td>T. Aaltonen et al.</td><td>(CDF Collab.)</td></tr><tr><td>ABERT</td><td>08L PL B665 16</td><td>M. Ablikim et al.</td><td>(BES Collab.)</td></tr><tr><td>ABERT</td><td>08L PL B662 102</td><td>K. Arinstein et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ABERT</td><td>08 PR D77 092003</td><td>M. Artuso et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ASNER</td><td>08 PR D78 012001</td><td>D.M. Asner et al.</td><td>(CLEO Collab.)</td></tr><tr><td>AUBERT</td><td>08AI PR D78 034023</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>AUBERT</td><td>08AO PR D78 051102</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>AUBERT</td><td>08AZ PR D78 071101</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>AUBERT</td><td>08L PRL 100 051802</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>AUBERT</td><td>08M PRL 100 061803</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>AUBERT</td><td>08P PR D78 011105</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>BITENC</td><td>08 PR D77 112003</td><td>U. Bitenc et al.</td><td>(BELLE Collab.)</td></tr><tr><td>BONVICINI</td><td>08 PR D77 091106</td><td>G. Bonvicini et al.</td><td>(CLEO Collab.)</td></tr><tr><td>DOBBS</td><td>08 PR D77 112005</td><td>S. Dobbs et al.</td><td>(CLEO Collab.)</td></tr><tr><td>Also</td><td>08P PRL 100 251802</td><td>D. Cronin-Hennessy et al.</td><td>(CLEO Collab.)</td></tr><tr><td>GASPERO</td><td>08 PR D78 014015</td><td>M. Gaspero et al.</td><td>(ROMA, TELA)</td></tr><tr><td>HE</td><td>08 PRL 100 091801</td><td>Q. He et al.</td><td>(CLEO Collab.)</td></tr><tr><td>PDG</td><td>08 PL B667 1</td><td>C. Amsler et al.</td><td>(PDG Collab.)</td></tr><tr><td>STARIC</td><td>08 PL B670 190</td><td>M. Staric et al.</td><td>(BELLE Collab.)</td></tr></tbody></table>
• • • We do not use the following data for averages, fits, limits, etc. • • •

142.2 ± 2.0 SADROZINSKI 80 CBAL $D^0 \to D^0 \pi^0$

142.7 ± 1.7 $^2$GOLDHABER 77 MRK1 $e^+e^-$

1 Obtained by analyzing CLEO-c data but not authored by the CLEO Collaboration. This value comes from the average of the results for two decay modes, $D^0 \to K^- \pi^+ \pi^- \pi^+$.

$D^0 \to K^- \pi^+ \pi^- \pi^+$.

2 From simultaneous fit to $D^*(2010)^+, D^*(2007)^0, D^+, \text{ and } D^0$.

### $D^*(2007)^0$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>&lt;2.1</strong></td><td>90</td><td>1 ABACHI</td><td>88B</td><td>HRS</td><td>$D^{*0} \to D^{+} \pi^{-}$</td></tr></tbody></table>

1 Assuming $m_{D^{*0}} = 2007.2 \pm 2.1 \text{ MeV/c}^2$.

### $D^*(2007)^0$ DECAY MODES

$\bar{D}^*(2007)^0$ modes are charge conjugates of modes below.

<table><thead><tr><th>Mode</th><th>Fraction ($\Gamma_f/\Gamma$)</th><th>Confidence level</th></tr></thead><tbody><tr><td>$\Gamma_1$ $D^0 \pi^0$</td><td>(64.7 ± 0.9) %</td><td></td></tr><tr><td>$\Gamma_2$ $D^0 \gamma$</td><td>(35.3 ± 0.9) %</td><td></td></tr><tr><td>$\Gamma_3$ $D^0 e^+ e^-$</td><td>( 3.91 ± 0.33) × 10<sup>-3</sup></td><td></td></tr><tr><td>$\Gamma_4$ $\mu^+ \mu^-$</td><td>&lt; 2.5 × 10<sup>-8</sup></td><td>90%</td></tr><tr><td>$\Gamma_5$ $e^+ e^-$</td><td>&lt; 1.7 × 10<sup>-6</sup></td><td>90%</td></tr></tbody></table>

### CONSTRAINED FIT INFORMATION

An overall fit to 2 branching ratios uses 5 measurements and one constraint to determine 2 parameters. The overall fit has a $\chi^2 = 2.5$ for 4 degrees of freedom.

The following off-diagonal array elements are the correlation coefficients $\langle \delta x_i \delta x_j \rangle / (\delta x_i \cdot \delta x_j)$, in percent, from the fit to the branching fractions, $x_i = \Gamma_i / \Gamma_{\text{total}}$. The fit constrains the $x_i$ whose labels appear in this array to sum to one.

$$x_2 \frac{\Gamma}{\Gamma} \frac{-100}{x_1}$$

### $D^*(2007)^0$ BRANCHING RATIOS

$$\frac{\Gamma(D^0 \pi^0)}{\Gamma_{\text{total}}} \quad \Gamma_1/\Gamma$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.647 ± 0.009 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr></tbody></table>

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

0.655 ± 0.008 ± 0.005 3.2k 1 ABLIKIM 15B BES3 $e^+ e^- \to$ hadrons

0.635 ± 0.003 ± 0.017 69k 1 AUBERT, BE 05G BABR 10.6 $e^+ e^- \to$ hadrons

0.596 ± 0.035 ± 0.028 858 2 ALBRECHT 95F ARG $e^+ e^- \to$ hadrons

0.636 ± 0.023 ± 0.033 1097 2 BUTLER 92 CLE2 $e^+ e^- \to$ hadrons

1 Derived from the ratio $\Gamma(D^0 \pi^0) / \Gamma(D^0 \gamma)$ assuming that the branching fractions of $D^{*0} \to D^0 \pi^0$ and $D^{*0} \to D^0 \gamma$ decays sum to 100%.

2 The BUTLER 92 and ALBRECHT 95F branching ratios are not independent, they have been constrained by the authors to sum to 100%.

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

<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>0.353 ± 0.009 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>0.381 ± 0.029 OUR AVERAGE</strong></td><td></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>0.404 ± 0.035 ± 0.028</td><td>456</td><td>1 ALBRECHT</td><td>95F ARG</td><td>$e^+ e^- \to$ hadrons</td></tr><tr><td>0.364 ± 0.023 ± 0.033</td><td>621</td><td>1 BUTLER</td><td>92 CLE2</td><td>$e^+ e^- \to$ hadrons</td></tr><tr><td>0.37 ± 0.08 ± 0.08</td><td>1.8k</td><td>ADLER</td><td>88D MRK3</td><td>$e^+ e^- \to$ hadrons</td></tr></tbody></table>

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

0.345 ± 0.008 ± 0.005 1.8k 2 ABLIKIM 15B BES3 $e^+ e^- \to$ hadrons

0.365 ± 0.003 ± 0.017 68k 2 AUBERT, BE 05G BABR 10.6 $e^+ e^- \to$ hadrons

0.47 ± 0.23 87 HRS 29 GeV $e^+ e^- \to$ hadrons

0.53 ± 0.13 BARTEL 85G JADE $e^+ e^- \to$ hadrons

0.47 ± 0.12 COLES 82 MRK2 $e^+ e^- \to$ hadrons

0.45 ± 0.15 GOLDHABER 77 MRK1 $e^+ e^- \to$ hadrons

1 The BUTLER 92 and ALBRECHT 95F branching ratios are not independent, they have been constrained by the authors to sum to 100%.

2 Derived from the ratio $\Gamma(D^0 \pi^0) / \Gamma(D^0 \gamma)$ assuming that the branching fractions of $D^{*0} \to D^0 \pi^0$ and $D^{*0} \to D^0 \gamma$ decays sum to 100%.

$$\frac{\Gamma(D^0 \pi^0)}{\Gamma(D^0 \gamma)} \quad \Gamma_1/\Gamma$$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.83 ± 0.07 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>1.85 ± 0.07 OUR AVERAGE</strong></td><td></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>1.90 ± 0.07 ± 0.05</td><td>4.9k</td><td>ABLIKIM</td><td>15B BES3</td><td>10.6 $e^+ e^- \to$ hadrons</td></tr><tr><td>1.74 ± 0.02 ± 0.13</td><td>1.8k</td><td>AUBERT, BE</td><td>05G BABR</td><td>10.6 $e^+ e^- \to$ hadrons</td></tr></tbody></table>

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

1.789 ± 0.082 1 AAIJ 22N LHCB $B^0, B_S^0 \to \bar{D}^{*0}(K\pi, \pi\pi)$

1 Statistical error only.

$$\frac{\Gamma(D^0 e^+ e^-)}{\Gamma(D^0 \gamma)} \quad \Gamma_3/\Gamma$$

<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>11.08 ± 0.76 ± 0.49</strong></td><td>421</td><td>ABLIKIM</td><td>21BD BES3</td><td>4.178 GeV $e^+ e^- \to$ hadrons</td></tr></tbody></table>

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

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>&lt;2.5 × 10<sup>-8</sup></strong></td><td>90</td><td>1 AAIJ</td><td>23D LHCB</td><td>$B^- \to \pi^- \mu^+ \mu^-$</td></tr></tbody></table>

1 AAIJ 23D reports $< 2.6 \times 10^{-8}$ from a measurement of $\Gamma(D^*(2007)^0 \to \mu^+ \mu^-) / \Gamma_{\text{total}}] \times [B(B^+ \to \bar{D}^*(2007)^0 \pi^+) \text{ assuming } B(B^+ \to \bar{D}^*(2007)^0 \pi^+) = (4.90 \pm 0.17) \times 10^{-3}, \text{ which we rescale to our best value } B(B^+ \to \bar{D}^*(2007)^0 \pi^+) = 5.17 \times 10^{-3}. \text{ The reported value also assumes } B(B^- \to J/\psi(1S) K^-) = (10.20 \pm 0.19) \times 10^{-4} \text{ and } B(J/\psi(1S) \to \mu^+ \mu^-) = (59.61 \pm 0.33) \times 10^{-3} \text{ for the normalization mode } B^- \to J/\psi(1S) K^-.$

$$\frac{\Gamma(e^+ e^-)}{\Gamma_{\text{total}}} \quad \Gamma_5/\Gamma$$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>&lt;1.7 × 10<sup>-6</sup></strong></td><td>90</td><td>SHEMYAKIN</td><td>20</td><td>CMD3 $e^+ e^- \to D^0 \pi^0, D^0 \gamma$</td></tr></tbody></table>

### $D^*(2007)^0$ REFERENCES

<table><tbody><tr><td>AAIJ</td><td>23D EPJ C83 666</td><td>R. Aalij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABLIKIM</td><td>23AZ PL B846 138245</td><td>M. Ablikim et al.</td><td>(BESIII Collab.) JP</td></tr><tr><td>AALI</td><td>22N PR D105 072005</td><td>R. Aalij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABLIKIM</td><td>21BD PR D104 112012</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>SHEMYAKIN</td><td>20 PAN 83 954</td><td>D.N. Shemyakin</td><td>(CMD-3 Collab.)</td></tr><tr><td>ABLIKIM</td><td>15B PR D91 031101</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>TOMARADZE</td><td>15 PR D91 011102</td><td>A. Tomaradze et al.</td><td>(NWE5)</td></tr><tr><td>AUBERT, BE</td><td>05G PR D72 091101</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ALBRECHT</td><td>95F ZPHY C66 63</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.)</td></tr><tr><td>BORTOLETTO</td><td>92B PRL 69 2046</td><td>D. Bortololetto et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BUTLER</td><td>92 PRL 69 2041</td><td>F. Butler et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ABACHI</td><td>88B PL B212 533</td><td>S. Abachi et al.</td><td>(ANL, IND, MICH, PURD+)</td></tr><tr><td>ADLER</td><td>88D PL B208 152</td><td>J. Adler et al.</td><td>(Mark III Collab.)</td></tr><tr><td>LOW</td><td>87 PL B103 232</td><td>E.H. Low et al.</td><td>(HRS Collab.)</td></tr><tr><td>BARTEL</td><td>85G PL 161B 197</td><td>W. Bartel et al.</td><td>(JADE Collab.)</td></tr><tr><td>COLES</td><td>82 PR D26 2190</td><td>M.W. Coles et al.</td><td>(LBL, SLAC)</td></tr><tr><td>SADROZINSKI</td><td>80 Madison Conf.</td><td>H.F.W. Sadrozinski et al.</td><td>(PRIN, CIT+)</td></tr><tr><td>GOLDHABER</td><td>77 PL 69B 503</td><td>G. Goldhaber et al.</td><td>(Mark I Collab.)</td></tr></tbody></table>

$$D^*(2010)^\pm \quad I(J^P) = \frac{1}{2}(1^-)$$

$J^P = 1^-$ established by ABLIKIM 23AZ.

### $D^*(2010)^\pm$ MASS

The fit includes $D^\pm, D^0, D_S^\pm, D^{*\pm}, D^{*0}, D_S^{*\pm}, D_1(2420)^0, D_2^*(2460)^0$, and $D_{S1}(2536)^\pm$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>2010.26 ± 0.05 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr></tbody></table>

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

2008 ± 3 1 GOLDHABER 77 MRK1 ± $e^+ e^-$

2008.6 ± 1.0 2 PERUZZI 77 LGW ± $e^+ e^-$

1 From simultaneous fit to $D^*(2010)^+, D^*(2007)^0, D^+, \text{ and } D^0$; not independent of FELDMAN 77B mass difference below.

2 PERUZZI 77 mass independent of FELDMAN 77B mass difference below and PERUZZI 77 $D^0$ mass value.

$$m_{D^*(2010)^+} - m_{D^0}$$

The fit includes $D^\pm, D^0, D_S^\pm, D^{*\pm}, D^{*0}, D_S^{*\pm}, D_1(2420)^0, D_2^*(2460)^0$, and $D_{S1}(2536)^\pm$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>140.603 ± 0.015 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>140.602 ± 0.014 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>140.6010 ± 0.0068 ± 0.0129</td><td>151k</td><td>LEES</td><td>17F BABR</td><td>$e^+ e^- \to$ hadrons</td></tr><tr><td>140.64 ± 0.08 ± 0.06</td><td>620</td><td>BORTOLETTO 92B</td><td>CLE2</td><td>$e^+ e^- \to$ hadrons</td></tr></tbody></table>

$$m_{D^*(2010)^+} - m_{D^0}$$

The fit includes $D^\pm, D^0, D_S^\pm, D^{*\pm}, D^{*0}, D_S^{*\pm}, D_1(2420)^0, D_2^*(2460)^0$, and $D_{S1}(2536)^\pm$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>145.4258 ± 0.0017 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>145.4258 ± 0.0020 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>145.4259 ± 0.0004 ± 0.0017</td><td>312.8k</td><td>LEES</td><td>13X BABR</td><td>$D^{*\pm} \to D^0 \pi^\pm \to (K\pi, K^3\pi)^\pm$</td></tr><tr><td>145.412 ± 0.002 ± 0.012</td><td></td><td>ANASTASSOV 02</td><td>CLE2</td><td>$D^{*\pm} \to D^0 \pi^\pm \to (K\pi)^\pm$</td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>145.54 ± 0.08</td><td>611</td><td>1 ADINOLFI</td><td>99 BEAT</td><td>$D^{*\pm} \to D^0 \pi^\pm$</td></tr><tr><td>145.45 ± 0.02</td><td></td><td>1 BREITWEG</td><td>99 ZEUS</td><td>$D^{*\pm} \to D^0 \pi^\pm \to (K\pi)^\pm$</td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>145.42 ± 0.05</td><td></td><td>1 BREITWEG</td><td>99 ZEUS</td><td>$D^{*\pm} \to D^0 \pi^\pm \to (K^- 3\pi)^\pm$</td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>145.45 ± 0.02</td><td></td><td>1 BREITWEG</td><td>99 ZEUS</td><td>$D^{*\pm} \to D^0 \pi^\pm \to (K^- 3\pi)^\pm$</td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>145.42 ± 0.05</td><td></td><td>1 BREITWEG</td><td>99 ZEUS</td><td>$D^{*\pm} \to D^0 \pi^\pm \to (K^- 3\pi)^\pm$</td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>145.5 ± 0.15</td><td>103</td><td>2 ADLOFF</td><td>97B H1</td><td>$D^{*\pm} \to D^0 \pi^\pm$</td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>145.42 ± 0.05</td><td></td><td>1 BREITWEG</td><td>99 ZEUS</td><td>$D^{*\pm} \to D^0 \pi^\pm \to (K^- 3\pi)^\pm$</td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>145.42 ± 0.05</td><td></td><td>1 BREITWEG</td><td>99 ZEUS</td><td>$D^{*\pm} \to D^0 \pi^\pm \to (K^- 3\pi)^\pm$</td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>145.5 ± 0.15</td><td>103</td><td>2 ADLOFF</td><td>97B H1</td><td>$D^{*\pm} \to D^0 \pi^\pm$</td></tr></tbody></table>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>145.5 ± 0.15</td><td>103</td><td>2 ADLOFF</td><td>97B H1</td><td>$D^{*\pm} \to D^0 \pi^\pm$</td></tr></tbody></table>
# Meson Particle Listings

## D*(2010)±, D₀*(2300)

145.44 ±0.08 152 ² BREITWEG 97 ZEUS D*± → D⁰π±,

145.42 ±0.11 199 ² BREITWEG 97 ZEUS D*± → D⁰π∓, ³π

145.4 ±0.2 48 ² DERRICK 95 ZEUS D*± → D⁰π∓, ³π

145.39 ±0.06 ±0.03 115 BARLAG 92B ACCM π⁻ 230 GeV

145.5 ±0.2 115 ² ALEXANDER 91B OPAL D*± → D⁰π±,

145.30 ±0.06 115 ² DECAMP 91J ALEP D*± → D⁰π±,

145.40 ±0.05 ±0.10 88B HRS D*± → D⁰π∓,

145.46 ±0.07 ±0.03 85F ARG D*± → D⁰π∓, ³π

145.5 ±0.3 28 BAILEY 83 SPEC D*± → D⁰π∓,

145.5 ±0.3 60 FITCH 81 SPEC π⁻ A

145.3 ±0.5 30 FELDMAN 77B MRK1 D*⁺ → D⁰π⁺,

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

145.4256 ±0.0006 ±0.0017 138.5k LEES 13x BABR D*± → D⁰π±, ⁴K π⁺ π⁻

145.4266 ±0.0005 ±0.0019 174.3k LEES 13x BABR D*± → D⁰π±, ⁴K π⁺ π⁻, ⁴K π⁺ π⁻

145.44 ±0.09 122 ² BREITWEG 97B ZEUS D*± → D⁰π∓, ⁴K π⁺ π⁻

145.8 ±1.5 16 AHLEN 83 HRS D*⁺ → D⁰π⁺, ⁴K π⁺ π⁻

145.1 ±1.8 12 BAILEY 83 SPEC D*± → D⁰π±,

145.1 ±0.5 14 BAILEY 83 SPEC D*± → D⁰π∓,

145.5 ±0.5 14 YELTON 82 MRK2 29 e⁺ e⁻ → ⁴K π⁺ π⁻

~ 145.5 2 AVERY 80 SPEC γA

145.2 ±0.6 2 BLIETSCHAU 79 BEBC νp

## mD*(2010)⁻ + mD*(2007)⁰

VALUE (MeV) DOCUMENT ID TECN COMMENT

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

2.6 ±1.8 ¹ PERUZZI 77 LGW e⁺ e⁻

¹ Not independent of FELDMAN 77b mass difference above, PERUZZI 77 D⁰ mass, and GOLDHABER 77 D*(2007)⁰ mass.

## D*(2010)± WIDTH

VALUE (keV) CL% EVTS DOCUMENT ID TECN COMMENT

### 83.4 ±1.8 OUR AVERAGE

83.3 ±1.2 ± 1.4 312.8k ¹ LEES 13x BABR D*± → D⁰π±, ⁴K π⁺ K 3π π⁻

96 ±4 ±22 ¹ ANASTASSOV 02 CLE2 D*± → D⁰π±, ⁴K π⁺ π⁻

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

83.4 ±1.7 ± 1.5 138.5k ¹ LEES 13x BABR D*± → D⁰π±, ⁴K π⁺ K 3π π⁻

83.2 ±1.5 ± 2.6 174.3k ¹ LEES 13x BABR D*± → D⁰π±, ⁴K π⁺ π⁻, ⁴K π⁺ π⁻

<131 90 110 BARLAG 92B ACCM π⁻ 230 GeV

¹ Ignoring the electromagnetic contribution from D*± → D*γ.

## D*(2010)± DECAY MODES

D*(2010)⁻ modes are charge conjugates of the modes below.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> D<sup>0</sup>π<sup>+</sup></td><td>(67.7 ± 0.5) %</td></tr><tr><td>Γ<sub>2</sub> D<sup>+</sup>π<sup>0</sup></td><td>(30.7 ± 0.5) %</td></tr><tr><td>Γ<sub>3</sub> D<sup>+</sup>γ</td><td>(1.6 ± 0.4) %</td></tr></tbody></table>

## CONSTRAINED FIT INFORMATION

An overall fit to 3 branching ratios uses 6 measurements and one constraint to determine 3 parameters. The overall fit has a $\chi^2 = 0.3$ for 4 degrees of freedom.

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

<figure><img src="image_551.png" /></figure>

## D*(2010)⁺ BRANCHING RATIOS

VALUE Γ(D⁰π⁺)/Γtotal EVTS DOCUMENT ID TECN COMMENT Γ₁/Γ

0.677 ±0.005 OUR FIT

0.677 ±0.006 OUR AVERAGE

0.6759 ±0.0029 ±0.0064 1,2,3 BARTELT 98 CLE2 e⁺ e⁻

0.688 ±0.024 ±0.013 ALBRECHT 95F ARG e⁺ e⁻ → hadrons

0.681 ±0.010 ±0.013 ¹ BUTLER 92 CLE2 e⁺ e⁻ → hadrons

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

0.57 ±0.04 ±0.04 ADLER 88D MRK3 e⁺ e⁻

0.44 ±0.10 COLES 82 MRK2 e⁺ e⁻

0.6 ±0.15 ³ GOLDHABER 77 MRK1 e⁺ e⁻

¹ The branching ratios are not independent, they have been constrained by the authors to sum to 100%.

² Systematic error includes theoretical error on the prediction of the ratio of hadronic modes.

³ Assuming that isospin is conserved in the decay.

## Γ(D⁺π⁰)/Γtotal Γ₂/Γ

VALUE 0.307 ±0.005 OUR FIT EVTS DOCUMENT ID TECN COMMENT

0.3073 ±0.0013 ±0.0062 1,2,3 BARTELT 98 CLE2 e⁺ e⁻

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

0.312 ±0.011 ±0.008 1404 ALBRECHT 95F ARG e⁺ e⁻ → hadrons

0.308 ±0.004 ±0.008 410 ¹ BUTLER 92 CLE2 e⁺ e⁻ → hadrons

0.26 ±0.02 ±0.02 ADLER 88D MRK3 e⁺ e⁻

0.34 ±0.07 COLES 82 MRK2 e⁺ e⁻

¹ The branching ratios are not independent, they have been constrained by the authors to sum to 100%.

² Systematic error includes theoretical error on the prediction of the ratio of hadronic modes.

³ Assuming that isospin is conserved in the decay.

## Γ(D⁺γ)/Γtotal Γ₃/Γ

VALUE CL% EVTS DOCUMENT ID TECN COMMENT

0.016 ±0.004 OUR FIT

0.016 ±0.005 OUR AVERAGE

0.0168 ±0.0042 ±0.0029 1,2 BARTELT 98 CLE2 e⁺ e⁻

0.011 ±0.014 ±0.016 12 ¹ BUTLER 92 CLE2 e⁺ e⁻ → hadrons

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

<0.052 90 ALBRECHT 95F ARG e⁺ e⁻ → hadrons

0.17 ±0.05 ±0.05 ADLER 88D MRK3 e⁺ e⁻

0.22 ±0.12 ³ COLES 82 MRK2 e⁺ e⁻

¹ The branching ratios are not independent, they have been constrained by the authors to sum to 100%.

² Systematic error includes theoretical error on the prediction of the ratio of hadronic modes.

³ Not independent of Γ(D⁰π⁺)/Γtotal and Γ(D⁺π⁰)/Γtotal measurement.

## D*(2010)± REFERENCES

<table><tr><td>ABLIKIM</td><td>23AZ</td><td>PL B46 138245</td><td>M. Ablikim et al.</td><td>(BESIII Collab.) JP</td></tr><tr><td>LEES</td><td>17F</td><td>PL 119 202003</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>LEES</td><td>13X</td><td>PL 111 111801</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>Also</td><td>PR</td><td>D88 052003</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>Also</td><td>PR</td><td>D88 079902 (errat.)</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ANASTASSOV</td><td>02</td><td>PR D65 032003</td><td>A. Anastassov et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ADINOLFI</td><td>99</td><td>NP B547 3</td><td>M. Adinolfi et al.</td><td>(Beatrice Collab.)</td></tr><tr><td>BREITWEG</td><td>93</td><td>EPI C6 67</td><td>J. Breitweg et al.</td><td>(ZEUS Collab.)</td></tr><tr><td>BARTELT</td><td>98</td><td>PL 80 3919</td><td>J. Bartelt et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ADLOFF</td><td>97B</td><td>ZPHY C72 593</td><td>C. Adloff et al.</td><td>(H1 Collab.)</td></tr><tr><td>BREITWEG</td><td>97</td><td>PL B401 192</td><td>J. Breitweg et al.</td><td>(ZEUS Collab.)</td></tr><tr><td>BREITWEG</td><td>97B</td><td>PL B407 402</td><td>J. Breitweg et al.</td><td>(ZEUS Collab.)</td></tr><tr><td>ALBRECHT</td><td>95F</td><td>ZPHY C66 63</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.)</td></tr><tr><td>DERRICK</td><td>95</td><td>PL B349 225</td><td>M. Derrick et al.</td><td>(ZEUS Collab.)</td></tr><tr><td>BARLAG</td><td>92B</td><td>PL B278 480</td><td>S. Barlag et al.</td><td>(ACC MOR Collab.)</td></tr><tr><td>BORTOLETTO</td><td>92B</td><td>PL 69 2046</td><td>D. Bortololetto et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BUTLER</td><td>92</td><td>PL 69 2041</td><td>F. Butler et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ALEXANDER</td><td>91B</td><td>PL B262 341</td><td>G. Alexander et al.</td><td>(OPAL Collab.)</td></tr><tr><td>DECAMP</td><td>91J</td><td>PL B266 218</td><td>D. Decamp et al.</td><td>(ALEPH Collab.)</td></tr><tr><td>ABACHI</td><td>88B</td><td>PL B212 533</td><td>S. Abachi et al.</td><td>(ANL, IND, MICH, PURD+)</td></tr><tr><td>ADLER</td><td>88D</td><td>PL B208 152</td><td>J. Adler et al.</td><td>(Mark III Collab.)</td></tr><tr><td>ALBRECHT</td><td>85F</td><td>PL 150B 235</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.)</td></tr><tr><td>AHLEN</td><td>83</td><td>PL 51 1147</td><td>S.P. Ahlen et al.</td><td>(ANL, IND, LBL+)</td></tr><tr><td>BAILEY</td><td>83</td><td>PL 132B 230</td><td>R. Bailey et al.</td><td>(AMST, BRIS, CERAC+)</td></tr><tr><td>COLES</td><td>82</td><td>PR D26 2190</td><td>M.W. Coles et al.</td><td>(LBL, SLAC)</td></tr><tr><td>YELTON</td><td>82</td><td>PL 49 430</td><td>J.M. Yelton et al.</td><td>(SLAC, LBL, UCB+)</td></tr><tr><td>FITCH</td><td>81</td><td>PL 46 761</td><td>V.L. Fitch et al.</td><td>(PRIN, SACL, TORI+)</td></tr><tr><td>AVERY</td><td>80</td><td>PL 44 1309</td><td>P. Avery et al.</td><td>(ILL, FNAL, COLU)</td></tr><tr><td>BLIETSCHAU</td><td>79</td><td>PL B68 108</td><td>J. Blietschau et al.</td><td>(AACH3, BONN, CERN+)</td></tr><tr><td>FELDMAN</td><td>77B</td><td>PL 36 1313</td><td>G.J. Feldman et al.</td><td>(Mark I Collab.)</td></tr><tr><td>GOLDHABER</td><td>77</td><td>PL 69B 503</td><td>G. Goldhaber et al.</td><td>(Mark I Collab.)</td></tr><tr><td>FELDMAN</td><td>77B</td><td>PL 36 1313</td><td>I. Peruzzi et al.</td><td>(LGW Collab.)</td></tr></table>

## D₀*(2300)

$$I(J^P) = \frac{1}{2}(0^+)$$

was D₀*(2400)

There is a strong evidence that recent data on $B \to D\pi\pi$ (AAIJ 15Y, AAIJ 16AH) and $B \to D\pi K$ (AAIJ 14BH, AAIJ 15V, AAIJ 15X) call for two poles in the scalar $I = 1/2 \pi D$ amplitude in this mass range. The data are consistent with a lower pole at $(2105^{+6}_{-8}) - i(102^{+10}_{-11})$ MeV and a higher pole at $(2451^{+35}_{-26}) - i(134^{+7}_{-8})$ MeV (DU 18A, DU 19, DU 21). For details see review on "Heavy Non-$q\bar{q}$ Mesons."

## D₀*(2300) MASS

VALUE (MeV) EVTS DOCUMENT ID TECN CHG COMMENT

2343 ±10 OUR AVERAGE Error includes scale factor of 1.5. See the ideogram below.

2360 ±15 ±30 ¹ AAIJ 15x LHCB + B⁰ → D⁰ K⁺π⁻

2349 ±6 ±4 ² AAIJ 15Y LHCB + B⁰ → D⁰ K⁺π⁻

2297 ±8 ±20 3.4K AUBERT 09AB BABR 0 B⁻ → D⁺π⁻π⁻
• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>2354 ± 7 ± 11</td><td>3 AAIJ</td><td>15γ LHCB</td><td>+</td><td>B<sup>0</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>2403 ± 14 ± 35</td><td>18.8k</td><td>4 LINK</td><td>+</td><td>γ A</td></tr><tr><td>2407 ± 21 ± 35</td><td>9.8k</td><td>4 LINK</td><td>+</td><td>γ A</td></tr></table>

¹ From the Dalitz plot analysis including various K\* and D\*\* mesons as well as broad structures in the Kπ S-wave and the Dπ S- and P-waves.

² Modeling the π⁺π⁻ S-wave with the Isobar formalism.

³ Modeling the π⁺π⁻ S-wave with the K-matrix formalism.

⁴ Possibly the feed-down from another state.

WEIGHTED AVERAGE
2343±10 (Error scaled by 1.5)

<figure><img src="image_552.png" /></figure>

$D_0^*(2300)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>229 ± 16 OUR AVERAGE</strong></td></tr><tr><td>255 ± 26 ± 51</td><td></td><td>1 AAIJ</td><td>15x LHCB</td><td>+</td><td>B<sup>0</sup> → D<sup>0</sup> K<sup>+</sup>π<sup>-</sup></td></tr><tr><td>217 ± 13 ± 13</td><td></td><td>2 AAIJ</td><td>15γ LHCB</td><td>+</td><td>B<sup>0</sup> → D<sup>0</sup> π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>273 ± 12 ± 48</td><td>3.4k</td><td>AUBERT</td><td>09AB BABR</td><td>0</td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>276 ± 21 ± 63</td><td></td><td>ABE</td><td>04D BELL</td><td>0</td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr></tbody></table>

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

<table><tr><td>230 ± 15 ± 21</td><td>3 AAIJ</td><td>15γ LHCB</td><td>+</td><td>B<sup>0</sup> → D<sup>0</sup> π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>283 ± 24 ± 34</td><td>18.8k</td><td>4 LINK</td><td>04A FOCS</td><td>+</td><td>γ A</td></tr><tr><td>240 ± 55 ± 59</td><td>9.8k</td><td>4 LINK</td><td>04A FOCS</td><td>0</td><td>γ A</td></tr></table>

¹ From the Dalitz plot analysis including various K\* and D\*\* mesons as well as broad structures in the Kπ S-wave and the Dπ S- and P-waves.

² Modeling the π⁺π⁻ S-wave with the Isobar formalism.

³ Modeling the π⁺π⁻ S-wave with the K-matrix formalism.

⁴ Possibly the feed-down from another state.

$D_0^*(2300)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Dπ<sup>±</sup></td><td>seen</td></tr></tbody></table>

<table><thead><tr><th colspan="2">Γ(Dπ<sup>±</sup>)/Γ<sub>total</sub></th><th colspan="5">Γ<sub>1</sub>/Γ</th></tr><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th><th></th></tr></thead><tbody><tr><td>seen</td><td></td><td>AAIJ</td><td>15x LHCB</td><td>+</td><td>D*(2300)<sup>+</sup> → D<sup>0</sup>π<sup>+</sup></td><td></td></tr><tr><td>seen</td><td></td><td>AAIJ</td><td>15γ LHCB</td><td>+</td><td>D*(2300)<sup>+</sup> → D<sup>0</sup>π<sup>+</sup></td><td></td></tr><tr><td>seen</td><td>3.4k</td><td>AUBERT</td><td>09AB BABR</td><td>0</td><td>D*(2300)<sup>0</sup> → D<sup>+</sup>π<sup>-</sup></td><td></td></tr><tr><td>seen</td><td></td><td>ABE</td><td>04D BELL</td><td>0</td><td>D*(2300)<sup>0</sup> → D<sup>+</sup>π<sup>-</sup></td><td></td></tr><tr><td>seen</td><td>18.8k</td><td>LINK</td><td>04A FOCS</td><td>+</td><td>D*(2300)<sup>+</sup> → D<sup>0</sup>π<sup>+</sup></td><td></td></tr></tbody></table>

$D_0^*(2300)$ REFERENCES

<table><tr><td>DU</td><td>21</td><td>PRL 126 192001</td><td>M.-L. Du et al.</td><td></td></tr><tr><td>DU</td><td>19</td><td>PR D99 114002</td><td>M.-L. Du, F.-K. Guo, U.-G. Meissner</td><td></td></tr><tr><td>DU</td><td>18A</td><td>PR D98 094018</td><td>M.-L. Du et al.</td><td></td></tr><tr><td>AAIJ</td><td>16AH</td><td>PR D94 072001</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>15V</td><td>PR D91 092002</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>Also</td><td></td><td>PR D93 119901</td><td>(errat.)</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>15X</td><td>PR D92 012012</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>15Y</td><td>PR D92 032002</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>14BH</td><td>PR D90 072003</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AUBERT</td><td>09AB</td><td>PR D79 112004</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ABE</td><td>04D</td><td>PR D69 112002</td><td>K. Abe et al.</td><td>(BELLE Collab.)</td></tr><tr><td>LINK</td><td>04A</td><td>PL B586 11</td><td>J.M. Link et al.</td><td>(FOCUS Collab.)</td></tr></table>

$D_1(2420)$

$$I(J^P) = \frac{1}{2}(1^+)$$

$D_1(2420)$ MASS

The fit includes $D^{\pm}$, $D^0$, $D_{\pi}^{\pm}$, $D^{*\pm}$, $D^{*0}$, $D_{\pi}^{*\pm}$, $D_1(2420)^0$, $D_2^0(2460)^0$, and $D_{S1}(2536)^{\pm}$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>2422.1 ± 0.6 OUR FIT</strong></td></tr><tr><td colspan="6">Error includes scale factor of 1.7.</td></tr><tr><td colspan="6"><strong>2422.1 ± 0.8 OUR AVERAGE</strong></td></tr><tr><td colspan="6">Error includes scale factor of 2.1. See the ideogram below.</td></tr><tr><td>2424.8 ± 0.1 ± 0.7</td><td>79k</td><td>1 AAIJ</td><td>20D LHCB</td><td>0</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2427.2 ± 1.0 ± 1.2</td><td>4207</td><td>ABLIKIM</td><td>20P BES3</td><td>+</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>D<sup>+</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>2419.6 ± 0.1 ± 0.7</td><td>210k</td><td>AAIJ</td><td>13CC LHCB</td><td>0</td><td>p p → D<sup>*+</sup>π<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2423.1 ± 1.5<sup>+0.4</sup><sub>-1.0</sub></td><td>2.7k</td><td>2 ABRAMOWICZ13</td><td>ZEUS</td><td>0</td><td>e<sup>±</sup>p → D<sup>(*)</sup>π<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2421.9 ± 4.7<sup>+3.4</sup><sub>-1.2</sub></td><td>759</td><td>3 ABRAMOWICZ13</td><td>ZEUS</td><td>+</td><td>e<sup>±</sup>p → D<sup>(*)</sup>0π<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2420.1 ± 0.1 ± 0.8</td><td>103k</td><td>DEL-AMO-SA...10P</td><td>BABR</td><td>0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup>X</td></tr><tr><td>2426 ± 3 ± 1</td><td>151</td><td>ABE</td><td>05A BELL</td><td>0</td><td>B<sup>-</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2421 ± 2 ± 1</td><td>124</td><td>ABE</td><td>05A BELL</td><td>+</td><td>B<sup>0</sup> → D<sup>+</sup>π<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2421.4 ± 1.5 ± 0.9</td><td></td><td>4 ABE</td><td>04D BELL</td><td>0</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2421 <sup>+1</sup><sub>-2</sub> ± 2</td><td>286</td><td>AVERY</td><td>94C CLE2</td><td>0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup>X</td></tr><tr><td>2425 ± 2 ± 2</td><td>146</td><td>BERGFELD</td><td>94B CLE2</td><td>+</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*0</sup>π<sup>+</sup>X</td></tr><tr><td>2422 ± 2 ± 2</td><td>51</td><td>FRABETTI</td><td>94B E687</td><td>0</td><td>γBe → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup>X</td></tr><tr><td>2428 ± 3 ± 2</td><td>279</td><td>AVERY</td><td>90 CLEO</td><td>0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup>X</td></tr><tr><td>2414 ± 2 ± 5</td><td>171</td><td>ALBRECHT</td><td>89H ARG</td><td>0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup>X</td></tr><tr><td>2428 ± 8 ± 5</td><td>171</td><td>ANJOS</td><td>89C TPS</td><td>0</td><td>γN → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup>X</td></tr><tr><td>2443 ± 7 ± 5</td><td>190</td><td>ANJOS</td><td>89C TPS</td><td>+</td><td>γN → D<sup>0</sup>π<sup>+</sup>π<sup>0</sup>X</td></tr></tbody></table>

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

<table><tr><td>2420.5 ± 2.1 ± 0.9</td><td>3.1k</td><td>5 CHEKANOV</td><td>09 ZEUS</td><td>0</td><td>e<sup>±</sup>p → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup>X</td></tr><tr><td>2421.7 ± 0.7 ± 0.6</td><td>7.5k</td><td>ABULENCIA</td><td>06A CDF</td><td>0</td><td>1900 p p → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup>X</td></tr><tr><td>2425 ± 3</td><td>235</td><td>6 ABREU</td><td>98M DLPH</td><td>0</td><td>e<sup>+</sup>e<sup>-</sup></td></tr></table>

¹ From a full four-body amplitude analysis of the $B^{-} \to D^{*+} \pi^{-} \pi^{-}$ decay.

² From the combined fit of the $M(D^{+} \pi^{-})$ and $M(D^{*+} \pi^{-})$ distributions. and $A_{D_2}$ fixed to the theoretical prediction of -1.

³ From the fit of the $M(D^{0} \pi^{+})$ distribution. The widths of the $D_{1}^{+}$ and $D_{2}^{*+}$ are fixed to 25 MeV and 37 MeV, and $A_{D_1}$ and $A_{D_2}$ are fixed to the theoretical predictions of 3 and -1, respectively.

⁴ Fit includes the contribution from $D_1^*(2430)^0$.

⁵ Calculated using the mass difference $m(D_1^0) - m(D_1^+)_{PDG}$ reported below and $m(D^{*+})_{PDG} = 2010.27 \pm 0.17$ MeV. The 0.17 MeV uncertainty of the PDG mass value should be added to the experimental uncertainty of 0.9 MeV.

⁶ No systematic error given.

WEIGHTED AVERAGE
2422.1±0.8 (Error scaled by 2.1)

<figure><img src="image_553.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.

$D_1(2420)$ mass (MeV)
$m_{D_1(2420)^0} - m_{D^+}$

The fit includes $D^{\pm}, D^0, D^{\pm}_S, D^{\pm\pm}, D^{*0}, D^{\pm}_S, D_1(2420)^0, D_2^*(2460)^0$, and $D_{51}(2536)^{\pm}$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>411.8±0.6 OUR FIT</strong> Error includes scale factor of 1.7.<br><strong>411.5±0.8 OUR AVERAGE</strong></td></tr><tr><td>410.2±2.1±0.9</td><td>3.1k</td><td>CHEKANOV</td><td>09</td><td>ZEUS</td></tr><tr><td>411.7±0.7±0.4</td><td>7.5k</td><td>ABULENCIA</td><td>06A</td><td>CDF</td></tr></tbody></table>

$m_{D_1(2420)^0} - m_{D_1(2420)^0}$

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>4<sup>+2</sup>/<sub>3</sub>±3</strong></td><td>BERGFELD</td><td>94B</td><td>CLE2</td></tr></tbody></table>

### $D_1(2420)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>31.3±1.9 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td><td>Error includes scale factor of 2.8. See the ideogram below.</td></tr><tr><td>33.6±0.3±2.7</td><td>79k</td><td>1 AAIJ</td><td>20D</td><td>LHCB</td><td>0</td></tr><tr><td>23.2±2.3±2.3</td><td>4207</td><td>ABLIKIM</td><td>20P</td><td>BES3</td><td>+</td></tr><tr><td>35.2±0.4±0.9</td><td>210k</td><td>AAIJ</td><td>13CC</td><td>LHCB</td><td>0</td></tr><tr><td>38.8±5.0<sup>+1.9</sup><sub>-5.4</sub></td><td>2.7k</td><td>2 ABRAMOWICZ13</td><td>ZEUS</td><td>0</td><td>e<sup>±</sup>ρ → D<sup>(*)</sup>+π<sup>-</sup>X</td></tr><tr><td>31.4±0.5±1.3</td><td>103k</td><td>DEL-AMO-SA...10P</td><td>BABR</td><td>0</td><td>e<sup>±</sup>e<sup>-</sup> → D<sup>*+</sup>+π<sup>-</sup>X</td></tr><tr><td>20.0±1.7±1.3</td><td>7.5k</td><td>ABULENCIA</td><td>06A</td><td>CDF</td><td>0</td></tr><tr><td>24 ± 7 ± 8</td><td>151</td><td>ABE</td><td>05A</td><td>BELL</td><td>0</td></tr><tr><td>21 ± 5 ± 8</td><td>124</td><td>ABE</td><td>05A</td><td>BELL</td><td>+</td></tr><tr><td>23.7±2.7±4.0</td><td></td><td>3 ABE</td><td>04D</td><td>BELL</td><td>0</td></tr><tr><td>20<sup>+6</sup><sub>-5</sub> ± 3</td><td>286</td><td>AVERY</td><td>94C</td><td>CLE2</td><td>0</td></tr><tr><td>26<sup>+8</sup><sub>-7</sub> ± 4</td><td>146</td><td>BERGFELD</td><td>94B</td><td>CLE2</td><td>+</td></tr><tr><td>15 ± 8 ± 4</td><td>51</td><td>FRABETTI</td><td>94B</td><td>E687</td><td>0</td></tr><tr><td>23<sup>+8</sup><sub>-6</sub> ± 3</td><td>279</td><td>AVERY</td><td>90</td><td>CLEO</td><td>0</td></tr><tr><td>13 ± 6<sup>+10</sup><sub>-5</sub></td><td>171</td><td>ALBRECHT</td><td>89H</td><td>ARG</td><td>0</td></tr><tr><td>41 ± 19 ± 8</td><td>190</td><td>ANJOS</td><td>89C</td><td>TPS</td><td>+</td></tr></tbody></table>

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

<table><tbody><tr><td>53.2±7.2<sup>+3.3</sup><sub>-4.9</sub></td><td>3.1k</td><td>CHEKANOV</td><td>09</td><td>ZEUS</td><td>0</td><td>e<sup>±</sup>ρ → D<sup>*+</sup>+π<sup>-</sup>X</td></tr><tr><td>58±14±10</td><td>171</td><td>ANJOS</td><td>89C</td><td>TPS</td><td>0</td><td>γN → D<sup>*+</sup>+π<sup>-</sup>X</td></tr></tbody></table>

¹From a full four-body amplitude analysis of the $B^- \to D^{*+} \pi^- \pi^-$ decay.

²From the combined fit of the $M(D^+\pi^-)$ and $M(D^{*+}\pi^-)$ distributions. and $A_{D_2}$ fixed to the theoretical prediction of -1.

³Fit includes the contribution from $D_1^*(2430)^0$.

<figure><img src="image_554.png" /><figcaption>$D_1(2420)$ WIDTH (MeV)</figcaption></figure>

### $D_1(2420)$ DECAY MODES

$\bar{D}_1(2420)$ modes are charge conjugates of modes below.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> D<sup>*+</sup>(2007)<sup>0</sup>π</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> Dπ<sup>+</sup>π<sup>-</sup></td><td></td></tr><tr><td>Γ<sub>3</sub> Dρ<sup>0</sup></td><td></td></tr></tbody></table>

$\Gamma_4 D_{f0}(500)$

$\Gamma_5 D_0^*(2300)^0 \pi$

$\Gamma_6 D^0 \pi$

$\Gamma_7 D^* \pi^+ \pi^-$

### $D_1(2420)$ BRANCHING RATIOS

$\Gamma(D^{*}(2007)^0 \pi) / \Gamma_{\text{total}}$

$\Gamma_1 / \Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>ACKERSTAFF</td><td>97W</td><td>OPAL</td><td>0</td><td>e<sup>±</sup>e<sup>-</sup> → D<sup>*+</sup>+π<sup>-</sup>X</td></tr><tr><td>seen</td><td>EVERY</td><td>90</td><td>CLEO</td><td>0</td><td>e<sup>±</sup>e<sup>-</sup> → D<sup>*+</sup>+π<sup>-</sup>X</td></tr><tr><td>seen</td><td>ALBRECHT</td><td>89H</td><td>ARG</td><td>0</td><td>e<sup>±</sup>e<sup>-</sup> → D<sup>*+</sup>+π<sup>-</sup>X</td></tr><tr><td>seen</td><td>ANJOS</td><td>89C</td><td>TPS</td><td>0</td><td>γN → D<sup>*+</sup>+π<sup>-</sup>X</td></tr><tr><td>seen</td><td>ANJOS</td><td>89C</td><td>TPS</td><td>+</td><td>γN → D<sup>0</sup>π<sup>+</sup>X<sup>0</sup></td></tr></tbody></table>

$\Gamma(D^0 \pi) / \Gamma(D^{*}(2007)^0 \pi)$

$\Gamma_6 / \Gamma_1$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>&lt;0.18</strong></td><td>90</td><td>BERGFELD</td><td>94B</td><td>CLE2</td><td>+</td><td>e<sup>±</sup>e<sup>-</sup> → hadrons</td></tr><tr><td>&lt;0.24</td><td>90</td><td>EVERY</td><td>90</td><td>CLEO</td><td>0</td><td>e<sup>±</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>X</td></tr></tbody></table>

### $D_1(2420)$ POLARIZATION AMPLITUDE $A_{D_1}$

A polarization amplitude $A_{D_1}$ is a parameter that depends on the initial polarization of the $D_1$ and is sensitive to a possible S-wave contribution to its decay. For $D_1$ decays the helicity angle, $\theta_h$, distribution varies like $1 + A_{D_1} \cos^2\theta_h$, where $\theta_h$ is the angle in the $D^*$ rest frame between the two pions emitted by the $D_1 \to D^*\pi$ and the $D^* \to D\pi$.

Unpolarized $D_1$ decaying purely via D-wave is predicted to give $A_{D_1} = 3$.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>5.73±0.25 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>7.8<sup>+6.7</sup><sub>-2.7</sub></td><td>2.7k</td><td>1 ABRAMOWICZ13</td><td>ZEUS</td><td>0</td><td>e<sup>±</sup>ρ → D<sup>(*)</sup>+π<sup>-</sup>X</td></tr><tr><td>5.72±0.25</td><td>103k</td><td>DEL-AMO-SA...10P</td><td>BABR</td><td>0</td><td>e<sup>±</sup>e<sup>-</sup> → D<sup>*+</sup>+π<sup>-</sup>X</td></tr><tr><td>5.9<sup>+3.0</sup><sub>-1.7</sub></td><td>2.4+1.0</td><td>CHEKANOV</td><td>09</td><td>ZEUS</td><td>0</td><td>e<sup>±</sup>ρ → D<sup>*+</sup>+π<sup>-</sup>X</td></tr><tr><td>3.30±0.48</td><td>210k</td><td>2 AAIJ</td><td>13CC</td><td>LHCB</td><td>0</td><td>ρρ → D<sup>*+</sup>π<sup>-</sup>X</td></tr><tr><td>3.8±0.6±0.8</td><td></td><td>3 AUBERT</td><td>09Y</td><td>BABR</td><td>0</td><td>B<sup>+</sup> → D<sup>0</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td></tr><tr><td>3.8±0.6±0.8</td><td></td><td>3 AUBERT</td><td>09Y</td><td>BABR</td><td>+</td><td>B<sup>0</sup> → D<sup>-1</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td></tr><tr><td>2.74<sup>+1.40</sup><sub>-0.93</sub></td><td></td><td>4 AVERY</td><td>94C</td><td>CLE2</td><td>0</td><td>e<sup>±</sup>e<sup>-</sup> → D<sup>*+</sup>+π<sup>-</sup>X</td></tr></tbody></table>

¹From the combined fit of the $M(D^+\pi^-)$ and $M(D^{*+}\pi^-)$ distributions. and $A_{D_2}$ fixed to the theoretical prediction of -1. A pure D-wave not excluded although some S-wave mixing possible.

²Systematic uncertainty not estimated. Resonance parameters fixed.

³Assuming $\Gamma(\Upsilon(4S) \to B^+B^-) / \Gamma(\Upsilon(4S) \to B^0B^0) = 1.065 \pm 0.026$ and equal partial widths and helicity angles distributions for charged and neutral $D_1$ mesons.

⁴Systematic uncertainties not estimated.

### $D_1(2420)$ REFERENCES

<table><tbody><tr><td>AAIJ</td><td>20D</td><td>PR D101 032005</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABLIKIM</td><td>20P</td><td>PL B804 135395</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>AAIJ</td><td>13CC</td><td>JHEP 1309 145</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABRAMOWICZ</td><td>13</td><td>NP B866 229</td><td>H. Abramowicz et al.</td><td>(ZEUS Collab.)</td></tr><tr><td>DEL-AMO-SA...10P</td><td>PR D82 111101</td><td>P. del Amo Sanchez et al.</td><td>(BABAR Collab.)</td><td></td></tr><tr><td>AUBERT</td><td>09Y</td><td>PRL 103 051803</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>CHEKANOV</td><td>09</td><td>EPJ C60 25</td><td>S. Chekanov et al.</td><td>(ZEUS Collab.)</td></tr><tr><td>ABULENCIA</td><td>06A</td><td>PR D73 051104</td><td>A. Abulencia et al.</td><td>(CDF Collab.)</td></tr><tr><td>ABE</td><td>05A</td><td>PR 94 221805</td><td>K. Abe et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ABE</td><td>04D</td><td>PR D69 112002</td><td>K. Abe et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ABREU</td><td>98M</td><td>PL B426 231</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>ACKERSTAFF</td><td>97W</td><td>ZPHY C76 425</td><td>K. Ackerstaff et al.</td><td>(OPAL Collab.)</td></tr><tr><td>EVERY</td><td>94C</td><td>PL B331 236</td><td>P. Avery et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BERGFELD</td><td>94B</td><td>PL B340 194</td><td>T. Bergfeld et al.</td><td>(CLEO Collab.)</td></tr><tr><td>FRABETTI</td><td>94B</td><td>PRL 72 324</td><td>P.L. Frabetti et al.</td><td>(FNAL E687 Collab.)</td></tr><tr><td>EVERY</td><td>90</td><td>PR D41 774</td><td>P. Avery, D. Besson</td><td>(CLEO Collab.)</td></tr><tr><td>ALBRECHT</td><td>89H</td><td>PL B232 398</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.) JP</td></tr><tr><td>ANJOS</td><td>89C</td><td>PRL 62 1717</td><td>J.C. Anjos et al.</td><td>(FNAL E691 Collab.)</td></tr></tbody></table>

$D_1(2430)^0$

$I(J^P) = \frac{1}{2}(1^+)$

$J^P = 1^+$ determined by AAIJ 20D.

### $D_1(2430)^0$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>2412±9 OUR AVERAGE</strong></td></tr><tr><td>2411±3±9</td><td>79k</td><td>1 AAIJ</td><td>20D</td><td>LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>+π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2427±26±25</td><td></td><td>ABE</td><td>04D</td><td>BELL</td><td>B<sup>-</sup> → D<sup>*+</sup>+π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2477±28</td><td></td><td>2 AUBERT</td><td>06L</td><td>BABR</td><td>B<sup>0</sup> → D<sup>*+</sup>+ωπ<sup>-</sup></td></tr></tbody></table>

¹From a full four-body amplitude analysis of the $B^- \to D^{*+} \pi^- \pi^-$ decay.

²Systematic errors not estimated.
$D_1(2430)^0$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>314 ± 29 OUR AVERAGE</strong></td></tr><tr><td>309 ± 9 ± 28</td><td>79k</td><td>1 AAIJ</td><td>20D LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>384<sup>+107</sup><sub>-75</sub> ± 74</td><td></td><td>ABE</td><td>04D BELL</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>266 ± 97</td><td></td><td>2 AUBERT</td><td>06L BABR</td><td>B<sup>0</sup> → D<sup>*+</sup>ωπ<sup>-</sup></td></tr></tbody></table>

$D_1(2430)^0$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> D<sup>*</sup>(2010)<sup>+</sup>π<sup>-</sup></td><td>seen</td></tr></tbody></table>

$D_1(2430)^0$ REFERENCES

<table><tr><td>AAIJ</td><td>20D PR D101 032005</td><td>R. Aaij et al.</td><td>(LHCb Collab.) JP</td></tr><tr><td>AUBERT</td><td>06L PR D74 012001</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ABE</td><td>04D PR D69 112002</td><td>K. Abe et al.</td><td>(BELLE Collab.)</td></tr></table>

$D_2^*(2460)$

$I(J^P) = \frac{1}{2}(2^+)$

$D_2^*(2460)$ MASS

The fit includes $D^{\pm}, D^{0}, D_{S}^{\pm}, D^{*\pm}, D^{*0}, D_{S}^{*\pm}, D_{1}(2420)^{0}, D_{2}^{*}(2460)^{0}$, and $D_{S1}(2536)^{\pm}$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>2461.1 ± 0.8 OUR FIT</strong></td><td>Error includes scale factor of 6.3.</td><td></td><td></td><td></td><td></td></tr><tr><td><strong>2461.1 ± 0.7 OUR AVERAGE</strong></td><td>Error includes scale factor of 5.2.</td><td></td><td></td><td></td><td>See the ideogram below.</td></tr><tr><td>2463.7 ± 0.4 ± 0.7</td><td>28k</td><td>1 AAIJ</td><td>16AH LHCB</td><td>0</td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2464.0 ± 1.4 ± 0.5</td><td>2k</td><td>2 AAIJ</td><td>15V LHCB</td><td>0</td><td>B<sup>-</sup> → D<sup>+</sup>K<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2465.6 ± 1.8 ± 1.3</td><td></td><td>3 AAIJ</td><td>15V LHCB</td><td>+</td><td>B<sup>0</sup> → D<sup>0</sup>K<sup>+</sup>π<sup>-</sup></td></tr><tr><td>2468.6 ± 0.6 ± 0.3</td><td></td><td>4 AAIJ</td><td>15V LHCB</td><td>+</td><td>B<sup>0</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>2460.4 ± 0.4 ± 1.2</td><td>82k</td><td>AAIJ</td><td>13CC LHCB</td><td>0</td><td>p p → D<sup>*+</sup>π<sup>-</sup>X</td></tr><tr><td>2460.4 ± 0.1 ± 0.1</td><td>675k</td><td>AAIJ</td><td>13CC LHCB</td><td>0</td><td>p p → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2463.1 ± 0.2 ± 0.6</td><td>342k</td><td>AAIJ</td><td>13CC LHCB</td><td>+</td><td>p p → D<sup>0</sup>π<sup>+</sup>X</td></tr><tr><td>2462.5 ± 2.4<sup>+1.3</sup><sub>-1.1</sub></td><td>2.3k</td><td></td><td></td><td></td><td>e<sup>±</sup> p → D<sup>(*)</sup>π<sup>-</sup>X</td></tr><tr><td>2460.6 ± 4.4<sup>+3.6</sup><sub>-0.8</sub></td><td>1371</td><td></td><td></td><td></td><td>e<sup>±</sup> p → D<sup>(*)</sup>0π<sup>+</sup>X</td></tr><tr><td>2462.2 ± 0.1 ± 0.8</td><td>243k</td><td></td><td></td><td></td><td>e<sup>+</sup> e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2465.4 ± 0.2 ± 1.1</td><td>111k</td><td></td><td></td><td></td><td>e<sup>+</sup> e<sup>-</sup> → D<sup>0</sup>π<sup>+</sup>X</td></tr><tr><td>2464.0 ± 1.2 ± 2.2</td><td>3.4k</td><td>AUBERT</td><td>09AB BABR</td><td>+</td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2465.7 ± 1.8<sup>+1.4</sup><sub>-4.8</sub></td><td>2909</td><td>KUZMIN</td><td>07 BELL</td><td>+</td><td>e<sup>+</sup> e<sup>-</sup> → hadrons</td></tr><tr><td>2461.6 ± 2.1 ± 3.3</td><td></td><td></td><td></td><td></td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2464.5 ± 1.1 ± 1.9</td><td>5.8k</td><td></td><td></td><td></td><td>γ A</td></tr><tr><td>2465 ± 3 ± 3</td><td>486</td><td>AAIJ</td><td>15Y LHCB</td><td>+</td><td>B<sup>0</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>2463 ± 3 ± 3</td><td>310</td><td>ABERGELD</td><td>94B CLE2</td><td>+</td><td>e<sup>+</sup> e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2453 ± 3 ± 2</td><td>128</td><td>FRABETTI</td><td>94B E687</td><td>0</td><td>γ Be → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2453 ± 3 ± 2</td><td>185</td><td>FRABETTI</td><td>94B E687</td><td>+</td><td>γ Be → D<sup>0</sup>π<sup>+</sup>X</td></tr><tr><td>2461 ± 3 ± 1</td><td>440</td><td>ABERGELD</td><td>90 CLEO</td><td>+</td><td>e<sup>+</sup> e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2455 ± 3 ± 5</td><td>337</td><td>ALBRECHT</td><td>89B ARG</td><td>0</td><td>e<sup>+</sup> e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2469 ± 4 ± 6</td><td></td><td>ALBRECHT</td><td>89F ARG</td><td>+</td><td>e<sup>+</sup> e<sup>-</sup> → D<sup>0</sup>π<sup>+</sup>X</td></tr><tr><td>2459 ± 3 ± 2</td><td>153</td><td>ANJOS</td><td>89C TPS</td><td>0</td><td>γ N → D<sup>+</sup>π<sup>-</sup>X</td></tr></tbody></table>

<table><tr><td>2468.1 ± 0.6 ± 0.5</td><td></td><td>9 AAIJ</td><td>15Y LHCB</td><td>+</td><td>B<sup>0</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>2469.1 ± 3.7<sup>+1.2</sup><sub>-1.3</sub></td><td>1.5k</td><td>10 CHEKANOV</td><td>09 ZEUS</td><td>0</td><td>e<sup>±</sup> p → D<sup>(*)</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>2463.3 ± 0.6 ± 0.8</td><td>20k</td><td>ABULENCIA</td><td>06A CDF</td><td>0</td><td>1900 p p → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>2467.6 ± 1.5 ± 0.8</td><td>3.5k</td><td>11 LINK</td><td>04A FOCS</td><td>+</td><td>γ A</td></tr><tr><td>2461 ± 6</td><td>126</td><td>12 ABREU</td><td>98M DLPH</td><td>0</td><td>e<sup>+</sup> e<sup>-</sup></td></tr><tr><td>2466 ± 7</td><td>1</td><td>ASRATYAN</td><td>95 BEBC</td><td>0</td><td>53,40 ν(π̄) → pX, dX</td></tr></table>

WEIGHTED AVERAGE
2461.1±0.7 (Error scaled by 5.2)

<figure><img src="image_555.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.

$D_2^*(2460)$ mass (MeV)

$m_{D_2^*(2460)^0} - m_{D^+}$

The fit includes $D^{\pm}, D^{0}, D_{S}^{\pm}, D^{*\pm}, D^{*0}, D_{S}^{*\pm}, D_{1}(2420)^{0}, D_{2}^{*}(2460)^{0}$, and $D_{S1}(2536)^{\pm}$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>591.5 ± 0.8 OUR FIT</strong></td><td>Error includes scale factor of 6.0.</td><td></td><td></td><td></td></tr><tr><td><strong>593.9 ± 0.6 ± 0.5</strong></td><td>20k</td><td>ABULENCIA</td><td>06A CDF</td><td>1960 p p&#773; → D<sup>+</sup>π<sup>-</sup>X</td></tr></tbody></table>

$m_{D_2^*(2460)^0} - m_{D^{*+}}$

The fit includes $D^{\pm}, D^{0}, D_{S}^{\pm}, D^{*\pm}, D^{*0}, D_{S}^{*\pm}, D_{1}(2420)^{0}, D_{2}^{*}(2460)^{0}$, and $D_{S1}(2536)^{\pm}$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>450.9 ± 0.8 OUR FIT</strong></td><td>Error includes scale factor of 6.0.</td><td></td><td></td><td></td></tr><tr><td><strong>458.8 ± 3.7<sup>+1.2</sup><sub>-1.3</sub></strong></td><td>1.5k</td><td>CHEKANOV</td><td>09 ZEUS</td><td>e<sup>±</sup> p → D<sup>(*)</sup>π<sup>-</sup>X</td></tr></tbody></table>

$m_{D_2^*(2460)^0} - m_{D_2^*(2460)^0}$

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>2.4 ± 1.7 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>3.1 ± 1.9 ± 0.9</td><td></td><td>LINK</td><td>04A FOCS</td><td>γ A</td></tr><tr><td>- 2 ± 4 ± 4</td><td></td><td>BERGFELD</td><td>94B CLE2</td><td>e<sup>+</sup> e<sup>-</sup> → hadrons</td></tr><tr><td>0 ± 4</td><td></td><td>FRABETTI</td><td>94B E687</td><td>γ Be → DπX</td></tr><tr><td>14 ± 5 ± 8</td><td></td><td>ALBRECHT</td><td>89F ARG</td><td>e<sup>+</sup> e<sup>-</sup> → D<sup>0</sup>π<sup>+</sup>X</td></tr></tbody></table>

$D_2^*(2460)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>47.3 ± 0.8 OUR AVERAGE</strong></td><td>Error includes scale factor of 1.5.</td><td></td><td></td><td></td><td></td></tr><tr><td>47.0 ± 0.8 ± 1.0</td><td>28k</td><td>1 AAIJ</td><td>16AH LHCB</td><td>0</td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>43.8 ± 2.9 ± 1.8</td><td>2k</td><td>2 AAIJ</td><td>15V LHCB</td><td>0</td><td>B<sup>-</sup> → D<sup>+</sup>K<sup>-</sup>π<sup>-</sup></td></tr></tbody></table>

<footnote n="1">¹From a full four-body amplitude analysis of the $B^{-} \to D^{*+}\pi^{-}\pi^{-}$ decay.</footnote>

<footnote n="2">²Systematic errors not estimated.</footnote>

<footnote>• • • We do not use the following data for averages, fits, limits, etc. • • •</footnote>

<footnote n="1">¹From the amplitude analysis in the model describing the $D^{+}\pi^{-}$ wave together with virtual contributions from the $D^{*}(2007)^{0}$ and $B^{*0}$ states, and components corresponding to the $D_{2}^{*}(2460)^{0}, D_{1}^{*}(2680)^{0}, D_{3}^{*}(2760)^{0}$, and $D_{2}^{*}(3000)^{0}$ resonances.</footnote>

<footnote n="2">²From the amplitude analysis in the model describing the $D^{+}\pi^{-}$ wave together with virtual contributions from the $D^{*}(2007)^{0}$ and $B^{*0}$ states, nonresonant spin-0 and spin-1 components as well as the $D_{0}^{0}(2400)^{0}, D_{2}^{*}(2460)^{0}$ and $D_{1}^{*}(2760)^{0}$ resonances.</footnote>

<footnote n="3">³From the Dalitz plot analysis including various $K^{*}$ and $D^{**}$ mesons as well as broad structures in the $K\pi$ S-wave and the $D\pi$ S- and P-waves.</footnote>

<footnote n="4">⁴Modeling the $\pi^{+}\pi^{-}$ S-wave with the Isobar formalism.</footnote>

<footnote n="5">⁵From the combined fit of the $M(D^{+}\pi^{-})$ and $M(D^{*+}\pi^{-})$ distributions, and $A_{D_2}$ fixed to the theoretical prediction of -1.</footnote>

<footnote n="6">⁶From the fit of the $M(D^{0}\pi^{+})$ distribution. The widths of the $D_{1}^{+}$ and $D_{2}^{+}$ are fixed to 25 MeV and 37 MeV, and $A_{D_1}$ and $A_{D_2}$ are fixed to the theoretical predictions of 3 and -1, respectively.</footnote>

<footnote n="7">⁷At a fixed width of 50.5 MeV.</footnote>

<footnote n="8">⁸Fit includes the contribution from $D_{0}^{*}(2400)^{0}$.</footnote>

<footnote n="9">⁹Modeling the $\pi^{+}\pi^{-}$ S-wave with the K-matrix formalism.</footnote>

<footnote n="10">¹⁰Calculated using the mass difference $m(D_{2}^{*0}) - m(D^{*+})_{PDG}$ reported below and $m(D^{*+})_{PDG} = 2010.27 \pm 0.17$ MeV. The 0.17 MeV uncertainty of the PDG mass value should be added to the experimental uncertainty of $\frac{+1.2}{-1.3}$ MeV.</footnote>

<footnote n="11">¹¹Fit includes the contribution from $D_{0}^{*}(2400)^{\pm}$. Not independent of the corresponding mass difference measurement, $(m_{D_{2}^{*}(2460)^{\pm}} - (m_{D_{2}^{*}(2460)^{0}})$.</footnote>

<footnote n="12">¹²No systematic error given.</footnote>
<table><tbody><tr><td>46.0 ± 3.4 ± 3.2</td><td>3</td><td>AAIJ</td><td>15X LHCB +</td><td>B<sup>0</sup> → D<sup>0</sup> K<sup>+</sup>π<sup>-</sup></td></tr><tr><td>47.3 ± 1.5 ± 0.7</td><td>4</td><td>AAIJ</td><td>15Y LHCB +</td><td>B<sup>0</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>43.2 ± 1.2 ± 3.0</td><td>82k</td><td>AAIJ</td><td>13CC LHCB 0</td><td>pp → D<sup>+</sup>+π<sup>-</sup>X</td></tr><tr><td>45.6 ± 0.4 ± 1.1</td><td>675k</td><td>AAIJ</td><td>13CC LHCB 0</td><td>pp → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>48.6 ± 1.3 ± 1.9</td><td>342k</td><td>AAIJ</td><td>13CC LHCB +</td><td>pp → D<sup>0</sup>π<sup>+</sup>X</td></tr><tr><td>46.6 ± 8.1<sup>+5.9</sup><sub>-3.8</sub></td><td>2.3k</td><td>5</td><td>ABRAMOWICZ13 ZEUS 0</td><td>e<sup>±</sup> p → D<sup>(*)</sup>+π<sup>-</sup>X</td></tr><tr><td>50.5 ± 0.6 ± 0.7</td><td>243k</td><td>DEL-AMO-SA..10P</td><td>BABR 0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>41.8 ± 2.5 ± 2.9</td><td>3.4k</td><td>AUBERT</td><td>09AB BABR 0</td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>49.7 ± 3.8 ± 6.4</td><td>2909</td><td>KUZMIN</td><td>07 BELL +</td><td>e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr><tr><td>49.2 ± 2.3 ± 1.3</td><td>20k</td><td>ABULENCIA</td><td>06A CDF 0</td><td>1900 p<span style="text-decoration: overline">p</span> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>45.6 ± 4.4 ± 6.7</td><td>6</td><td>ABE</td><td>04D BELL 0</td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>38.7 ± 5.3 ± 2.9</td><td>5.8k</td><td>6</td><td>LINK</td><td>γ A</td></tr><tr><td>34.1 ± 6.5 ± 4.2</td><td>3.5k</td><td>7</td><td>LINK</td><td>γ A</td></tr><tr><td>28 <sup>+8</sup><sub>-7</sub> ± 6</td><td>486</td><td>AVERY</td><td>94C CLE2 0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>27 <sup>+11</sup><sub>-8</sub> ± 5</td><td>310</td><td>BERGFELD</td><td>94B CLE2 +</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup>π<sup>+</sup>X</td></tr><tr><td>25 ± 10 ± 5</td><td>128</td><td>FRABETTI</td><td>94B E687 0</td><td>γ Be → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>23 ± 9 ± 5</td><td>185</td><td>FRABETTI</td><td>94B E687 +</td><td>γ Be → D<sup>0</sup>π<sup>+</sup>X</td></tr><tr><td>20 <sup>+9</sup><sub>-12</sub> ± <sup>+9</sup><sub>-10</sub></td><td>440</td><td>AVERY</td><td>90 CLEO 0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>15 <sup>+13</sup><sub>-10</sub> ± <sup>+5</sup><sub>-10</sub></td><td>337</td><td>ALBRECHT</td><td>89B ARG 0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>20 ± 10 ± 5</td><td>153</td><td>ANJOS</td><td>89C TPS 0</td><td>γ N → D<sup>+</sup>π<sup>-</sup>X</td></tr></tbody></table>

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

<table><tr><td>46.0 ± 1.4 ± 1.8</td><td>8</td><td>AAIJ</td><td>15Y LHCB +</td><td>B<sup>0</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td></tr></table>

¹ From the amplitude analysis in the model describing the $D^+\pi^-$ wave together with virtual contributions from the $D^*(2007)0$ and $B^*0$ states, and components corresponding to the $D_2^*(2460)0$, $D_1^*(2680)0$, $D_3^*(2760)0$, and $D_2^*(3000)0$ resonances.

² From the amplitude analysis in the model describing the $D^+\pi^-$ wave together with virtual contributions from the $D^*(2007)0$ and $B^*0$ states, nonresonant spin-0 and spin-1 components as well as the $D_0^*(2400)0$, $D_2^*(2460)0$ and $D_1^*(2760)0$ resonances.

³ From the Dalitz plot analysis including various $K^*$ and $D^{**}$ mesons as well as broad structures in the $K\pi$ S-wave and the $D\pi$ S- and P-waves.

⁴ Modeling the $\pi^+\pi^-$ S-wave with the Isobar formalism.

⁵ From the combined fit of the $M(D^+\pi^-)$ and $M(D^{**+\pi^-})$ distributions, and $A_{D_2}$ fixed to the theoretical prediction of -1.

⁶ Fit includes the contribution from $D_0^*(2400)0$.

⁷ Fit includes the contribution from $D_0^*(2400)\pm$.

⁸ Modeling the $\pi^+\pi^-$ S-wave with the K-matrix formalism.

<figure><img src="image_556.png" /><figcaption>WEIGHTED AVERAGE
47.3±0.8 (Error scaled by 1.5)</figcaption></figure>

$D_2^*(2460)$ DECAY MODES

$\bar{D}_2^*(2460)$ modes are charge conjugates of modes below.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> D<sup>-</sup>π<sup>-</sup></td><td>seen</td></tr><tr><td>Γ<sub>2</sub> D<sup>*(2010)</sup>π<sup>-</sup></td><td>seen</td></tr><tr><td>Γ<sub>3</sub> D<sup>π+</sup>π<sup>-</sup></td><td></td></tr><tr><td>Γ<sub>4</sub> D<sup>*(π<sup>+</sup>π<sup>-</sup>)</td><td></td></tr></tbody></table>

$D_2^*(2460)$ BRANCHING RATIOS

<table><caption>Γ(Dπ<sup>-</sup>)/Γ<sub>total</sub></caption><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>3.4k</td><td>AUBERT</td><td>09AB BABR 0</td><td></td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>seen</td><td>337</td><td>ALBRECHT</td><td>89b ARG 0</td><td></td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>seen</td><td></td><td>ALBRECHT</td><td>89f ARG +</td><td></td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup>π<sup>+</sup>X</td></tr><tr><td>seen</td><td></td><td>ANJOS</td><td>89c TPS 0</td><td></td><td>γN → D<sup>+</sup>π<sup>-</sup>X</td></tr></tbody></table>

<table><caption>Γ(D*(2010)π<sup>-</sup>)/Γ<sub>total</sub></caption><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td></td><td>ACKERSTAFF</td><td>97W</td><td>OPAL 0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>+π<sup>-</sup>X</td></tr><tr><td>seen</td><td></td><td>AVERY</td><td>90</td><td>CLEO 0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>+π<sup>-</sup>X</td></tr><tr><td>seen</td><td></td><td>ALBRECHT</td><td>89H</td><td>ARG 0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*</sup>π<sup>-</sup>X</td></tr></tbody></table>

<table><caption>Γ(Dπ<sup>-</sup>)/Γ(D*(2010)π<sup>-</sup>)</caption><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>1.52±0.14</strong> OUR AVERAGE</td></tr><tr><td>1.4 ± 0.3 ± 0.3</td><td>2.3k</td><td>1</td><td>ABRAMOWICZ13</td><td>ZEUS 0</td><td>e<sup>±</sup> p → D<sup>(*)</sup>+π<sup>-</sup>X</td></tr><tr><td>1.1 ± 0.4 <sup>+0.3</sup><sub>-0.2</sub></td><td>1371</td><td>2</td><td>ABRAMOWICZ13</td><td>ZEUS +</td><td>e<sup>±</sup> p → D<sup>(*)</sup>0π<sup>+</sup>X</td></tr><tr><td>1.47±0.03±0.16</td><td>379k</td><td>3</td><td>DEL-AMO-SA..10P</td><td>BABR 0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>(*)</sup>+π<sup>-</sup>X</td></tr><tr><td>2.8 ± 0.8 <sup>+0.5</sup><sub>-0.6</sub></td><td>1.5k</td><td>4</td><td>CHEKANOV</td><td>09</td><td>e<sup>±</sup> p → D<sup>(*)</sup>+π<sup>-</sup>X</td></tr><tr><td>2.2 ± 0.7 ± 0.6</td><td></td><td>5</td><td>AVERY</td><td>94C</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>1.9 ± 1.1 ± 0.3</td><td></td><td>6</td><td>BERGFELD</td><td>94B</td><td>e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr><tr><td>2.3 ± 0.8</td><td></td><td>7</td><td>AVERY</td><td>90</td><td>e<sup>+</sup>e<sup>-</sup></td></tr><tr><td>3.0 ± 1.1 ± 1.5</td><td></td><td>8</td><td>ALBRECHT</td><td>89H</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*</sup>π<sup>-</sup>X</td></tr></tbody></table>

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

<table><tr><td>1.9 ± 0.5</td><td>ABE</td><td>04D BELL 0</td><td>B<sup>-</sup> → D<sup>(*)</sup>+π<sup>-</sup>π<sup>-</sup></td></tr></table>

¹ From the combined fit of the $M(D^+\pi^-)$ and $M(D^{**+\pi^-})$ distributions, and $A_{D_2}$ fixed to the theoretical prediction of -1.

² From the fit of the $M(D^0\pi^+)$ distribution. The widths of the $D_1^+$ and $D_2^+$ are fixed to 25 MeV and 37 MeV, and $A_{D_1}$ and $A_{D_2}$ are fixed to the theoretical predictions of 3 and -1, respectively.

<table><caption>Γ(Dπ<sup>-</sup>)/[Γ(Dπ<sup>-</sup>) + Γ(D*(2010)π<sup>-</sup>)]</caption><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.62±0.03±0.02</td><td>8414</td><td>1</td><td>AUBERT</td><td>09Y BABR 0</td><td>B<sup>+</sup> → D<sup>0</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td></tr><tr><td>0.62±0.03±0.02</td><td>3361</td><td>1</td><td>AUBERT</td><td>09Y BABR +</td><td>B<sup>0</sup> → D<sup>2</sup><sub>2</sub><sup>+</sup>ℓ<sup>-</sup>ν<sub>ℓ</sub></td></tr></tbody></table>

¹ Assuming $\Gamma(\Upsilon(4S) \rightarrow B^{+}B^{-}) / \Gamma(\Upsilon(4S) \rightarrow B^{0}\bar{B}^{0}) = 1.065 \pm 0.026$ and equal partial widths for charged and neutral $D_2^*$ mesons.

$D_2^*(2460)$ POLARIZATION AMPLITUDE $A_{D_2}$

A polarization amplitude $A_{D_2}$ is a parameter that depends on the initial polarization of the $D_2$. For $\bar{D}_2$ decays the helicity angle, $\theta_H$, distribution varies like $1 + A_{D_2} \cos^2(\theta_H)$, where $\theta_H$ is the angle in the $D^*$ rest frame between the two pions emitted by the $D_2 \rightarrow D^*\pi$ and $D^* \rightarrow D\pi$.

<table><caption>Γ<sub>f</sub> / Γ<sub>f</sub> = Γ(Dπ<sup>-</sup>) / [Γ(Dπ<sup>-</sup>) + Γ(D*(2010)π<sup>-</sup>)]</caption><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-1.16±0.35</td><td>2.3k</td><td>1</td><td>ABRAMOWICZ13</td><td>ZEUS 0</td><td>e<sup>±</sup> p → D<sup>(*)</sup>+π<sup>-</sup>X</td></tr><tr><td>consistent with -1</td><td>243k</td><td>1</td><td>DEL-AMO-SA..10P</td><td>BABR 0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr><tr><td>-0.74<sup>+0.49</sup><sub>-0.38</sub></td><td></td><td>2</td><td>AVERY</td><td>94C</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td></tr></tbody></table>

¹ From the combined fit of the $M(D^+\pi^-)$ and $M(D^{**+\pi^-})$ distributions.

² Systematic uncertainties not estimated.

$D_2^*(2460)$ REFERENCES

<table><tbody><tr><td>AAIJ</td><td>16AH PR D94 072001</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>15V PR D91 092001</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>PR D93 119901 (errat.)</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>15X PR D92 012012</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>15Y PR D92 032002</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>13CC JHEP 1309 145</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABRAMOWICZ 13</td><td>NP B866 229</td><td>H. Abramowicz et al.</td><td>(LHCb Collab.)</td></tr><tr><td>DEL-AMO-SA..10P</td><td>PR D82 111101</td><td>P. del Amo Sanchez et al.</td><td>(BABAR Collab.)</td></tr><tr><td>09AB PR D79 112004</td><td></td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>AUBERT</td><td>09Y PRL 103 051803</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>CHEKANOV</td><td>09 EPJ C60 25</td><td>S. Chekanov et al.</td><td>(ZEUS Collab.)</td></tr><tr><td>KUZMIN</td><td>07 PR D76 012006</td><td>A. Kuzmin et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ABULENCIA</td><td>06A PR D73 051104</td><td>A. Abulencia et al.</td><td>(CDF Collab.)</td></tr><tr><td>ABE</td><td>04D PR D69 112002</td><td>K. Abe et al.</td><td>(BELLE Collab.)</td></tr><tr><td>LINK</td><td>04A PL B586 11</td><td>J.M. Link et al.</td><td>(FOCUS Collab.)</td></tr><tr><td>ABREU</td><td>98M PL B426 231</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>ACKERSTAFF</td><td>97W ZPHY C76 425</td><td>K. Ackerstaff et al.</td><td>(OPAL Collab.)</td></tr><tr><td>ASRATYAN</td><td>95 ZPHY C68 43</td><td>A.E. Asratyan et al.</td><td>(BIRM, BELG, CERN+)</td></tr><tr><td>ABEY</td><td>43C PL B331 236</td><td>P. Avery et al.</td><td>(CLEO Collab.)</td></tr><tr><td>BERGFELD</td><td>94B PL B340 194</td><td>T. Bergfeld et al.</td><td>(CLEO Collab.)</td></tr><tr><td>FRABETTI</td><td>94B PL R72 324</td><td>P.L. Frabetti et al.</td><td>(FNAL E687 Collab.)</td></tr><tr><td>AVERY</td><td>90 PR D41 774</td><td>P. Avery, D. Besson</td><td>(CLEO Collab.)</td></tr><tr><td>ALBRECHT</td><td>89B PL B221 422</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.) JP</td></tr><tr><td>ALBRECHT</td><td>89F PL B231 208</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.) JP</td></tr><tr><td>ALBRECHT</td><td>89H PL B232 398</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.) JP</td></tr><tr><td>ANJOS</td><td>89C PRL 62 1717</td><td>J.C. Anjos et al.</td><td>(FNAL E691 Collab.)</td></tr></tbody></table>
$$D_0(2550)^0$$

$$I(J^P) = \frac{1}{2}(0^{-})$$

OMITTED FROM SUMMARY TABLE
$J^P = 0^{-}$ determined by AAIJ 20D.

### $D_0(2550)^0$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><b>2549</b> ±19</td><td><b>OUR AVERAGE</b></td><td></td><td></td><td>Error includes scale factor of 4.6. See the ideogram below.</td></tr><tr><td>2518 ± 2 ±7</td><td>79k</td><td>1 AAIJ</td><td>20D LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2579.5 ± 3.4 ±5.5</td><td>60k</td><td>AAIJ</td><td>13CC LHCB</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td></tr><tr><td>2539.4 ± 4.5 ±6.8</td><td>34k</td><td>DEL-AMO-SA..10P</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>X</td></tr></tbody></table>

¹ From a full four-body amplitude analysis of the $B^{-} \to D^{*+} \pi^{-} \pi^{-}$ decay.

WEIGHTED AVERAGE
2549±19 (Error scaled by 4.6)

<figure><img src="image_557.png" /></figure>

### $D_0(2550)^0$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><b>165</b> ±24</td><td><b>OUR AVERAGE</b></td><td></td><td></td><td>Error includes scale factor of 2.0. See the ideogram below.</td></tr><tr><td>199 ± 5 ±17</td><td>79k</td><td>1 AAIJ</td><td>20D LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>177.5 ±17.8 ±46.0</td><td>60k</td><td>AAIJ</td><td>13CC LHCB</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td></tr><tr><td>130 ±12 ±13</td><td>34k</td><td>DEL-AMO-SA..10P</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>X</td></tr></tbody></table>

¹ From a full four-body amplitude analysis of the $B^{-} \to D^{*+} \pi^{-} \pi^{-}$ decay.

WEIGHTED AVERAGE
165±24 (Error scaled by 2.0)

<figure><img src="image_558.png" /></figure>

### $D_0(2550)^0$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> D<sup>*+</sup>π<sup>-</sup></td><td>seen</td></tr></tbody></table>

### $D_0(2550)^0$ POLARIZATION AMPLITUDE $A_{D_J}$

A polarization amplitude $A_{D_J}$ is a parameter that depends on the initial polarization of the $D_J$. For $D_J$ decays the helicity angle, $\theta_H$, distribution varies like $1 + A_{D_J} \cos^2(\theta_H)$, where $\theta_H$ is the angle in the $D_J$ rest frame between the two pions emitted in the $D_J \to D^+\pi$ and $D^+ \to D\pi$ decays.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>4.2±1.3</td><td>60k</td><td>1 AAIJ</td><td>13CC LHCB</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td></tr><tr><td colspan="5">¹ Systematic uncertainty not estimated.</td></tr></tbody></table>

### $D_0(2550)^0$ REFERENCES

<table><tr><td>AAIJ</td><td>20D PR D101 032005</td><td>R. Aaij et al.</td><td>(LHCb Collab.) JP</td></tr><tr><td>AAIJ</td><td>13CC JHEP 1309 145</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>DEL-AMO-SA...10P</td><td>PR D82 111101</td><td>P. del Amo Sanchez et al.</td><td>(BABAR Collab.)</td></tr></table>

$$D_1^*(2600)^0$$

$$I(J^P) = \frac{1}{2}(1^{-})$$

OMITTED FROM SUMMARY TABLE
was $D_J^*(2600)$
$J^P = 1^{-}$ determined by AAIJ 20D.

### $D_1^*(2600)^0$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><b>2627</b> ±10</td><td><b>OUR AVERAGE</b></td><td></td><td></td><td></td><td>Error includes scale factor of 4.4. See the ideogram below.</td></tr><tr><td>2641.9 ± 1.8 ± 4.5</td><td>79k</td><td>1 AAIJ</td><td>20D LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td><td></td></tr><tr><td>2681.1 ± 5.6 ±14.0</td><td>28k</td><td>2 AAIJ</td><td>16AH LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td><td></td></tr><tr><td>2649.2 ± 3.5 ± 3.5</td><td>51k</td><td>AAIJ</td><td>13CC LHCB</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td><td></td></tr><tr><td>2608.7 ± 2.4 ± 2.5</td><td>26k</td><td>DEL-AMO-SA...10P</td><td>BABR</td><td>0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>X</td></tr><tr><td>2621.3 ± 3.7 ± 4.2</td><td>13k</td><td>3 DEL-AMO-SA...10P</td><td>BABR</td><td>+</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup>π<sup>-</sup>X</td></tr></tbody></table>

¹ From a full four-body amplitude analysis of the $B^{-} \to D^{*+} \pi^{-} \pi^{-}$ decay.

² From the amplitude analysis in the model describing the $D^+\pi^-$ wave together with virtual contributions from the $D^*(2007)^0$ and $B^0$ states, and components corresponding to the $D_2^*(2460)^0$, $D_1^*(2680)^0$, $D_3^*(2760)^0$, and $D_2^*(3000)^0$ resonances.

³ At a fixed width of 93 MeV.

WEIGHTED AVERAGE
2627±10 (Error scaled by 4.4)

<figure><img src="image_559.png" /></figure>

### $D_1^*(2600)^0$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><b>141</b> ±23</td><td><b>OUR AVERAGE</b></td><td></td><td></td><td>Error includes scale factor of 2.7. See the ideogram below.</td></tr><tr><td>149 ± 4 ±20</td><td>79k</td><td>1 AAIJ</td><td>20D LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>186.7 ± 8.5 ±11.9</td><td>28k</td><td>2 AAIJ</td><td>16AH LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>140.2 ±17.1 ±18.6</td><td>51k</td><td>AAIJ</td><td>13CC LHCB</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td></tr><tr><td>93 ± 6 ±13</td><td>26k</td><td>DEL-AMO-SA...10P</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>X</td></tr></tbody></table>

¹ From a full four-body amplitude analysis of the $B^{-} \to D^{*+} \pi^{-} \pi^{-}$ decay.

² From the amplitude analysis in the model describing the $D^+\pi^-$ wave together with virtual contributions from the $D^*(2007)^0$ and $B^0$ states, and components corresponding to the $D_2^*(2460)^0$, $D_1^*(2680)^0$, $D_3^*(2760)^0$, and $D_2^*(3000)^0$ resonances.
WEIGHTED AVERAGE
141±23 (Error scaled by 2.7)

<figure><img src="image_560.png" /></figure>

$D_1^*(2600)^0$ DECAY MODES

<table><thead><tr><th></th><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub></td><td>Dπ</td><td>seen</td></tr><tr><td>Γ<sub>2</sub></td><td>D<sup>+</sup>π<sup>-</sup></td><td>seen</td></tr><tr><td>Γ<sub>3</sub></td><td>D<sup>0</sup>π<sup>±</sup></td><td>seen</td></tr><tr><td>Γ<sub>4</sub></td><td>D<sup>*</sup>π</td><td>seen</td></tr><tr><td>Γ<sub>5</sub></td><td>D<sup>*+</sup>π<sup>-</sup></td><td>seen</td></tr></tbody></table>

$D_1^*(2600)^0$ BRANCHING RATIOS

$\Gamma(D^+\pi^-)/\Gamma(D^{*+}\pi^-)$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.32±0.02±0.09</td><td>76k</td><td>DEL-AMO-SA..10P</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> →<br>D<sup>*</sup>+π<sup>-</sup>X</td></tr></tbody></table>

$D_1^*(2600)^0$ REFERENCES

AAIJ 20D PR D101 032005
AAIJ 16AH PR D94 072001
AAIJ 13CC JHEP 1309 145
DEL-AMO-SA... 10P PR D82 111101

R. Aaij et al. (LHCb Collab.) JP
R. Aaij et al. (LHCb Collab.)
R. Aaij et al. (LHCb Collab.)
P. del Amo Sanchez et al. (BABAR Collab.)

$D^*(2640)^\pm$

$I(J^P) = \frac{1}{2}(?^2)$

OMITTED FROM SUMMARY TABLE

Seen in Z decays by ABREU 98M. Not seen by ABBIENDI 01N and CHEKANOV 09. Needs confirmation.

$D^*(2640)^\pm$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2637±2±6</td><td>66 ± 14</td><td>ABREU</td><td>98M</td><td>DLPH e<sup>+</sup>e<sup>-</sup> →<br>D<sup>*</sup>+π<sup>+</sup>π<sup>-</sup>X</td></tr></tbody></table>

$D^*(2640)^\pm$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><15</td><td>95</td><td>ABREU</td><td>98M</td><td>DLPH e<sup>+</sup>e<sup>-</sup> →<br>D<sup>*</sup>+π<sup>+</sup>π<sup>-</sup>X</td></tr></tbody></table>

$D^*(2640)^+$ DECAY MODES

$D^*(2640)^-$ modes are charge conjugates of modes below.

<table><thead><tr><th></th><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub></td><td>D<sup>*</sup>(2010)<sup>+</sup>π<sup>+</sup>π<sup>-</sup></td><td>seen</td></tr></tbody></table>

$D^*(2640)^\pm$ REFERENCES

CHEKANOV 09 EPJ C60 25
ABBIENDI 01N EPJ C20 445
ABREU 98M PL B426 231

S. Chekanov et al. (ZEUS Collab.)
G. Abbiendi et al. (OPAL Collab.)
P. Abreu et al. (DELOPH Collab.)

$D_2(2740)^0$

$I(J^P) = \frac{1}{2}(2^-)$

OMITTED FROM SUMMARY TABLE
was $D(2740)^0$

$J^P = 2^-$ determined by (AAIJ 20D).

$D_2(2740)^0$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><b>2747</b> ±6 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>2751 ±3 ±7</td><td>79k</td><td>1 AAIJ</td><td>20D LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2737.0 ±3.5 ±11.2</td><td>7.7k</td><td>AAIJ</td><td>13CC LHCB</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td></tr></tbody></table>

¹ From a full four-body amplitude analysis of the $B^- \to D^{*+} \pi^- \pi^-$ decay.

$D_2(2740)^0$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><b>88</b> ±19 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>102 ±6 ±26</td><td>79k</td><td>1 AAIJ</td><td>20D LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>73.2 ±13.4 ±25.0</td><td>7.7k</td><td>AAIJ</td><td>13CC LHCB</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td></tr></tbody></table>

¹ From a full four-body amplitude analysis of the $B^- \to D^{*+} \pi^- \pi^-$ decay.

$D_2(2740)^0$ DECAY MODES

<table><thead><tr><th></th><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub></td><td>D<sup>*+</sup>π<sup>-</sup></td><td>seen</td></tr></tbody></table>

$D_2(2740)^0$ POLARIZATION AMPLITUDE $A_{D_j}$

A polarization amplitude $A_{D_j}$ is a parameter that depends on the initial polarization of the $D_j$. For $D_j$ decays the helicity angle, $\theta_H$, distribution varies like $1 + A_{D_j} \cos^2(\theta_H)$, where $\theta_H$ is the angle in the $D_j$ rest frame between the two pions emitted in the $D_j \to D^+\pi$ and $D^+ \to D\pi$ decays.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.1 ± 2.2</td><td>7.7k</td><td>1 AAIJ</td><td>13CC LHCB</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td></tr></tbody></table>

¹ Systematic uncertainty not estimated.

$D_2(2740)^0$ REFERENCES

AAIJ 20D PR D101 032005
AAIJ 13CC JHEP 1309 145
R. Aaij et al. (LHCb Collab.) JP
R. Aaij et al. (LHCb Collab.)

$D_3^*(2750)$

$I(J^P) = \frac{1}{2}(3^-)$

$J^P$ determined by AAIJ 15Y from the Dalitz plot analysis of $B^0 \to D^0\pi^+\pi^-$ decays.

$D_3^*(2750)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><b>2763.1</b> ± 3.2 OUR AVERAGE</td><td></td><td></td><td></td><td></td><td>See the ideogram below.</td></tr><tr><td>2753 ± 4 ± 6</td><td>79k</td><td>1 AAIJ</td><td>20D LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td><td></td></tr><tr><td>2775.5 ± 4.5 ± 6.5</td><td>28k</td><td>2 AAIJ</td><td>16AH LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td><td></td></tr><tr><td>2798 ± 7 ± 7</td><td></td><td>3 AAIJ</td><td>15Y LHCB</td><td>B<sup>0</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td><td></td></tr><tr><td>2761.1 ± 5.1 ± 6.5</td><td>14k</td><td>AAIJ</td><td>13CC LHCB 0</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td><td></td></tr><tr><td>2760.1 ± 1.1 ± 3.7</td><td>56k</td><td>AAIJ</td><td>13CC LHCB 0</td><td>pp → D<sup>+</sup>π<sup>-</sup>X</td><td></td></tr><tr><td>2771.7 ± 1.7 ± 3.8</td><td>20k</td><td>AAIJ</td><td>13CC LHCB +</td><td>pp → D<sup>0</sup>π<sup>+</sup>X</td><td></td></tr><tr><td>2752.4 ± 1.7 ± 2.7</td><td>23.5k</td><td>4 DEL-AMO-SA..10P</td><td>BABR 0</td><td>e<sup>+</sup>e<sup>-</sup> →<br>D<sup>*</sup>+π<sup>-</sup>X</td><td></td></tr><tr><td>2763.3 ± 2.3 ± 2.3</td><td>11.3k</td><td>4 DEL-AMO-SA..10P</td><td>BABR 0</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td><td></td></tr><tr><td>2769.7 ± 3.8 ± 1.5</td><td>5.7k</td><td>4,5 DEL-AMO-SA..10P</td><td>BABR +</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>0</sup>π<sup>+</sup>X</td><td></td></tr></tbody></table>

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

2802 ±11 ±10 6 AAIJ 15Y LHCB B<sup>0</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup>

¹ From a full four-body amplitude analysis of the $B^- \to D^{*+} \pi^- \pi^-$ decay.

² From the amplitude analysis in the model describing the $D^+\pi^-$ wave together with virtual contributions from the $D^*(2007)^0$ and $B^*0$ states, and components corresponding to the $D_2^*(2460)^0$, $D_1^*(2680)^0$, $D_3^*(2760)^0$, and $D_5^*(3000)^0$ resonances.

³ Modeling the $\pi^+\pi^-$ S-wave with the Isobar formalism.

⁴ The states observed in the $D^+$ and $D^+$ final states are not necessarily the same.

⁵ At a fixed width of 60.9 MeV.

⁶ Modeling the $\pi^+\pi^-$ S-wave with the K-matrix formalism.
WEIGHTED AVERAGE
2763.1±3.2 (Error scaled by 2.1)

<figure><img src="image_561.png" /></figure>

$D_3^*(2750)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN.</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><b>66 ± 5</b> OUR AVERAGE</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>66 ±10 ±14</td><td>79k</td><td>1 AAIJ</td><td>20D LHCB</td><td>B<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>π<sup>-</sup></td><td></td></tr><tr><td>95.3 ± 9.6±34.0</td><td>28k</td><td>2 AAIJ</td><td>16AH LHCB</td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td><td></td></tr><tr><td>105 ±18 ±24</td><td></td><td>3 AAIJ</td><td>15Y LHCB</td><td>B<sup>0</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td><td></td></tr><tr><td>74.4 ± 3.4±37.0</td><td>14k</td><td>AAIJ</td><td>13CC LHCB 0</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td><td></td></tr><tr><td>74.4 ± 3.4±19.1</td><td>56k</td><td>AAIJ</td><td>13CC LHCB 0</td><td>pp → D<sup>+</sup>π<sup>-</sup>X</td><td></td></tr><tr><td>66.7 ± 6.6±10.5</td><td>20k</td><td>AAIJ</td><td>13CC LHCB +</td><td>pp → D<sup>0</sup>π<sup>+</sup>X</td><td></td></tr><tr><td>71 ± 6 ±11</td><td>23.5k</td><td>4 DEL-AMO-SA..10P</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>X</td><td></td></tr><tr><td>60.9 ± 5.1 ± 3.6</td><td>11.3k</td><td>4 DEL-AMO-SA..10P</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>X</td><td></td></tr><tr><td>154 ±27 ±16</td><td></td><td>5 AAIJ</td><td>15Y LHCB</td><td>B<sup>0</sup> → D<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td><td></td></tr></tbody></table>

¹ From a full four-body amplitude analysis of the $B^- \to D^{*+} \pi^- \pi^-$ decay.

² From the amplitude analysis in the model describing the $D^+ \pi^- \pi^-$ wave together with virtual contributions from the $D^*(2007)^0$ and $B^*0$ states, and components corresponding to the $D_2^*(2460)^0$, $D_1^*(2680)^0$, $D_3^*(2760)^0$, and $D_2^*(3000)^0$ resonances.

³ Modeling the $\pi^+ \pi^-$ S-wave with the Isobar formalism.

⁴ The states observed in the $D^*\pi$ and $D\pi$ final states are not necessarily the same.

⁵ Modeling the $\pi^+ \pi^-$ S-wave with the K-matrix formalism.

$D_3^*(2750)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Dπ</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> D<sup>+</sup>π<sup>-</sup></td><td>seen</td></tr><tr><td>Γ<sub>3</sub> D<sup>0</sup>π<sup>±</sup></td><td>seen</td></tr><tr><td>Γ<sub>4</sub> D<sup>*</sup>π</td><td>seen</td></tr><tr><td>Γ<sub>5</sub> D<sup>*+</sup>π<sup>-</sup></td><td>seen</td></tr></tbody></table>

$D_3^*(2750)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(D<sup>+</sup>π<sup>-</sup>)/Γ(D<sup>*+</sup>π<sup>-</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN.</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.42±0.05±0.11</td><td>34.8k</td><td>1 DEL-AMO-SA..10P</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>(*)</sup>+π<sup>-</sup>X</td></tr></tbody></table>

¹ The states observed in the $D^*\pi$ and $D\pi$ final states are not necessarily the same.

$D_3^*(2750)$ POLARIZATION AMPLITUDE $A_D$

A polarization amplitude $A_D$ is a parameter that depends on the initial polarization of the $D_3^*(2750)$. For $D_3^*(2750)$ decays the helicity angle, $\theta_H$, distribution varies like $1 + A_D \cos(\theta_H)$, where $\theta_H$ is the angle in the $D^*$ rest frame between the two pions emitted by the $D_3^*(2750) \to D^*\pi$ and $D^* \to D\pi$.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN.</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • •</td><td>We do not use the following data for averages, fits, limits, etc. • • •</td><td></td><td></td><td></td></tr><tr><td>-0.33±0.28</td><td>23.5k</td><td>1 DEL-AMO-SA..10P</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>π<sup>-</sup>X</td></tr></tbody></table>

¹ Systematic uncertainties not estimated. The states observed in the $D^*\pi$ and $D\pi$ final states are not necessarily the same.

$D_3^*(2750)$ REFERENCES

<table><tr><td>AAIJ</td><td>20D PR D101 032005</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>16AH PR D94 072001</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>15V PR D92 032002</td><td>R. Aaij et al.</td><td>(LHCb Collab.) JP</td></tr><tr><td>AAIJ</td><td>13CC JHEP 1309 145</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>DEL-AMO-SA... 10P</td><td>PR D82 111101</td><td>P. del Amo Sanchez et al.</td><td>(BABAR Collab.)</td></tr></table>

$$D_1^*(2760)^0$$

$$I(J^P) = \frac{1}{2}(1^-)$$

OMITTED FROM SUMMARY TABLE

$J^P$ determined by AAIJ 15V from the Dalitz plot analysis of $B^- \to D^+ K^- \pi^-$ decays.

$D_1^*(2760)^0$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN.</th><th>COMMENT</th></tr></thead><tbody><tr><td>2781±19±13</td><td>2k</td><td>1 AAIJ</td><td>15V LHCB</td><td>B<sup>-</sup> → D<sup>+</sup> K<sup>-</sup> π<sup>-</sup></td></tr></tbody></table>

¹ From the amplitude analysis in the model describing the $D^+\pi^-$ wave together with virtual contributions from the $D^*(2007)^0$ and $B^*0$ states, nonresonant spin-0 and spin-1 components as well as the $D_0^*(2400)^0$, $D_2^*(2460)^0$ and $D_1^*(2760)^0$ resonances.

$D_1^*(2760)^0$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN.</th><th>COMMENT</th></tr></thead><tbody><tr><td>177±32±21</td><td>2k</td><td>1 AAIJ</td><td>15V LHCB</td><td>B<sup>-</sup> → D<sup>+</sup> K<sup>-</sup> π<sup>-</sup></td></tr></tbody></table>

¹ From the amplitude analysis in the model describing the $D^+\pi^-$ wave together with virtual contributions from the $D^*(2007)^0$ and $B^*0$ states, nonresonant spin-0 and spin-1 components as well as the $D_0^*(2400)^0$, $D_2^*(2460)^0$ and $D_1^*(2760)^0$ resonances.

$D_1^*(2760)^0$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> D<sup>+</sup>π<sup>-</sup></td><td>seen</td></tr></tbody></table>

$D_1^*(2760)^0$ BRANCHING RATIOS

<table><thead><tr><th>Γ(D<sup>+</sup>π<sup>-</sup>)/Γ<sub>total</sub></th><th>Γ<sub>1</sub>/Γ</th></tr></thead><tbody><tr><td>seen</td><td></td></tr><tr><td></td><td></td></tr></tbody></table>

¹ From the amplitude analysis in the model describing the $D^+\pi^-$ wave together with virtual contributions from the $D^*(2007)^0$ and $B^*0$ states, nonresonant spin-0 and spin-1 components as well as the $D_0^*(2400)^0$, $D_2^*(2460)^0$ and $D_1^*(2760)^0$ resonances.

$D_1^*(2760)^0$ REFERENCES

<table><tr><td>AAIJ</td><td>15V PR D91 092002</td><td>R. Aaij et al.</td><td>(LHCb Collab.) JP</td></tr><tr><td>Also</td><td>PR D93 119901 (errat.)</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr></table>

$$D(3000)^0$$

$$I(J^P) = \frac{1}{2}(?^?)$$

OMITTED FROM SUMMARY TABLE

Both natural- and unnatural-parity components observed depending on the decay mode (AAIJ 13CC).

$D(3000)^0$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN.</th><th>COMMENT</th></tr></thead><tbody><tr><td>3214 ±29 ±49</td><td>28k</td><td>1 AAIJ</td><td>16AH LHCB</td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr><tr><td>2971.8 ± 8.7</td><td>9.5k</td><td>2,3 AAIJ</td><td>13CC LHCB</td><td>pp → D<sup>*+</sup>π<sup>-</sup>X</td></tr><tr><td>3008.1 ± 4.0</td><td>17.6k</td><td>2,4 AAIJ</td><td>13CC LHCB</td><td>pp → D<sup>+</sup>π<sup>-</sup>X</td></tr></tbody></table>

¹ From the amplitude analysis in the model describing the $D^+\pi^-$ wave together with virtual contributions from the $D^*(2007)^0$ and $B^*0$ states, and components corresponding to the $D_2^*(2460)^0$, $D_1^*(2680)^0$, $D_3^*(2760)^0$, and $D_2^*(3000)^0$ resonances.

² Systematic uncertainty not estimated.

³ Unnatural parity preferred.

⁴ Natural parity state. A state $D(3000)^+$ is possibly seen in $D^0\pi^+$ final state.

$D(3000)^0$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN.</th><th>COMMENT</th></tr></thead><tbody><tr><td>186 ±38 ±72</td><td>28k</td><td>5 AAIJ</td><td>16AH LHCB</td><td>B<sup>-</sup> → D<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr></tbody></table>
# Meson Particle Listings

## D(3000)⁰

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

188.1±44.8 9.5k 6,7 AAIJ 13CC LHCB $pp \to D^{*+}\pi^{-}X$

110.5±11.5 17.6k 6,8 AAIJ 13CC LHCB $pp \to D^{+}\pi^{-}X$

⁵ From the amplitude analysis in the model describing the $D^{+}\pi^{-}$ wave together with virtual contributions from the $D^{*}(2007)0$ and $B^{*0}$ states, and components corresponding to the $D_{2}^{*}(2460)0$, $D_{1}^{*}(2680)0$, $D_{3}^{*}(2760)0$, and $D_{2}^{*}(3000)0$ resonances.

⁶ Systematic uncertainty not estimated.

⁷ Unnatural parity preferred.

⁸ Natural parity state. A state $D(3000)^{+}$ is possibly seen in $D^{0}\pi^{+}$ final state.

## D(3000)⁰ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> D<sup>*+</sup>π<sup>-</sup></td><td>seen</td></tr></tbody></table>

## D(3000)⁰ POLARIZATION AMPLITUDE A<sub>DJ</sub>

A polarization amplitude $A_{DJ}$ is a parameter that depends on the initial polarization of the $D_J$. For $D_J$ decays the helicity angle, $\theta_H$, distribution varies like $1 + A_{DJ} \cos^2(\theta_H)$, where $\theta_H$ is the angle in the $D_J$ rest frame between the two pions emitted in the $D_J \to D^*\pi$ and $D^* \to D\pi$ decays.

VALUE EVTS DOCUMENT ID TECN COMMENT

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

1.5±0.9 9.5k ⁹ AAIJ 13CC LHCB $pp \to D^{*+}\pi^{-}X$

⁹ Systematic uncertainty not estimated.

## D(3000)⁰ REFERENCES

AAIJ 16AH PR D94 072001 R. Aaij et al. (LHCb Collab.)

AAIJ 13CC JHEP 1309 145 R. Aaij et al. (LHCb Collab.)
CHARMED, STRANGE MESONS
($C = \pm 1, S = \pm 1$)
(including possibly non-$q\bar{q}$ states)

$D_s^+ = c\bar{s}, D_s^- = \bar{c}s, \text{ similarly for } D_s^*\text{'s}$

$D_s^\pm$

$I(J^P) = 0(0^-)$

The angular distributions of the decays of the $\phi$ and $\bar{K}^*(892)^0$ in the $\phi\pi^+$ and $K^+\bar{K}^*(892)^0$ modes strongly indicate that the spin is zero. The parity given is that expected of a $c\bar{s}$ ground state.

$D_s^\pm$ MASS

The fit includes $D^\pm, D^0, D_s^\pm, D^{*\pm}, D^{*0}, D_s^*\pm, D_1(2420)^0, D_s^*\pm(2460)^0$, and $D_{S1}(2536)^\pm$ mass and mass difference measurements. Measurements of the $D_s^\pm$ mass with an error greater than 10 MeV are omitted from the fit and average. A number of early measurements have been omitted altogether.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>1968.35 ± 0.07 OUR FIT</strong></td></tr><tr><td colspan="5"><strong>1969.0 ± 1.4 OUR AVERAGE</strong></td></tr><tr><td colspan="5">Error includes scale factor of 1.5. See the ideogram below.</td></tr><tr><td>1967.0 ± 1.0 ± 1.0</td><td>54</td><td>BARLAG</td><td>90C</td><td>ACCM π<sup>-</sup> Cu 230 GeV</td></tr><tr><td>1969.3 ± 1.4 ± 1.4</td><td></td><td>ALBRECHT</td><td>88</td><td>ARG e<sup>+</sup>e<sup>-</sup> 9.4-10.6 GeV</td></tr><tr><td>1972.7 ± 1.5 ± 1.0</td><td>21</td><td>BECKER</td><td>87B</td><td>SILI 200 GeV π, K, p</td></tr><tr><td>1972.4 ± 3.7 ± 3.7</td><td>27</td><td>BLAYLOCK</td><td>87</td><td>MRK3 e<sup>+</sup>e<sup>-</sup> 4.14 GeV</td></tr><tr><td>1963 ± 3 ± 3</td><td>30</td><td>DERRICK</td><td>85B</td><td>HRS e<sup>+</sup>e<sup>-</sup> 29 GeV</td></tr><tr><td>1970 ± 5 ± 5</td><td>104</td><td>CHEN</td><td>83C</td><td>CLEO e<sup>+</sup>e<sup>-</sup> 10.5 GeV</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1968.3 ± 0.7 ± 0.7</td><td>290</td><td><sup>1</sup>ANJOS</td><td>88</td><td>E691 Photoproduction</td></tr><tr><td>1980 ± 15</td><td>6</td><td>USHIDA</td><td>86</td><td>EMUL ν wideband</td></tr><tr><td>1973.6 ± 2.6 ± 3.0</td><td>163</td><td>ALBRECHT</td><td>85D</td><td>ARG e<sup>+</sup>e<sup>-</sup> 10 GeV</td></tr><tr><td>1948 ± 28 ± 10</td><td>65</td><td>AIHARA</td><td>84D</td><td>TPC e<sup>+</sup>e<sup>-</sup> 29 GeV</td></tr><tr><td>1975 ± 9 ± 10</td><td>49</td><td>ALTHOFF</td><td>84</td><td>TASS e<sup>+</sup>e<sup>-</sup> 14-25 GeV</td></tr><tr><td>1975 ± 4</td><td>3</td><td>BAILEY</td><td>84</td><td>ACCM hadron+Be → φπ<sup>+</sup>X</td></tr></tbody></table>

¹ANJOS 88 enters the fit via $m_{D_s^\pm} - m_{D_s^-}$ (see below).

<figure><img src="image_562.png" /><figcaption>WEIGHTED AVERAGE
1969.0±1.4 (Error scaled by 1.5)</figcaption></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.

$m_{D_s^\pm} - m_{D_s^-}$

The fit includes $D^\pm, D^0, D_s^\pm, D^{*\pm}, D^{*0}, D_s^*\pm, D_1(2420)^0, D_s^*\pm(2460)^0$, and $D_{S1}(2536)^\pm$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>98.69 ± 0.05 OUR FIT</strong></td></tr><tr><td colspan="5"><strong>98.69 ± 0.05 OUR AVERAGE</strong></td></tr><tr><td>98.68 ± 0.03 ± 0.04</td><td></td><td>AAIJ</td><td>13V</td><td>LHCB D<sub>s</sub><sup>+</sup> → K<sup>+</sup>K<sup>-</sup>π<sup>+</sup></td></tr><tr><td>99.41 ± 0.38 ± 0.21</td><td></td><td>ACOSTA</td><td>03D</td><td>CDF2 p̄p, √s = 1.96 TeV</td></tr><tr><td>98.4 ± 0.1 ± 0.3</td><td>48k</td><td>AUBERT</td><td>02G</td><td>BABR e<sup>+</sup>e<sup>-</sup> ≈ Υ(4S)</td></tr><tr><td>99.5 ± 0.6 ± 0.3</td><td></td><td>BROWN</td><td>94</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> ≈ Υ(4S)</td></tr><tr><td>98.5 ± 1.5</td><td>555</td><td>CHEN</td><td>89</td><td>CLEO e<sup>+</sup>e<sup>-</sup> 10.5 GeV</td></tr><tr><td>99.0 ± 0.8</td><td>290</td><td>ANJOS</td><td>88</td><td>E691 Photoproduction</td></tr></tbody></table>

$D_s^\pm$ MEAN LIFE

Measurements with an error greater than $100 \times 10^{-15} s$ or with fewer than 100 events have been omitted from the Listings.

<table><thead><tr><th>VALUE (10<sup>-15</sup> s)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>501.2 ± 2.2 OUR AVERAGE</strong></td></tr><tr><td colspan="5">Error includes scale factor of 1.3. See the ideogram below.</td></tr><tr><td>499.5 ± 1.7 ± 0.9</td><td>116k</td><td>ADACHI</td><td>23G</td><td>BEL2 D<sub>s</sub><sup>+</sup> → φπ<sup>+</sup></td></tr><tr><td>506.4 ± 3.0 ± 1.7 ± 1.7</td><td></td><td>¹AAIJ</td><td>17AN</td><td>LHCB p̄p at 7, 8 TeV</td></tr><tr><td>507.4 ± 5.5 ± 5.1</td><td>13.6k</td><td>LINK</td><td>05J</td><td>FOCS Φπ<sup>+</sup> and K<sup>*0</sup> K<sup>+</sup></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>472.5 ± 17.2 ± 6.6</td><td>760</td><td>IORI</td><td>01</td><td>SELX 600 GeV Σ<sup>-</sup>, π<sup>-</sup>, p</td></tr><tr><td>518 ± 14 ± 7</td><td>1662</td><td>AITALA</td><td>99</td><td>E791 π<sup>-</sup> nucleus, 500 GeV</td></tr><tr><td>486.3 ± 15.0<sup>+</sup><sub>-5.1</sub></td><td>2167</td><td><sup>2</sup>BONVICINI</td><td>99</td><td>CLE2 e<sup>+</sup>e<sup>-</sup> ≈ γ(4S)</td></tr><tr><td>475 ± 20 ± 7</td><td>900</td><td>FRABETTI</td><td>93F</td><td>E687 γBe, φπ<sup>+</sup></td></tr><tr><td>500 ± 60 ± 30</td><td>104</td><td>FRABETTI</td><td>90</td><td>E687 γBe, φπ<sup>+</sup></td></tr><tr><td>470 ± 40 ± 20</td><td>228</td><td>RAAB</td><td>88</td><td>E691 Photoproduction</td></tr></tbody></table>

¹This AAIJ 17AN value is derived from the difference between the $D_s^-$ and $D^-$ widths. The 3rd uncertainty, $\pm 1.7 \times 10^{-15} s$, arises from the uncertainty of the $D^-$ width.

²BONVICINI 99 obtains $1.19 \pm 0.04$ for the ratio of $D_s^+$ to $D^0$ lifetimes.

<figure><img src="image_563.png" /><figcaption>WEIGHTED AVERAGE
501.2±2.2 (Error scaled by 1.3)</figcaption></figure>

$D_s^\pm$ DECAY MODES

Unless otherwise noted, the branching fractions for modes with a resonance in the final state include all the decay modes of the resonance. $D_s^-$ modes are charge conjugates of the modes below.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th><th>Scale factor/<br>Confidence level</th></tr></thead><tbody><tr><td colspan="3"><strong>Inclusive modes</strong></td></tr><tr><td>Γ<sub>1</sub> e<sup>+</sup>semileptonic</td><td>[a] (6.33 ± 0.15)%</td><td></td></tr><tr><td>Γ<sub>2</sub> π<sup>+</sup> anything</td><td>(119.3 ± 1.4)%</td><td></td></tr><tr><td>Γ<sub>3</sub> π<sup>-</sup> anything</td><td>(43.2 ± 0.9)%</td><td></td></tr><tr><td>Γ<sub>4</sub> π<sup>0</sup> anything</td><td>(123 ± 7)%</td><td></td></tr><tr><td>Γ<sub>5</sub> K<sup>-</sup> anything</td><td>(18.7 ± 0.5)%</td><td></td></tr><tr><td>Γ<sub>6</sub> K<sup>+</sup> anything</td><td>(28.9 ± 0.7)%</td><td></td></tr><tr><td>Γ<sub>7</sub> K<sup>0</sup><sub>S</sub> anything</td><td>(19.0 ± 1.1)%</td><td></td></tr><tr><td>Γ<sub>8</sub> η anything</td><td>[b] (29.9 ± 2.8)%</td><td></td></tr><tr><td>Γ<sub>9</sub> ω anything</td><td>(6.1 ± 1.4)%</td><td></td></tr><tr><td>Γ<sub>10</sub> η' anything</td><td>[c] (10.3 ± 1.4)%</td><td>S=1.1<br>CL=90%</td></tr><tr><td>Γ<sub>11</sub> f<sub>0</sub>(980) anything, f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td><td>&lt; 1.3</td><td>%</td></tr><tr><td>Γ<sub>12</sub> φ anything</td><td>(15.7 ± 1.0)%</td><td></td></tr><tr><td>Γ<sub>13</sub> K<sup>+</sup>K<sup>-</sup> anything</td><td>(15.8 ± 0.7)%</td><td></td></tr><tr><td>Γ<sub>14</sub> K<sup>0</sup><sub>S</sub>K<sup>+</sup> anything</td><td>(5.8 ± 0.5)%</td><td></td></tr><tr><td>Γ<sub>15</sub> K<sup>0</sup><sub>S</sub>K<sup>-</sup> anything</td><td>(1.9 ± 0.4)%</td><td></td></tr><tr><td>Γ<sub>16</sub> 2K<sup>0</sup><sub>S</sub> anything</td><td>(1.70 ± 0.32)%</td><td></td></tr><tr><td>Γ<sub>17</sub> 2K<sup>+</sup> anything</td><td>&lt; 2.6</td><td>× 10<sup>-3</sup></td></tr><tr><td>Γ<sub>18</sub> 2K<sup>-</sup> anything</td><td>&lt; 6</td><td>× 10<sup>-4</sup></td></tr><tr><td>Γ<sub>19</sub> 2π<sup>+</sup>π<sup>-</sup> + anything</td><td>(32.8 ± 0.7)%</td><td></td></tr></tbody></table>

Leptonic and semileptonic modes

<table><tbody><tr><td>Γ<sub>20</sub> e<sup>+</sup>ν<sub>e</sub></td><td>&lt; 8.3</td><td>× 10<sup>-5</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>21</sub> μ<sup>+</sup>ν<sub>μ</sub></td><td>(5.35 ± 0.12)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>22</sub> τ<sup>+</sup>ν<sub>τ</sub></td><td>(5.36 ± 0.10)</td><td>%</td><td></td></tr><tr><td>Γ<sub>23</sub> γe<sup>+</sup>ν<sub>e</sub></td><td>&lt; 1.3</td><td>× 10<sup>-4</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>24</sub> K<sup>+</sup>K<sup>-</sup>e<sup>+</sup>ν<sub>e</sub></td><td></td><td></td><td></td></tr></tbody></table>
Meson Particle Listings

$D_S^{\pm}$

<table>
  <tbody>
    <tr>
      <td>Γ25</td>
      <td>K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td>
      <td>&lt; 3.8</td>
      <td>× 10<sup>-4</sup></td>
      <td>CL=90%</td>
    </tr>
    <tr>
      <td>Γ26</td>
      <td>φe<sup>+</sup> ν<sub>e</sub></td>
      <td>[d]</td>
      <td>( 2.39 ±0.16 ) %</td>
      <td>S=1.3</td>
    </tr>
    <tr>
      <td>Γ27</td>
      <td>K<sub>1</sub>(1270)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td>
      <td>&lt; 4.1</td>
      <td>× 10<sup>-4</sup></td>
      <td>CL=90%</td>
    </tr>
    <tr>
      <td>Γ28</td>
      <td>b<sub>1</sub>(1235)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>, b<sub>1</sub><sup>0</sup> → ωπ<sup>0</sup></td>
      <td>&lt; 6.4</td>
      <td>× 10<sup>-4</sup></td>
      <td>CL=90%</td>
    </tr>
    <tr>
      <td>Γ29</td>
      <td>φμ<sup>+</sup> ν<sub>μ</sub></td>
      <td></td>
      <td>( 2.24 ±0.11 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ30</td>
      <td>ηe<sup>+</sup> ν<sub>e</sub> + η'(958) e<sup>+</sup> ν<sub>e</sub></td>
      <td>[d]</td>
      <td>( 3.03 ±0.24 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ31</td>
      <td>ηe<sup>+</sup> ν<sub>e</sub></td>
      <td>[d]</td>
      <td>( 2.26 ±0.06 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ32</td>
      <td>η'(958) e<sup>+</sup> ν<sub>e</sub></td>
      <td>[d]</td>
      <td>( 8.0 ±0.4 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ33</td>
      <td>ημ<sup>+</sup> ν<sub>μ</sub></td>
      <td></td>
      <td>( 2.4 ±0.5 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ34</td>
      <td>η'(958) μ<sup>+</sup> ν<sub>μ</sub></td>
      <td></td>
      <td>( 1.1 ±0.5 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ35</td>
      <td>ωe<sup>+</sup> ν<sub>e</sub></td>
      <td>[e]</td>
      <td>&lt; 2.0</td>
      <td>× 10<sup>-3</sup></td>
      <td>CL=90%</td>
    </tr>
    <tr>
      <td>Γ36</td>
      <td>K<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td>
      <td></td>
      <td>( 3.4 ±0.4 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ37</td>
      <td>K<sup>*</sup>(892)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td>
      <td>[d]</td>
      <td>( 2.15 ±0.28 ) × 10<sup>-3</sup></td>
      <td>S=1.1</td>
    </tr>
    <tr>
      <td>Γ38</td>
      <td>f<sub>0</sub>(500) e<sup>+</sup> ν<sub>e</sub>, f<sub>0</sub> → π<sup>0</sup> π<sup>0</sup></td>
      <td>&lt; 7.3</td>
      <td>× 10<sup>-4</sup></td>
      <td>CL=90%</td>
    </tr>
    <tr>
      <td>Γ39</td>
      <td>f<sub>0</sub>(980) e<sup>+</sup> ν<sub>e</sub>, f<sub>0</sub> → π<sup>0</sup> π<sup>0</sup></td>
      <td></td>
      <td>( 7.9 ±1.5 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ40</td>
      <td>f<sub>0</sub>(980) e<sup>+</sup> ν<sub>e</sub>, f<sub>0</sub> → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ41</td>
      <td>f<sub>0</sub>(980) μ<sup>+</sup> ν<sub>μ</sub>, f<sub>0</sub> → K<sup>+</sup> K<sup>-</sup></td>
      <td>&lt; 5.45</td>
      <td>× 10<sup>-4</sup></td>
      <td>CL=90%</td>
    </tr>
    <tr>
      <td>Γ42</td>
      <td>a<sub>0</sub>(980)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>, a<sub>0</sub><sup>0</sup> → π<sup>0</sup> η</td>
      <td>&lt; 1.2</td>
      <td>× 10<sup>-4</sup></td>
      <td>CL=90%</td>
    </tr>
    <tr>
      <td>Γ43</td>
      <td>π<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td>
      <td>&lt; 6.4</td>
      <td>× 10<sup>-5</sup></td>
      <td>CL=90%</td>
    </tr>
  </tbody>
</table>

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

<table>
  <tbody>
    <tr>
      <td>Γ44</td>
      <td>K<sup>+</sup> K<sub>S</sub><sup>0</sup></td>
      <td>( 1.450 ±0.035 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ45</td>
      <td>K<sup>+</sup> K<sub>S</sub><sup>0</sup></td>
      <td>( 1.49 ±0.06 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ46</td>
      <td>K<sup>+</sup> K<sub>S</sub><sup>0</sup></td>
      <td>( 2.95 ±0.14 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ47</td>
      <td>K<sup>+</sup> K<sup>-</sup> π<sup>+</sup></td>
      <td>[f]</td>
      <td>( 5.37 ±0.10 ) %</td>
      <td>S=1.1</td>
    </tr>
    <tr>
      <td>Γ48</td>
      <td>φπ<sup>+</sup></td>
      <td>[d,g]</td>
      <td>( 4.5 ±0.4 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ49</td>
      <td>φπ<sup>+</sup>, φ → K<sup>+</sup> K<sup>-</sup></td>
      <td>[g]</td>
      <td>( 2.21 ±0.06 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ50</td>
      <td>K<sup>+</sup> K<sup>-</sup>*(892)<sup>0</sup></td>
      <td></td>
      <td>( 12.7 ±4.0 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ51</td>
      <td>K<sup>+</sup> K<sup>-</sup>*(892)<sup>0</sup>, K<sup>-</sup>*(0 →</td>
      <td></td>
      <td>( 2.58 ±0.06 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ52</td>
      <td>K<sup>+</sup> K<sup>-</sup> π<sup>+</sup></td>
      <td></td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ53</td>
      <td>K<sup>+</sup> K<sup>-</sup>*(892)<sup>0</sup>, K<sup>-</sup>*(0 →</td>
      <td></td>
      <td>( 4.8 ±0.5 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ54</td>
      <td>f<sub>0</sub>(980) π<sup>+</sup>, f<sub>0</sub> → K<sup>+</sup> K<sup>-</sup></td>
      <td></td>
      <td>( 1.11 ±0.19 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ55</td>
      <td>f<sub>0</sub>(1370) π<sup>+</sup>, f<sub>0</sub> → K<sup>+</sup> K<sup>-</sup></td>
      <td></td>
      <td>( 7.1 ±2.9 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ56</td>
      <td>f<sub>0</sub>(1710) π<sup>+</sup>, f<sub>0</sub> → K<sup>+</sup> K<sup>-</sup></td>
      <td></td>
      <td>( 6.7 ±2.8 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ57</td>
      <td>α<sub>0</sub>(980)<sup>+</sup> π<sup>0</sup>, α<sub>0</sub><sup>+</sup> → K<sup>+</sup> K<sub>S</sub><sup>0</sup></td>
      <td></td>
      <td>( 1.1 ±0.4 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ58</td>
      <td>α<sub>0</sub>(1710)<sup>+</sup> π<sup>0</sup>, α<sub>0</sub><sup>-</sup> → K<sup>+</sup> K<sub>S</sub><sup>0</sup></td>
      <td></td>
      <td>( 3.5 ±0.6 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ59</td>
      <td>K<sup>+</sup> K<sup>-</sup> π<sup>+</sup></td>
      <td></td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ60</td>
      <td>K<sup>+</sup> K<sub>S</sub><sup>0</sup> π<sup>0</sup></td>
      <td></td>
      <td>( 8.8 ±2.8 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ61</td>
      <td>K<sup>*</sup>(892)<sup>+</sup> K<sub>S</sub><sup>0</sup>, K<sup>+</sup> →</td>
      <td></td>
      <td>( 1.47 ±0.07 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ62</td>
      <td>2K<sub>S</sub><sup>0</sup> π<sup>+</sup></td>
      <td></td>
      <td>( 7.1 ±0.4 ) × 10<sup>-3</sup></td>
      <td>S=1.3</td>
    </tr>
    <tr>
      <td>Γ63</td>
      <td>f<sub>0</sub>(980) π<sup>+</sup>, f<sub>0</sub> → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup></td>
      <td>&lt; 1.8</td>
      <td>× 10<sup>-4</sup></td>
      <td>CL=90%</td>
    </tr>
    <tr>
      <td>Γ64</td>
      <td>f<sub>0</sub>(1710) π<sup>+</sup>, f<sub>0</sub> → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup></td>
      <td></td>
      <td>( 3.3 ±0.4 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ65</td>
      <td>K<sup>*</sup>(892)<sup>+</sup> K<sub>S</sub><sup>0</sup>, K<sup>+</sup> →</td>
      <td></td>
      <td>( 3.09 ±0.33 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ66</td>
      <td>K<sup>0</sup> K<sub>S</sub><sup>0</sup> π<sup>+</sup></td>
      <td></td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ67</td>
      <td>K<sup>*</sup>(892)<sup>+</sup> K<sub>S</sub><sup>0</sup></td>
      <td>[d]</td>
      <td>( 5.4 ±1.2 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ68</td>
      <td>K<sup>+</sup> K<sup>-</sup> π<sup>+</sup> π<sup>0</sup></td>
      <td></td>
      <td>( 5.50 ±0.24 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ69</td>
      <td>φρ<sup>+</sup></td>
      <td>[d]</td>
      <td>( 5.59 ±0.34 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ70</td>
      <td>K<sub>1</sub>(1270)<sup>0</sup> K<sup>+</sup>, K<sub>1</sub><sup>-</sup>(1270)<sup>0</sup> → K<sup>-</sup> ρ<sup>+</sup></td>
      <td></td>
      <td>( 5.7 ±0.6 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ71</td>
      <td>K<sub>1</sub>(1270)<sup>0</sup> K<sup>+</sup>, K<sub>1</sub><sup>-</sup>(1270)<sup>0</sup> → K<sup>*</sup>(892) π</td>
      <td></td>
      <td>( 1.31 ±0.25 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ72</td>
      <td>K<sub>1</sub>(1400)<sup>0</sup> K<sup>+</sup>, K<sub>1</sub><sup>-</sup>(1400)<sup>0</sup> → K<sup>*</sup>(892) π</td>
      <td></td>
      <td>( 2.0 ±0.4 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ73</td>
      <td>α<sub>0</sub>(980)<sup>0</sup> ρ<sup>+</sup>, α<sub>0</sub><sup>0</sup> → K<sup>+</sup> K<sup>-</sup></td>
      <td></td>
      <td>( 1.9 ±0.4 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ74</td>
      <td>f<sub>1</sub>(1420)<sup>0</sup> π<sup>+</sup>, f<sub>1</sub><sup>-</sup>(1420)<sup>0</sup> → K<sup>*</sup>(892)<sup>+</sup> K<sup>±</sup></td>
      <td></td>
      <td>( 3.9 ±0.7 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ75</td>
      <td>f<sub>1</sub>(1420)<sup>0</sup> π<sup>+</sup>, f<sub>1</sub><sup>-</sup>(1420)<sup>0</sup> → α<sub>0</sub>(980)<sup>0</sup> π<sup>0</sup>, α<sub>0</sub>(980)<sup>0</sup> → K<sup>+</sup> K<sup>-</sup></td>
      <td></td>
      <td>( 4.0 ±1.4 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ76</td>
      <td>η(1475) π<sup>+</sup>, η(1475) → α<sub>0</sub>(980)<sup>0</sup> π<sup>0</sup>, α<sub>0</sub>(980)<sup>0</sup> → K<sup>+</sup> K<sup>-</sup></td>
      <td></td>
      <td>( 7.0 ±2.8 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ77</td>
      <td>K<sub>S</sub><sup>0</sup> K<sup>-</sup> 2π<sup>+</sup></td>
      <td></td>
      <td>( 1.53 ±0.08 ) %</td>
      <td>S=1.5</td>
    </tr>
    <tr>
      <td>Γ78</td>
      <td>K<sup>+</sup> K<sup>-</sup> K<sub>S</sub><sup>0</sup> π<sup>+</sup></td>
      <td></td>
      <td>( 1.29 ±0.18 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ79</td>
      <td>K<sup>*</sup>(892)<sup>+</sup> K<sup>-</sup>*(892)<sup>0</sup></td>
      <td>[d]</td>
      <td>( 5.64 ±0.35 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ80</td>
      <td>η(1475) K<sub>S</sub><sup>0</sup>, η → K<sup>*</sup>(892)<sup>0</sup> π<sup>+</sup>, K<sup>+</sup> → K<sup>-</sup> π<sup>+</sup></td>
      <td></td>
      <td>( 3.4 ±1.0 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
  </tbody>
</table>

<table>
  <tbody>
    <tr>
      <td>Γ81</td>
      <td>η(1475)π<sup>+</sup>, η → K<sup>*</sup>(892)<sup>+</sup> K<sup>-</sup>, K<sup>+</sup> → K<sub>S</sub><sup>0</sup> π<sup>+</sup></td>
      <td>( 3.4 ±1.0 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ82</td>
      <td>η(1475)π<sup>+</sup>, η → a<sub>0</sub>(980)<sup>-</sup> π<sup>+</sup>, a<sub>0</sub><sup>-</sup> → K<sub>S</sub><sup>0</sup> K<sup>-</sup></td>
      <td>( 1.7 ±0.9 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ83</td>
      <td>f<sub>1</sub>(1285)π<sup>+</sup>, f<sub>1</sub> → a<sub>0</sub>(980)<sup>-</sup> π<sup>+</sup>, a<sub>0</sub><sup>-</sup> → K<sub>S</sub><sup>0</sup> K<sup>-</sup></td>
      <td>( 3.4 ±0.8 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ84</td>
      <td>K<sup>+</sup> K<sub>S</sub><sup>0</sup> π<sup>+</sup> π<sup>-</sup></td>
      <td>( 9.5 ±0.8 ) × 10<sup>-3</sup></td>
      <td>S=1.1</td>
    </tr>
    <tr>
      <td>Γ85</td>
      <td>K<sup>+</sup> K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td>
      <td>( 6.6 ±0.6 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ86</td>
      <td>φ2π<sup>+</sup> π<sup>-</sup></td>
      <td>( 1.21 ±0.16 ) %</td>
      <td>[d]</td>
    </tr>
    <tr>
      <td>Γ87</td>
      <td>φρ<sup>0</sup> π<sup>+</sup>, φ → K<sup>+</sup> K<sup>-</sup></td>
      <td>( 4.9 ±0.7 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ88</td>
      <td>φa<sub>1</sub>(1260)<sup>+</sup>, φ → K<sup>+</sup> K<sup>-</sup>, a<sub>1</sub><sup>+</sup> → ρ<sup>0</sup> π<sup>+</sup></td>
      <td>( 7.4 ±1.2 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ89</td>
      <td>φ2π<sup>+</sup> π<sup>-</sup> non-ρ, φ → K<sup>+</sup> K<sup>-</sup></td>
      <td>( 1.4 ±0.5 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ90</td>
      <td>K<sup>+</sup> K<sup>-</sup> ρ<sup>0</sup> π<sup>+</sup> non-φ</td>
      <td>&lt; 2.0</td>
      <td>× 10<sup>-4</sup></td>
      <td>CL=90%</td>
    </tr>
    <tr>
      <td>Γ91</td>
      <td>K<sup>+</sup> K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup> nonresonant</td>
      <td>( 1.0 ±0.4 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ92</td>
      <td>2K<sub>S</sub><sup>0</sup> 2π<sup>+</sup> π<sup>-</sup></td>
      <td>( 7.8 ±3.3 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
  </tbody>
</table>

Hadronic modes without K's

<table>
  <tbody>
    <tr>
      <td>Γ93</td>
      <td>π<sup>+</sup> π<sup>0</sup></td>
      <td>&lt; 1.2</td>
      <td>× 10<sup>-4</sup></td>
      <td>CL=90%</td>
    </tr>
    <tr>
      <td>Γ94</td>
      <td>2π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td>( 1.08 ±0.04 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ95</td>
      <td>ρ<sup>0</sup> π<sup>+</sup></td>
      <td></td>
      <td>( 1.12 ±0.17 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ96</td>
      <td>π<sup>+</sup>(π<sup>+</sup> π<sup>-</sup>)<sub>S-wave</sub></td>
      <td>[h]</td>
      <td>( 9.12 ±0.35 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ97</td>
      <td>f<sub>0</sub>(980) π<sup>+</sup>, f<sub>0</sub> → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ98</td>
      <td>f<sub>0</sub>(1370) π<sup>+</sup>, f<sub>0</sub> → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ99</td>
      <td>f<sub>0</sub>(1500) π<sup>+</sup>, f<sub>0</sub> → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ100</td>
      <td>f<sub>2</sub>(1270) π<sup>+</sup>, f<sub>2</sub> → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td>( 1.40 ±0.11 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ101</td>
      <td>f<sub>2</sub>(1525)<sup>0</sup> π<sup>+</sup>, f<sub>2</sub><sup>'</sup> → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td>( 5.7 ±2.0 ) × 10<sup>-6</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ102</td>
      <td>ρ(1450)<sup>0</sup> π<sup>+</sup>, ρ<sup>0</sup> → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td>( 1.8 ±0.6 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ103</td>
      <td>ρ(1700)<sup>0</sup> π<sup>+</sup>, ρ<sup>0</sup> → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td>( 4 ±4 ) × 10<sup>-5</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ104</td>
      <td>π<sup>+</sup> 2π<sup>0</sup></td>
      <td></td>
      <td>( 5.2 ±0.5 ) × 10<sup>-3</sup></td>
      <td>S=1.1</td>
    </tr>
    <tr>
      <td>Γ105</td>
      <td>f<sub>0</sub>(980) π<sup>+</sup>, f<sub>0</sub> → π<sup>0</sup> π<sup>0</sup></td>
      <td></td>
      <td>( 2.9 ±0.6 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ106</td>
      <td>f<sub>0</sub>(1370) π<sup>+</sup>, f<sub>0</sub> → π<sup>0</sup> π<sup>0</sup></td>
      <td></td>
      <td>( 1.3 ±0.6 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ107</td>
      <td>f<sub>2</sub>(1270) π<sup>+</sup>, f<sub>2</sub> → π<sup>0</sup> π<sup>0</sup></td>
      <td></td>
      <td>( 5.0 ±3.5 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ108</td>
      <td>2π<sup>+</sup> π<sup>-</sup> π<sup>0</sup></td>
      <td></td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ109</td>
      <td>ηπ<sup>+</sup></td>
      <td>[d]</td>
      <td>( 1.67 ±0.09 ) %</td>
      <td>S=1.1</td>
    </tr>
    <tr>
      <td>Γ110</td>
      <td>ωπ<sup>+</sup></td>
      <td>[d]</td>
      <td>( 1.92 ±0.30 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ111</td>
      <td>ωπ<sup>+</sup>, ω → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td>( 3.9 ±0.5 ) × 10<sup>-5</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ112</td>
      <td>3π<sup>+</sup> 2π<sup>-</sup></td>
      <td></td>
      <td>( 7.8 ±0.8 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ113</td>
      <td>2π<sup>+</sup> π<sup>-</sup> 2π<sup>0</sup></td>
      <td></td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ114</td>
      <td>ηρ<sup>+</sup></td>
      <td>[d]</td>
      <td>( 8.9 ±0.8 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ115</td>
      <td>ηπ<sup>+</sup> π<sup>0</sup></td>
      <td></td>
      <td>( 9.5 ±0.5 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ116</td>
      <td>η(π<sup>+</sup> π<sup>0</sup>) P-wave</td>
      <td></td>
      <td>( 5.1 ±3.1 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ117</td>
      <td>a<sub>0</sub>(980)<sup>+</sup> π<sup>0</sup><sub>+</sub>, a<sub>0</sub>(980)<sup>+</sup> π<sup>0</sup> → ηπ<sup>+</sup></td>
      <td></td>
      <td>( 2.2 ±0.4 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ118</td>
      <td>ωπ<sup>+</sup> π<sup>0</sup></td>
      <td>[d]</td>
      <td>( 2.8 ±0.7 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ119</td>
      <td>2π<sup>+</sup> π<sup>-</sup> η</td>
      <td></td>
      <td>( 3.12 ±0.16 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ120</td>
      <td>a<sub>1</sub>(1260)<sup>+</sup> η, a<sub>1</sub><sup>+</sup> → ρ(770)<sup>0</sup> π<sup>+</sup>, ρ<sup>0</sup> → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td>( 1.73 ±0.16 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ121</td>
      <td>a<sub>1</sub>(1260)<sup>+</sup> η, a<sub>1</sub><sup>+</sup> → f<sub>0</sub>(500) π<sup>+</sup>, f<sub>0</sub> → π<sup>+</sup> π<sup>-</sup></td>
      <td></td>
      <td>( 2.5 ±0.9 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ122</td>
      <td>a<sub>0</sub>(980)<sup>+</sup> ρ(770)<sup>0</sup>, a<sub>0</sub><sup>+</sup> → ηπ<sup>+</sup></td>
      <td></td>
      <td>( 2.1 ±0.9 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ123</td>
      <td>η(1405) π<sup>+</sup>, η(1405) → a<sub>0</sub>(980)<sup>-</sup> π<sup>+</sup>, a<sub>0</sub><sup>-</sup> → ηπ<sup>+</sup></td>
      <td></td>
      <td>( 2.2 ±0.7 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ124</td>
      <td>η(1405) π<sup>+</sup>, η(1405) → a<sub>0</sub>(980)<sup>+</sup> π<sup>-</sup>, a<sub>0</sub><sup>+</sup> → ηπ<sup>+</sup></td>
      <td></td>
      <td>( 2.2 ±0.7 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ125</td>
      <td>f<sub>1</sub>(1420) π<sup>+</sup>, f<sub>1</sub> → a<sub>0</sub>(980)<sup>-</sup> π<sup>+</sup>, a<sub>0</sub><sup>-</sup> → ηπ<sup>-</sup></td>
      <td></td>
      <td>( 5.9 ±1.8 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ126</td>
      <td>f<sub>1</sub>(1420) π<sup>+</sup>, f<sub>1</sub> → a<sub>0</sub>(980)<sup>+</sup> π<sup>-</sup>, a<sub>0</sub><sup>+</sup> → ηπ<sup>+</sup></td>
      <td></td>
      <td>( 5.3 ±1.8 ) × 10<sup>-4</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ127</td>
      <td>3π<sup>+</sup> 2π<sup>-</sup> π<sup>0</sup></td>
      <td></td>
      <td>( 4.9 ±3.2 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ128</td>
      <td>ω2π<sup>+</sup> π<sup>-</sup></td>
      <td>[d]</td>
      <td>( 1.6 ±0.5 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ129</td>
      <td>η'(958) π<sup>+</sup></td>
      <td>[c,d]</td>
      <td>( 3.94 ±0.25 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ130</td>
      <td>3π<sup>+</sup> 2π<sup>-</sup> 2π<sup>0</sup></td>
      <td></td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ131</td>
      <td>ωηπ<sup>+</sup></td>
      <td>[d]</td>
      <td>( 5.4 ±1.3 ) × 10<sup>-3</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ132</td>
      <td>η'(958) ρ<sup>+</sup></td>
      <td>[c,d]</td>
      <td>( 5.8 ±1.5 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ133</td>
      <td>η'(958) π<sup>+</sup> π<sup>0</sup></td>
      <td></td>
      <td>( 6.08 ±0.29 ) %</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ134</td>
      <td>η'(958) π<sup>+</sup> π<sup>0</sup> nonresonant</td>
      <td>&lt; 5.1</td>
      <td>%</td>
      <td>CL=90%</td>
    </tr>
  </tbody>
</table>
Modes with one or three K's

<table>
  <tbody>
    <tr>
      <td>Γ<sub>135</sub> K<sup>+</sup>π<sup>0</sup></td>
      <td>( 7.4 ±0.5 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>136</sub> K<sup>0</sup>π<sup>+</sup></td>
      <td>( 1.09 ±0.05 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>137</sub> K<sup>+</sup>η</td>
      <td>[d] ( 1.73 ±0.08 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>138</sub> K<sup>+</sup>ω</td>
      <td>[d] ( 9.9 ±1.5 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>139</sub> K<sup>+</sup>η'(958)</td>
      <td>[d] ( 2.64 ±0.24 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>140</sub> K<sup>+</sup>π<sup>+</sup>π<sup>-</sup></td>
      <td>( 6.20 ±0.19 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>141</sub> K<sup>+</sup>ρ<sup>0</sup></td>
      <td>( 2.17 ±0.25 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>142</sub> K<sup>+</sup>ρ(1450)<sup>0</sup>, ρ<sup>0</sup> → π<sup>+</sup>π<sup>-</sup></td>
      <td>( 7.2 ±1.7 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>143</sub> K<sup>+</sup>f<sub>0</sub>(500), f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td>
      <td>( 4.5 ±3.0 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>144</sub> K<sup>+</sup>f<sub>0</sub>(980), f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td>
      <td>( 2.8 ±1.1 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>145</sub> K<sup>+</sup>f<sub>0</sub>(1370), f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td>
      <td>( 1.2 ±0.6 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>146</sub> K*(892)<sup>0</sup>π<sup>+</sup>, K*<sup>0</sup> →</td>
      <td>( 1.67 ±0.26 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>147</sub> K<sup>+</sup>π<sup>-</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ<sub>148</sub> K*(1410)<sup>0</sup>π<sup>+</sup>, K*<sup>0</sup> →</td>
      <td>( 6 ±4 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>149</sub> K<sup>+</sup>π<sup>+</sup>π<sup>-</sup> nonresonant</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ<sub>150</sub> K<sup>0</sup>π<sup>+</sup>π<sup>0</sup></td>
      <td></td>
    </tr>
    <tr>
      <td>Γ<sub>151</sub> K<sup>0</sup>π<sup>+</sup>π<sup>0</sup></td>
      <td>( 5.38 ±0.32 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>152</sub> K<sup>0</sup><sub>S</sub>ρ(770)<sup>+</sup>, ρ<sup>+</sup> → π<sup>+</sup>π<sup>0</sup></td>
      <td>( 2.7 ±0.5 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>153</sub> K<sup>0</sup><sub>S</sub>ρ(1450)<sup>+</sup>, ρ<sup>+</sup> → π<sup>+</sup>π<sup>0</sup></td>
      <td>( 1.10 ±0.34 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>154</sub> K*(892)<sup>0</sup>π<sup>+</sup>, K*<sup>0</sup> → K<sup>0</sup><sub>S</sub>π<sup>0</sup></td>
      <td>( 4.5 ±1.3 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>155</sub> K*(892)<sup>+</sup>π<sup>0</sup>, K*<sup>+</sup> →</td>
      <td>( 2.5 ±0.8 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>156</sub> K*(1410)<sup>0</sup>π<sup>+</sup>, K*<sup>0</sup> →</td>
      <td>( 1.8 ±0.9 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>157</sub> K<sup>0</sup><sub>S</sub>2π<sup>+</sup>π<sup>-</sup></td>
      <td>( 2.8 ±1.0 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>158</sub> K<sup>+</sup>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td>
      <td>( 9.7 ±0.6 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>159</sub> K*(892)<sup>0</sup>ρ<sup>+</sup>, K*<sup>0</sup> → K<sup>+</sup>π<sup>-</sup></td>
      <td>( 3.9 ±0.4 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>160</sub> K*(892)<sup>+</sup>ρ<sup>0</sup>, K*<sup>+</sup> → K<sup>+</sup>π<sup>0</sup></td>
      <td>( 4.2 ±1.2 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>161</sub> K<sub>1</sub>(1270)<sup>0</sup>π<sup>+</sup>, K<sup>0</sup><sub>1</sub> → K<sup>+</sup>ρ<sup>-</sup></td>
      <td>( 3.9 ±1.3 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>162</sub> K<sub>1</sub>(1400)<sup>0</sup>π<sup>+</sup>, K<sup>0</sup><sub>1</sub> →</td>
      <td>( 5.4 ±0.9 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>163</sub> K*(890)<sup>+</sup>π<sup>-</sup>, K*<sup>+</sup> →</td>
      <td></td>
    </tr>
    <tr>
      <td>Γ<sub>164</sub> K<sup>+</sup>a<sub>1</sub>(1260)<sup>0</sup>, a<sub>1</sub> → ρ<sup>+</sup>π<sup>-</sup></td>
      <td>( 1.8 ±1.1 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>165</sub> K<sup>+</sup>a<sub>2</sub>(1260)<sup>0</sup>, a<sub>2</sub> → ρ<sup>-</sup>π<sup>+</sup></td>
      <td>( 1.8 ±1.1 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>166</sub> K<sup>+</sup>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup> nonresonant</td>
      <td>( 9.2 ±2.4 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>167</sub> (K<sup>+</sup>π<sup>0</sup>) P-wave ρ<sup>0</sup></td>
      <td>( 1.01 ±0.21 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>168</sub> K<sup>+</sup>ωπ<sup>0</sup></td>
      <td>[d] &lt; 8.2 × 10<sup>-3</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>169</sub> K<sup>+</sup>ωπ<sup>+</sup>π<sup>-</sup></td>
      <td>[d] &lt; 5.4 × 10<sup>-3</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>170</sub> K<sup>+</sup>ωη</td>
      <td>[d] &lt; 7.9 × 10<sup>-3</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>171</sub> 2K<sup>+</sup>K<sup>-</sup></td>
      <td>( 2.15 ±0.20 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>172</sub> φK<sup>+</sup>, φ → K<sup>+</sup>K<sup>-</sup></td>
      <td>( 8.8 ±2.0 ) × 10<sup>-5</sup></td>
    </tr>
  </tbody>
</table>

Double Cabibbo-suppressed modes

<table>
  <tbody>
    <tr>
      <td>Γ<sub>173</sub> 2K<sup>+</sup>π<sup>-</sup></td>
      <td>( 1.274±0.031 ) × 10<sup>-4</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>174</sub> K<sup>+</sup>K*(892)<sup>0</sup>, K*<sup>0</sup> →</td>
      <td>( 6.0 ±3.4 ) × 10<sup>-5</sup></td>
    </tr>
    <tr>
      <td>K<sup>+</sup>π<sup>-</sup></td>
      <td></td>
    </tr>
  </tbody>
</table>

Baryon-antibaryon mode

<table>
  <tbody>
    <tr>
      <td>Γ<sub>175</sub> ρπ̄</td>
      <td>( 1.22 ±0.11 ) × 10<sup>-3</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>176</sub> ρπ̄e<sup>+</sup>ν<sub>e</sub></td>
      <td>&lt; 2.0 × 10<sup>-4</sup> CL=90%</td>
    </tr>
  </tbody>
</table>

ΔC = 1 weak neutral current (CI) modes,
Lepton family number (LF), or
Lepton number (L) violating modes

<table>
  <tbody>
    <tr>
      <td>Γ<sub>177</sub> π<sup>+</sup>e<sup>+</sup>e<sup>-</sup></td>
      <td>[l] &lt; 5.5 × 10<sup>-6</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>178</sub> π<sup>+</sup>φ, φ → e<sup>+</sup>e<sup>-</sup></td>
      <td>[l] (6 <sup>+8</sup><sub>-4</sub>) × 10<sup>-6</sup></td>
    </tr>
    <tr>
      <td>Γ<sub>179</sub> π<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td>
      <td>[l] &lt; 1.8 × 10<sup>-7</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>180</sub> K<sup>+</sup>e<sup>+</sup>e<sup>-</sup></td>
      <td>C1 &lt; 3.7 × 10<sup>-6</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>181</sub> K<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td>
      <td>C1 &lt; 1.4 × 10<sup>-7</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>182</sub> K*(892)<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td>
      <td>C1 &lt; 1.4 × 10<sup>-3</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>183</sub> π<sup>+</sup>e<sup>+</sup>μ<sup>-</sup></td>
      <td>LF &lt; 1.1 × 10<sup>-6</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>184</sub> π<sup>+</sup>e<sup>-</sup>μ<sup>+</sup></td>
      <td>LF &lt; 9.4 × 10<sup>-7</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>185</sub> K<sup>+</sup>e<sup>+</sup>μ<sup>-</sup></td>
      <td>LF &lt; 7.9 × 10<sup>-7</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>186</sub> K<sup>+</sup>e<sup>-</sup>μ<sup>+</sup></td>
      <td>LF &lt; 5.6 × 10<sup>-7</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>187</sub> π<sup>-</sup>2e<sup>+</sup></td>
      <td>L &lt; 1.4 × 10<sup>-6</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>188</sub> π<sup>-</sup>2μ<sup>+</sup></td>
      <td>L &lt; 8.6 × 10<sup>-8</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>189</sub> π<sup>-</sup>e<sup>+</sup>μ<sup>+</sup></td>
      <td>L &lt; 6.3 × 10<sup>-7</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>190</sub> K<sup>-</sup>2e<sup>+</sup></td>
      <td>L &lt; 7.7 × 10<sup>-7</sup> CL=90%</td>
    </tr>
  </tbody>
</table>

<table>
  <tbody>
    <tr>
      <td>Γ<sub>191</sub> K<sup>-</sup>2μ<sup>+</sup></td>
      <td>L</td>
      <td>&lt; 2.6</td>
      <td>× 10<sup>-8</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>192</sub> K<sup>-</sup>e<sup>+</sup>μ<sup>+</sup></td>
      <td>L</td>
      <td>&lt; 2.6</td>
      <td>× 10<sup>-7</sup> CL=90%</td>
    </tr>
    <tr>
      <td>Γ<sub>193</sub> K*(892)<sup>-</sup>2μ<sup>+</sup></td>
      <td>L</td>
      <td>&lt; 1.4</td>
      <td>× 10<sup>-3</sup> CL=90%</td>
    </tr>
  </tbody>
</table>

[a] This is the purely e⁺ semileptonic branching fraction: the e⁺ fraction from τ⁺ decays has been subtracted off. The sum of our (non-τ) e⁺ exclusive fractions — an e⁺νₑ with an η, η', φ, K⁰, or K*⁰ — is 5.99 ± 0.31 %.

[b] This fraction includes η from η' decays.

[c] The sum of our exclusive η' fractions — η' e⁺νₑ, η' μ⁺ν_μ, η' π⁺, η' ρ⁺, and η' K⁺ — is 11.8 ± 1.6%.

[d] This branching fraction includes all the decay modes of the final-state resonance.

[e] A test for uū or dūd content in the $D_s^+$, Neither Cabibbo-favored nor Cabibbo-suppressed decays can contribute, and ω-φ mixing is an unlikely explanation for any fraction above about 2 × 10⁻⁴.

[f] 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.

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

[h] This is the average of a model-independent and a K-matrix parametrization of the π⁺π⁻ S-wave and is a sum over several f₀ mesons.

[i] This mode is not a useful test for a ΔC=1 weak neutral current because both quarks must change flavor in this decay.

[j] This is not a test for the ΔC=1 weak neutral current, but leads to the π⁺ℓ⁺ℓ⁻ final state.

FIT INFORMATION

An overall fit to 16 branching ratios uses 25 measurements to determine 11 parameters. The overall fit has a $\chi^2$ = 12.7 for 14 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, $x_i \equiv \Gamma_i / \Gamma_{\text{total}}$.

<table>
  <tbody>
    <tr>
      <td>x<sub>47</sub></td>
      <td>27</td>
    </tr>
    <tr>
      <td>x<sub>68</sub></td>
      <td>8 0</td>
    </tr>
    <tr>
      <td>x<sub>77</sub></td>
      <td>24 4 14</td>
    </tr>
    <tr>
      <td>x<sub>84</sub></td>
      <td>18 3 12 45</td>
    </tr>
    <tr>
      <td>x<sub>94</sub></td>
      <td>17 33 1 6 4</td>
    </tr>
    <tr>
      <td>x<sub>109</sub></td>
      <td>1 15 -8 -15 -12 6</td>
    </tr>
    <tr>
      <td>x<sub>110</sub></td>
      <td>0 1 0 -1 0 0 4</td>
    </tr>
    <tr>
      <td>x<sub>138</sub></td>
      <td>0 0 0 0 0 0 0</td>
    </tr>
    <tr>
      <td>x<sub>140</sub></td>
      <td>7 3 4 8 6 2 -4 0 0</td>
    </tr>
    <tr>
      <td>x<sub>158</sub></td>
      <td>0 0 0 0 0 0 0 0 26 0</td>
    </tr>
    <tr>
      <td>x<sub>44</sub></td>
      <td>x<sub>47</sub> x<sub>68</sub> x<sub>77</sub> x<sub>84</sub> x<sub>94</sub> x<sub>109</sub> x<sub>110</sub> x<sub>138</sub> x<sub>140</sub></td>
    </tr>
  </tbody>
</table>

See the related review(s):

$D_s^+$ Branching Fractions

$D_s^+$ BRANCHING RATIOS

A number of older, now obsolete results have been omitted. They may be found in earlier editions.

Inclusive modes

$$
\Gamma(e^+\text{semileptonic})/\Gamma_{\text{total}} \quad \Gamma_1/\Gamma
$$

This is the purely e⁺ semileptonic branching fraction: the e⁺ fraction from τ⁺ decays has been subtracted off.

<table>
  <thead>
    <tr>
      <th>VALUE (%)</th>
      <th>EVENTS</th>
      <th>DOCUMENT ID</th>
      <th>TECN</th>
      <th>COMMENT</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td>6.33±0.15</td>
      <td>OUR AVERAGE</td>
      <td>1,2 ABLIKIM</td>
      <td>21AC BES3</td>
      <td>e<sup>+</sup>e<sup>-</sup> at 4.178-4.230 GeV</td>
    </tr>
    <tr>
      <td>6.30±0.13</td>
      <td>±0.10</td>
      <td>17k</td>
      <td></td>
      <td></td>
    </tr>
    <tr>
      <td>6.52±0.39</td>
      <td>±0.15</td>
      <td>0.5k</td>
      <td>3 ASNER</td>
      <td>e<sup>+</sup>e<sup>-</sup> at 3774 MeV</td>
    </tr>
  </tbody>
</table>

<footnote n="1">¹ABLIKIM 21AC finds that the ratio of the $D_s^+$ and $D^0$ semielectronic widths is 0.790 ± 0.016 ± 0.020.</footnote>
² ABLIKIM 21AC reports a value of $(6.30 \pm 0.13 \pm 0.09 \pm 0.04) \times 10^{-2}$, where the last uncertainty is an external systematic error from $B(D_s^+ \to \tau \nu)$. We have added the systematic uncertainties in quadrature.

³ Using the $D_s^+$ and $D^0$ lifetimes, ASNER 10 finds that the ratio of the $D_s^+$ and $D^0$ semileptonic widths is $0.828 \pm 0.051 \pm 0.025$.

$$ \Gamma(\pi^+ \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{2/\Gamma} $$
Events with two $\pi^+$'s count twice, etc. But $\pi^+$'s from $K_S^0 \to \pi^+\pi^-$ are not included.

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>119.3 ± 1.2 ± 0.7</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(\pi^- \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{3/\Gamma} $$
Events with two $\pi^-$'s count twice, etc. But $\pi^-$'s from $K_S^0 \to \pi^+\pi^-$ are not included.

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>43.2 ± 0.9 ± 0.3</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(\pi^0 \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{4/\Gamma} $$
Events with two $\pi^0$'s count twice, etc. But $\pi^0$'s from $K_S^0 \to 2\pi^0$ are not included.

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>123.4 ± 3.8 ± 5.3</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(K^- \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{5/\Gamma} $$
Events with two $K^-$'s count twice, etc. But $K^-$'s from $K_S^0 \to K^-K^+$ are not included.

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>18.7 ± 0.5 ± 0.2</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(K^+ \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{6/\Gamma} $$
Events with two $K^+$'s count twice, etc. But $K^+$'s from $K_S^0 \to K^+K^-$ are not included.

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>28.9 ± 0.6 ± 0.3</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(K_S^0 \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{7/\Gamma} $$
Events with two $K_S^0$'s count twice, etc. But $K_S^0$'s from $K_S^0 \to K_S^0K_S^0$ are not included.

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>19.0 ± 1.0 ± 0.4</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(\eta \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{8/\Gamma} $$
This ratio includes $\eta$ particles from $\eta'$ decays.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>29.9 ± 2.2 ± 1.7</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
23.5 ± 3.1 ± 2.0 674 ± 91 HUANG 06B CLEO See DOBBS 09

$$ \Gamma(\omega \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{9/\Gamma} $$
Events with two $\omega$'s count twice, etc. But $\omega$'s from $\omega S^0 \to \omega K^0$ are not 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>6.1 ± 1.4 ± 0.3</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(\eta' \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{10/\Gamma} $$
Events with two $\eta'$'s count twice, etc. But $\eta'$'s from $\eta S^0 \to \eta K^0$ are not 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>10.3 ± 1.4 OUR AVERAGE</td><td colspan="4">Error includes scale factor of 1.1.</td></tr><tr><td>8.8 ± 1.8 ± 0.5</td><td>68</td><td>ABLIKIM</td><td>152</td><td>BES3 482 pb<sup>-1</sup>, 4009 MeV</td></tr><tr><td>11.7 ± 1.7 ± 0.7</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
8.7 ± 1.9 ± 0.8 68 HUANG 06B CLEO See DOBBS 09

$$ \Gamma(f_0(980) \text{ anything}, f_0 \to \pi^+\pi^-)/\Gamma_{\text{total}} \qquad \Gamma_{11/\Gamma} $$
Events with two $f_0$'s count twice, etc. But $f_0$'s from $f_0 S^0 \to f_0 K^0$ are not 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;1.3</td><td>90</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(\phi \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{12/\Gamma} $$
Events with two $\phi$'s count twice, etc. But $\phi$'s from $\phi S^0 \to \phi K^0$ are not 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>15.7 ± 0.8 ± 0.6</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
16.1 ± 1.2 ± 1.1 398 ± 27 HUANG 06B CLEO See DOBBS 09

$$ \Gamma(K^+ K^- \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{13/\Gamma} $$
Events with two $K^+K^-$'s count twice, etc. But $K^+K^-$'s from $K_S^0 \to K_S^0K_S^0$ are not 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>15.8 ± 0.6 ± 0.3</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(K_S^0 K^+ \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{14/\Gamma} $$
Events with two $K_S^0K^+$'s count twice, etc. But $K_S^0K^+$'s from $K_S^0K_S^0$ are not 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>5.8 ± 0.5 ± 0.1</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(K_S^0 K^- \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{15/\Gamma} $$
Events with two $K_S^0K^-$'s count twice, etc. But $K_S^0K^-$'s from $K_S^0K_S^0$ are not included.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.9 ± 0.4 ± 0.1</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(2K_S^0 \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{16/\Gamma} $$
Events with two $2K_S^0$'s count twice, etc. But $2K_S^0$'s from $2K_S^0K_S^0$ are not included.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.7 ± 0.3 ± 0.1</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(2K^+ \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{17/\Gamma} $$
Events with two $2K^+$'s count twice, etc. But $2K^+$'s from $2K_S^0K_S^0$ are not 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;0.26</td><td>90</td><td>DOBBS</td><td>09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

$$ \Gamma(2K^- \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{18/\Gamma} $$
$$ \begin{array}{l} \text{VALUE (%)} \\ <0.06 \end{array} \qquad \begin{array}{l} \text{CL}\% \\ 90 \end{array} \qquad \begin{array}{l} \text{DOCUMENT ID} \\ \text{DOBBS} \end{array} \qquad \begin{array}{l} \text{TECN} \\ \text{CLEO} \end{array} \qquad \begin{array}{l} \text{COMMENT} \\ \text{e}^+\text{e}^- \text{ at } 4170 \text{ MeV} \end{array} $$

$$ \Gamma(2\pi^+ \pi^- + \text{ anything})/\Gamma_{\text{total}} \qquad \Gamma_{19/\Gamma} $$
$$ \begin{array}{l} \text{VALUE (%)} \\ 32.81 \pm 0.35 \pm 0.63 \end{array} \qquad \begin{array}{l} \text{EVTS} \\ 25\text{k} \end{array} \qquad \begin{array}{l} \text{DOCUMENT ID} \\ \text{1 ABLIKIM} \end{array} \qquad \begin{array}{l} \text{TECN} \\ \text{23\text{AV BE53}} \end{array} \qquad \begin{array}{l} \text{COMMENT} \\ \text{e}^+\text{e}^- \text{ at } 4.178 \text{ GeV} \end{array} $$

¹ Charged pions from $K_S^0$ meson decays are excluded from this measurement

### Leptonic and semileptonic modes

See the related review(s):

### Leptonic Decays of Charged Pseudoscalar Mesons

$$ \Gamma(e^+ \nu_e)/\Gamma_{\text{total}} \qquad \Gamma_{20/\Gamma} $$
$$ \begin{array}{l} \text{VALUE} \\ <0.83 \times 10^{-4} \end{array} \qquad \begin{array}{l} \text{CL}\% \\ 90 \end{array} \qquad \begin{array}{l} \text{DOCUMENT ID} \\ \text{1 ZUPANC} \end{array} \qquad \begin{array}{l} \text{TECN} \\ \text{13 BELL} \end{array} \qquad \begin{array}{l} \text{COMMENT} \\ \text{e}^+\text{e}^- \text{ at } \Upsilon(4S), \Upsilon(5S) \end{array} $$

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

$<2.3 \times 10^{-4}$ 90 DEL-AMO-SA..10J BABR $e^+e^-$, 10.58 GeV
$<1.2 \times 10^{-4}$ 90 ALEXANDER 09 CLEO $e^+e^-$ at 4170 MeV
$<1.3 \times 10^{-4}$ 90 PEDLAR 07A CLEO See ALEXANDER 09

¹ ZUPANC 13 also gives the limit as $< 1.0 \times 10^{-4}$ at 95% CL.

$$ \Gamma(\mu^+ \nu_\mu)/\Gamma_{\text{total}} \qquad \Gamma_{21/\Gamma} $$
See the note on "Decay Constants of Charged Pseudoscalar Mesons."

<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>5.35 ± 0.12</td><td colspan="4">OUR AVERAGE</td></tr><tr><td>5.294 ± 0.108 ± 0.085</td><td>2.5k</td><td>ABLIKIM</td><td>23BR BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.128-4.226 GeV</td></tr><tr><td>5.17 ± 0.75 ± 0.21</td><td>69</td><td>1 ABLIKIM</td><td>160 BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 4.009 GeV</td></tr><tr><td>5.31 ± 0.28 ± 0.20</td><td>490</td><td>2 ZUPANC</td><td>13 BELL</td><td>e<sup>+</sup>e<sup>-</sup> at T(4S), T(55)</td></tr><tr><td>6.02 ± 0.38 ± 0.34</td><td>270</td><td>3 DEL-AMO-SA..10J</td><td>BABR</td><td>e<sup>+</sup>e<sup>-</sup>, 10.58 GeV</td></tr><tr><td>5.65 ± 0.45 ± 0.17</td><td>230</td><td>ALEXANDER</td><td>09 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at 4170 MeV</td></tr></tbody></table>

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

5.35 ± 0.13 ± 0.16 2.2k 4 ABLIKIM $e^+e^-$,4.178,4.226 GeV
5.49 ± 0.16 ± 0.15 1.1k 4 ABLIKIM 19E BES3 $e^+e^-$ at 4178 MeV
6.44 ± 0.76 ± 0.57 170 5 WIDHALM 08 BELL See ZUPANC 13
5.94 ± 0.66 ± 0.31 88 6 PEDLAR 07A CLEO See ALEXANDER 09
6.8 ± 1.1 ± 1.8 553 7 HEISTER 02I ALEP Z decays

¹ ABLIKIM 160 also reports that when constrained by the Standard Model ratio of $\Gamma(D_S^+ \to \tau^+\nu_\tau)/\Gamma(D_S^+ \to \mu^+\nu_\mu) = 9.76$, the branching fraction is found to be $(0.495 \pm 0.067 \pm 0.026)\%$. The constrained value is used to obtain the decay constant, $f_{D_S^+} = (241.0 \pm 16.3 \pm 6.6) \text{ MeV}$.

² ZUPANC 13 uses both $\mu^+\nu$ and $\tau^+\nu$ events to get $f_{D_S} = (255.5 \pm 4.2 \pm 5.1) \text{ MeV}$.

³ DEL-AMO-SANCHEZ 10J uses $\mu^+\nu_\mu$ and $\tau^+\nu_\tau$ events together to get $f_{D_S} = (258.6 \pm 6.4 \pm 7.5) \text{ MeV}$.

⁴ Superseded by ABLIKIM 23BR.

⁵ WIDHALM 08 gets $f_{D_S} = (275 \pm 16 \pm 12) \text{ MeV}$ from the branching fraction.

⁶ PEDLAR 07A also fits $\mu^+\nu$ and $\tau^+\nu$ events together and gets an effective $\mu^+\nu_\mu$ branching fraction of $(6.38 \pm 0.59 \pm 0.33) \times 10^{-3}$.

⁷ This HEISTER 02I result is not actually an independent measurement of the absolute $\mu^+\nu_\mu$ branching fraction, but is in fact based on our $\phi\pi^+$ branching fraction of 3.6 ± 0.9%, so it cannot be included in our overall fit. HEISTER 02I combines its $D_S^+ \to \tau^+\nu_\tau$ and $\mu^+\nu_\mu$ branching fractions to get $f_{D_S} = (285 \pm 19 \pm 40) \text{ MeV}$.

$$ \Gamma(\mu^+ \nu_\mu)/\Gamma(\phi \pi^+) \qquad \Gamma_{21/\Gamma_{48}} $$
See the note on "Decay Constants of Charged Pseudoscalar Mesons" above.

<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. • • •

0.143 ± 0.018 ± 0.006 489 ± 55 1 AUBERT 07V BABR $e^+e^-$ ≈ $\Upsilon(4S)$
0.23 ± 0.06 ± 0.04 18 2 ALEXANDROV 00 BEAT $\pi^-$ nucleus, 350 GeV
0.173 ± 0.023 ± 0.035 182 3 CHADHA 98 CLE2 $e^+e^-$ ≈ $\Upsilon(4S)$
0.245 ± 0.052 ± 0.074 39 4 ACOSTA 94 CLE2 See CHADHA 98

¹ AUBERT 07V gets $f_{D_S^+} = (283 \pm 17 \pm 16) \text{ MeV}$, using $\Gamma(D_S^+ \to \phi\pi^+)/\Gamma(\text{total}) = (4.71 \pm 0.46)\%$.

² ALEXANDROV 00 uses $f_D^2/f_{D_S^+}^2 = 0.82 \pm 0.09$ from a lattice-gauge-theory calculation to get the relative numbers of $D^+ \to \mu^+\nu_\mu$ and $D_S^+ \to \mu^+\nu_\mu$ events. The present result leads to $f_{D_S^+} = (323 \pm 44 \pm 36) \text{ MeV}$.

³ CHADHA 98 obtains $f_{D_S} = (280 \pm 19 \pm 28 \pm 34) \text{ MeV}$ from this measurement, using $\Gamma(D_S^+ \to \phi\pi^+)/\Gamma(\text{total}) = 0.036 \pm 0.009$.

⁴ ACOSTA 94 obtains $f_{D_S} = (344 \pm 37 \pm 52 \pm 42) \text{ MeV}$ from this measurement, using $\Gamma(D_S^+ \to \phi\pi^+)/\Gamma(\text{total}) = 0.037 \pm 0.009$.

$$ \Gamma(\tau^+ \nu_\tau)/\Gamma_{\text{total}} \qquad \Gamma_{22/\Gamma} $$
See the note on "Decay Constants of Charged Pseudoscalar Mesons" above.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>5.36 ± 0.10</td><td colspan="4">OUR AVERAGE</td></tr><tr><td>5.44 ± 0.17 ± 0.13</td><td>2.4k</td><td>1 ABLIKIM</td><td>23BP BE53</td><td>e<sup>+</sup>e<sup>-</sup> at 4.128-4.226 GeV</td></tr></tbody></table>