# Meson Summary Table

$$f_0(1370)$$

$$I^G(JPC) = 0^{+}(0^{+})$$

See the review on "Spectroscopy of Light Meson Resonances."

$$\text{T-Matrix Pole } \sqrt{s} = (1250-1440) - i (60-300) \text{ MeV}$$

$$\text{Mass (Breit-Wigner)} = 1200 \text{ to } 1500 \text{ MeV}$$

$$\text{Full width (Breit-Wigner)} = 200 \text{ to } 500 \text{ MeV}$$

<table><thead><tr><th>f<sub>0</sub>(1370) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ππ</td><td>seen</td><td>672</td></tr><tr><td>4π</td><td>seen</td><td>617</td></tr><tr><td>4π<sup>0</sup></td><td>seen</td><td>617</td></tr><tr><td>2π<sup>+</sup>2π<sup>-</sup></td><td>seen</td><td>612</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup>2π<sup>0</sup></td><td>seen</td><td>615</td></tr><tr><td>ρρ</td><td>seen</td><td>†</td></tr><tr><td>2(ππ)<sub>S-wave</sub></td><td>seen</td><td>-</td></tr><tr><td>π(1300)π</td><td>seen</td><td>†</td></tr><tr><td>a<sub>1</sub>(1260)π</td><td>seen</td><td>35</td></tr><tr><td>ηη</td><td>seen</td><td>411</td></tr><tr><td>K<span style="text-decoration: overline">K</span></td><td>seen</td><td>475</td></tr><tr><td>K<span style="text-decoration: overline">K</span>nπ</td><td>not seen</td><td>†</td></tr><tr><td>6π</td><td>not seen</td><td>508</td></tr><tr><td>ωω</td><td>not seen</td><td>†</td></tr><tr><td>γγ</td><td>seen</td><td>685</td></tr><tr><td>e<sup>+</sup>e<sup>-</sup></td><td>not seen</td><td>685</td></tr></tbody></table>

$$\eta(1405)$$

$$I^G(JPC) = 0^{+}(0^{-})$$

See the review on "Spectroscopy of Light Meson Resonances." See also $\eta(1475)$.

$$\text{Mass } m = 1408.7^{+2.0}_{-1.2} \text{ MeV (S = 2.2)}$$

$$\text{Full width } \Gamma = 50.3 \pm 2.5 \text{ MeV (S = 1.6)}$$

<table><thead><tr><th>η(1405) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Confidence level</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>K<span style="text-decoration: overline">K</span>π</td><td>seen</td><td></td><td>424</td></tr><tr><td>ηππ</td><td>seen</td><td></td><td>562</td></tr><tr><td>a<sub>0</sub>(980)π</td><td>seen</td><td></td><td>344</td></tr><tr><td>η(ππ)<sub>S-wave</sub></td><td>seen</td><td></td><td>-</td></tr><tr><td>f<sub>0</sub>(980)π<sup>0</sup> → π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>not seen</td><td></td><td>-</td></tr><tr><td>f<sub>0</sub>(980)η</td><td>seen</td><td></td><td>†</td></tr><tr><td>4π</td><td>seen</td><td></td><td>638</td></tr><tr><td>ρρ</td><td></td><td>58%</td><td>†</td></tr><tr><td>ρ<sup>0</sup>γ</td><td>seen</td><td></td><td>491</td></tr><tr><td>K<sup>*</sup>(892)K</td><td>seen</td><td></td><td>122</td></tr></tbody></table>

$$h_1(1415)$$

$$I^G(JPC) = 0^{-}(1^{-})$$

$$\text{Mass } m = 1409^{+9}_{-8} \text{ MeV (S = 1.9)}$$

$$\text{Full width } \Gamma = 78 \pm 11 \text{ MeV}$$

$$\eta_1(1420)$$

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

See the review on "Spectroscopy of Light Meson Resonances."

$$\text{Mass } m = 1428.4^{+1.5}_{-1.3} \text{ MeV (S = 1.8)}$$

$$\text{Full width } \Gamma = 56.7 \pm 3.3 \text{ MeV (S = 1.3)}$$

<table><thead><tr><th>f<sub>1</sub>(1420) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>K<span style="text-decoration: overline">K</span>π</td><td>seen</td><td>440</td></tr><tr><td>K<span style="text-decoration: overline">K</span><sup>*</sup>(892) + c.c.</td><td>seen</td><td>167</td></tr><tr><td>ηππ</td><td>possibly seen</td><td>574</td></tr><tr><td>φγ</td><td>seen</td><td>350</td></tr></tbody></table>

$$\omega(1420) [k]$$

$$I^G(JPC) = 0^{-}(1^{-})$$

$$\text{Mass } m = 1410 \pm 60 \text{ MeV [i]}$$

$$\text{Full width } \Gamma = 290 \pm 190 \text{ MeV [i]}$$

<table><thead><tr><th>ω(1420) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ρπ</td><td>seen</td><td>480</td></tr><tr><td>ωππ</td><td>seen</td><td>437</td></tr></tbody></table>

<table><tbody><tr><td>b<sub>1</sub>(1235)π</td><td>seen</td><td>112</td></tr><tr><td>e<sup>+</sup>e<sup>-</sup></td><td>seen</td><td>705</td></tr></tbody></table>

$$a_0(1450)$$

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

See the review on "Spectroscopy of Light Meson Resonances."

$$\text{T-Matrix Pole } \sqrt{s} = (1290-1500) - i (30-140) \text{ MeV}$$

$$\text{Mass (Breit-Wigner)} = 1439 \pm 34 \text{ MeV (S = 1.8)}$$

$$\text{Full width (Breit-Wigner)} = 258 \pm 14 \text{ MeV}$$

Branching fractions are given relative to the one DEFINED AS 1.

<table><thead><tr><th>a<sub>0</sub>(1450) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>πη</td><td>0.093 ± 0.020</td><td>607</td></tr><tr><td>πη'(958)</td><td>0.033 ± 0.017</td><td>384</td></tr><tr><td>K<span style="text-decoration: overline">K</span></td><td>0.082 ± 0.028</td><td>523</td></tr><tr><td>ωππ</td><td></td><td>458</td></tr><tr><td>a<sub>0</sub>(980)ππ</td><td>seen</td><td>310</td></tr><tr><td>γγ</td><td>seen</td><td>719</td></tr></tbody></table>

$$\rho(1450)$$

$$I^G(JPC) = 1^{+}(1^{-})$$

See the review on "Spectroscopy of Light Meson Resonances."

$$\text{Mass } m = 1465 \pm 25 \text{ MeV [i]}$$

$$\text{Full width } \Gamma = 400 \pm 60 \text{ MeV [i]}$$

<table><thead><tr><th>ρ(1450) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ππ</td><td>seen</td><td>720</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup></td><td>seen</td><td>719</td></tr><tr><td>4π</td><td>seen</td><td>669</td></tr><tr><td>e<sup>+</sup>e<sup>-</sup></td><td>seen</td><td>732</td></tr><tr><td>ηρ</td><td>seen</td><td>311</td></tr><tr><td>a<sub>2</sub>(1320)π</td><td>not seen</td><td>55</td></tr><tr><td>K<span style="text-decoration: overline">K</span></td><td>seen</td><td>541</td></tr><tr><td>K<sup>+</sup>K<sup>-</sup></td><td>seen</td><td>541</td></tr><tr><td>K<span style="text-decoration: overline">K</span><sup>*</sup>(892) + c.c.</td><td>possibly seen</td><td>229</td></tr><tr><td>π<sup>0</sup>γ</td><td>seen</td><td>726</td></tr><tr><td>ηγ</td><td>seen</td><td>630</td></tr><tr><td>f<sub>0</sub>(500)γ</td><td>not seen</td><td>-</td></tr><tr><td>f<sub>0</sub>(980)γ</td><td>not seen</td><td>398</td></tr><tr><td>f<sub>0</sub>(1370)γ</td><td>not seen</td><td>92</td></tr><tr><td>f<sub>2</sub>(1270)γ</td><td>not seen</td><td>177</td></tr></tbody></table>

$$\eta(1475)$$

$$I^G(JPC) = 0^{+}(0^{-})$$

See the review on "Spectroscopy of Light Meson Resonances." See also $\eta(1405)$.

$$\text{Mass } m = 1476 \pm 4 \text{ MeV (S = 1.4)}$$

$$\text{Full width } \Gamma = 96 \pm 9 \text{ MeV (S = 1.7)}$$

<table><thead><tr><th>η(1475) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>K<span style="text-decoration: overline">K</span>π</td><td>seen</td><td>477</td></tr><tr><td>K<span style="text-decoration: overline">K</span><sup>*</sup>(892) + c.c.</td><td>seen</td><td>245</td></tr><tr><td>a<sub>0</sub>(980)π</td><td>seen</td><td>396</td></tr><tr><td>γγ</td><td>seen</td><td>738</td></tr><tr><td>K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub>η</td><td>possibly seen</td><td>†</td></tr><tr><td>γφ(1020)</td><td>possibly seen</td><td>386</td></tr></tbody></table>

$$f_0(1500)$$

$$I^G(JPC) = 0^{+}(0^{+})$$

See the review on "Spectroscopy of Light Meson Resonances."

$$\text{T-Matrix Pole } \sqrt{s} = (1430-1530) - i (40-90) \text{ MeV}$$

$$\text{Mass (Breit-Wigner)} = 1522 \pm 25 \text{ MeV}$$

$$\text{Full width (Breit-Wigner)} = 108 \pm 33 \text{ MeV}$$

<table><thead><tr><th>f<sub>0</sub>(1500) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Scale factor</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ππ</td><td>(34.5 ± 2.2) %</td><td>1.2</td><td>749</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup></td><td>seen</td><td></td><td>748</td></tr><tr><td>2π<sup>0</sup></td><td>seen</td><td></td><td>749</td></tr><tr><td>4π</td><td>(48.9 ± 3.3) %</td><td>1.2</td><td>700</td></tr><tr><td>4π<sup>0</sup></td><td>seen</td><td></td><td>700</td></tr></tbody></table>
Meson Summary Table

<table><tbody><tr><td>2π<sup>+</sup>2π<sup>-</sup></td><td>seen</td><td>696</td></tr><tr><td>2(ππ)S-wave</td><td>seen</td><td>-</td></tr><tr><td>ρρ</td><td>seen</td><td>†</td></tr><tr><td>π(1300)π</td><td>seen</td><td>163</td></tr><tr><td>a<sub>1</sub>(1260)π</td><td>seen</td><td>234</td></tr><tr><td>ηη</td><td>( 6.0±0.9) %</td><td>1.1</td><td>528</td></tr><tr><td>ηη'(958)</td><td>( 2.2±0.8) %</td><td>1.4</td><td>107</td></tr><tr><td>K<span style="text-decoration: overline">K</span></td><td>( 8.5±1.0) %</td><td>1.1</td><td>579</td></tr><tr><td>γγ</td><td>not seen</td><td></td><td>761</td></tr></tbody></table>

$f_2'(1525)$

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

Mass $m = 1517.3 \pm 2.4$ MeV (S = 2.8)
Full width $\Gamma = 72^{+7}_{-6}$ MeV

<table><thead><tr><th><i>f</i>'<sub>2</sub>(1525) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>K<span style="text-decoration: overline">K</span></td><td>(88.8 ± 2.2) %</td><td>576</td></tr><tr><td>ηη</td><td>(10.3 ± 2.2) %</td><td>525</td></tr><tr><td>ππ</td><td>( 8.2 ± 1.5) × 10<sup>-3</sup></td><td>747</td></tr><tr><td>γγ</td><td>( 1.12 ± 0.15) × 10<sup>-6</sup></td><td>759</td></tr></tbody></table>

$f_2(1656)$

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

See the review on "Spectroscopy of Light Meson Resonances."

T-Matrix Pole $\sqrt{s} = (1495-1560) - i (40-110)$ MeV

Mass (Breit-Wigner) = 1571 ± 13 MeV

Full width (Breit-Wigner) = 132 ± 23 MeV (S = 1.1)

<table><thead><tr><th><i>f</i>'<sub>2</sub>(1656) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ππ</td><td>seen</td><td>774</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup></td><td>seen</td><td>773</td></tr><tr><td>π<sup>0</sup>π<sup>0</sup></td><td>seen</td><td>774</td></tr><tr><td>ρ<sup>0</sup>ρ<sup>0</sup></td><td>seen</td><td>125</td></tr><tr><td>2π<sup>+</sup>2π<sup>-</sup></td><td>seen</td><td>722</td></tr><tr><td>ηη</td><td>seen</td><td>563</td></tr><tr><td>ωω</td><td>seen</td><td>64</td></tr><tr><td>K<span style="text-decoration: overline">K</span></td><td>seen</td><td>611</td></tr><tr><td>γγ</td><td>seen</td><td>785</td></tr></tbody></table>

$\pi_1(1600)$

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

See the review on "Spectroscopy of Light Meson Resonances."

Mass (T-Matrix Pole $\sqrt{s} = (1480-1680) - i (150-300)$) MeV

Mass (Breit-Wigner, $\eta\pi$ mode) = 1354 ± 25 MeV (S = 1.8)

Mass (Breit-Wigner, non-$\eta\pi$ mode) = 1645<sub>-17</sub> MeV (S = 1.3)

Full width (Breit-Wigner, $\eta\pi$ mode) = 330 ± 35 MeV

Full width (Breit-Wigner, non-$\eta\pi$ mode) = 370<sub>-60</sub> MeV

<table><thead><tr><th><i>π</i><sub>1</sub>(1600) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>πππ</td><td>seen</td><td>795</td></tr><tr><td>ρ<sup>0</sup>π<sup>-</sup></td><td>seen</td><td>631</td></tr><tr><td>f<sub>2</sub>(1270)π<sup>-</sup></td><td>not seen</td><td>304</td></tr><tr><td>b<sub>1</sub>(1235)π</td><td>seen</td><td>343</td></tr><tr><td>η'(958)π<sup>-</sup></td><td>seen</td><td>532</td></tr><tr><td>ηπ</td><td>seen</td><td>725</td></tr><tr><td>f<sub>1</sub>(1285)π</td><td>seen</td><td>300</td></tr></tbody></table>

$a_1(1640)$

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

Mass $m = 1655 \pm 16$ MeV (S = 1.2)

Full width $\Gamma = 250 \pm 40$ MeV (S = 1.8)

<table><thead><tr><th><i>a</i><sub>1</sub>(1640) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>πππ</td><td>seen</td><td>800</td></tr><tr><td>f<sub>2</sub>(1270)π</td><td>seen</td><td>314</td></tr><tr><td>σπ</td><td>seen</td><td>-</td></tr><tr><td>ρπ<sub>S-wave</sub></td><td>seen</td><td>638</td></tr></tbody></table>

<table><tbody><tr><td>ρπ<sub>D-wave</sub></td><td>seen</td><td>638</td></tr><tr><td>ωππ</td><td>seen</td><td>607</td></tr><tr><td>f<sub>1</sub>(1285)π</td><td>seen</td><td>309</td></tr><tr><td>a<sub>1</sub>(1260)η</td><td>not seen</td><td>†</td></tr></tbody></table>

$\eta_2(1645)$

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

Mass $m = 1617 \pm 5$ MeV

Full width $\Gamma = 181 \pm 11$ MeV

<table><thead><tr><th>η<sub>2</sub>(1645) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>a<sub>2</sub>(1320)π</td><td>seen</td><td>242</td></tr><tr><td>K<span style="text-decoration: overline">K</span>π</td><td>seen</td><td>580</td></tr><tr><td>K<sup>*</sup>K</td><td>seen</td><td>404</td></tr><tr><td>ηπ<sup>+</sup>π<sup>-</sup></td><td>seen</td><td>685</td></tr><tr><td>a<sub>0</sub>(980)π</td><td>seen</td><td>499</td></tr><tr><td>f<sub>2</sub>(1270)η</td><td>not seen</td><td>†</td></tr></tbody></table>

$\omega(1650) [I]$

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

Mass $m = 1670 \pm 30$ MeV [I]

Full width $\Gamma = 315 \pm 35$ MeV [I]

<table><thead><tr><th>ω(1650) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ρπ</td><td>seen</td><td>647</td></tr><tr><td>ρ(1450)π</td><td>seen</td><td>145</td></tr><tr><td>ωππ</td><td>seen</td><td>617</td></tr><tr><td>ωη</td><td>seen</td><td>500</td></tr><tr><td>e<sup>+</sup>e<sup>-</sup></td><td>seen</td><td>835</td></tr><tr><td>π<sup>0</sup>γ</td><td>not seen</td><td>830</td></tr></tbody></table>

$\omega_3(1670)$

$I^G(J^{PC}) = 0^{-}(3^{--})$

Mass $m = 1667 \pm 4$ MeV

Full width $\Gamma = 168 \pm 10$ MeV

<table><thead><tr><th>ω<sub>3</sub>(1670) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ρπ</td><td>seen</td><td>645</td></tr><tr><td>ωππ</td><td>seen</td><td>615</td></tr><tr><td>b<sub>1</sub>(1235)π</td><td>possibly seen</td><td>361</td></tr></tbody></table>

$\pi_2(1670)$

$I^G(J^{PC}) = 1^{-}(2^{--})$

Mass $m = 1670.6^{+2.9}_{-1.2}$ MeV (S = 1.3)

Full width $\Gamma = 258^{+8}_{-9}$ MeV (S = 1.2)

<table><thead><tr><th>π<sub>2</sub>(1670) DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Confidence level</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>3π</td><td>(95.8±1.4) %</td><td></td><td>808</td></tr><tr><td>f<sub>2</sub>(1270)π</td><td>(56.3±3.2) %</td><td></td><td>327</td></tr><tr><td>ρπ</td><td>(31 ± 4) %</td><td></td><td>647</td></tr><tr><td>σπ</td><td>(10 ± 4) %</td><td></td><td>-</td></tr><tr><td>π(ππ)<sub>S-wave</sub></td><td>(8.7±3.4) %</td><td></td><td>-</td></tr><tr><td>π<sup>±</sup>π<sup>+</sup>π<sup>-</sup></td><td>(53 ± 4) %</td><td></td><td>806</td></tr><tr><td>K<span style="text-decoration: overline">K</span><sup>*</sup>(892) + c.c.</td><td>( 4.2±1.4) %</td><td></td><td>453</td></tr><tr><td>ωρ</td><td>( 2.7±1.1) %</td><td></td><td>302</td></tr><tr><td>π<sup>±</sup>γ</td><td>( 7.0±1.2) × 10<sup>-4</sup></td><td></td><td>829</td></tr><tr><td>γγ</td><td>&lt; 2.8 × 10<sup>-7</sup></td><td>90%</td><td>835</td></tr><tr><td>ηπ</td><td>&lt; 5 %</td><td></td><td>739</td></tr><tr><td>π<sup>±</sup>2π<sup>+</sup>2π<sup>-</sup></td><td>&lt; 5 %</td><td></td><td>735</td></tr><tr><td>ρ(1450)π</td><td>&lt; 3.6 × 10<sup>-3</sup></td><td>97.7%</td><td>145</td></tr><tr><td>b<sub>1</sub>(1235)π</td><td>&lt; 1.9 × 10<sup>-3</sup></td><td>97.7%</td><td>364</td></tr><tr><td>f<sub>1</sub>(1285)π</td><td>possibly seen</td><td></td><td>322</td></tr><tr><td>a<sub>2</sub>(1320)π</td><td>not seen</td><td></td><td>291</td></tr></tbody></table>

$\phi(1680)$

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

Mass $m = 1680 \pm 20$ MeV [I]

Full width $\Gamma = 150 \pm 50$ MeV [I]
<table><caption>φ(1680) DECAY MODES</caption><thead><tr><th></th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>K<span style="text-decoration: overline">K</span>*</td><td>seen</td><td>462</td></tr><tr><td>K<sup>0</sup><sub>0</sub>Kπ</td><td>seen</td><td>621</td></tr><tr><td>K<span style="text-decoration: overline">K</span></td><td>seen</td><td>680</td></tr><tr><td>e<sup>+</sup>e<sup>-</sup></td><td>seen</td><td>840</td></tr><tr><td>ωππ</td><td>not seen</td><td>623</td></tr><tr><td>K<sup>+</sup>K<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td><td>seen</td><td>544</td></tr><tr><td>ηφ</td><td>seen</td><td>290</td></tr><tr><td>ηγ</td><td>seen</td><td>751</td></tr><tr><td>f'<sub>2</sub>(1525)γ</td><td>not seen</td><td>155</td></tr></tbody></table>

### ρ<sub>3</sub>(1690)

$$I^G(J^{PC}) = 1^+(3^{--})$$

Mass $m = 1688.8 \pm 2.1$ MeV
Full width $Γ = 161 \pm 10$ MeV (S = 1.5)

<table><caption>ρ<sub>3</sub>(1690) DECAY MODES</caption><thead><tr><th></th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Scale factor</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>4π</td><td>(71.1 ± 1.9) %</td><td></td><td>790</td></tr><tr><td>π<sup>±</sup>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>(67 ± 22) %</td><td></td><td>787</td></tr><tr><td>ωπ</td><td>(16 ± 6) %</td><td></td><td>655</td></tr><tr><td>ππ</td><td>(23.6 ± 1.3) %</td><td></td><td>834</td></tr><tr><td>K<span style="text-decoration: overline">K</span>π</td><td>(3.8 ± 1.2) %</td><td></td><td>629</td></tr><tr><td>K<span style="text-decoration: overline">K</span></td><td>(1.58 ± 0.26) %</td><td>1.2</td><td>685</td></tr><tr><td>ηπ<sup>+</sup>π<sup>-</sup></td><td>seen</td><td></td><td>727</td></tr><tr><td>ρ(770)η</td><td>seen</td><td></td><td>520</td></tr><tr><td>ππρ</td><td>seen</td><td></td><td>633</td></tr><tr><td>σ<sub>2</sub>(1320)π</td><td>seen</td><td></td><td>307</td></tr><tr><td>ρρ</td><td>seen</td><td></td><td>335</td></tr></tbody></table>

### ρ<sub>1</sub>(1700)

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

See the review on "Spectroscopy of Light Meson Resonances."

Mass $m = 1720 \pm 20$ MeV [I] ($ηρ^0$ and $π^+π^-$ modes)

Full width $Γ = 250 \pm 100$ MeV [I] ($ηρ^0$ and $π^+π^-$ modes)

<table><caption>ρ<sub>1</sub>(1700) DECAY MODES</caption><thead><tr><th></th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>2(π<sup>+</sup>π<sup>-</sup>)</td><td>seen</td><td>803</td></tr><tr><td>ρππ</td><td>seen</td><td>653</td></tr><tr><td>ρ<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td><td>seen</td><td>651</td></tr><tr><td>ρ<sup>±</sup>π<sup>+</sup>π<sup>0</sup></td><td>seen</td><td>652</td></tr><tr><td>a<sub>1</sub>(1260)π</td><td>seen</td><td>404</td></tr><tr><td>h<sub>1</sub>(1170)π</td><td>seen</td><td>450</td></tr><tr><td>π(1300)π</td><td>seen</td><td>349</td></tr><tr><td>ρρ</td><td>seen</td><td>372</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup></td><td>seen</td><td>849</td></tr><tr><td>ππ</td><td>seen</td><td>849</td></tr><tr><td>K<span style="text-decoration: overline">K</span>*</td><td>seen</td><td>496</td></tr><tr><td>ηρ</td><td>seen</td><td>545</td></tr><tr><td>σ<sub>2</sub>(1320)π</td><td>not seen</td><td>334</td></tr><tr><td>K<span style="text-decoration: overline">K</span></td><td>seen</td><td>704</td></tr><tr><td>e<sup>+</sup>e<sup>-</sup></td><td>seen</td><td>860</td></tr><tr><td>π<sup>0</sup>ω</td><td>seen</td><td>674</td></tr><tr><td>π<sup>0</sup>γ</td><td>not seen</td><td>855</td></tr><tr><td>f<sub>0</sub>(1500)γ</td><td>not seen</td><td>187</td></tr></tbody></table>

### a<sub>2</sub>(1700)

$$I^G(J^{PC}) = 1^{-(2^{++})}$$

T-Matrix Pole $\sqrt{s} = (1630-1780) - i (60-250)$ MeV
Mass $m = 1706 \pm 14$ MeV (S = 1.2)
Full width $Γ = 380_{-50}^{+60}$ MeV (S = 3.9)

<table><caption>a<sub>2</sub>(1700) DECAY MODES</caption><thead><tr><th></th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ηπ</td><td>(2.5 ± 0.6) %</td><td>758</td></tr><tr><td>η'π</td><td>seen</td><td>574</td></tr><tr><td>γγ</td><td>(7.9 ± 1.7) × 10<sup>-7</sup></td><td>853</td></tr><tr><td>ρπ</td><td>seen</td><td>669</td></tr><tr><td>f<sub>2</sub>(1270)π</td><td>seen</td><td>357</td></tr><tr><td>K<span style="text-decoration: overline">K</span></td><td>(1.3 ± 0.8) %</td><td>695</td></tr><tr><td>ωπ<sup>-</sup>π<sup>0</sup></td><td>seen</td><td>639</td></tr><tr><td>ωρ</td><td>seen</td><td>347</td></tr></tbody></table>

### f<sub>0</sub>(1710)

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

See the review on "Spectroscopy of Light Meson Resonances."

T-matrix pole $\sqrt{s} = (1680-1820) - i (50-180)$ MeV
Mass (Breit-Wigner) = $1733_{-7}^{+8}$ MeV (S = 1.5)

Full width (Breit-Wigner) = $150_{-10}^{+12}$ MeV (S = 1.3)

<table><caption>f<sub>0</sub>(1710) DECAY MODES</caption><thead><tr><th></th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>K<span style="text-decoration: overline">K</span></td><td>seen</td><td>712</td></tr><tr><td>ηη</td><td>seen</td><td>671</td></tr><tr><td>ηη'</td><td>not seen</td><td>417</td></tr><tr><td>ππ</td><td>seen</td><td>856</td></tr><tr><td>γγ</td><td>seen</td><td>866</td></tr><tr><td>ωω</td><td>seen</td><td>372</td></tr></tbody></table>

### π<sub>1</sub>(1800)

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

See the review on "Spectroscopy of Light Meson Resonances."

Mass $m = 1810_{-11}^{+9}$ MeV (S = 2.2)

Full width $Γ = 215_{-8}^{+7}$ MeV

<table><caption>π<sub>1</sub>(1800) DECAY MODES</caption><thead><tr><th></th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>π<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td><td>seen</td><td>878</td></tr><tr><td>f<sub>0</sub>(500)π<sup>-</sup></td><td>seen</td><td>-</td></tr><tr><td>f<sub>0</sub>(980)π<sup>-</sup></td><td>seen</td><td>624</td></tr><tr><td>f<sub>0</sub>(1370)π<sup>-</sup></td><td>seen</td><td>366</td></tr><tr><td>f<sub>0</sub>(1500)π<sup>-</sup></td><td>not seen</td><td>232</td></tr><tr><td>ρπ<sup>-</sup></td><td>not seen</td><td>731</td></tr><tr><td>ηηπ<sup>-</sup></td><td>seen</td><td>660</td></tr><tr><td>a<sub>0</sub>(980)η</td><td>seen</td><td>471</td></tr><tr><td>a<sub>2</sub>(1320)η</td><td>not seen</td><td>†</td></tr><tr><td>f<sub>2</sub>(1270)π</td><td>not seen</td><td>441</td></tr><tr><td>f<sub>0</sub>(1370)π<sup>-</sup></td><td>not seen</td><td>366</td></tr><tr><td>f<sub>0</sub>(1500)π<sup>-</sup></td><td>seen</td><td>232</td></tr><tr><td>ηη'(958)π<sup>-</sup></td><td>seen</td><td>373</td></tr><tr><td>K<sup>*</sup><sub>0</sub>(1430)K<sup>-</sup></td><td>seen</td><td>†</td></tr><tr><td>K<sup>*</sup>(892)K<sup>-</sup></td><td>not seen</td><td>568</td></tr></tbody></table>

### φ<sub>3</sub>(1850)

$$I^G(J^{PC}) = 0^{-(3^{--})}$$

Mass $m = 1854 \pm 7$ MeV
Full width $Γ = 87_{-23}^{+28}$ MeV (S = 1.2)

<table><caption>φ<sub>3</sub>(1850) DECAY MODES</caption><thead><tr><th></th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>K<span style="text-decoration: overline">K</span></td><td>seen</td><td>785</td></tr><tr><td>K<span style="text-decoration: overline">K</span>*</td><td>seen</td><td>602</td></tr></tbody></table>

### η<sub>2</sub>(1870)

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

Mass $m = 1842 \pm 8$ MeV
Full width $Γ = 225 \pm 14$ MeV

<table><caption>η<sub>2</sub>(1870) DECAY MODES</caption><thead><tr><th></th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ηππ</td><td>seen</td><td>816</td></tr><tr><td>a<sub>2</sub>(1320)π</td><td>seen</td><td>434</td></tr><tr><td>f<sub>2</sub>(1270)η</td><td>seen</td><td>119</td></tr><tr><td>a<sub>0</sub>(980)π</td><td>seen</td><td>651</td></tr><tr><td>γγ</td><td>seen</td><td>921</td></tr></tbody></table>

### π<sub>2</sub>(1880)

$$I^G(J^{PC}) = 1^{-(2^{--})}$$

Mass $m = 1874_{-5}^{+26}$ MeV (S = 1.6)
Full width $Γ = 237_{-30}^{+33}$ MeV (S = 1.2)

<table><caption>π<sub>2</sub>(1880) DECAY MODES</caption><thead><tr><th></th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ηηπ<sup>-</sup></td><td>seen</td><td>702</td></tr><tr><td>a<sub>0</sub>(980)η</td><td>seen</td><td>528</td></tr><tr><td>a<sub>2</sub>(1320)η</td><td>seen</td><td>76</td></tr><tr><td>f<sub>0</sub>(1500)π</td><td>seen</td><td>294</td></tr><tr><td>f<sub>1</sub>(1285)π</td><td>seen</td><td>485</td></tr><tr><td>ωπ<sup>-</sup>π<sup>0</sup></td><td>seen</td><td>744</td></tr></tbody></table>
f₂(1950)

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

T-Matrix Pole $\sqrt{s} = (1830-2020) - i (110-220)$ MeV

Mass (Breit-Wigner) = 1936 ± 12 MeV (S = 1.3)

Full width (Breit-Wigner) = 464 ± 24 MeV

<table><thead><tr><th>f₂(1950) DECAY MODES</th><th>Fraction (Γᵢ/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>K<sup>*</sup>(892)K<sup>*</sup>(892)</td><td>seen</td><td>377</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup></td><td>seen</td><td>958</td></tr><tr><td>π<sup>0</sup>π<sup>0</sup></td><td>seen</td><td>959</td></tr><tr><td>4π</td><td>seen</td><td>921</td></tr><tr><td>ηη</td><td>seen</td><td>798</td></tr><tr><td>KK</td><td>seen</td><td>833</td></tr><tr><td>γγ</td><td>seen</td><td>968</td></tr><tr><td>ρρ</td><td>seen</td><td>238</td></tr></tbody></table>

a₄(1970)

$I^G(JPC) = 1^{+}(4^{++})$

Mass m = 1967 ± 16 MeV (S = 2.1)

Full width Γ = 324<sup>+15</sup><sub>-18</sub> MeV

<table><thead><tr><th>a₄(1970) DECAY MODES</th><th>Fraction (Γᵢ/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>KK</td><td>seen</td><td>851</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>seen</td><td>959</td></tr><tr><td>ρπ</td><td>seen</td><td>825</td></tr><tr><td>f₂(1270)π</td><td>seen</td><td>559</td></tr><tr><td>ωπ<sup>-</sup>π<sup>0</sup></td><td>seen</td><td>801</td></tr><tr><td>ωρ</td><td>seen</td><td>601</td></tr><tr><td>ηπ</td><td>seen</td><td>902</td></tr><tr><td>η'(958)π</td><td>seen</td><td>743</td></tr></tbody></table>

f₂(2010)

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

Mass m = 2010<sup>+60</sup><sub>-80</sub> MeV

Full width Γ = 200 ± 60 MeV

<table><thead><tr><th>f₂(2010) DECAY MODES</th><th>Fraction (Γᵢ/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>φφ</td><td>seen</td><td>†</td></tr><tr><td>KK</td><td>seen</td><td>876</td></tr></tbody></table>

f₆(2020)

$I^G(JPC) = 0^{+}(0^{++})$

T-Matrix Pole $\sqrt{s} = (1870-2080) - i (120-240)$ MeV

Mass (Breit-Wigner) = 1982<sup>+54.1</sup><sub>-3.0</sub> MeV

Full width (Breit-Wigner) = 440 ± 50 MeV

<table><thead><tr><th>f₆(2020) DECAY MODES</th><th>Fraction (Γᵢ/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ρππ</td><td>seen</td><td>814</td></tr><tr><td>π<sup>0</sup>π<sup>0</sup></td><td>seen</td><td>982</td></tr><tr><td>ρρ</td><td>seen</td><td>617</td></tr><tr><td>ωω</td><td>seen</td><td>608</td></tr><tr><td>ηη</td><td>seen</td><td>826</td></tr><tr><td>η'η'</td><td>seen</td><td>254</td></tr></tbody></table>

f₄(2050)

$I^G(JPC) = 0^{+}(4^{++})$

Mass m = 2018 ± 11 MeV (S = 2.1)

Full width Γ = 237 ± 18 MeV (S = 1.9)

<table><thead><tr><th>f₄(2050) DECAY MODES</th><th>Fraction (Γᵢ/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>ωω</td><td>seen</td><td>637</td></tr><tr><td>ππ</td><td>(17.0 ± 1.5) %</td><td>1000</td></tr><tr><td>KK</td><td>( 6.8<sup>+3.4</sup><sub>-1.8</sub> ) × 10<sup>-3</sup></td><td>880</td></tr><tr><td>ηη</td><td>( 2.1 ± 0.8 ) × 10<sup>-3</sup></td><td>848</td></tr><tr><td>4π<sup>0</sup></td><td>&lt; 1.2 %</td><td>964</td></tr><tr><td>γγ</td><td>seen</td><td>1009</td></tr><tr><td>a₂(1320)π</td><td>seen</td><td>567</td></tr></tbody></table>

φ(2170)

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

Mass m = 2164 ± 6 MeV

Full width Γ = 106<sup>+24</sup><sub>-18</sub> MeV (S = 2.0)

<table><thead><tr><th>φ(2170) DECAY MODES</th><th>Fraction (Γᵢ/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>e<sup>+</sup>e<sup>-</sup></td><td>seen</td><td>1082</td></tr><tr><td>φη</td><td>seen</td><td>728</td></tr><tr><td>ωη</td><td>seen</td><td>848</td></tr><tr><td>φη'</td><td>seen</td><td>440</td></tr><tr><td>φππ</td><td>seen</td><td>815</td></tr><tr><td>φf₀(980)</td><td>seen</td><td>402</td></tr><tr><td>K<sup>+</sup>K<sup>-</sup>f₀(980) → K<sup>+</sup>K<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td><td>seen</td><td>-</td></tr><tr><td>K<sup>+</sup>K<sup>-</sup>f₀(980) → K<sup>+</sup>K<sup>-</sup>π<sup>0</sup>π<sup>0</sup></td><td>seen</td><td>-</td></tr><tr><td>K<sup>*0</sup>K<sup>±</sup>π<sup>∓</sup></td><td>not seen</td><td>762</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup>K<sup>*</sup>(892)<sup>0</sup></td><td>not seen</td><td>613</td></tr></tbody></table>

f₂(2300)

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

Mass m = 2297 ± 28 MeV

Full width Γ = 150 ± 40 MeV

<table><thead><tr><th>f₂(2300) DECAY MODES</th><th>Fraction (Γᵢ/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>φφ</td><td>seen</td><td>529</td></tr><tr><td>KK</td><td>seen</td><td>1037</td></tr><tr><td>γγ</td><td>seen</td><td>1149</td></tr><tr><td>ΛΛ</td><td>seen</td><td>273</td></tr></tbody></table>

f₂(2340)

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

Mass m = 2346<sup>+21</sup><sub>-10</sub> MeV

Full width Γ = 331<sup>+27</sup><sub>-18</sub> MeV

<table><thead><tr><th>f₂(2340) DECAY MODES</th><th>Fraction (Γᵢ/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>φφ</td><td>seen</td><td>580</td></tr><tr><td>ηη</td><td>seen</td><td>1037</td></tr><tr><td>η'η'</td><td>seen</td><td>677</td></tr></tbody></table>

STRANGE MESONS

$(S = \pm 1, C = B = 0)$

K⁺ = uū, K⁰ = dū, K⁰ = dū, K⁻ = vū, similarly for K⁺'s

K⁺

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

Mass m = 493.677 ± 0.015 MeV [$\eta$] (S = 2.8)

Mean life $\tau = (1.2380 \pm 0.0020) \times 10^{-8}$ s (S = 1.8)

$c\tau = 3.711$ m

CPT violation parameters (Δ = rate difference/sum)

$\Delta(K^{\pm} \rightarrow \mu^{\pm} \nu_{\mu}) = (-0.27 \pm 0.21)\%$

$\Delta(K^{\pm} \rightarrow \pi^{\pm} \pi^{0}) = (0.4 \pm 0.6)\%$ [$\eta$]

CP violation parameters (Δ = rate difference/sum)

$\Delta(K^{\pm} \rightarrow \pi^{\pm} e^{+} e^{-}) = (-2.2 \pm 1.6) \times 10^{-2}$

$\Delta(K^{\pm} \rightarrow \pi^{\pm} \mu^{+} \mu^{-}) = 0.010 \pm 0.023$

$\Delta(K^{\pm} \rightarrow \pi^{\pm} \pi^{0} \gamma) = (0.0 \pm 1.2) \times 10^{-3}$

$\Delta(K^{\pm} \rightarrow \pi^{\pm} \pi^{+} \pi^{-}) = (0.04 \pm 0.06)\%$

$\Delta(K^{\pm} \rightarrow \pi^{\pm} \pi^{0} \pi^{0}) = (-0.02 \pm 0.28)\%$

T violation parameters

$K^{+} \rightarrow \pi^{0} \mu^{+} \nu_{\mu} \quad P_{T} = (-1.7 \pm 2.5) \times 10^{-3}$

$K^{+} \rightarrow \mu^{+} \nu_{\mu} \gamma \quad P_{T} = (-0.6 \pm 1.9) \times 10^{-2}$

$K^{+} \rightarrow \pi^{0} \mu^{+} \nu_{\mu} \quad \mathrm{Im}(\xi) = -0.006 \pm 0.008$

Slope parameter g [$\eta$]

(See Particle Listings for quadratic coefficients and alternative parametrization related to $\pi\pi$ scattering)

$K^{\pm} \rightarrow \pi^{\pm} \pi^{+} \pi^{-} g = -0.21134 \pm 0.00017$

$\frac{(g_{+} - g_{-})}{(g_{+} + g_{-})} = (-1.5 \pm 2.2) \times 10^{-4}$

$K^{\pm} \rightarrow \pi^{\pm} \pi^{0} \pi^{0} g = 0.626 \pm 0.007$

$\frac{(g_{+} - g_{-})}{(g_{+} + g_{-})} = (1.8 \pm 1.8) \times 10^{-4}$
## K$^{\pm}$ decay form factors [a,q]

Assuming $\mu$-$e$ universality

$$ 
\begin{aligned}
\lambda_+(K_{\mu 3}^{+}) &= \lambda_+(K_{e3}^{+}) = (2.959 \pm 0.025) \times 10^{-2} \\
\lambda_0(K_{\mu 3}^{+}) &= (1.76 \pm 0.25) \times 10^{-2} \quad (S = 2.7)
\end{aligned}
$$

Not assuming $\mu$-$e$ universality

$$ 
\begin{aligned}
\lambda_+(K_{e3}^{+}) &= (2.956 \pm 0.025) \times 10^{-2} \\
\lambda_+(K_{\mu 3}^{+}) &= (3.09 \pm 0.25) \times 10^{-2} \quad (S = 1.5) \\
\lambda_0(K_{\mu 3}^{+}) &= (1.73 \pm 0.27) \times 10^{-2} \quad (S = 2.6)
\end{aligned}
$$

$K_{e3}$ form factor quadratic fit

$$ 
\begin{aligned}
\lambda'_+(K_{e3}^{\pm}) \text{ linear coeff.} &= (2.59 \pm 0.04) \times 10^{-2} \\
\lambda''_+(K_{e3}^{\pm}) \text{ quadratic coeff.} &= (0.186 \pm 0.021) \times 10^{-2}
\end{aligned}
$$

$$ 
\begin{aligned}
\lambda'_+(\text{LINEAR } K_{\mu 3}^{\pm} \text{ FORM FACTOR FROM QUADRATIC FIT}) \\
= (24 \pm 4) \times 10^{-3}
\end{aligned}
$$

$$ \lambda''_+(\text{QUADRATIC } K_{\mu 3}^{\pm} \text{ FORM FACTOR}) = (1.8 \pm 1.5) \times 10^{-3} $$

$$ M_V (\text{VECTOR POLE MASS FOR } K_{e3}^{\pm} \text{ DECAY}) = 890.3 \pm 2.8 \text{ MeV} $$

$$ M_V (\text{VECTOR POLE MASS FOR } K_{\mu 3}^{\pm} \text{ DECAY}) = 878 \pm 12 \text{ MeV} $$

$$ M_S (\text{SCALAR POLE MASS FOR } K_{\mu 3}^{\pm} \text{ DECAY}) = 1210 \pm 50 \text{ MeV} $$

$$ \Lambda_+(\text{DISPERSIVE VECTOR FORM FACTOR IN } K_{e3}^{\pm} \text{ DECAY}) = (2.460 \pm 0.017) \times 10^{-2} $$

$$ \Lambda_+(\text{DISPERSIVE VECTOR FORM FACTOR IN } K_{\mu 3}^{\pm} \text{ DECAY}) = (25.4 \pm 0.9) \times 10^{-3} $$

$$ \ln(C) (\text{DISPERSIVE SCALAR FORM FACTOR in } K_{\mu 3}^{\pm} \text{ decays}) = (182 \pm 16) \times 10^{-3} $$

$$ K_{e3}^{+} |f_S/f_{+}| = (-0.08^{+0.34}_{-0.40}) \times 10^{-2} $$

$$ K_{e3}^{+} |f_T/f_{+}| = (-1.2^{+1.3}_{-1.1}) \times 10^{-2} $$

$$ K_{\mu 3}^{+} |f_S/f_{+}| = (0.2 \pm 0.6) \times 10^{-2} $$

$$ K_{\mu 3}^{+} |f_T/f_{+}| = (-0.1 \pm 0.7) \times 10^{-2} $$

$$ K^+ \rightarrow e^+ \nu_e \quad |F_A + F_V| = 0.133 \pm 0.008 \quad (S = 1.3) $$

$$ K^+ \rightarrow \mu^+ \nu_\mu \quad |F_A + F_V| = 0.165 \pm 0.013 $$

$$ K^+ \rightarrow e^+ \nu_e \quad |F_A - F_V| < 0.49, \text{ CL = 90\%} $$

$$ K^+ \rightarrow \mu^+ \nu_\mu \quad |F_A - F_V| = -0.153 \pm 0.033 \quad (S = 1.1) $$

## Charge radius

$$ \langle r \rangle = 0.560 \pm 0.031 \text{ fm} $$

## Forward-backward asymmetry

$$ A_{FB}(K_{\pi \mu \mu}^{\pm}) = \frac{\Gamma(\cos(\theta_{K\mu})>0) - \Gamma(\cos(\theta_{K\mu})<0)}{\Gamma(\cos(\theta_{K\mu})>0) + \Gamma(\cos(\theta_{K\mu})<0)} < 0.9 \times 10^{-2}, \text{ CL} \\ = 90\% $$

$K^-$ modes are charge conjugates of the modes below.

<table><thead><tr><th>K<sup>+</sup> DECAY MODES</th><th>Fraction (Γ<sub>f</sub>/Γ)</th><th>Scale factor / p<br>Confidence level (MeV/c)</th></tr></thead><tbody><tr><td colspan="3"><strong>Leptonic and semileptonic modes</strong></td></tr><tr><td>e<sup>+</sup> ν<sub>e</sub></td><td>( 1.582±0.007 ) × 10<sup>-5</sup></td><td>247</td></tr><tr><td>μ<sup>+</sup> ν<sub>μ</sub></td><td>( 63.56 ± 0.11 ) %</td><td>S=1.2</td><td>236</td></tr><tr><td>π<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>( 5.07 ± 0.04 ) %</td><td>S=2.1</td><td>228</td></tr><tr><td colspan="4">Called K<sub>e3</sub><sup>+</sup>.</td></tr><tr><td>π<sup>0</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>( 3.352±0.034 ) %</td><td>S=1.9</td><td>215</td></tr><tr><td colspan="4">Called K<sub>μ3</sub><sup>+</sup>.</td></tr><tr><td>π<sup>0</sup> π<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>( 2.55 ± 0.04 ) × 10<sup>-5</sup></td><td>S=1.1</td><td>206</td></tr><tr><td>π<sup>+</sup> π<sup>-</sup> e<sup>+</sup> ν<sub>e</sub></td><td>( 4.247±0.024 ) × 10<sup>-5</sup></td><td></td><td>203</td></tr><tr><td>π<sup>+</sup> π<sup>-</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>( 1.4 ± 0.9 ) × 10<sup>-5</sup></td><td></td><td>151</td></tr><tr><td>π<sup>0</sup> π<sup>0</sup> π<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>&lt; 3.5 × 10<sup>-6</sup></td><td>CL=90%</td><td>135</td></tr><tr><td colspan="4"><strong>Hadronic modes</strong></td></tr><tr><td>π<sup>+</sup> π<sup>0</sup></td><td>( 20.67 ± 0.08 ) %</td><td>S=1.2</td><td>205</td></tr><tr><td>π<sup>+</sup> π<sup>0</sup> π<sup>0</sup></td><td>( 1.760±0.023 ) %</td><td>S=1.1</td><td>133</td></tr><tr><td>π<sup>+</sup> π<sup>+</sup> π<sup>-</sup></td><td>( 5.583±0.024 ) %</td><td></td><td>125</td></tr></tbody></table>

## Leptonic and semileptonic modes with photons

<table><tbody><tr><td>μ<sup>+</sup> ν<sub>μ</sub>γ</td><td>[r,s] ( 6.2 ± 0.8 ) × 10<sup>-3</sup></td><td>236</td></tr><tr><td>μ<sup>+</sup> ν<sub>μ</sub>γ (SD<sup>+</sup>)</td><td>[a,t] ( 1.33 ± 0.22 ) × 10<sup>-5</sup></td><td>–</td></tr><tr><td>μ<sup>+</sup> ν<sub>μ</sub>γ (SD<sup>+</sup>INT)</td><td>[a,t] &lt; 2.7 × 10<sup>-5</sup></td><td>CL=90%</td></tr><tr><td>μ<sup>+</sup> ν<sub>μ</sub>γ (SD<sup>-</sup> + SD<sup>-</sup>INT)</td><td>[a,t] &lt; 2.6 × 10<sup>-4</sup></td><td>CL=90%</td></tr></tbody></table>

<table><tbody><tr><td>e<sup>+</sup> ν<sub>e</sub>γ</td><td>( 1.03 ± 0.14 ) × 10<sup>-5</sup></td><td>247</td></tr><tr><td>π<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>γ</td><td>[r,s] ( 2.698±0.033 ) × 10<sup>-4</sup></td><td>228</td></tr><tr><td>π<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>γ (SD)</td><td>[a,t] &lt; 5.3 × 10<sup>-5</sup></td><td>228</td></tr><tr><td>π<sup>0</sup> μ<sup>+</sup> ν<sub>μ</sub>γ</td><td>[r,s] ( 1.25 ± 0.25 ) × 10<sup>-5</sup></td><td>215</td></tr><tr><td>π<sup>0</sup> π<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>γ</td><td>&lt; 5 × 10<sup>-6</sup></td><td>CL=90%</td><td>206</td></tr></tbody></table>

## Hadronic modes with photons or ℓℓ pairs

<table><tbody><tr><td>π<sup>+</sup> π<sup>0</sup>γ (INT)</td><td>(-4.2 ± 0.9) × 10<sup>-6</sup></td><td>–</td></tr><tr><td>π<sup>+</sup> π<sup>0</sup>γ (DE)</td><td>[r,u] ( 6.0 ± 0.4 ) × 10<sup>-6</sup></td><td>205</td></tr><tr><td>π<sup>+</sup> π<sup>0</sup> e<sup>+</sup> e<sup>-</sup></td><td>( 4.24 ± 0.14 ) × 10<sup>-6</sup></td><td>205</td></tr><tr><td>π<sup>+</sup> π<sup>0</sup> π<sup>0</sup>γ</td><td>[r,s] ( 7.6 <sup>+6.0</sup><sub>-3.0</sub> ) × 10<sup>-6</sup></td><td>133</td></tr><tr><td>π<sup>+</sup> π<sup>+</sup> π<sup>-</sup>γ</td><td>[r,s] ( 7.1 ± 0.5 ) × 10<sup>-6</sup></td><td>125</td></tr><tr><td>π<sup>+</sup> γγ</td><td>[r] ( 1.01 ± 0.06 ) × 10<sup>-6</sup></td><td>227</td></tr><tr><td>π<sup>+</sup> 3γ</td><td>[r] &lt; 1.0 × 10<sup>-4</sup></td><td>CL=90%</td><td>227</td></tr><tr><td>π<sup>+</sup> e<sup>+</sup> e<sup>-</sup>γ</td><td>( 1.19 ± 0.13 ) × 10<sup>-8</sup></td><td>227</td></tr></tbody></table>

## Leptonic modes with ℓℓ pairs

<table><tbody><tr><td>e<sup>+</sup> ν<sub>e</sub>ν<sub>ν</sub></td><td>&lt; 6 × 10<sup>-5</sup></td><td>CL=90%</td><td>247</td></tr><tr><td>μ<sup>+</sup> ν<sub>μ</sub>ν<sub>ν</sub></td><td>&lt; 1.0 × 10<sup>-6</sup></td><td>CL=90%</td><td>236</td></tr><tr><td>e<sup>+</sup> ν<sub>e</sub> e<sup>+</sup> e<sup>-</sup></td><td>( 2.48 ± 0.20 ) × 10<sup>-8</sup></td><td>247</td></tr><tr><td>μ<sup>+</sup> ν<sub>μ</sub> e<sup>+</sup> e<sup>-</sup></td><td>( 7.06 ± 0.31 ) × 10<sup>-8</sup></td><td>236</td></tr><tr><td>e<sup>+</sup> ν<sub>e</sub> μ<sup>+</sup> μ<sup>-</sup></td><td>( 1.7 ± 0.5 ) × 10<sup>-8</sup></td><td>223</td></tr><tr><td>μ<sup>+</sup> ν<sub>μ</sub> μ<sup>+</sup> μ<sup>-</sup></td><td>&lt; 4.1 × 10<sup>-7</sup></td><td>CL=90%</td><td>185</td></tr></tbody></table>

## Lepton family number (LF), Lepton number (L), ΔS = ΔQ (SQ) violating modes, or ΔS = 1 weak neutral current (SI) modes

<table><tbody><tr><td>π<sup>+</sup> π<sup>+</sup> e<sup>-</sup>ν<sub>e</sub></td><td>SQ</td><td>&lt; 1.3 × 10<sup>-8</sup></td><td>CL=90%</td><td>203</td></tr><tr><td>π<sup>+</sup> π<sup>+</sup> μ<sup>-</sup>ν<sub>μ</sub></td><td>SQ</td><td>&lt; 3.0 × 10<sup>-6</sup></td><td>CL=95%</td><td>151</td></tr><tr><td>π<sup>+</sup> e<sup>+</sup> e<sup>-</sup></td><td>S1</td><td>( 3.00 ± 0.09 ) × 10<sup>-7</sup></td><td></td><td>227</td></tr><tr><td>π<sup>+</sup> μ<sup>+</sup> μ<sup>-</sup></td><td>S1</td><td>( 9.17 ± 0.14 ) × 10<sup>-8</sup></td><td>S=1.8</td><td>172</td></tr><tr><td>π<sup>+</sup> e<sup>+</sup> e<sup>-</sup> e<sup>+</sup> e<sup>-</sup></td><td></td><td>&lt; 1.4 × 10<sup>-8</sup></td><td>CL=90%</td><td>227</td></tr><tr><td>π<sup>+</sup> νν</td><td>S1</td><td>( 1.14 <sup>+0.40</sup><sub>-0.33</sub> ) × 10<sup>-10</sup></td><td></td><td>227</td></tr><tr><td>π<sup>+</sup> π<sup>0</sup>νν</td><td>S1</td><td>&lt; 4.3 × 10<sup>-5</sup></td><td>CL=90%</td><td>205</td></tr><tr><td>μ<sup>-</sup>νe<sup>+</sup> e<sup>+</sup></td><td>LF</td><td>&lt; 8.1 × 10<sup>-11</sup></td><td>CL=90%</td><td>236</td></tr><tr><td>μ<sup>+</sup> ν<sub>e</sub></td><td>LF</td><td>[d] &lt; 4 × 10<sup>-3</sup></td><td>CL=90%</td><td>236</td></tr><tr><td>π<sup>+</sup> μ<sup>+</sup> e<sup>-</sup></td><td>LF</td><td>&lt; 1.3 × 10<sup>-11</sup></td><td>CL=90%</td><td>214</td></tr><tr><td>π<sup>+</sup> μ<sup>-</sup> e<sup>+</sup></td><td>LF</td><td>&lt; 6.6 × 10<sup>-11</sup></td><td>CL=90%</td><td>214</td></tr><tr><td>π<sup>-</sup> μ<sup>-</sup> e<sup>+</sup></td><td>L</td><td>&lt; 4.2 × 10<sup>-11</sup></td><td>CL=90%</td><td>214</td></tr><tr><td>π<sup>-</sup> e<sup>+</sup> e<sup>+</sup></td><td>L</td><td>&lt; 5.3 × 10<sup>-11</sup></td><td>CL=90%</td><td>227</td></tr><tr><td>π<sup>-</sup> μ<sup>+</sup> μ<sup>+</sup></td><td>L</td><td>&lt; 4.2 × 10<sup>-11</sup></td><td>CL=90%</td><td>172</td></tr><tr><td>π<sup>-</sup> π<sup>0</sup> e<sup>+</sup> e<sup>+</sup></td><td>L</td><td>&lt; 8.5 × 10<sup>-10</sup></td><td>CL=90%</td><td>205</td></tr><tr><td>μ<sup>+</sup> ν̄<sub>e</sub></td><td>L</td><td>[d] &lt; 3.3 × 10<sup>-3</sup></td><td>CL=90%</td><td>236</td></tr><tr><td>π<sup>0</sup> e<sup>+</sup> ν̄<sub>e</sub></td><td>L</td><td>&lt; 3 × 10<sup>-3</sup></td><td>CL=90%</td><td>228</td></tr><tr><td>π<sup>+</sup> γ</td><td>[ν] &lt; 2.3 × 10<sup>-9</sup></td><td>CL=90%</td><td>227</td></tr></tbody></table>

## K$^{0}$

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

50% $K_S$, 50% $K_L$

$$ \text{Mass } m = 497.611 \pm 0.013 \text{ MeV} \quad (S = 1.2) $$

$$ m_{K^0} - m_{K^\pm} = 3.934 \pm 0.020 \text{ MeV} \quad (S = 1.6) $$

## Mean square charge radius

$$ \langle r^2 \rangle = -0.077 \pm 0.010 \text{ fm}^2 $$

## T-violation parameters in K$^{0}$-K$^{0}$ mixing [q]

$$ \text{Asymmetry } A_T \text{ in } K^0-K^0 \text{ mixing} = (6.6 \pm 1.6) \times 10^{-3} $$

## CP-violation parameters

$$ \text{Re}(\epsilon) = (1.596 \pm 0.013) \times 10^{-3} $$

## CPT-violation parameters [q]

$$ \text{Re } \delta = (2.5 \pm 2.3) \times 10^{-4} $$

$$ \text{Im } \delta = (-1.5 \pm 1.6) \times 10^{-5} $$

$$ \text{Re}(\gamma), K_{e3} \text{ parameter} = (0.4 \pm 2.5) \times 10^{-3} $$

$$ \text{Re}(x_{-}), K_{e3} \text{ parameter} = (-2.9 \pm 2.0) \times 10^{-3} $$

$$ |m_{K^0} - m_{K^0}| / m_{\text{average}} < 6 \times 10^{-19}, \text{ CL = 90\%} [x] \\ (\Gamma_{K^0} - \Gamma_{K^0}) / m_{\text{average}} = (8 \pm 8) \times 10^{-18} $$

## Tests of ΔS = ΔQ

$$ \text{Re}(x_{+}), K_{e3} \text{ parameter} = (-0.9 \pm 3.0) \times 10^{-3} $$

## K$^{0}$S

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

Mean life $\tau = (0.8954 \pm 0.0004) \times 10^{-10}$ s (S = 1.1) Assuming CPT

Mean life $\tau = (0.89564 \pm 0.00033) \times 10^{-10}$ s Not assuming CPT

$c\tau = 2.6844 \text{ cm}$ Assuming CPT
CP-violation parameters [$\nu$]

$$ \operatorname{Im}(\eta_{+0}) = -0.002 \pm 0.009 $$

$$ \operatorname{Im}(\eta_{000}) = -0.001 \pm 0.016 $$

$$ |\eta_{000}| = |A(K_S^0 \to 3\pi^0)/A(K_L^0 \to 3\pi^0)| < 0.0088, \text{ CL} = 90\% $$

$$ \text{CP asymmetry A in } \pi^+\pi^- e^+e^- = (-0.4 \pm 0.8)\% $$

<table><thead><tr><th>K<sup>0</sup><sub>S</sub> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Scale factor/ p</th><th>Confidence level (MeV/c)</th></tr></thead><tbody><tr><td colspan="4"><strong>Hadronic modes</strong></td></tr><tr><td>π<sup>0</sup> π<sup>0</sup></td><td>(30.69±0.05) %</td><td></td><td>209</td></tr><tr><td>π<sup>+</sup> π<sup>-</sup></td><td>(69.20±0.05) %</td><td></td><td>206</td></tr><tr><td>π<sup>+</sup> π<sup>-</sup> π<sup>0</sup></td><td>(3.5 <sup>+1.1</sup><sub>-0.9</sub>) × 10<sup>-7</sup></td><td></td><td>133</td></tr><tr><td colspan="4"><strong>Modes with photons or ℓℓ̄ pairs</strong></td></tr><tr><td>π<sup>+</sup> π<sup>-</sup> γ</td><td>[s,z] (1.79±0.05) × 10<sup>-3</sup></td><td></td><td>206</td></tr><tr><td>π<sup>+</sup> π<sup>-</sup> π<sup>+</sup> e<sup>+</sup> e<sup>-</sup></td><td>(4.79±0.15) × 10<sup>-5</sup></td><td></td><td>206</td></tr><tr><td>π<sup>0</sup> γ γ</td><td>[z] (4.9 ±1.8) × 10<sup>-8</sup></td><td></td><td>230</td></tr><tr><td>γ γ</td><td>(2.63±0.17) × 10<sup>-6</sup></td><td>S=3.1</td><td>249</td></tr><tr><td>μ<sup>+</sup> μ<sup>-</sup> μ<sup>+</sup> μ<sup>-</sup></td><td>&lt; 5.1 × 10<sup>-12</sup></td><td>CL=90%</td><td>119</td></tr><tr><td colspan="4"><strong>Semileptonic modes</strong></td></tr><tr><td>π<sup>±</sup> e<sup>∓</sup> ν<sub>e</sub></td><td>[aa] (7.14±0.06) × 10<sup>-4</sup></td><td></td><td>229</td></tr><tr><td colspan="4"><strong>CP violating (CP) and ΔS = 1 weak neutral current (S1) modes</strong></td></tr><tr><td>3π<sup>0</sup></td><td>CP &lt; 2.6 × 10<sup>-8</sup></td><td>CL=90%</td><td>139</td></tr><tr><td>μ<sup>+</sup> μ<sup>-</sup></td><td>S1 &lt; 2.1 × 10<sup>-10</sup></td><td>CL=90%</td><td>225</td></tr><tr><td>e<sup>+</sup> e<sup>-</sup></td><td>S1 &lt; 9 × 10<sup>-9</sup></td><td>CL=90%</td><td>249</td></tr><tr><td>π<sup>0</sup> e<sup>+</sup> e<sup>-</sup></td><td>S1 [z] (3.0 <sup>+1.5</sup><sub>-1.2</sub>) × 10<sup>-9</sup></td><td></td><td>230</td></tr><tr><td>π<sup>0</sup> μ<sup>+</sup> μ<sup>-</sup></td><td>S1 (2.9 <sup>+1.5</sup><sub>-1.2</sub>) × 10<sup>-9</sup></td><td></td><td>177</td></tr></tbody></table>

K<sup>0</sup><sub>L</sub>

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

$$ \begin{aligned} m_{K_L} - m_{K_S} &= (0.5293 \pm 0.0009) \times 10^{10} \, \hbar \, \text{s}^{-1} \quad (S = 1.3) \\ &= (3.484 \pm 0.006) \times 10^{-12} \, \text{MeV} \quad \text{Assuming CPT} \\ &= (0.5289 \pm 0.0010) \times 10^{10} \, \hbar \, \text{s}^{-1} \quad \text{Not assuming CPT} \\ \text{Mean life } \tau &= (5.116 \pm 0.021) \times 10^{-8} \, \text{s} \quad (S = 1.1) \\ c\tau &= 15.34 \, \text{m} \end{aligned} $$

Slope parameters [$\rho$]

(See Particle Listings for other linear and quadratic coefficients)

$$ K_L^0 \to \pi^+ \pi^- \pi^0: g = 0.678 \pm 0.008 \quad (S = 1.5) $$

$$ K_L^b \to \pi^+ \pi^- \pi^0: h = 0.076 \pm 0.006 $$

$$ K_L^0 \to \pi^+ \pi^- \pi^0: k = 0.0099 \pm 0.0015 $$

$$ K_L^b \to \pi^0 \pi^0 \pi^0: h = (0.6 \pm 1.2) \times 10^{-3} $$

K<sub>L</sub> decay form factors [$\rho$]

Linear parametrization assuming μ-e universality

$$ \lambda_+(K_{\mu3}^0) = \lambda_+(K_{e3}^0) = (2.82 \pm 0.04) \times 10^{-2} \quad (S = 1.1) $$

$$ \lambda_0(K_{\mu3}^0) = (1.38 \pm 0.18) \times 10^{-2} \quad (S = 2.2) $$

Quadratic parametrization assuming μ-e universality

$$ \lambda'_+(K_{\mu3}^0) = \lambda'_+(K_{e3}^0) = (2.40 \pm 0.12) \times 10^{-2} \quad (S = 1.2) $$

$$ \lambda''_+(K_{\mu3}^0) = \lambda''_+(K_{e3}^0) = (0.20 \pm 0.05) \times 10^{-2} \quad (S = 1.2) $$

$$ \lambda_0(K_{\mu3}^0) = (1.16 \pm 0.09) \times 10^{-2} \quad (S = 1.2) $$

Pole parametrization assuming μ-e universality

$$ M_V^\mu (K_{\mu3}^0) = M_V^e (K_{e3}^0) = 878 \pm 6 \, \text{MeV} \quad (S = 1.1) $$

$$ M_S^\mu (K_{\mu3}^0) = 1252 \pm 90 \, \text{MeV} \quad (S = 2.6) $$

Dispersive parametrization assuming μ-e universality

$$ \Lambda_+ = (2.51 \pm 0.06) \times 10^{-2} \quad (S = 1.5) $$

$$ \ln(C) = (1.75 \pm 0.18) \times 10^{-1} \quad (S = 2.0) $$

$$ K_{e3}^0 \to f_S/f_+ = (1.5^{+1.4}_{-1.6}) \times 10^{-2} $$

$$ K_{e3}^0 \to f_T/f_+ = (5^{+4}_{-5}) \times 10^{-2} $$

$$ K_{\mu3}^0 \to f_T/f_+ = (12 \pm 12) \times 10^{-2} $$

$$ K_L \to \ell^+ \ell^- \gamma, K_L \to \ell^+ \ell^- \ell^+ \ell^-: \alpha_{K^*} = -0.205 \pm 0.022 \quad (S = 1.8) $$

$$ K_L^0 \to \ell^+ \ell^- \gamma, K_L^0 \to \ell^+ \ell^- \ell^+ \ell^-: \alpha_{DIP} = -1.69 \pm 0.08 \quad (S = 1.7) $$

$$ K_L \to \pi^+ \pi^- e^+ e^-: a_1/a_2 = -0.737 \pm 0.014 \, \text{GeV}^2 $$

$$ K_L \to \pi^0 2\gamma: a_V = -0.43 \pm 0.06 \quad (S = 1.5) $$

CP-violation parameters [$\nu$]

$$ A_L = (0.332 \pm 0.006)\% $$

$$ |\eta_00| = (2.220 \pm 0.011) \times 10^{-3} \quad (S = 1.8) $$

$$ |\eta_{+-}| = (2.232 \pm 0.011) \times 10^{-3} \quad (S = 1.8) $$

$$ |\epsilon| = (2.228 \pm 0.011) \times 10^{-3} \quad (S = 1.8) $$

$$ |\eta_{00}/\eta_{+-}| = 0.9950 \pm 0.0007 \quad [bb] \quad (S = 1.6) $$

$$ \operatorname{Re}(\epsilon'/\epsilon) = (1.66 \pm 0.23) \times 10^{-3} \quad [bb] \quad (S = 1.6) $$

Assuming CPT

$$ \phi_{+-} = (43.51 \pm 0.05)^{\circ} \quad (S = 1.2) $$

$$ \phi_{00} = (43.52 \pm 0.05)^{\circ} \quad (S = 1.2) $$

$$ \phi_{\epsilon} = \phi_{S\bar{W}} = (43.52 \pm 0.04)^{\circ} \quad (S = 1.2) $$

$$ \operatorname{Im}(\epsilon'/\epsilon) = -(\phi_{00} - \phi_{+-})/3 = (-0.002 \pm 0.005)^{\circ} \quad (S = 1.7) $$

Not assuming CPT

$$ \phi_{+-} = (43.4 \pm 0.5)^{\circ} \quad (S = 1.2) $$

$$ \phi_{00} = (43.7 \pm 0.6)^{\circ} \quad (S = 1.2) $$

$$ \phi_{\epsilon} = (43.5 \pm 0.5)^{\circ} \quad (S = 1.3) $$

$$ \text{CP asymmetry A in } K_L^0 \to \pi^+ \pi^- e^+ e^- = (13.7 \pm 1.5)\% $$

$$ \beta_{CP} \text{ from } K_L^0 \to e^+ e^- e^+ e^- = -0.19 \pm 0.07 $$

$$ \gamma_{CP} \text{ from } K_L^0 \to e^+ e^- e^+ e^- = 0.01 \pm 0.11 \quad (S = 1.6) $$

$$ \text{j for } K_L^0 \to \pi^+ \pi^- \pi^0 = 0.0012 \pm 0.0008 $$

$$ \text{f for } K_L^0 \to \pi^+ \pi^- \pi^0 = 0.004 \pm 0.006 $$

$$ |\eta_{+-\gamma}| = (2.35 \pm 0.07) \times 10^{-3} $$

$$ \phi_{+-\gamma} = (44 \pm 4)^{\circ} $$

$$ |\epsilon'_{+-\gamma}|/\epsilon < 0.3, \text{ CL} = 90\% $$

$$ |g_{E1}| \text{ for } K_L^0 \to \pi^+ \pi^- \gamma < 0.21, \text{ CL} = 90\% $$

T-violation parameters

$$ \operatorname{Im}(\xi) \text{ in } K_{\mu3}^0 = -0.007 \pm 0.026 $$

CPT invariance tests

$$ \phi_{00} - \phi_{+-} = (0.34 \pm 0.32)^{\circ} $$

$$ \operatorname{Re}(\frac{2}{3}\eta_{+-} + \frac{1}{3}\eta_{00}) - \frac{A_L}{2} = (-3 \pm 35) \times 10^{-6} $$

$\Delta S = -\Delta Q$ in $K_{\beta3}^0$ decay

$$ \operatorname{Re} x = -0.002 \pm 0.006 $$

$$ \operatorname{Im} x = 0.0012 \pm 0.0021 $$

<table><thead><tr><th>K<sup>0</sup><sub>L</sub> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Scale factor/ p</th><th>Confidence level (MeV/c)</th></tr></thead><tbody><tr><td colspan="4"><strong>Semileptonic modes</strong></td></tr><tr><td>π<sup>±</sup> e<sup>∓</sup> ν<sub>e</sub></td><td>[aa] (40.55 ± 0.11) %</td><td>S=1.7</td><td>229</td></tr><tr><td>π<sup>±</sup> μ<sup>∓</sup> ν<sub>μ</sub></td><td>[aa] (27.04 ± 0.07) %</td><td>S=1.1</td><td>216</td></tr><tr><td colspan="4">Called K<sup>0</sup><sub>e3</sub></td></tr><tr><td>(πμatom)ν</td><td></td><td></td><td>188</td></tr><tr><td>π<sup>0</sup> π<sup>±</sup> e<sup>∓</sup> ν</td><td>[aa] (5.20 ± 0.11) %</td><td></td><td>207</td></tr><tr><td>π<sup>±</sup> e<sup>∓</sup> ν e<sup>+</sup> e<sup>-</sup></td><td>[aa] (1.26 ± 0.04) %</td><td></td><td>229</td></tr><tr><td colspan="4"><strong>Hadronic modes, including Charge conjugation × Parity Violating (CPV) modes</strong></td></tr><tr><td>3π<sup>0</sup></td><td>(19.52 ± 0.12) %</td><td>S=1.6</td><td>139</td></tr><tr><td>π<sup>+</sup> π<sup>-</sup> π<sup>0</sup></td><td>(12.54 ± 0.05) %</td><td></td><td>133</td></tr><tr><td>π<sup>+</sup> π<sup>-</sup></td><td>CPV [cc] (1.967±0.10) × 10<sup>-3</sup></td><td>S=1.5</td><td>206</td></tr><tr><td>π<sup>0</sup> π<sup>0</sup></td><td>CPV (8.64 ± 0.06) × 10<sup>-4</sup></td><td>S=1.8</td><td>209</td></tr><tr><td colspan="4"><strong>Semileptonic modes with photons</strong></td></tr><tr><td>π<sup>±</sup> e<sup>∓</sup> ν<sub>e</sub> γ</td><td>[s,aa,dd] (3.79 ± 0.06) %</td><td></td><td>229</td></tr><tr><td>π<sup>±</sup> μ<sup>+</sup> ν<sub>μ</sub> γ</td><td>(5.65 ± 0.23) %</td><td></td><td>216</td></tr><tr><td colspan="4"><strong>Hadronic modes with photons or ℓℓ̄ pairs</strong></td></tr><tr><td>π<sup>0</sup> π<sup>0</sup> γ</td><td>&lt; 2.43 × 10<sup>-7</sup></td><td>CL=90%</td><td>209</td></tr><tr><td>π<sup>+</sup> π<sup>-</sup> γ</td><td>[s,dd] (4.15 ± 0.15) × 10<sup>-5</sup></td><td>S=2.8</td><td>206</td></tr><tr><td>π<sup>+</sup> π<sup>-</sup> γ (DE)</td><td>(2.84 ± 0.11) × 10<sup>-5</sup></td><td>S=2.0</td><td>206</td></tr><tr><td>π<sup>0</sup> 2γ</td><td>(1.273±0.033) × 10<sup>-6</sup></td><td></td><td>230</td></tr><tr><td>π<sup>0</sup> γ e<sup>+</sup> e<sup>-</sup></td><td>(1.62 ± 0.17) × 10<sup>-8</sup></td><td></td><td>230</td></tr><tr><td colspan="4"><strong>Other modes with photons or ℓℓ̄ pairs</strong></td></tr><tr><td>2γ</td><td>(5.47 ± 0.04) × 10<sup>-4</sup></td><td>S=1.1</td><td>249</td></tr><tr><td>3γ</td><td>&lt; 7.4 × 10<sup>-8</sup></td><td>CL=90%</td><td>249</td></tr><tr><td>e<sup>+</sup> e<sup>-</sup> γ</td><td>(9.4 ± 0.4) × 10<sup>-6</sup></td><td>S=2.0</td><td>249</td></tr></tbody></table>
# Meson Summary Table

<table><tr><td>μ<sup>+</sup> μ<sup>-</sup> γ</td><td>( 3.59 ±0.11 ) × 10<sup>-7</sup></td><td>S=1.3</td><td>225</td></tr><tr><td>μ<sup>+</sup> μ<sup>-</sup> μ<sup>+</sup> μ<sup>-</sup></td><td>&lt; 2.3 × 10<sup>-9</sup></td><td>CL=90%</td><td>119</td></tr><tr><td>e<sup>+</sup> e<sup>-</sup> γγ</td><td>[dd] ( 5.95 ±0.33 ) × 10<sup>-7</sup></td><td></td><td>249</td></tr><tr><td>μ<sup>+</sup> μ<sup>-</sup> γγ</td><td>[dd] ( 1.0 <sup>+0.8</sup> <sub>-0.6</sub> ) × 10<sup>-8</sup></td><td></td><td>225</td></tr></table>

Charge conjugation × Parity (CP) or Lepton Family number (LF) violating modes, or ΔS = 1 weak neutral current (SI) modes

<table><tr><td>μ<sup>+</sup> μ<sup>-</sup></td><td>S1 ( 6.84 ±0.11 ) × 10<sup>-9</sup></td><td></td><td>225</td></tr><tr><td>e<sup>+</sup> e<sup>-</sup></td><td>S1 ( 9 <sup>+6</sup> <sub>-4</sub> ) × 10<sup>-12</sup></td><td></td><td>249</td></tr><tr><td>π<sup>+</sup> π<sup>-</sup> e<sup>+</sup> e<sup>-</sup></td><td>S1 [dd] ( 3.11 ±0.19 ) × 10<sup>-7</sup></td><td></td><td>206</td></tr><tr><td>π<sup>0</sup> π<sup>0</sup> e<sup>+</sup> e<sup>-</sup></td><td>S1 &lt; 6.6 × 10<sup>-9</sup></td><td>CL=90%</td><td>209</td></tr><tr><td>π<sup>0</sup> π<sup>0</sup> μ<sup>+</sup> μ<sup>-</sup></td><td>S1 &lt; 9.2 × 10<sup>-11</sup></td><td>CL=90%</td><td>57</td></tr><tr><td>μ<sup>+</sup> μ<sup>-</sup> e<sup>+</sup> e<sup>-</sup></td><td>S1 ( 2.69 ±0.27 ) × 10<sup>-9</sup></td><td></td><td>225</td></tr><tr><td>e<sup>+</sup> e<sup>-</sup> e<sup>+</sup> e<sup>-</sup></td><td>S1 ( 3.56 ±0.21 ) × 10<sup>-8</sup></td><td></td><td>249</td></tr><tr><td>π<sup>0</sup> μ<sup>+</sup> μ<sup>-</sup></td><td>CP,S1 [ee] &lt; 3.8 × 10<sup>-10</sup></td><td>CL=90%</td><td>177</td></tr><tr><td>π<sup>0</sup> e<sup>+</sup> e<sup>-</sup></td><td>CP,S1 [ee] &lt; 2.8 × 10<sup>-10</sup></td><td>CL=90%</td><td>230</td></tr><tr><td>π<sup>0</sup> νν</td><td>CP,S1 [ff] &lt; 3.0 × 10<sup>-9</sup></td><td>CL=90%</td><td>230</td></tr><tr><td>π<sup>0</sup> π<sup>0</sup> νν</td><td>S1 &lt; 8.1 × 10<sup>-7</sup></td><td>CL=90%</td><td>209</td></tr><tr><td>e<sup>+</sup> μ<sup>+</sup> μ<sup>-</sup></td><td>LF [aa] &lt; 4.7 × 10<sup>-12</sup></td><td>CL=90%</td><td>238</td></tr><tr><td>e<sup>+</sup> e<sup>+</sup> μ<sup>+</sup> μ<sup>-</sup></td><td>LF [aa] &lt; 4.12 × 10<sup>-11</sup></td><td>CL=90%</td><td>225</td></tr><tr><td>π<sup>0</sup> μ<sup>+</sup> e<sup>+</sup> μ<sup>-</sup></td><td>LF [aa] &lt; 7.6 × 10<sup>-11</sup></td><td>CL=90%</td><td>217</td></tr><tr><td>π<sup>0</sup> π<sup>0</sup> μ<sup>+</sup> e<sup>+</sup> μ<sup>-</sup></td><td>LF &lt; 1.7 × 10<sup>-10</sup></td><td>CL=90%</td><td>159</td></tr></table>

Lorentz invariance violating modes

<table><tr><td>π<sup>0</sup> γ</td><td>&lt; 1.7 × 10<sup>-7</sup></td><td>CL=90%</td><td>230</td></tr></table>

### K<sub>0</sub><sup>*</sup>(700)

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

also known as κ; was K<sub>0</sub><sup>*</sup>(800)

See the review on "Scalar Mesons below 1 GeV."

Mass (T-Matrix Pole $\sqrt{s}$) = (630-730) - i (260-340) MeV

Mass (Breit-Wigner) = 845 ± 17 MeV

Full width (Breit-Wigner) = 468 ± 30 MeV

<table><thead><tr><th>K<sub>0</sub><sup>*</sup>(700) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>p (MeV/c)</th></tr></thead><tbody><tr><td>Kπ</td><td>100%</td><td>256</td></tr></tbody></table>

### K<sup>*</sup>(892)

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

Mass (T-Matrix Pole $\sqrt{s}$) = (890 ± 14) - i (26 ± 6) MeV

K<sup>*</sup>(892)<sup>±</sup> hadroproduced mass m = 891.67 ± 0.26 MeV

K<sup>*</sup>(892)<sup>±</sup> in τ decays mass m = 895.5 ± 0.8 MeV

K<sup>*</sup>(892)<sup>0</sup> mass m = 895.55 ± 0.20 MeV (S = 1.7)

K<sup>*</sup>(892)<sup>±</sup> hadroproduced full width Γ = 51.4 ± 0.8 MeV

K<sup>*</sup>(892)<sup>±</sup> in τ decays full width Γ = 46.2 ± 1.3 MeV

K<sup>*</sup>(892)<sup>0</sup> full width Γ = 47.3 ± 0.5 MeV (S = 2.0)

<table><thead><tr><th>K<sup>*</sup>(892) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>Confidence level</th><th>p (MeV/c)</th></tr></thead><tbody><tr><td>Kπ</td><td>~ 100 %</td><td></td><td>289</td></tr><tr><td>K<sup>0</sup>γ</td><td>( 2.46±0.21 ) × 10<sup>-3</sup></td><td></td><td>307</td></tr><tr><td>K<sup>±</sup>γ</td><td>( 9.8 ±0.9 ) × 10<sup>-4</sup></td><td></td><td>309</td></tr><tr><td>Kππ</td><td>&lt; 7 × 10<sup>-4</sup></td><td>95%</td><td>223</td></tr></tbody></table>

### K<sub>1</sub>(1270)

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

Mass m = 1253 ± 7 MeV (S = 2.2)

Full width Γ = 90 ± 20 MeV [I]

<table><thead><tr><th>K<sub>1</sub>(1270) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>Scale factor</th><th>p (MeV/c)</th></tr></thead><tbody><tr><td>Kρ</td><td>(38 ±13 ) %</td><td>2.2</td><td>†</td></tr><tr><td>K<sub>0</sub><sup>*</sup>(1430) π</td><td>(28 ± 4 ) %</td><td></td><td>†</td></tr><tr><td>K<sup>*</sup>(892) π</td><td>(21 ±10 ) %</td><td>2.2</td><td>286</td></tr><tr><td>Kω</td><td>(11.0 ± 2.0) %</td><td></td><td>†</td></tr><tr><td>Kf<sub>0</sub>(1370)</td><td>( 3.0 ± 2.0) %</td><td></td><td>†</td></tr><tr><td>γ K<sup>0</sup></td><td>seen</td><td></td><td>528</td></tr></tbody></table>

### K<sub>1</sub>(1400)

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

Mass m = 1403 ± 7 MeV

Full width Γ = 174 ± 13 MeV (S = 1.6)

<table><thead><tr><th>K<sub>1</sub>(1400) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>p (MeV/c)</th></tr></thead><tbody><tr><td>K<sup>*</sup>(892) π</td><td>(94 ± 6 ) %</td><td>402</td></tr><tr><td>Kρ</td><td>( 3.0 ±3.0 ) %</td><td>293</td></tr><tr><td>Kf<sub>0</sub>(1370)</td><td>( 2.0 ±2.0) %</td><td>†</td></tr><tr><td>Kω</td><td>( 1.0 ±1.0) %</td><td>284</td></tr><tr><td>K<sup>*</sup>(1430) π</td><td>not seen</td><td>†</td></tr><tr><td>γ K<sup>0</sup></td><td>seen</td><td>613</td></tr><tr><td>Kφ</td><td>seen</td><td>†</td></tr></tbody></table>

### K<sup>*</sup>(1410)

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

T-matrix pole $\sqrt{s}$ = (1368 ± 38) - i (106<sup>+48</sup><sub>-59</sub>) MeV

Mass m = 1414 ± 15 MeV (S = 1.3)

Full width Γ = 232 ± 21 MeV (S = 1.1)

<table><thead><tr><th>K<sup>*</sup>(1410) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>Confidence level</th><th>p (MeV/c)</th></tr></thead><tbody><tr><td>K<sup>*</sup>(892) π</td><td>&gt; 40 %</td><td>95%</td><td>410</td></tr><tr><td>Kπ</td><td>( 6.6 ±1.3 ) %</td><td></td><td>612</td></tr><tr><td>Kρ</td><td>&lt; 7 %</td><td>95%</td><td>305</td></tr><tr><td>γ K<sup>0</sup></td><td>&lt; 2.3 × 10<sup>-4</sup></td><td>90%</td><td>619</td></tr><tr><td>Kφ</td><td>seen</td><td></td><td>†</td></tr></tbody></table>

### K<sup>*</sup>(1430)

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

T-matrix pole $\sqrt{s}$ = (1431 ± 6) - i (110 ± 19) MeV

Mass m = 1425 ± 50 MeV [I]

Full width Γ = 270 ± 80 MeV [I]

<table><thead><tr><th>K<sup>*</sup>(1430) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>p (MeV/c)</th></tr></thead><tbody><tr><td>Kπ</td><td>(93 ±10 ) %</td><td>619</td></tr><tr><td>Kη</td><td>( 8.6<sup>+2.7</sup><sub>-3.4</sub> ) %</td><td>486</td></tr><tr><td>Kη'(958)</td><td>seen</td><td>†</td></tr></tbody></table>

### K<sup>*</sup>(2430)

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

T-matrix pole $\sqrt{s}$ = (1424 ± 4) - i (66 ± 2) MeV

K<sup>*</sup>(2430)<sup>±</sup> mass m = 1427.3 ± 1.5 MeV (S = 1.3)

K<sup>*</sup>(2430)<sup>0</sup> mass m = 1432.4 ± 1.3 MeV

K<sup>*</sup>(2430)<sup>±</sup> full width Γ = 100.0 ± 2.2 MeV (S = 1.1)

K<sup>*</sup>(2430)<sup>0</sup> full width Γ = 109 ± 5 MeV (S = 1.9)

<table><thead><tr><th>K<sup>*</sup>(2430) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>Scale factor/ Confidence level</th><th>p (MeV/c)</th></tr></thead><tbody><tr><td>Kπ</td><td>(49.9±1.2) %</td><td></td><td>620</td></tr><tr><td>K<sup>*</sup>(892) π</td><td>(24.7±1.5) %</td><td></td><td>420</td></tr><tr><td>K<sup>*</sup>(892) ππ</td><td>(13.4±2.2) %</td><td></td><td>373</td></tr><tr><td>Kρ</td><td>( 8.7±0.8) %</td><td>S=1.2</td><td>320</td></tr><tr><td>Kω</td><td>( 2.9±0.8) %</td><td></td><td>313</td></tr><tr><td>K<sup>+</sup>γ</td><td>( 2.4±0.5) × 10<sup>-3</sup></td><td>S=1.1</td><td>628</td></tr><tr><td>Kη</td><td>( 1.5<sup>+3.4</sup><sub>-1.0</sub>) × 10<sup>-3</sup></td><td>S=1.3</td><td>488</td></tr><tr><td>Kωπ</td><td>&lt; 7.2 × 10<sup>-4</sup></td><td>CL=95%</td><td>106</td></tr><tr><td>K<sup>0</sup>γ</td><td>&lt; 9 × 10<sup>-4</sup></td><td>CL=90%</td><td>627</td></tr></tbody></table>

### K(1460)

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

<table><thead><tr><th>K(1460) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>p (MeV/c)</th></tr></thead><tbody><tr><td>K<sup>*</sup>(892) π</td><td>seen</td><td>-</td></tr><tr><td>Kρ</td><td>seen</td><td>-</td></tr><tr><td>K<sup>*</sup>(1430) π</td><td>seen</td><td>-</td></tr><tr><td>Kφ</td><td>seen</td><td>-</td></tr></tbody></table>

### K<sub>1</sub>(1650)

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

Mass m = 1650 ± 50 MeV

Full width Γ = 150 ± 50 MeV
### $K^*(1680)$

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

Mass $m = 1718 \pm 18$ MeV

Full width $\Gamma = 320 \pm 110$ MeV (S = 4.2)

<table><thead><tr><th>K*(1680) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>Kπ</td><td>(38.7±2.5) %</td><td>782</td></tr><tr><td>Kρ</td><td>(31.4<sup>+5.0</sup><sub>-2.1</sub>) %</td><td>571</td></tr><tr><td>K*(892)π</td><td>(29.9<sup>+2.3</sup><sub>-5.0</sub>) %</td><td>618</td></tr><tr><td>Kφ</td><td>seen</td><td>387</td></tr><tr><td>Kη</td><td>(1.4<sup>+1.0</sup><sub>-0.8</sub>) %</td><td>683</td></tr></tbody></table>

### $K_2(1770)$ [gg]

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

Mass $m = 1773 \pm 8$ MeV

Full width $\Gamma = 186 \pm 14$ MeV

<table><thead><tr><th>K<sub>2</sub>(1770) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>Kππ</td><td></td><td>794</td></tr><tr><td>K<sub>2</sub><sup>*</sup>(1430)π</td><td>seen</td><td>287</td></tr><tr><td>K*(892)π</td><td>seen</td><td>654</td></tr><tr><td>Kf<sub>2</sub>(1270)</td><td>seen</td><td>53</td></tr><tr><td>Kf<sub>0</sub>(980)</td><td>possibly seen</td><td>466</td></tr><tr><td>Kφ</td><td>seen</td><td>441</td></tr><tr><td>Kω</td><td>seen</td><td>607</td></tr></tbody></table>

### $K_3^*(1780)$

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

T-matrix pole $\sqrt{s} = (1754 \pm 13) - i (119 \pm 14)$ MeV

Mass $m = 1779 \pm 8$ MeV (S = 1.2)

Full width $\Gamma = 161 \pm 17$ MeV (S = 1.1)

<table><thead><tr><th>K<sub>3</sub><sup>*</sup>(1780) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>Kρ</td><td>(31 ± 9) %</td><td>616</td></tr><tr><td>K*(892)π</td><td>(20 ± 5) %</td><td>657</td></tr><tr><td>Kπ</td><td>(18.8 ± 1.0) %</td><td>815</td></tr><tr><td>Kη</td><td>(30 ± 13) %</td><td>721</td></tr><tr><td>K<sub>2</sub><sup>*</sup>(1430)π</td><td>&lt; 16 %</td><td>95%</td></tr></tbody></table>

### $K_2(1820)$ [gg]

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

Mass $m = 1819 \pm 12$ MeV

Full width $\Gamma = 264 \pm 34$ MeV

<table><thead><tr><th>K<sub>2</sub>(1820) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>Kππ</td><td>seen</td><td>819</td></tr><tr><td>K<sub>2</sub><sup>*</sup>(1430)π</td><td>seen</td><td>328</td></tr><tr><td>K*(892)π</td><td>seen</td><td>683</td></tr><tr><td>Kf<sub>2</sub>(1270)</td><td>seen</td><td>191</td></tr><tr><td>Kω</td><td>seen</td><td>640</td></tr><tr><td>Kφ</td><td>seen</td><td>483</td></tr></tbody></table>

### $K_0^*(1950)$

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

Mass $m = 1957 \pm 14$ MeV

Full width $\Gamma = 170 \pm 50$ MeV (S = 2.2)

<table><thead><tr><th>K<sub>0</sub><sup>*</sup>(1950) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>K<sup>-</sup>π<sup>+</sup></td><td>(52±14) %</td><td>911</td></tr></tbody></table>

### $K_2^*(1980)$

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

Mass $m = 1990^{+60}_{-50}$ MeV (S = 2.8)

Full width $\Gamma = 348^{+50}_{-30}$ MeV (S = 1.3)

<table><thead><tr><th>K<sub>2</sub><sup>*</sup>(1980) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>K*(892)π</td><td>possibly seen</td><td>791</td></tr><tr><td>Kρ</td><td>possibly seen</td><td>762</td></tr><tr><td>Kf<sub>2</sub>(1270)</td><td>possibly seen</td><td>424</td></tr><tr><td>Kφ</td><td>seen</td><td>627</td></tr><tr><td>Kη</td><td>seen</td><td>850</td></tr></tbody></table>

### $K_4^*(2045)$

$$I(J^P) = \frac{1}{2}(4^+)$$

Mass $m = 2048^{+8}_{-9}$ MeV (S = 1.1)

Full width $\Gamma = 199^{+27}_{-19}$ MeV

<table><thead><tr><th>K<sub>4</sub><sup>*</sup>(2045) DECAY MODES</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>Kπ</td><td>(9.9±1.2) %</td><td>960</td></tr><tr><td>K*(892)ππ</td><td>(9 ± 5) %</td><td>804</td></tr><tr><td>K*(892)πππ</td><td>(7 ± 5) %</td><td>770</td></tr><tr><td>ρKπ</td><td>(5.7±3.2) %</td><td>744</td></tr><tr><td>ωKπ</td><td>(5.0±3.0) %</td><td>740</td></tr><tr><td>φKπ</td><td>(2.8±1.4) %</td><td>597</td></tr><tr><td>φK*(892)</td><td>(1.4±0.7) %</td><td>368</td></tr></tbody></table>

## CHARMED MESONS
($C = \pm 1$)

$D^+ = c\bar{c}, D^0 = c\bar{c}, D^0 = \bar{c}u, D^- = \bar{c}d$, similarly for $D^*\text{'s}$

### $D^\pm$

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

Mass $m = 1869.66 \pm 0.05$ MeV

Mean life $\tau = (1033 \pm 5) \times 10^{-15}$ s

$c\tau = 309.8 \mu m$

### c-quark decays

$\Gamma(c \to \ell^+ \text{anything})/\Gamma(c \to \text{anything}) = 0.096 \pm 0.004$ [hh]

$\Gamma(c \to D^*(2010)^+ \text{anything})/\Gamma(c \to \text{anything}) = 0.255 \pm 0.017$

### CP-violation decay-rate asymmetries

$A_{CP}(\mu^\pm\nu) = (8 \pm 8)\%$

$A_{CP}(K_0^0 e^\pm\nu) = (-0.6 \pm 1.6)\%$

$A_{CP}(K_0^0 \pi^\pm) = (-0.41 \pm 0.09)\%$

$A_{CP}(K_0^0 K^\pm) \text{ in } D^\pm \to K_0^0 K^\pm = (-4.2 \pm 3.4) \times 10^{-2}$

$A_{CP}(K^\pm 2\pi^\pm) = (-0.18 \pm 0.16)\%$

$A_{CP}(K^\mp \pi^\pm \pi^0) = (-0.3 \pm 0.7)\%$

$A_{CP}(K_0^0 \pi^\pm \pi^0) = (-0.1 \pm 0.7)\%$

$A_{CP}(K_0^0 \pi^\pm \eta) \text{ in } D^\pm \to K_0^0 \pi^\pm \eta = (-0.9 \pm 3.1) \times 10^{-2}$

$A_{CP}(K_0^0 \pi^\pm \pi^0) = (0.0 \pm 1.2)\%$

$A_{CP}(K^\pm \pi^+ \pi^- \pi^0) \text{ in } D^\pm \to K^\pm \pi^+ \pi^- \pi^0 = -0.04 \pm 0.06$

$A_{CP}(\pi^\pm \pi^0) = (0.4 \pm 1.3)\%$ (S = 1.7)

$A_{CP}(\pi^\pm \eta) = (0.3 \pm 0.5)\%$

$A_{CP}(\pi^\pm \pi^0 \eta) \text{ in } D^\pm \to \pi^\pm \pi^0 \eta = (-6 \pm 7) \times 10^{-2}$

$A_{CP}(\pi^\pm \eta \eta) \text{ in } D^\pm \to \pi^\pm \eta \eta = (8 \pm 9) \times 10^{-2}$

$A_{CP}(\pi^\pm \eta'(958)) = (0.41 \pm 0.23)\%$ (S = 1.2)

$A_{CP}(K_0^0 / K^0 K^\pm) = (0.11 \pm 0.17)\%$

$A_{CP}(K_0^0 K^\pm) = (-0.01 \pm 0.07)\%$

$A_{CP}(K_0^0 K^\pm \pi^0) \text{ in } D^\pm \to K_0^0 K^\pm \pi^0 = (1 \pm 4) \times 10^{-2}$

$A_{CP}(K_0^0 K^\pm \pi^0) \text{ in } D^\pm \to K_0^0 K^\pm \pi^0 = (-1 \pm 4) \times 10^{-2}$

$A_{CP}(K^\pm K^- \pi^\pm) = (0.37 \pm 0.29)\%$

$A_{CP}(K^\pm K^0) = (-0.3 \pm 0.4)\%$

$A_{CP}(\phi\pi^\pm) = (0.01 \pm 0.09)\%$ (S = 1.8)

$A_{CP}(K^\pm K_0^0(1430)^0) = (8^{+7}_{-6})\%$

$A_{CP}(K^\pm K_2^0(1430)^0) = (43^{+20}_{-26})\%$

$A_{CP}(K^\pm K_0^0(700)) = (-12^{+18}_{-13})\%$

$A_{CP}(a_0(1450)^0 \pi^\pm) = (-19^{+14}_{-16})\%$

$A_{CP}(\phi(1680)\pi^\pm) = (-9 \pm 26)\%$

$A_{CP}(\pi^\pm 2\pi^0) \text{ in } D^\pm \to \pi^\pm 2\pi^0 = (5.6 \pm 2.7)\%$

$A_{CP}(\pi^+ \pi^- \pi^\pm) = (0.5 \pm 2.0)\%$

$A_{CP}(2\pi^\pm \pi^\mp \pi^0) \text{ in } D^\pm \to 2\pi^\pm \pi^\mp \pi^0 = (0.3 \pm 2.0)\%$

$A_{CP}(2\pi^\pm \pi^\mp 2\pi^0) \text{ in } D^\pm \to 2\pi^\pm \pi^\mp 2\pi^0 = (-4 \pm 4)\%$

$A_{CP}(\pi^+ \pi^- \pi^\pm \eta) \text{ in } D^\pm \to \pi^+ \pi^- \pi^\pm \eta = (3 \pm 5) \times 10^{-2}$

$A_{CP}(K_0^0 K^\pm \pi^+ \pi^-) = (-4 \pm 7)\%$

$A_{CP}(K^\pm \pi^0) = (-3 \pm 5)\%$

$A_{CP}(K^\pm \eta) \text{ in } D^\pm \to K^\pm \eta = (-6 \pm 11) \times 10^{-2}$
χ² tests of CP-violation (CPV)

Local CPV in $D^± \to \pi^+\pi^-\pi^\pm = 78.1\%$

Local CPV in $D^± \to K^+K^-\pi^\pm = 31\%$

Local CPV in $D^± \to K^+K^-K^\pm = 31.6\%$

CP violating asymmetries of P-odd (T-odd) moments

$$A_T(K_S^0 K^\pm \pi^+ \pi^-) = (-3 \pm 8) \times 10^{-3} \quad [\text{ü}] \quad (S = 1.1)$$

$$A_{T\text{viol}}(K^+ K^- K_S^0 \pi^+) \text{ in } D^\pm \to K^+ K^- K_S^0 \pi^\pm = (-3.3 \pm 2.7)\%$$

D⁺ form factors

$$f_+(0)|V_{cs}| \text{ in } \bar{K}^0 \ell^+ \nu_\ell = 0.719 \pm 0.011 \quad (S = 1.6)$$

$$r_1 \equiv \bar{a}_1/a_0 \text{ in } \bar{K}^0 \ell^+ \nu_\ell = -2.13 \pm 0.14$$

$$r_2 \equiv \bar{a}_2/a_0 \text{ in } \bar{K}^0 \ell^+ \nu_\ell = -3 \pm 12 \quad (S = 1.5)$$

$$f_+(0)|V_{cd}| \text{ in } \pi^0 \ell^+ \nu_\ell = 0.1407 \pm 0.0025$$

$$r_1 \equiv \bar{a}_1/a_0 \text{ in } \pi^0 \ell^+ \nu_\ell = -2.00 \pm 0.13$$

$$r_2 \equiv \bar{a}_2/a_0 \text{ in } \pi^0 \ell^+ \nu_\ell = -4 \pm 5$$

$$f_+(0)|V_{cd}| \text{ in } D^+ \to \eta \ell^+ \nu_\ell (\ell = e \text{ or } \nu) = (8.4 \pm 0.4) \times 10^{-2}$$

$$r_1 \equiv \bar{a}_1/a_0 \text{ in } D^+ \to \eta e^+ \nu_e = -5.3 \pm 2.7 \quad (S = 1.9)$$

$$r_v \equiv V(0)/A_1(0) \text{ in } D^+ \to \omega e^+ \nu_e = 1.24 \pm 0.11$$

$$r_2 \equiv A_2(0)/A_1(0) \text{ in } D^+ \to \omega e^+ \nu_e = 1.06 \pm 0.16$$

$$r_v \equiv V(0)/A_1(0) \text{ in } D^+, D^0 \to \rho e^+ \nu_e = 1.64 \pm 0.10 \quad (S = 1.2)$$

$$r_2 \equiv A_2(0)/A_1(0) \text{ in } D^+, D^0 \to \rho e^+ \nu_e = 0.84 \pm 0.06$$

$$r_v \equiv V(0)/A_1(0) \text{ in } \bar{K}^*(892)^0 \ell^+ \nu_\ell = 1.49 \pm 0.05 \quad (S = 2.1)$$

$$r_2 \equiv A_2(0)/A_1(0) \text{ in } \bar{K}^*(892)^0 \ell^+ \nu_\ell = 0.802 \pm 0.021$$

$$r_3 \equiv A_3(0)/A_1(0) \text{ in } \bar{K}^*(892)^0 \ell^+ \nu_\ell = 0.0 \pm 0.4$$

$$\Gamma_L/\Gamma_T \text{ in } \bar{K}^*(892)^0 \ell^+ \nu_\ell = 1.13 \pm 0.08$$

$$\Gamma_+/\Gamma_- \text{ in } \bar{K}^*(892)^0 \ell^+ \nu_\ell = 0.22 \pm 0.06 \quad (S = 1.6)$$

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

<table><thead><tr><th>D<sup>+</sup> DECAY MODES</th><th>Fraction (Γ<sub>I</sub>/Γ)</th><th>Scale factor/ Confidence level</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td colspan="4"><strong>Inclusive modes</strong></td></tr><tr><td>e<sup>+</sup> semileptonic</td><td>(16.07 ± 0.30) %</td><td>-</td><td>-</td></tr><tr><td>μ<sup>+</sup> anything</td><td>(17.6 ± 3.2) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>-</sup> anything</td><td>(25.7 ± 1.4) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub> anything</td><td>(33.1 ± 0.4) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>+</sup> anything</td><td>(5.9 ± 0.8) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>-</sup> anything</td><td>(6 ± 5) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> anything</td><td>(23 ± 5) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> anything</td><td>&lt; 6.6 %</td><td>CL=90%</td><td>-</td></tr><tr><td>η anything</td><td>(6.3 ± 0.7) %</td><td>-</td><td>-</td></tr><tr><td>η' anything</td><td>(1.04 ± 0.18) %</td><td>-</td><td>-</td></tr><tr><td>φ anything</td><td>(1.12 ± 0.04) %</td><td>-</td><td>-</td></tr><tr><td>π<sup>+</sup> π<sup>+</sup> π<sup>-</sup> anything</td><td>(15.25 ± 0.20) %</td><td>-</td><td>-</td></tr></tbody></table>

Leptonic and semileptonic modes

<table><tbody><tr><td>e<sup>+</sup> ν<sub>e</sub></td><td>&lt; 8.8</td><td>× 10<sup>-6</sup>CL=90%</td><td>935</td></tr><tr><td>γ e<sup>+</sup> ν<sub>e</sub></td><td>&lt; 3.0</td><td>× 10<sup>-5</sup>CL=90%</td><td>935</td></tr><tr><td>μ<sup>+</sup> ν<sub>μ</sub></td><td>(3.74 ± 0.17) × 10<sup>-4</sup></td><td>-</td><td>932</td></tr><tr><td>τ<sup>+</sup> ν<sub>τ</sub></td><td>(1.20 ± 0.27) × 10<sup>-3</sup></td><td>-</td><td>90</td></tr><tr><td>K<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(8.72 ± 0.09) %</td><td>-</td><td>869</td></tr><tr><td>K<sup>0</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>(8.76 ± 0.19) %</td><td>-</td><td>865</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(4.02 ± 0.18) %</td><td>S=3.2</td><td>864</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>, K<sup>*</sup>(892)<sup>0</sup> →</td><td>(3.77 ± 0.17) %</td><td>-</td><td>722</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> (K<sup>-</sup> π<sup>+</sup>) [0.8-1.0]GeV e<sup>+</sup> ν<sub>e</sub></td><td>(3.39 ± 0.09) %</td><td>-</td><td>864</td></tr><tr><td>(K<sup>-</sup> π<sup>+</sup>)<sub>S-wave</sub> e<sup>+</sup> ν<sub>e</sub></td><td>(2.28 ± 0.11) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(1410)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>, K<sup>*</sup>(1410)<sup>0</sup> → K<sup>-</sup> π<sup>+</sup></td><td>&lt; 6</td><td>× 10<sup>-3</sup>CL=90%</td><td>-</td></tr><tr><td>K<sup>*</sup><sub>2</sub>(1430)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>, K<sup>*</sup><sub>2</sub>(1430)<sup>0</sup> → K<sup>-</sup> π<sup>+</sup></td><td>&lt; 5</td><td>× 10<sup>-4</sup>CL=90%</td><td>-</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> e<sup>+</sup> ν<sub>e</sub> nonresonant</td><td>&lt; 7</td><td>× 10<sup>-3</sup>CL=90%</td><td>864</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(5.40 ± 0.10) %</td><td>S=1.1</td><td>722</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>(3.65 ± 0.34) %</td><td>-</td><td>851</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> μ<sup>+</sup> ν<sub>μ</sub>, K<sup>*</sup>(892)<sup>0</sup> → K<sup>-</sup> π<sup>+</sup></td><td>(3.52 ± 0.10) %</td><td>-</td><td>717</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> μ<sup>+</sup> ν<sub>μ</sub> nonresonant</td><td>(1.9 ± 0.5) × 10<sup>-3</sup></td><td>-</td><td>851</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>(5.27 ± 0.15) %</td><td>-</td><td>717</td></tr></tbody></table>

<table><tbody><tr><td>K<sup>-</sup> π<sup>+</sup> π<sup>0</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>&lt; 1.5</td><td>× 10<sup>-3</sup>CL=90%</td><td>825</td></tr><tr><td>K<sub>1</sub>(1270)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>, K<sub>1</sub><sup>0</sup> →</td><td>(1.06 ± 0.15) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>-</sup><sub>0</sub><sup>+</sup> π<sup>0</sup></td><td>&lt; 2.3</td><td>× 10<sup>-4</sup>CL=90%</td><td>380</td></tr><tr><td>K<sup>*</sup><sub>0</sub>(1430)<sup>0</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>&lt; 1.5</td><td>× 10<sup>-3</sup>CL=90%</td><td>105</td></tr><tr><td>π<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(3.72 ± 0.17) × 10<sup>-3</sup></td><td>S=2.0</td><td>930</td></tr><tr><td>π<sup>0</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>(3.50 ± 0.15) × 10<sup>-3</sup></td><td>-</td><td>927</td></tr><tr><td>η e<sup>+</sup> ν<sub>e</sub></td><td>(1.11 ± 0.07) × 10<sup>-3</sup></td><td>-</td><td>855</td></tr><tr><td>η μ<sup>+</sup> ν<sub>μ</sub></td><td>(1.04 ± 0.11) × 10<sup>-3</sup></td><td>-</td><td>851</td></tr><tr><td>π<sup>-</sup> π<sup>+</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(2.49 ± 0.11) × 10<sup>-3</sup></td><td>S=1.2</td><td>924</td></tr><tr><td>f<sub>0</sub>(500)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>, f<sub>0</sub>(500)<sup>0</sup> →</td><td>(6.4 ± 0.6) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>ρ<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(1.90 ± 0.10) × 10<sup>-3</sup></td><td>S=1.2</td><td>774</td></tr><tr><td>ρ<sup>0</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>(2.4 ± 0.4) × 10<sup>-3</sup></td><td>-</td><td>770</td></tr><tr><td>ω e<sup>+</sup> ν<sub>e</sub></td><td>(1.69 ± 0.11) × 10<sup>-3</sup></td><td>-</td><td>771</td></tr><tr><td>ω μ<sup>+</sup> ν<sub>μ</sub></td><td>(1.77 ± 0.21) × 10<sup>-3</sup></td><td>-</td><td>767</td></tr><tr><td>η'(958) e<sup>+</sup> ν<sub>e</sub></td><td>(2.0 ± 0.4) × 10<sup>-4</sup></td><td>-</td><td>690</td></tr><tr><td>a(980)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub>, a(980)<sup>0</sup> → ηπ<sup>0</sup></td><td>(1.7 ± 0.8) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><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; 1.75</td><td>× 10<sup>-4</sup>CL=90%</td><td>-</td></tr><tr><td>φ e<sup>+</sup> ν<sub>e</sub></td><td>&lt; 1.3</td><td>× 10<sup>-5</sup>CL=90%</td><td>657</td></tr><tr><td>D<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>&lt; 1.0</td><td>× 10<sup>-4</sup>CL=90%</td><td>5</td></tr></tbody></table>

Hadronic modes with a K or KKK

<table><tbody><tr><td>K<sup>0</sup><sub>S</sub> π<sup>+</sup></td><td>(1.562 ± 0.031) %</td><td>S=1.7</td><td>863</td></tr><tr><td>K<sup>0</sup><sub>L</sub> π<sup>+</sup></td><td>(1.46 ± 0.05) %</td><td>-</td><td>863</td></tr><tr><td>K<sup>-</sup>2π<sup>+</sup></td><td>[jj] (9.38 ± 0.16) %</td><td>S=1.6</td><td>846</td></tr><tr><td>(K<sup>-</sup>π<sup>+</sup>)<sub>S-wave</sub> π<sup>+</sup></td><td>(7.52 ± 0.17) %</td><td>-</td><td>846</td></tr><tr><td>K<sup>*</sup><sub>0</sub>(1430)<sup>0</sup> π<sup>+</sup>, [kk] (1.25 ± 0.06) %</td><td>(1.25 ± 0.06) %</td><td>-</td><td>382</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup>(1410)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup>0 →</td><td>(1.04 ± 0.12) %</td><td>-</td><td>714</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup>0 →</td><td>not seen</td><td>-</td><td>381</td></tr><tr><td>K<sup>*</sup><sub>2</sub>(1430)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup><sub>2</sub>(1430)<sup>0</sup> → K<sup>-</sup>π<sup>+</sup></td><td>[kk] (2.3 ± 0.7) × 10<sup>-4</sup></td><td>-</td><td>371</td></tr><tr><td>K<sup>*</sup>(1680)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup>(1680)<sup>0</sup> → K<sup>-</sup>π<sup>+</sup></td><td>[kk] (2.2 ± 1.1) × 10<sup>-4</sup></td><td>-</td><td>58</td></tr><tr><td>K<sup>-</sup>(2π<sup>+</sup>)<sub>I=2</sub></td><td>(1.45 ± 0.26) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub> π<sup>+</sup> π<sup>0</sup></td><td>[jj] (7.36 ± 0.20) %</td><td>-</td><td>845</td></tr><tr><td>K<sup>0</sup><sub>S</sub> ρ<sup>+</sup></td><td>(6.14 ± 0.60) %</td><td>-</td><td>677</td></tr><tr><td>K<sup>0</sup><sub>S</sub> ρ(1450)<sup>+</sup>, ρ<sup>+</sup> → π<sup>+</sup> π<sup>0</sup></td><td>(1.5 ± 1.2) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup>(892)<sup>0</sup> → K<sup>0</sup><sub>S</sub> π<sup>0</sup></td><td>(2.64 ± 0.32) × 10<sup>-3</sup></td><td>-</td><td>714</td></tr><tr><td>K<sup>0</sup><sub>0</sub>(1430)<sup>0</sup> π<sup>+</sup>, K<sup>0</sup><sub>0</sub><sup>0</sup> →</td><td>(2.7 ± 0.9) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub> π<sup>0</sup></td><td>K<sup>0</sup><sub>S</sub> π<sup>0</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub> π<sup>0</sup> π<sup>+</sup> π<sup>0</sup> nonresonant</td><td>(10 + 7) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub> π<sup>+</sup>, K<sup>0</sup><sub>S</sub> →</td><td>(6 + 5) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub> π<sup>+</sup> π<sup>0</sup> nonresonant</td><td>(3 ± 4) × 10<sup>-3</sup></td><td>-</td><td>845</td></tr><tr><td>K<sup>0</sup><sub>S</sub> π<sup>+</sup> π<sup>0</sup> nonresonant and K<sup>0</sup>π<sup>+</sup></td><td>(1.37 ± 0.21) %</td><td>-</td><td>-</td></tr><tr><td>(K<sup>0</sup><sub>S</sub> π<sup>0</sup>)<sub>S-wave</sub> π<sup>+</sup></td><td>(1.27 ± 0.33) %</td><td>-</td><td>845</td></tr><tr><td>K<sup>0</sup><sub>S</sub> π<sup>+</sup> ω</td><td>(7.1 ± 0.5) × 10<sup>-3</sup></td><td>-</td><td>606</td></tr><tr><td>K<sup>0</sup><sub>S</sub> π<sup>+</sup> η</td><td>(1.31 ± 0.05) %</td><td>-</td><td>722</td></tr><tr><td>K<sup>0</sup><sub>S</sub> π<sup>+</sup> η'(958)</td><td>(1.90 ± 0.21) × 10<sup>-3</sup></td><td>-</td><td>481</td></tr><tr><td>K<sup>-</sup>2π<sup>+</sup> π<sup>0</sup></td><td>[ll] (6.25 ± 0.18) %</td><td>-</td><td>817</td></tr><tr><td>K<sup>0</sup><sub>S</sub>2π<sup>+</sup> π<sup>-</sup></td><td>[ll] (3.10 ± 0.09) %</td><td>-</td><td>814</td></tr><tr><td>K<sup>0</sup><sub>S</sub>π<sup>+</sup>2π<sup>0</sup></td><td>(2.89 ± 0.09) %</td><td>-</td><td>817</td></tr><tr><td>K<sup>0</sup><sub>S</sub> a<sub>1</sub>(1260)<sup>+</sup>, a<sub>1</sub><sup>+</sup> →</td><td>(8.7 ± 1.6) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub> a<sub>1</sub>(1260)<sup>+</sup>, a<sub>1</sub><sup>+</sup> →</td><td>(1.0 ± 0.6) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>f<sub>0</sub>(500) π<sup>+</sup>, f<sub>0</sub><sup>+</sup> → π<sup>0</sup> π<sup>0</sup></td><td>(2.3 ± 0.4) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> π<sup>0</sup>, K<sup>*</sup>0 →</td><td>K<sup>0</sup><sub>S</sub> π<sup>0</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> ρ<sup>+</sup>, K<sup>*</sup>0 → K<sup>0</sup><sub>S</sub> π<sup>0</sup></td><td>(9.7 ± 0.9) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> π<sup>+</sup> π<sup>0</sup> non-resonant, K<sup>0</sup>0 →</td><td>(2.6 ± 0.7) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub> ρ<sup>+</sup> π<sup>0</sup> non-resonant</td><td>(4.8 ± 0.5) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>-</sup>2π<sup>+</sup> η</td><td>(1.35 ± 0.12) × 10<sup>-3</sup></td><td>-</td><td>657</td></tr></tbody></table>
Meson Summary Table

$D^0$

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

$\text{Mass } m = 1864.84 \pm 0.05 \text{ MeV}$

$m_{D^{\pm}} - m_{D^0} = 4.822 \pm 0.015 \text{ MeV}$

$\text{Mean life } \tau = (410.3 \pm 1.0) \times 10^{-15} \text{ s}$

$\tau C = 123.01 \mu\text{m}$

Mixing and related parameters

$|m_{D_1^0} - m_{D_2^0}| = (0.997 \pm 0.116) \times 10^{10} \hbar \text{ s}^{-1}$

$(\Gamma_{D_1^0} - \Gamma_{D_2^0})/\Gamma = 2\gamma = (1.394 \pm 0.056) \times 10^{-2}$

$|q/p| = 0.995 \pm 0.016$

$A_{\Gamma} = (0.089 \pm 0.113) \times 10^{-3}$

$\phi^{K_0^2 \pi \pi} = 0.02^{+0.04}_{-0.05}$

$K^{+} \pi^{-} \text{ relative strong phase: } \cos \delta = 0.990 \pm 0.025$

$K^{-} \pi^{+} \pi^{0} \text{ coherence factor } R_{K \pi \pi^{0}} = 0.792 \pm 0.033$

$K^{-} \pi^{+} \pi^{0} \text{ average relative strong phase } \delta K^{+} \pi^{0} = (198 \pm 10)^{\circ}$

$K^{-} \pi^{-} 2\pi^{+} \text{ coherence factor } R_{K 3\pi} = 0.52^{+0.10}_{-0.09}$

$K^{-} \pi^{-} 2\pi^{+} \text{ average relative strong phase } \delta K^{3\pi} = (149^{+26}_{-16})^{\circ}$ (S = 1.4)

$D^0 \rightarrow K^{-} \pi^{-} 2\pi^{+}, R_{K \pi} (y \cos \delta K^{3\pi} - x \sin \delta K^{3\pi}) = (-3.0 \pm 0.7) \times 10^{-3} \text{ TeV}^{-1}$

$K_0^S K^+ \pi^- \text{ coherence factor } R_{K_0^S K_\pi} = 0.70 \pm 0.08$

$K_0^S K^+ \pi^- \text{ average relative strong phase } \delta K_0^S K^\pi = (0 \pm 16)^{\circ}$

$K^* K \text{ coherence factor } R_{K^* K} = 0.94 \pm 0.12$

$K^* K \text{ average relative strong phase } \delta K^* K = (-17 \pm 18)^{\circ}$

CP-even fractions (labeled by the D⁰ decay)

$\text{CP-even fraction in } D^0 \rightarrow K_S^0 \pi^+ \pi^- \pi^0 \text{ decays} = (23.6 \pm 0.9)\%$

$\text{CP-even fraction in } D^0 \rightarrow \pi^+ \pi^- \pi^0 \text{ decays} = (97.3 \pm 1.7)\%$

$\text{CP-even fraction in } D^0 \rightarrow \pi^+ \pi^- \pi^+ \pi^- \text{ decays} = (74.6 \pm 1.6)^{\circ}$ (S = 1.2)

$\text{CP-even fraction in } D^0 \rightarrow \pi^+ \pi^- 2\pi^0 \text{ decays} = 0.68 \pm 0.08$

$\text{CP-even fraction in } D^0 \rightarrow 2\pi^+ 2\pi^- \pi^0 \text{ decays} = 0.44 \pm 0.10$

$\text{CP-even fraction in } D^0 \rightarrow \pi^+ \pi^- 3\pi^0 \text{ decays} = 0.52^{+0.34}_{-0.27}$

$\text{CP-even fraction in } D^0 \rightarrow 2\pi^+ 2\pi^- 2\pi^0 \text{ decays} = 0.79 \pm 0.26$

$\text{CP-even fraction in } D^0 \rightarrow K^+ K^- \pi^0 \text{ decays} = (73 \pm 6)\%$

$\text{CP-even fraction in } D^0 \rightarrow K^+ K^- \pi^+ \pi^- \text{ decays} = (74.1 \pm 3.0)^{\circ}$

CP-violation decay-rate asymmetries (labeled by the D⁰ decay)

$A_{CP}(K^{+}K^{-}) = (4 \pm 5) \times 10^{-4}$

$A_{CP}(2K_S^0) = (-1.9 \pm 1.1)\%$ (S = 1.1)

$A_{CP}(\pi^{+} \pi^{-}) = (0.13 \pm 0.14)\%$

$A_{CP}(\pi^{0} \pi^{0}) = (0.0 \pm 0.6)\%$

$A_{CP}(\rho^{\gamma}) = (6 \pm 15) \times 10^{-2}$

$A_{CP}(\phi^{\gamma}) = (-9 \pm 7) \times 10^{-2}$

$A_{CP}(K^{*}(892)^{0} \gamma) = (-0.3 \pm 2.0) \times 10^{-2}$

$A_{CP}(\pi^{+} \pi^{-} \pi^{0}) = (0.4 \pm 0.4)\%$

$A_{CP}(\eta \pi^{+} \pi^{-}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow \eta \pi^{+} \pi^{-} = (0.9 \pm 1.3) \times 10^{-2}$

$A_{CP}(\rho(770)^{+} \pi^{-} \rightarrow \pi^{+} \pi^{-} \pi^{0}) = (1.2 \pm 0.9)\%$ [qq]

$A_{CP}(\rho(770)^{0} \pi^{0} \rightarrow \pi^{+} \pi^{-} \pi^{0}) = (-3.1 \pm 3.0)\%$ [qq]

$A_{CP}(\rho(770)^{-} \pi^{+} \rightarrow \pi^{+} \pi^{-} \pi^{0}) = (-1.0 \pm 1.7)\%$ [qq]

$A_{CP}(\rho(1450)^{+} \pi^{-} \rightarrow \pi^{+} \pi^{-} \pi^{0}) = (0 \pm 70)\%$ [qq]

$A_{CP}(\rho(1450)^{0} \pi^{0} \rightarrow \pi^{+} \pi^{-} \pi^{0}) = (-20 \pm 40)\%$ [qq]

$A_{CP}(\rho(1450)^{-} \pi^{+} \rightarrow \pi^{+} \pi^{-} \pi^{0}) = (6 \pm 9)\%$ [qq]

$A_{CP}(\rho(1700)^{+} \pi^{-} \rightarrow \pi^{+} \pi^{-} \pi^{0}) = (-5 \pm 14)\%$ [qq]

$A_{CP}(\rho(1700)^{0} \pi^{0} \rightarrow \pi^{+} \pi^{-} \pi^{0}) = (13 \pm 9)\%$ [qq]

$A_{CP}(\rho(1700)^{-} \pi^{+} \rightarrow \pi^{+} \pi^{-} \pi^{0}) = (8 \pm 11)\%$ [qq]

$A_{CP}(f_0(980) \pi^0 \rightarrow \pi^+ \pi^- \pi^0) = (0 \pm 35)\%$ [qq]

$A_{CP}(f_0(1370) \pi^0 \rightarrow \pi^+ \pi^- \pi^0) = (25 \pm 18)\%$ [qq]

$A_{CP}(f_0(1500) \pi^0 \rightarrow \pi^+ \pi^- \pi^0) = (0 \pm 18)\%$ [qq]

$A_{CP}(f_0(1710) \pi^0 \rightarrow \pi^+ \pi^- \pi^0) = (0 \pm 24)\%$ [qq]

$A_{CP}(f_2(1270) \pi^0 \rightarrow \pi^+ \pi^- \pi^0) = (-4 \pm 6)\%$ [qq]

$A_{CP}(\sigma(400) \pi^0 \rightarrow \pi^+ \pi^- \pi^0) = (6 \pm 8)\%$ [qq]

$A_{CP}(\text{nonresonant } \pi^{+} \pi^{-} \pi^{0}) = (-13 \pm 23)\%$ [qq]

$A_{CP}(\pi^{+} \pi^{-} 2\pi^{0}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow \pi^{+} \pi^{-} 2\pi^{0} = (-2.5 \pm 2.0)\%$

$A_{CP}(a_1(1260)^{+} \pi^{-} \rightarrow 2\pi^{+} \pi^{-}) = (5 \pm 6)\%$

$A_{CP}(a_1(1260)^{-} \pi^{+} \rightarrow 2\pi^{+} 2\pi^{-}) = (14 \pm 18)\%$

$A_{CP}(\pi(1300)^{+} \pi^{-} \rightarrow 2\pi^{+} 2\pi^{-}) = (-2 \pm 15)\%$

$A_{CP}(\pi(1300)^{-} \pi^{+} \rightarrow 2\pi^{+} 2\pi^{-}) = (-6 \pm 30)\%$

$A_{CP}(a_3(1640)^{+} \pi^{-} \rightarrow 2\pi^{+} 2\pi^{-}) = (9 \pm 26)\%$

$A_{CP}(\pi_2(1670)^{+} \pi^{-} \rightarrow 2\pi^{+} 2\pi^{-}) = (7 \pm 18)\%$

$A_{CP}(\sigma f_0(1370) \rightarrow 2\pi^{+} 2\pi^{-}) = (-15 \pm 19)\%$

$A_{CP}(\sigma \rho(770)^{0} \rightarrow 2\pi^{+} 2\pi^{-}) = (3 \pm 27)\%$

$A_{CP}(2\rho(770)^{0} \rightarrow 2\pi^{+} 2\pi^{-}) = (-6 \pm 6)\%$

$A_{CP}(2f_2(1270) \rightarrow 2\pi^{+} 2\pi^{-}) = (-28 \pm 24)\%$

$A_{CP}(\pi^{+} \pi^{-} \pi^{0} \eta) \text{ in } D^{0}, \bar{D}^{0} \rightarrow \pi^{+} \pi^{-} \pi^{0} \eta = (-6 \pm 6) \times 10^{-2}$

$A_{CP}(K^{+} K^{-} \pi^{0}) = (-1.0 \pm 1.7)\%$

$A_{CP}(K^{*}(892)^{+} K^{-} \rightarrow K^{+} K^{-} \pi^{0}) = (-0.9 \pm 1.3)\%$ [qq]

$A_{CP}(K^{*}(1410)^{+} K^{-} \rightarrow K^{+} K^{-} \pi^{0}) = (-21 \pm 24)\%$ [qq]

$A_{CP}((K^{+} \pi^{0})_{S-wave} K^{-} \rightarrow K^{+} K^{-} \pi^{0}) = (7 \pm 15)\%$ [qq]

$A_{CP}(\phi(1020) \pi^{0} \rightarrow K^{+} K^{-} \pi^{0}) = (1.1 \pm 2.2)\%$ [qq]

$A_{CP}(f_0(980) \pi^{0} \rightarrow K^{+} K^{-} \pi^{0}) = (-3 \pm 19)\%$ [qq]

$A_{CP}(a_0(980)^{0} \pi^{0} \rightarrow K^{+} K^{-} \pi^{0}) = (-5 \pm 16)\%$ [qq]

$A_{CP}(f_2^{*}(1525) \pi^{0} \rightarrow K^{+} K^{-} \pi^{0}) = (0 \pm 160)\%$ [qq]

$A_{CP}(K^{*}(892)^{-} K^{+} \rightarrow K^{+} K^{-} \pi^{0}) = (-5 \pm 4)\%$ [qq]

$A_{CP}(K^{*}(1410)^{-} K^{+} \rightarrow K^{+} K^{-} \pi^{0}) = (-17 \pm 29)\%$ [qq]

$A_{CP}((K^{-} \pi^{0})_{S-wave} K^{+} \rightarrow K^{+} K^{-} \pi^{0}) = (-10 \pm 40)\%$ [qq]

$A_{CP}(K^{+} K^{-} \eta) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{+} K^{-} \eta = (-1.4 \pm 3.5) \times 10^{-2}$

$A_{CP}(\phi(1020) \eta \rightarrow K^{+} K^{-} \eta) \text{ in } D^{0}, \bar{D}^{0} \rightarrow \phi(1020) \eta = (-2 \pm 4) \times 10^{-2}$

$A_{CP}(K_0^S \pi^0) = (-0.20 \pm 0.17)\%$

$A_{CP}(K_0^0 \eta) = (0.5 \pm 0.5)\%$

$A_{CP}(K_S^0 \eta') = (1.0 \pm 0.7)\%$

$A_{CP}(K_0^S \phi) = (-3 \pm 9)\%$

$A_{CP}(K^{-} \pi^{+}) = (0.2 \pm 0.5)\%$

$A_{CP}(K^{+} \pi^{-}) = (-0.9 \pm 1.4)\%$

$A_{CP}(D_{CP}(\pm 1) \rightarrow K^{\mp} \pi^{\pm}) = (13.1 \pm 1.0)\%$

$A_{CP}(K^{-} \pi^{+} \pi^{0}) = (0.1 \pm 0.5)\%$

$A_{CP}(K^{+} \pi^{-} \pi^{0}) = (0 \pm 5)\%$

$A_{CP}(K_0^S \pi^{+} \pi^{-}) = (-0.1 \pm 0.8)\%$

$A_{CP}(K^{\mp} \pi^{\pm} \eta) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{\mp} \pi^{\pm} \eta = (-1.9 \pm 1.6) \times 10^{-2}$

$A_{CP}(K_0^S \pi^0 \eta) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K_0^S \pi^0 \eta = (-3.9 \pm 3.3) \times 10^{-2}$

$A_{CP}(K^{\mp} \pi^{\pm} \pi^{0} \eta) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{\mp} \pi^{\pm} \pi^{0} \eta = (-8 \pm 5) \times 10^{-2}$

$A_{CP}(K^{*}(892)^{-} \pi^{+} \rightarrow K_0^S \pi^{+} \pi^{-}) = (0.4 \pm 0.5)\%$

$A_{CP}(K^{*}(892)^{+} \pi^{-} \rightarrow K_0^S \pi^{+} \pi^{-}) = (1 \pm 6)\%$

$A_{CP}(\bar{K}^0 \rho^0 \rightarrow K_S^0 \pi^+ \pi^-) = (-0.1 \pm 0.5)\%$

$A_{CP}(\bar{K}^0 \omega \rightarrow K_S^0 \pi^+ \pi^-) = (-13 \pm 7)\%$

$A_{CP}(\bar{K}_0^0 f_0(980) \rightarrow K_S^0 \pi^+ \pi^-) = (-0.4 \pm 2.7)\%$

$A_{CP}(\bar{K}_0^0 f_2(1270) \rightarrow K_S^0 \pi^+ \pi^-) = (-4 \pm 5)\%$

$A_{CP}(\bar{K}_0^0 f_0(1370) \rightarrow K_S^0 \pi^+ \pi^-) = (-1 \pm 9)\%$

$A_{CP}(\bar{K}_0^0 \rho^0(1450) \rightarrow K_S^0 \pi^+ \pi^-) = (-4 \pm 10)\%$

$A_{CP}(\bar{K}_0^0 f_0(600) \rightarrow K_S^0 \pi^+ \pi^-) = (-3 \pm 5)\%$

$A_{CP}(K^{*}(1410)^{-} \pi^{+} \rightarrow K_0^S \pi^{+} \pi^{-}) = (-2 \pm 9)\%$

$A_{CP}(K_0^* (1430)^{-} \pi^{+} \rightarrow K_0^S \pi^{+} \pi^{-}) = (4 \pm 4)\%$

$A_{CP}(K_0^* (1430)^{+} \pi^{+} \rightarrow K_0^S \pi^{+} \pi^{-}) = (12 \pm 15)\%$

$A_{CP}(K_2^* (1430)^{+} \pi^{-} \rightarrow K_0^S \pi^{+} \pi^{-}) = (3 \pm 6)\%$

$A_{CP}(K_2^* (1430)^{+} \pi^{-} \rightarrow K_0^S \pi^{+} \pi^{-}) = (-10 \pm 32)\%$

$A_{CP}(K^{-} \pi^{+} \pi^{-}) = (0.2 \pm 0.5)\%$

$A_{CP}(K^{+} \pi^{-} \pi^{+} \pi^{-}) = (-2 \pm 4)\%$

$A_{CP}(K^{+} K^{-} \pi^{+} \pi^{-}) = (1.3 \pm 1.7)\%$

$A_{CP}(2K_0^S \pi^+ \pi^-) \text{ in } D^0, \bar{D}^0 \rightarrow 2K_0^S \pi^+ \pi^- = (-2.5 \pm 1.4) \times 10^{-2}$

$A_{CP}(K_1^* (1270)^{+} K^{-} \rightarrow K^{+} K^{-} \pi^{+} \pi^{-}) = (-2.3 \pm 1.7)\%$

$A_{CP}(K_1^* (1270)^{+} K^{-} \rightarrow K^{*0} \pi^{+} K^{-}) = (-1 \pm 10)\%$

$A_{CP}(K_1^* (1270)^{-} K^{+} \rightarrow K^{*0} \pi^{+} K^{-}) = (-10 \pm 32)\%$

$A_{CP}(K_1^* (1270)^{-} K^{+} \rightarrow K^{+} K^{-} \pi^{+} \pi^{-}) = (1.7 \pm 3.5)\%$

$A_{CP}(K_1^* (1270)^{+} K^{-} \rightarrow \rho^0 K^{+} K^{-}) = (-7 \pm 17)\%$

$A_{CP}(K_1^* (1270)^{-} K^{+} \rightarrow \rho^0 K^{-} K^{+}) = (10 \pm 13)\%$

$A_{CP}(K_1 (1400)^{+} K^{-} \rightarrow K^{+} K^{-} \pi^{+} \pi^{-}) = (-4.4 \pm 2.1)\%$

$A_{CP}(K^{*}(1410)^{+} K^{-} \rightarrow K^{*0} \pi^{+} K^{-}) = (-20 \pm 17)\%$

$A_{CP}(K^{*}(1410)^{-} K^{+} \rightarrow K^{*0} \pi^{-} K^{+}) = (-1 \pm 14)\%$

$A_{CP}(K^{*}(1680)^{+} K^{-} \rightarrow K^{+} K^{-} \pi^{+} \pi^{-}) = (-17 \pm 29)\%$

$A_{CP}(K_0^* K^{*0}) \text{ in } D^0, \bar{D}^0 \rightarrow K_0^* K^{*0} = (-5 \pm 14)\%$

$A_{CP}(K_0^* K^{*0} S-wave) = (-3.9 \pm 2.2)\%$

$A_{CP}(\phi \rho^0) \text{ in } D^0, \bar{D}^0 \rightarrow \phi \rho^0 = (1 \pm 9)\%$

$A_{CP}(\phi \rho^0 S-wave) = (-3 \pm 5)\%$

$A_{CP}(\phi \rho^0 D-wave) = (-37 \pm 19)\%$

$A_{CP}(\phi(\pi^{+} \pi^{-})_{S-wave}) = (6 \pm 6)\%$

$A_{CP}(K^{*}(892)^{0} (K^{-} \pi^{+})_{S-wave}) = (-10 \pm 40)\%$

$A_{CP}(K^{+} K^{-} \pi^{+} \pi^{-} \text{ non-resonant}) = (8 \pm 20)\%$

$A_{CP}((K^{-} \pi^{+})_{P-wave} (K^{+} \pi^{-})_{S-wave}) = (3 \pm 11)\%$

$A_{CP}(K^{+} K^{-} \mu^{+} \mu^{-}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{+} K^{-} \mu^{+} \mu^{-} = (-2 \pm 6)\%$

$A_{CP}(K^{+} K^{-} \mu^{+} \mu^{-}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow K^{+} K^{-} \mu^{+} \mu^{-} = (-2 \pm 6)\%$

$A_{CP}(\pi^{+} \pi^{-} \mu^{+} \mu^{-}) \text{ in } D^{0}, \bar{D}^{0} \rightarrow \pi^{+} \pi^{-} \mu^{+} \mu^{-} = (2.9 \pm 2.1)\%$
CP-violation asymmetry difference

$$ \Delta A_{CP} = A_{CP}(K^{+} K^{-}) - A_{CP}(\pi^{+} \pi^{-}) = (-0.154 \pm 0.029)\% $$

$\chi^2$ tests of CP-violation (CPV) p-values

$$ \text{Local CPV in } D^0, \bar{D}^0 \to \pi^+ \pi^- \pi^0 = 10.6\% $$

$$ \text{Local CPV in } D^0, \bar{D}^0 \to \pi^+ \pi^- \pi^+ \pi^- = (0.6 \pm 0.2)\% $$

$$ \text{Local CPV in } D^0, \bar{D}^0 \to K_S^0 \pi^+ \pi^- = 96\% $$

$$ \text{Local CPV in } D^0, \bar{D}^0 \to K^+ K^- \pi^0 = 16.6\% $$

$$ \text{Local CPV in } D^0, \bar{D}^0 \to K^+ K^- \pi^+ \pi^- = 9.1\% $$

T-violation decay-rate asymmetry

$$ A_T(K^+ K^- \pi^+ \pi^-) = (2.9 \pm 2.2) \times 10^{-3} \text{ [ii]} $$

$$ A_{T\text{viol}}(2K_S^0 \pi^+ \pi^-) \text{ in } D^0, \bar{D}^0 \to 2K_S^0 \pi^+ \pi^- = (-1.9 \pm 1.4) \times 10^{-2} $$

$$ A_{T\text{viol}}(K_S^0 \pi^+ \pi^- \pi^0) \text{ in } D^0, \bar{D}^0 \to K_S^0 \pi^+ \pi^- \pi^0 = (-0.3^{+1.4}_{-1.6}) \times 10^{-3} $$

CPT-violation decay-rate asymmetry

$$ A_{CPT}(K^{\pm} \pi^{\pm}) = 0.008 \pm 0.008 $$

Form factors

$$ r_V \equiv V(0)/A_1(0) \text{ in } D^0 \to K^*(892)^- \ell^+ \nu_\ell = 1.46 \pm 0.07 $$

$$ r_2 \equiv A_2(0)/A_1(0) \text{ in } D^0 \to K^*(892)^- \ell^+ \nu_\ell = 0.68 \pm 0.06 $$

$$ f_+(0) \text{ in } D^0 \to K^- \ell^+ \nu_\ell = 0.736 \pm 0.004 $$

$$ f_+(0) |V_{cs}| \text{ in } D^0 \to K^- \ell^+ \nu_\ell = 0.7166 \pm 0.0030 $$

$$ r_1 \equiv a_1/a_0 \text{ in } D^0 \to K^- \ell^+ \nu_\ell = -2.40 \pm 0.16 $$

$$ r_2 \equiv a_2/a_0 \text{ in } D^0 \to K^- \ell^+ \nu_\ell = 5 \pm 4 $$

$$ f_+(0) \text{ in } D^0 \to \pi^- \ell^+ \nu_\ell = 0.637 \pm 0.009 $$

$$ f_+(0) |V_{cd}| \text{ in } D^0 \to \pi^- \ell^+ \nu_\ell = 0.1436 \pm 0.0026 \quad (S=1.5) $$

$$ r_1 \equiv a_1/a_0 \text{ in } D^0 \to \pi^- \ell^+ \nu_\ell = -1.97 \pm 0.28 \quad (S=1.4) $$

$$ r_2 \equiv a_1/a_0 \text{ in } D^0 \to \pi^- \ell^+ \nu_\ell = -0.2 \pm 0.2 \quad (S=1.7) $$

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

<table><thead><tr><th>D<sup>0</sup> DECAY MODES</th><th>Fraction (Γ<sub>f</sub>/Γ)</th><th>Scale factor/ ρ</th><th>Confidence leve(MeV/c)</th></tr></thead><tbody><tr><td colspan="4"><strong>Topological modes</strong></td></tr><tr><td>0-prongs</td><td>[π] (15 ± 6 ) %</td><td>-</td><td>-</td></tr><tr><td>2-prongs</td><td>(71 ± 6 ) %</td><td>-</td><td>-</td></tr><tr><td>4-prongs</td><td>[ss] (14.6 ± 0.5 ) %</td><td>-</td><td>-</td></tr><tr><td>6-prongs</td><td>[tt] (6.5 ± 1.3 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td colspan="4"><strong>Inclusive modes</strong></td></tr><tr><td>e<sup>+</sup> anything</td><td>[uv] (6.49 ± 0.11 ) %</td><td>-</td><td>-</td></tr><tr><td>μ<sup>+</sup> anything</td><td>(6.8 ± 0.6 ) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>-</sup> anything</td><td>(54.7 ± 2.8 ) %</td><td>S=1.3</td><td>-</td></tr><tr><td>K<sub>S</sub><sup>0</sup> anything</td><td>(20.75 ± 0.23 ) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>+</sup> anything</td><td>(3.4 ± 0.4 ) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>-</sup> anything</td><td>(15 ± 9 ) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> anything</td><td>(9 ± 4 ) %</td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>+</sup> anything</td><td>&lt; 3.6 %</td><td>CL=90%</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> anything</td><td>(2.8 ± 1.3 ) %</td><td>-</td><td>-</td></tr><tr><td>η anything</td><td>(9.5 ± 0.9 ) %</td><td>-</td><td>-</td></tr><tr><td>η' anything</td><td>(2.48 ± 0.27 ) %</td><td>-</td><td>-</td></tr><tr><td>φ anything</td><td>(1.08 ± 0.04 ) %</td><td>-</td><td>-</td></tr><tr><td>π<sup>+</sup> π<sup>+</sup> π<sup>-</sup> anything</td><td>(17.60 ± 0.25 ) %</td><td>-</td><td>-</td></tr><tr><td>invisibles</td><td>&lt; 9.4 × 10<sup>-5</sup></td><td>CL=90%</td><td>-</td></tr><tr><td colspan="4"><strong>Semileptonic modes</strong></td></tr><tr><td>K<sup>-</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(3.549 ± 0.026 ) %</td><td>S=1.2</td><td>867</td></tr><tr><td>K<sup>-</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>(3.41 ± 0.04 ) %</td><td>-</td><td>864</td></tr><tr><td>K<sup>*</sup>(892)<sup>-</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(2.15 ± 0.16 ) %</td><td>-</td><td>719</td></tr><tr><td>K<sup>*</sup>(892)<sup>-</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>(1.89 ± 0.24 ) %</td><td>-</td><td>714</td></tr><tr><td>K<sup>-</sup> π<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(1.6 ± 1.3 ) %</td><td>-</td><td>861</td></tr><tr><td>K<sup>0</sup> π<sup>-</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(1.44 ± 0.04 ) %</td><td>-</td><td>860</td></tr><tr><td>(K<sup>0</sup> π<sup>-</sup>)<sub>S-wave</sub> e<sup>+</sup> ν<sub>e</sub></td><td>(7.9 ± 1.7 ) × 10<sup>-4</sup></td><td>-</td><td>860</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> π<sup>-</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(2.8 ± 1.4 ) × 10<sup>-4</sup></td><td>-</td><td>843</td></tr><tr><td>K<sub>1</sub>(1270)<sup>-</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(1.01 ± 0.18 ) × 10<sup>-3</sup></td><td>-</td><td>511</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> π<sup>-</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>&lt; 1.3 × 10<sup>-3</sup></td><td>CL=90%</td><td>821</td></tr><tr><td>(K<sup>0</sup>(892)π)<sup>-</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>&lt; 1.5 × 10<sup>-3</sup></td><td>CL=90%</td><td>692</td></tr></tbody></table>

<table><tbody><tr><td>π<sup>-</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(2.91 ± 0.04 ) × 10<sup>-3</sup></td><td>927</td></tr><tr><td>π<sup>-</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>(2.67 ± 0.12 ) × 10<sup>-3</sup></td><td>S=1.3</td><td>924</td></tr><tr><td>π<sup>-</sup> π<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(1.45 ± 0.07 ) × 10<sup>-3</sup></td><td>922</td></tr><tr><td>ρ<sup>-</sup> e<sup>+</sup> ν<sub>e</sub></td><td>(1.50 ± 0.12 ) × 10<sup>-3</sup></td><td>S=1.9</td><td>771</td></tr><tr><td>ρ<sup>-</sup> μ<sup>+</sup> ν<sub>μ</sub></td><td>(1.35 ± 0.13 ) × 10<sup>-3</sup></td><td>767</td></tr><tr><td>a(980)<sup>-</sup> e<sup>+</sup> ν<sub>e</sub>, a<sup>-</sup> → ηπ<sup>-</sup></td><td>(1.33 <sup>+ 0.34</sup><sub>- 0.30</sub>) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>b<sub>1</sub>(1235)<sup>-</sup> e<sup>+</sup> ν<sub>e</sub>, b<sub>1</sub><sup>-</sup> → ωπ<sup>-</sup></td><td>&lt; 1.12 × 10<sup>-4</sup></td><td>CL=90%</td><td>-</td></tr></tbody></table>

Hadronic modes with one K

<table><tbody><tr><td>K<sup>-</sup> π<sup>+</sup></td><td>(3.947 ± 0.030 ) %</td><td>S=1.2</td><td>861</td></tr><tr><td>K<sub>S</sub><sup>0</sup> π<sup>0</sup></td><td>(1.240 ± 0.022 ) %</td><td>-</td><td>860</td></tr><tr><td>K<sup>0</sup> π<sup>0</sup></td><td>(9.76 ± 0.32 ) × 10<sup>-3</sup></td><td>-</td><td>860</td></tr><tr><td>K<sub>L</sub><sup>0</sup> η</td><td>(4.34 ± 0.16 ) × 10<sup>-3</sup></td><td>-</td><td>772</td></tr><tr><td>K<sub>L</sub><sup>0</sup> η'</td><td>(8.12 ± 0.35 ) × 10<sup>-3</sup></td><td>S=1.3</td><td>565</td></tr><tr><td>K<sup>0</sup> ω</td><td>(1.16 ± 0.04 ) %</td><td>-</td><td>670</td></tr><tr><td>K<sub>S</sub><sup>0</sup> π<sup>+</sup> π<sup>-</sup></td><td>[ij] (2.80 ± 0.18 ) %</td><td>S=1.1</td><td>842</td></tr><tr><td>K<sub>S</sub><sup>0</sup> ρ<sup>0</sup></td><td>(6.3 <sup>+ 0.6</sup><sub>- 0.8</sub>) × 10<sup>-3</sup></td><td>-</td><td>674</td></tr><tr><td>K<sup>0</sup><sub>S</sub> ω, ω → π<sup>+</sup> π<sup>-</sup></td><td>(2.0 ± 0.6 ) × 10<sup>-4</sup></td><td>-</td><td>670</td></tr><tr><td>K<sub>S</sub><sup>0</sup> (π<sup>+</sup> π<sup>-</sup>)<sub>S-wave</sub></td><td>(3.3 ± 0.8 ) × 10<sup>-3</sup></td><td>-</td><td>842</td></tr><tr><td>K<sub>S</sub><sup>0</sup> f<sub>0</sub>(980), f<sub>0</sub> → π<sup>+</sup> π<sup>-</sup></td><td>(1.20 <sup>+ 0.40</sup><sub>- 0.23</sub>) × 10<sup>-3</sup></td><td>-</td><td>549</td></tr><tr><td>K<sub>S</sub><sup>0</sup> f<sub>0</sub>(1370), f<sub>0</sub> → π<sup>+</sup> π<sup>-</sup></td><td>(2.8 <sup>+ 0.9</sup><sub>- 1.3</sub>) × 10<sup>-3</sup></td><td>-</td><td>†</td></tr><tr><td>K<sub>S</sub><sup>0</sup> f<sub>2</sub>(1270), f<sub>2</sub> → π<sup>+</sup> π<sup>-</sup></td><td>(9 <sup>+10</sup><sub>- 6</sub>) × 10<sup>-5</sup></td><td>-</td><td>262</td></tr><tr><td>K<sup>*</sup>(892)<sup>-</sup> π<sup>+</sup>, K<sup>*</sup><sup>-</sup> → K<sub>S</sub><sup>0</sup> π<sup>+</sup></td><td>(1.64 <sup>+ 0.14</sup><sub>- 0.17</sub>) %</td><td>-</td><td>711</td></tr><tr><td>K<sub>S</sub><sup>0</sup>(1430)<sup>-</sup> π<sup>+</sup>, K<sub>S</sub><sup>*</sup><sup>-</sup> → K<sub>S</sub><sup>0</sup> π<sup>+</sup></td><td>(2.67 <sup>+ 0.40</sup><sub>- 0.32</sub>) × 10<sup>-3</sup></td><td>-</td><td>378</td></tr><tr><td>K<sub>S</sub><sup>2</sup>(1430)<sup>-</sup> π<sup>+</sup>, K<sub>S</sub><sup>*</sup><sup>-</sup> → K<sub>S</sub><sup>0</sup> π<sup>+</sup></td><td>(3.4 <sup>+ 1.9</sup><sub>- 1.0</sub>) × 10<sup>-4</sup></td><td>-</td><td>367</td></tr><tr><td>K<sup>*</sup>(1680)<sup>-</sup> π<sup>+</sup>, K<sup>*</sup><sup>-</sup> → K<sub>S</sub><sup>0</sup> π<sup>+</sup></td><td>(4.4 ± 3.5 ) × 10<sup>-4</sup></td><td>-</td><td>46</td></tr><tr><td>K<sup>*</sup>(892)<sup>+</sup> π<sup>+</sup>, K<sup>*</sup><sup>+</sup> → K<sub>S</sub><sup>0</sup> π<sup>+</sup></td><td>[vv] (1.13 <sup>+ 0.60</sup><sub>- 0.34</sub>) × 10<sup>-4</sup></td><td>-</td><td>711</td></tr><tr><td>K<sub>S</sub><sup>0</sup>(1430)<sup>+</sup> π<sup>-</sup>, K<sub>S</sub><sup>*</sup><sup>+</sup> → K<sub>S</sub><sup>0</sup> π<sup>+</sup></td><td>[vv] < 1.4 × 10<sup>-5</sup></td><td>CL=95%</td><td>-</td></tr><tr><td>K<sub>S</sub><sup>*</sup>(1430)<sup>+</sup> π<sup>+</sup>, K<sub>S</sub><sup>*</sup><sup>+</sup> → K<sub>S</sub><sup>0</sup> π<sup>+</sup></td><td>[vv] < 3.4 × 10<sup>-5</sup></td><td>CL=95%</td><td>-</td></tr><tr><td>K<sub>S</sub><sup>0</sup> π<sup>+</sup> π<sup>-</sup> nonresonant</td><td>(2.5 <sup>+ 6.0</sup><sub>- 1.6</sub>) × 10<sup>-4</sup></td><td>-</td><td>842</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> π<sup>0</sup></td><td>[ij] (14.4 ± 0.6 ) %</td><td>S=2.2</td><td>844</td></tr><tr><td>K<sup>-</sup> ρ<sup>0</sup></td><td>(11.2 ± 0.7 ) %</td><td>-</td><td>675</td></tr><tr><td>K<sup>-</sup> ρ(1700)<sup>+</sup>, ρ<sup>+</sup> → π<sup>+</sup> π<sup>0</sup></td><td>(8.2 ± 1.8 ) × 10<sup>-3</sup></td><td>-</td><td>†</td></tr><tr><td>K<sup>*</sup>(892)<sup>-</sup> π<sup>+</sup>, K<sup>*</sup>(892)<sup>-</sup> → K<sup>-</sup> π<sup>0</sup></td><td>(2.31 <sup>+ 0.40</sup><sub>- 0.20</sub>) %</td><td>-</td><td>711</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> π<sup>0</sup>, K<sup>*</sup>(892)<sup>0</sup> → K<sup>-</sup> π<sup>0</sup></td><td>(1.95 ± 0.25 ) %</td><td>-</td><td>711</td></tr><tr><td>K<sub>S</sub><sup>0</sup>(1430)<sup>-</sup> π<sup>+</sup>, K<sub>S</sub><sup>*</sup><sup>-</sup> → K<sup>-</sup> π<sup>0</sup></td><td>(4.8 ± 2.2 ) × 10<sup>-3</sup></td><td>-</td><td>378</td></tr><tr><td>K<sub>S</sub><sup>0</sup>(1430)<sup>0</sup> π<sup>0</sup>, K<sub>S</sub><sup>0</sup> → K<sub>S</sub><sup>0</sup>(1430)<sup>0</sup> π<sup>0</sup></td><td>(5.9 <sup>+ 5.0</sup><sub>- 1.6</sub>) × 10<sup>-3</sup></td><td>-</td><td>379</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup>, K<sup>*</sup><sup>-</sup> → K<sup>-</sup> π<sup>0</sup></td><td>(1.9 ± 0.7 ) × 10<sup>-3</sup></td><td>-</td><td>46</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> π<sup>0</sup> nonresonant</td><td>(1.15 <sup>+ 0.60</sup><sub>- 0.20</sub>) %</td><td>-</td><td>844</td></tr><tr><td>K<sup>0</sup> 2π<sup>0</sup></td><td>(9.1 ± 1.1 ) × 10<sup>-3</sup></td><td>S=2.2</td><td>843</td></tr><tr><td>K<sub>L</sub><sup>0</sup> π<sup>0</sup> π<sup>0</sup></td><td>(1.26 ± 0.06 ) %</td><td>-</td><td>843</td></tr><tr><td>K<sub>S</sub><sup>0</sup> (2π<sup>0</sup>)<sub>S-wave</sub></td><td>(2.6 ± 0.7 ) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> π<sup>0</sup>, K<sup>*</sup>(892)<sup>0</sup> → K<sub>S</sub><sup>0</sup> π<sup>0</sup></td><td>(8.1 ± 0.7 ) × 10<sup>-3</sup></td><td>-</td><td>711</td></tr><tr><td>K<sup>*</sup>(1430)<sup>0</sup> π<sup>0</sup>, K<sup>*</sup>(1430)<sup>0</sup> → K<sub>S</sub><sup>0</sup> π<sup>0</sup></td><td>(4 ± 23 ) × 10<sup>-5</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>*</sup>(1680)<sup>0</sup> π<sup>0</sup>, K<sup>*</sup>(1680)<sup>0</sup> → K<sup>0</sup> π<sup>0</sup></td><td>(1.0 ± 0.4 ) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>K<sub>S</sub><sup>0</sup> f<sub>2</sub>(1270), f<sub>2</sub> → 2π<sup>0</sup></td><td>(2.3 ± 1.1 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>2K<sub>S</sub><sup>0</sup>, one K<sub>S</sub><sup>0</sup> → 2π<sup>0</sup></td><td>(3.2 ± 1.1 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>K<sup>0</sup> 3π<sup>0</sup></td><td>(7.6 ± 0.4 ) × 10<sup>-3</sup></td><td>-</td><td>815</td></tr><tr><td>K<sup>-</sup> 2π<sup>+</sup> π<sup>-</sup></td><td>[ij] (8.22 ± 0.14 ) %</td><td>-</td><td>813</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> ρ<sup>0</sup> total</td><td>(6.87 ± 0.31 ) %</td><td>-</td><td>609</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup> ρ<sup>0</sup> 3-body</td><td>(6.1 ± 1.6 ) × 10<sup>-3</sup></td><td>-</td><td>609</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup> ρ<sup>0</sup>, K<sup>*</sup>(892)<sup>0</sup> → K<sup>-</sup> π<sup>0</sup></td><td>(1.01 ± 0.05 ) %</td><td>-</td><td>416</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup></td><td>(1.2 ± 0.4 ) %</td><td>-</td><td>417</td></tr></tbody></table>
Meson Summary Table

<table><tbody><tr><td>K<sup>-</sup> a<sub>1</sub>(1260)<sup>+</sup>, a<sub>1</sub><sup>+</sup> →</td><td>( 4.32 ± 0.32 ) %</td><td>327</td></tr><tr><td>ρ<sup>0</sup>π<sup>+</sup></td><td></td><td></td></tr><tr><td>K<sub>1</sub>(1270)<sup>-</sup>π<sup>+</sup>, K<sub>1</sub><sup>-</sup> →</td><td>( 3.9 ± 0.4 ) × 10<sup>-3</sup></td><td>-</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>π<sup>-</sup>total</td><td></td><td></td></tr><tr><td>K<sub>1</sub>(1270)<sup>-</sup>π<sup>+</sup>, K<sub>1</sub><sup>-</sup> →</td><td>( 6.6 ± 2.3 ) × 10<sup>-4</sup></td><td>484</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup>π<sup>-</sup>, K<sup>*</sup>0 →</td><td></td><td></td></tr><tr><td>K<sup>-</sup>π<sup>+</sup></td><td></td><td></td></tr><tr><td>K<sup>-</sup>2π<sup>+</sup>π<sup>-</sup>nonresonant</td><td>( 1.81 ± 0.07 ) %</td><td>813</td></tr><tr><td>K<sup>0</sup><sub>S</sub>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>( 5.2 ± 0.6 ) %</td><td>813</td></tr><tr><td>[xx]</td><td></td><td></td></tr><tr><td>K<sup>0</sup><sub>S</sub>η, η → π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>( 1.17 ± 0.03 ) × 10<sup>-3</sup></td><td>772</td></tr><tr><td>K<sup>0</sup><sub>S</sub>ω, ω → π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>( 9.9 ± 0.6 ) × 10<sup>-3</sup></td><td>670</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>2π<sup>0</sup></td><td>( 8.86 ± 0.23 ) %</td><td>815</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>3π<sup>0</sup></td><td>( 9.5 ± 0.4 ) × 10<sup>-3</sup></td><td>774</td></tr><tr><td>K<sup>0</sup><sub>S</sub>π<sup>+</sup>π<sup>-</sup>2π<sup>0</sup></td><td>( 1.27 ± 0.06 ) %</td><td>773</td></tr><tr><td>K<sup>-</sup>2π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>( 4.3 ± 0.4 ) %</td><td>771</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup>, K<sup>*</sup>0 →</td><td>( 1.3 ± 0.6 ) %</td><td>643</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup></td><td></td><td></td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup>ω, K<sup>*</sup>0 →</td><td>( 6.5 ± 3.0 ) × 10<sup>-3</sup></td><td>410</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>, ω → π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td></td><td></td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>ω</td><td>( 3.39 ± 0.10 ) %</td><td>605</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup>ω</td><td>( 1.1 ± 0.5 ) %</td><td>410</td></tr><tr><td>K<sup>0</sup><sub>S</sub>π<sup>0</sup>ω</td><td>( 8.5 ± 0.6 ) × 10<sup>-3</sup></td><td>605</td></tr><tr><td>K<sup>0</sup><sub>S</sub>η<sup>0</sup></td><td>( 1.01 ± 0.05 ) %</td><td>721</td></tr><tr><td>K<sup>0</sup><sub>S</sub>a<sub>0</sub>(980), a<sub>0</sub> → ηπ<sup>0</sup></td><td>( 1.20 ± 0.28 ) %</td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup>η, K<sup>*</sup>0 → K<sup>0</sup><sub>S</sub>π<sup>0</sup></td><td>( 2.9 ± 0.7 ) × 10<sup>-3</sup></td><td>-</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>η</td><td>( 1.88 ± 0.05 ) %</td><td>S=1.4</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup>η, K<sup>*</sup>0 → K<sup>-</sup>π<sup>+</sup></td><td>( 8.9 <sup>+ 0.8</sup><sub>- 0.6</sub> ) × 10<sup>-3</sup></td><td>-</td></tr><tr><td>a<sub>0</sub>(980)<sup>+</sup> K<sup>-</sup>, a<sub>0</sub><sup>+</sup> → ηπ<sup>+</sup></td><td>( 7.4 <sup>+ 0.9</sup><sub>- 0.7</sub> ) × 10<sup>-3</sup></td><td>-</td></tr><tr><td>K<sup>2</sup><sub>S</sub>(1980)<sup>-</sup>π<sup>+</sup>, K<sup>2</sup><sub>S</sub><sup>-</sup> →</td><td>( 2.2 <sup>+ 1.7</sup><sub>- 1.9</sub> ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>η</td><td></td><td></td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>π<sup>0</sup>η</td><td>( 4.49 ± 0.27 ) × 10<sup>-3</sup></td><td>656</td></tr><tr><td>K<sup>0</sup><sub>S</sub>π<sup>+</sup>π<sup>-</sup>η</td><td>( 2.80 ± 0.21 ) × 10<sup>-3</sup></td><td>651</td></tr><tr><td>K<sup>0</sup><sub>S</sub>2π<sup>0</sup>η</td><td>( 1.76 ± 0.26 ) × 10<sup>-3</sup></td><td>656</td></tr><tr><td>K<sup>0</sup><sub>S</sub>2π<sup>+</sup>2π<sup>-</sup></td><td>( 2.66 ± 0.30 ) × 10<sup>-3</sup></td><td>768</td></tr><tr><td>K<sup>0</sup><sub>S</sub>ρ<sup>0</sup>π<sup>+</sup>π<sup>-</sup>, no K<sup>*</sup>(892)<sup>-</sup></td><td>( 1.1 ± 0.7 ) × 10<sup>-3</sup></td><td>-</td></tr><tr><td>K<sup>*</sup>(892)<sup>-</sup>2π<sup>+</sup>π<sup>-</sup>,</td><td>( 5 ± 7 ) × 10<sup>-4</sup></td><td>642</td></tr><tr><td>K<sup>*</sup>(892)<sup>-</sup> → K<sup>0</sup><sub>S</sub>π<sup>-</sup>, no ρ<sup>0</sup></td><td></td><td></td></tr><tr><td>K<sup>*</sup>(892)<sup>-</sup>ρ<sup>0</sup>π<sup>+</sup>,</td><td>( 1.6 ± 0.6 ) × 10<sup>-3</sup></td><td>230</td></tr><tr><td>K<sup>*</sup>(892)<sup>-</sup> → K<sup>0</sup><sub>S</sub>π<sup>-</sup></td><td></td><td></td></tr><tr><td>K<sup>0</sup><sub>S</sub>2π<sup>+</sup>2π<sup>-</sup> nonresonant</td><td>< 1.2 × 10<sup>-3</sup></td><td>CL=90%</td></tr><tr><td>K<sup>-</sup>3π<sup>+</sup>2π<sup>-</sup></td><td>( 2.2 ± 0.6 ) × 10<sup>-4</sup></td><td>713</td></tr></tbody></table>

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

<table><tbody><tr><td>K<sup>0</sup><sub>S</sub>η</td><td>( 5.09 ± 0.13 ) × 10<sup>-3</sup></td><td>772</td></tr><tr><td>K<sup>0</sup><sub>S</sub>ω</td><td>( 1.11 ± 0.06 ) %</td><td>670</td></tr><tr><td>K<sup>0</sup><sub>S</sub>η'(958)</td><td>( 9.49 ± 0.32 ) × 10<sup>-3</sup></td><td>565</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>( 1.9 ± 0.9 ) %</td><td>643</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup>η</td><td>( 1.41 ± 0.12 ) %</td><td>583</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>η'(958)</td><td>( 6.43 ± 0.34 ) × 10<sup>-3</sup></td><td>479</td></tr><tr><td>K<sup>0</sup><sub>S</sub>η'(958)π<sup>0</sup></td><td>( 2.52 ± 0.27 ) × 10<sup>-3</sup></td><td>479</td></tr><tr><td>K<sup>*</sup>(892)<sup>0</sup>η'(958)</td><td>< 1.0 × 10<sup>-3</sup></td><td>CL=90%</td></tr></tbody></table>

Hadronic modes with three K's

<table><tbody><tr><td>K<sup>0</sup><sub>S</sub>K<sup>+</sup>K<sup>-</sup></td><td>( 4.42 ± 0.32 ) × 10<sup>-3</sup></td><td>544</td></tr><tr><td>K<sup>0</sup><sub>S</sub>a<sub>0</sub>(980)<sup>0</sup>, a<sub>0</sub><sup>+</sup> → K<sup>+</sup>K<sup>-</sup></td><td>( 2.9 ± 0.4 ) × 10<sup>-3</sup></td><td>-</td></tr><tr><td>K<sup>-</sup>a<sub>0</sub>(980)<sup>+</sup>, a<sub>0</sub><sup>+</sup> →</td><td>( 5.9 ± 1.8 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>K<sup>+</sup>K<sup>0</sup><sub>S</sub></td><td></td><td></td></tr><tr><td>K<sup>+</sup>a<sub>0</sub>(980)<sup>-</sup>, a<sub>0</sub><sup>-</sup> →</td><td>< 1.1 × 10<sup>-4</sup></td><td>CL=95%</td></tr><tr><td>K<sup>-</sup>K<sup>0</sup><sub>S</sub></td><td></td><td></td></tr><tr><td>K<sup>0</sup><sub>S</sub>f<sub>0</sub>(980), f<sub>0</sub> → K<sup>+</sup>K<sup>-</sup></td><td>< 9 × 10<sup>-5</sup></td><td>CL=95%</td></tr><tr><td>K<sup>0</sup><sub>S</sub>φ, φ → K<sup>+</sup>K<sup>-</sup></td><td>( 2.03 ± 0.15 ) × 10<sup>-3</sup></td><td>520</td></tr><tr><td>K<sup>0</sup><sub>S</sub>φ</td><td>( 4.14 ± 0.23 ) × 10<sup>-3</sup></td><td>521</td></tr><tr><td>K<sup>0</sup><sub>S</sub>f<sub>0</sub>(1370), f<sub>0</sub> → K<sup>+</sup>K<sup>-</sup></td><td>( 1.7 ± 1.1 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>3K<sup>0</sup><sub>S</sub></td><td>( 7.5 ± 0.7 ) × 10<sup>-4</sup></td><td>S=1.4</td></tr><tr><td>K<sup>+</sup>2K<sup>-</sup>π<sup>+</sup></td><td>( 2.25 ± 0.32 ) × 10<sup>-4</sup></td><td>434</td></tr><tr><td>K<sup>+</sup>K<sup>-</sup>K<sup>*</sup>(892)<sup>0</sup>, K<sup>*</sup>0 →</td><td>( 4.5 ± 1.8 ) × 10<sup>-5</sup></td><td>†</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>φ, φ → K<sup>+</sup>K<sup>-</sup></td><td>( 4.0 ± 1.7 ) × 10<sup>-5</sup></td><td>422</td></tr><tr><td>φK<sup>*</sup>(892)<sup>0</sup>, φ → K<sup>+</sup>K<sup>-</sup>, K<sup>0</sup><sub>S</sub> → K<sup>-</sup>π<sup>+</sup></td><td>( 1.08 ± 0.21 ) × 10<sup>-4</sup></td><td>†</td></tr><tr><td>K<sup>+</sup>2K<sup>-</sup>π<sup>+</sup>nonresonant</td><td>( 3.4 ± 1.5 ) × 10<sup>-5</sup></td><td>434</td></tr><tr><td>2K<sup>0</sup><sub>S</sub>K<sup>±</sup>π<sup>+</sup></td><td>( 5.9 ± 1.3 ) × 10<sup>-4</sup></td><td>427</td></tr></tbody></table>

Pionic modes

<table><tbody><tr><td>π<sup>+</sup>π<sup>-</sup></td><td>( 1.454 ± 0.024 ) × 10<sup>-3</sup></td><td>S=1.4</td><td>922</td></tr><tr><td>2π<sup>0</sup></td><td>( 8.26 ± 0.25 ) × 10<sup>-4</sup></td><td></td><td>923</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>( 1.49 ± 0.07 ) %</td><td>S=2.3</td><td>907</td></tr><tr><td>ρ<sup>+</sup>π<sup>-</sup></td><td>( 1.01 ± 0.05 ) %</td><td></td><td>764</td></tr><tr><td>ρ<sup>0</sup>π<sup>0</sup></td><td>( 3.86 ± 0.24 ) × 10<sup>-3</sup></td><td></td><td>764</td></tr><tr><td>ρ<sup>-</sup>π<sup>+</sup></td><td>( 5.15 ± 0.26 ) × 10<sup>-3</sup></td><td></td><td>764</td></tr><tr><td>ρ(1450)<sup>+</sup>π<sup>-</sup>, ρ<sup>+</sup> → π<sup>+</sup>π<sup>0</sup></td><td>( 1.6 ± 2.1 ) × 10<sup>-5</sup></td><td>-</td><td>-</td></tr><tr><td>ρ(1450)<sup>0</sup>π<sup>0</sup>, ρ<sup>0</sup> → π<sup>+</sup>π<sup>-</sup></td><td>( 4.5 ± 2.0 ) × 10<sup>-5</sup></td><td>-</td><td>-</td></tr><tr><td>ρ(1450)<sup>-</sup>π<sup>+</sup>, π<sup>-</sup> → π<sup>-</sup>π<sup>0</sup></td><td>( 2.7 ± 0.4 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>ρ(1700)<sup>+</sup>π<sup>-</sup>, ρ<sup>+</sup> → π<sup>+</sup>π<sup>0</sup></td><td>( 6.1 ± 1.5 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>ρ(1700)<sup>0</sup>π<sup>0</sup>, ρ<sup>0</sup> → π<sup>+</sup>π<sup>-</sup></td><td>( 7.4 ± 1.8 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>ρ(1700)<sup>-</sup>π<sup>+</sup>, π<sup>-</sup> → π<sup>-</sup>π<sup>0</sup></td><td>( 4.8 ± 1.1 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>f<sub>0</sub>(980)π<sup>0</sup>, f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td><td>( 3.7 ± 0.9 ) × 10<sup>-5</sup></td><td>-</td><td>-</td></tr><tr><td>f<sub>0</sub>(500)π<sup>0</sup>, f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td><td>( 1.22 ± 0.22 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>f<sub>0</sub>(1370)π<sup>0</sup>, f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td><td>( 5.5 ± 2.1 ) × 10<sup>-5</sup></td><td>-</td><td>-</td></tr><tr><td>f<sub>0</sub>(1500)π<sup>0</sup>, f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td><td>( 5.8 ± 1.6 ) × 10<sup>-5</sup></td><td>-</td><td>-</td></tr><tr><td>f<sub>0</sub>(1710)π<sup>0</sup>, f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td><td>( 4.6 ± 1.6 ) × 10<sup>-5</sup></td><td>-</td><td>-</td></tr><tr><td>f<sub>2</sub>(1270)π<sup>0</sup>, f<sub>2</sub> → π<sup>+</sup>π<sup>-</sup></td><td>( 1.97 ± 0.21 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup>nonresonant</td><td>( 1.3 ± 0.4 ) × 10<sup>-4</sup></td><td></td><td>907</td></tr><tr><td>3π<sup>0</sup></td><td>( 2.0 ± 0.5 ) × 10<sup>-4</sup></td><td></td><td>908</td></tr><tr><td>2π<sup>+</sup>2π<sup>-</sup></td><td>( 7.56 ± 0.20 ) × 10<sup>-3</sup></td><td></td><td>880</td></tr><tr><td>a<sub>1</sub>(1260)<sup>+</sup>π<sup>-</sup>, a<sub>1</sub><sup>+</sup> →</td><td>( 4.53 ± 0.31 ) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>2π<sup>+</sup>π<sup>-</sup>total</td><td></td><td></td><td></td></tr><tr><td>a<sub>1</sub>(1260)<sup>+</sup>π<sup>-</sup>, a<sub>1</sub><sup>+</sup> →</td><td>( 3.13 ± 0.21 ) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>ρ<sup>0</sup>π<sup>+</sup>S-wave</td><td></td><td></td><td></td></tr><tr><td>a<sub>1</sub>(1260)<sup>+</sup>π<sup>-</sup>, a<sub>1</sub><sup>+</sup> →</td><td>( 1.9 ± 0.5 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>ρ<sup>0</sup>π<sup>+</sup>D-wave</td><td></td><td></td><td></td></tr><tr><td>a<sub>1</sub>(1260)<sup>+</sup>π<sup>-</sup>, a<sub>1</sub><sup>+</sup> →</td><td>( 6.4 ± 0.7 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>σπ<sup>+</sup></td><td></td><td></td><td></td></tr><tr><td>a<sub>1</sub>(1260)<sup>-</sup>π<sup>+</sup>, a<sub>1</sub><sup>-</sup> →</td><td>( 2.3 ± 0.9 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>ρ<sup>0</sup>π<sup>-</sup>S-wave</td><td></td><td></td><td></td></tr><tr><td>a<sub>1</sub>(1260)<sup>-</sup>π<sup>+</sup>, a<sub>1</sub><sup>-</sup> → σπ<sup>-</sup></td><td>( 6.0 ± 3.4 ) × 10<sup>-5</sup></td><td>-</td><td>-</td></tr><tr><td>π(1300)<sup>+</sup>π<sup>-</sup>, π(1300)<sup>+</sup> →</td><td>( 5.1 ± 2.7 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>σπ<sup>+</sup></td><td></td><td></td><td></td></tr><tr><td>π(1300)<sup>-</sup>π<sup>+</sup>, π(1300)<sup>-</sup> →</td><td>( 2.3 ± 2.2 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>σπ<sup>-</sup></td><td></td><td></td><td></td></tr><tr><td>a<sub>1</sub>(1640)<sup>+</sup>π<sup>-</sup>, a<sub>1</sub><sup>+</sup> →</td><td>( 3.2 ± 1.6 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>ρ<sup>0</sup>π<sup>+</sup>D-wave</td><td></td><td></td><td></td></tr><tr><td>a<sub>1</sub>(1640)<sup>+</sup>π<sup>-</sup>, a<sub>1</sub><sup>+</sup> → σπ<sup>+</sup></td><td>( 1.8 ± 1.4 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>π<sub>2</sub>(1670)<sup>+</sup>π<sup>-</sup>, π<sub>2</sub><sup>+</sup> →</td><td>( 2.0 ± 0.9 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>f<sub>2</sub>(1270)<sup>0</sup>π<sup>+</sup>, f<sub>2</sub><sup>0</sup> →</td><td></td><td></td><td></td></tr><tr><td>π<sup>+</sup>π<sup>-</sup></td><td>( 2.6 ± 1.0 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>2ρ<sup>0</sup>total</td><td>( 1.85 ± 0.13 ) × 10<sup>-3</sup></td><td></td><td>518</td></tr><tr><td>2ρ<sup>0</sup>, parallel helicities</td><td>( 8.3 ± 3.2 ) × 10<sup>-5</sup></td><td>-</td><td>-</td></tr><tr><td>2ρ<sup>0</sup>, perpendicular helicities</td><td>( 4.8 ± 0.6 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>2ρ<sup>0</sup>, longitudinal helicities</td><td>( 1.27 ± 0.10 ) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>2ρ(770)<sup>0</sup>, S-wave</td><td>( 1.8 ± 1.3 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>2ρ(770)<sup>0</sup>, P-wave</td><td>( 5.3 ± 1.3 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>2ρ(770)<sup>0</sup>, D-wave</td><td>( 6.2 ± 3.0 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>Resonant (π<sup>+</sup>π<sup>-</sup>)π<sup>+</sup>π<sup>-</sup></td><td>( 1.51 ± 0.12 ) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>3-body total</td><td></td><td></td><td></td></tr><tr><td>σπ<sup>+</sup>π<sup>-</sup></td><td>( 6.2 ± 0.9 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>σρ(770)<sup>0</sup></td><td>( 5.0 ± 2.5 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>f<sub>0</sub>(980)π<sup>+</sup>π<sup>-</sup>, f<sub>0</sub> →</td><td>( 1.8 ± 0.5 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup></td><td></td><td></td><td></td></tr><tr><td>f<sub>2</sub>(1270)π<sup>+</sup>π<sup>-</sup>, f<sub>2</sub> →</td><td>( 3.7 ± 0.6 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup></td><td></td><td></td><td></td></tr><tr><td>f<sub>2</sub>(1270)<sup>0</sup>, f<sub>2</sub> → π<sup>+</sup>π<sup>-</sup></td><td>( 1.6 ± 1.8 ) × 10<sup>-4</sup></td><td>-</td><td>-</td></tr><tr><td>f<sub>0</sub>(1370)σ, f<sub>0</sub> →</td><td>( 1.6 ± 0.5 ) × 10<sup>-3</sup></td><td>-</td><td>-</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup>2π<sup>0</sup>π<sup>+</sup>π<sup>-</sup></td><td>( 1.002 ± 0.031 ) %</td><td></td><td>882</td></tr><tr><td>4π<sup>0</sup></td><td>( 7.6 ± 1.1 ) × 10<sup>-4</sup></td><td></td><td>883</td></tr><tr><td>ηπ<sup>0</sup></td><td>( 6.3 ± 0.6 ) × 10<sup>-4</sup></td><td>CL=90%</td><td>846</td></tr><tr><td>ωπ<sup>0</sup></td><td>( 1.17 ± 0.35 ) × 10<sup>-4</sup></td><td></td><td>761</td></tr><tr><td>ωη</td><td>( 1.98 ± 0.18 ) × 10<sup>-3</sup></td><td>S=1.1</td><td>648</td></tr><tr><td>2π<sup>+</sup>2π<sup>-</sup>π<sup>0</sup></td><td>( 3.46 ± 0.21 ) × 10<sup>-3</sup></td><td></td><td>844</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup>3π<sup>0</sup></td><td>( 1.53 ± 0.21 ) × 10<sup>-3</sup></td><td></td><td>847</td></tr><tr><td>2π<sup>+</sup>2π<sup>-</sup>2π<sup>0</sup></td><td>( 4.8 ± 0.4 ) × 10<sup>-3</sup></td><td></td><td>796</td></tr><tr><td>ηπ<sup>+</sup>π<sup>-</sup></td><td>( 1.16 ± 0.07 ) × 10<sup>-3</sup></td><td>CL=90%</td><td>827</td></tr><tr><td>ωπ<sup>+</sup>π<sup>-</sup></td><td>( 1.33 ± 0.20 ) × 10<sup>-3</sup></td><td></td><td>738</td></tr><tr><td>ωπ<sup>0</sup>π<sup>0</sup></td><td>< 1.10 × 10<sup>-3</sup></td><td></td><td>740</td></tr><tr><td>η2π<sup>0</sup></td><td>( 3.8 ± 1.3 ) × 10<sup>-4</sup></td><td></td><td>829</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup>η</td><td>( 3.23 ± 0.22 ) × 10<sup>-3</sup></td><td></td><td>797</td></tr><tr><td>η3π<sup>0</sup></td><td>( 2.36 ± 0.28 ) × 10<sup>-3</sup></td><td></td><td>799</td></tr><tr><td>η2π<sup>+</sup>2π<sup>-</sup></td><td>( 6.0 ± 1.2 ) × 10<sup>-4</sup></td><td></td><td>751</td></tr></tbody></table>
Meson Summary Table

<table><tbody><tr><td>φe<sup>+</sup>e<sup>-</sup></td><td>C1</td><td>&lt; 5.2</td><td>× 10<sup>-5</sup></td><td>CL=90%</td><td>654</td></tr><tr><td>K<sup>-</sup>K<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>C1</td><td>( 1.54 ± 0.32 )</td><td>× 10<sup>-7</sup></td><td></td><td>710</td></tr><tr><td>K<sup>-</sup>K<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup> (non-res)</td><td>C1</td><td>&lt; 3.3</td><td>× 10<sup>-5</sup></td><td>CL=90%</td><td>-</td></tr><tr><td>φμ<sup>+</sup>μ<sup>-</sup></td><td></td><td>&lt; 3.1</td><td>× 10<sup>-5</sup></td><td>CL=90%</td><td>631</td></tr><tr><td>K<sup>0</sup>e<sup>+</sup>e<sup>-</sup></td><td>[pp]</td><td>&lt; 2.4</td><td>× 10<sup>-5</sup></td><td>CL=90%</td><td>866</td></tr><tr><td>K<sup>0</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>[pp]</td><td>&lt; 2.6</td><td>× 10<sup>-4</sup></td><td>CL=90%</td><td>852</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>e<sup>+</sup>e<sup>-</sup>, 675 &lt; m<sub>ee</sub> &lt; 875 MeV</td><td></td><td>( 4.0 ± 0.5 )</td><td>× 10<sup>-6</sup></td><td></td><td>-</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>e<sup>+</sup>e<sup>-</sup>, 1.005 &lt; m<sub>ee</sub> &lt; 1.035 GeV</td><td></td><td>&lt; 5</td><td>× 10<sup>-7</sup></td><td>CL=90%</td><td>-</td></tr><tr><td>K<sup>0</sup>(892)<sup>0</sup>e<sup>+</sup>e<sup>-</sup></td><td>[pp]</td><td>&lt; 4.7</td><td>× 10<sup>-5</sup></td><td>CL=90%</td><td>719</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>C1</td><td>&lt; 3.59</td><td>× 10<sup>-4</sup></td><td>CL=90%</td><td>829</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup>, 675 &lt; m<sub>μμ</sub> &lt; 875 MeV</td><td></td><td>( 4.2 ± 0.4 )</td><td>× 10<sup>-6</sup></td><td></td><td>-</td></tr><tr><td>K<sup>0</sup>(892)<sup>0</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>[pp]</td><td>&lt; 2.4</td><td>× 10<sup>-5</sup></td><td>CL=90%</td><td>700</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>C1</td><td>&lt; 8.1</td><td>× 10<sup>-4</sup></td><td>CL=90%</td><td>863</td></tr><tr><td>μ<sup>+</sup>e<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>[aa] &lt; 1.3</td><td>× 10<sup>-8</sup></td><td>CL=90%</td><td>929</td></tr><tr><td>π<sup>0</sup>e<sup>+</sup>μ<sup>+</sup></td><td>LF</td><td>[aa] &lt; 8.0</td><td>× 10<sup>-7</sup></td><td>CL=90%</td><td>924</td></tr><tr><td>ηe<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>[aa] &lt; 2.25</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>848</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup>e<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>[aa] &lt; 1.71</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>911</td></tr><tr><td>ρ<sup>0</sup>e<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>[aa] &lt; 5.0</td><td>× 10<sup>-7</sup></td><td>CL=90%</td><td>767</td></tr><tr><td>ωe<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>[aa] &lt; 1.71</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>764</td></tr><tr><td>K<sup>-</sup>K<sup>+</sup>e<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>[aa] &lt; 1.00</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>754</td></tr><tr><td>φe<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>[aa] &lt; 5.1</td><td>× 10<sup>-7</sup></td><td>CL=90%</td><td>648</td></tr><tr><td>K<sup>0</sup>e<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>[aa] &lt; 1.74</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>863</td></tr><tr><td>K<sup>-</sup>π<sup>+</sup>e<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>[aa] &lt; 1.90</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>848</td></tr><tr><td>K<sup>0</sup>(892)<sup>0</sup>e<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>[aa] &lt; 1.25</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>714</td></tr><tr><td>2π<sup>-</sup>2e<sup>+</sup></td><td>L</td><td>&lt; 9.1</td><td>× 10<sup>-7</sup></td><td>CL=90%</td><td>922</td></tr><tr><td>2π<sup>-</sup>2μ<sup>+</sup></td><td>L</td><td>&lt; 1.52</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>894</td></tr><tr><td>K<sup>-</sup>π<sup>-</sup>2e<sup>+</sup></td><td>L</td><td>&lt; 5.0</td><td>× 10<sup>-7</sup></td><td>CL=90%</td><td>861</td></tr><tr><td>K<sup>-</sup>π<sup>-</sup>2μ<sup>+</sup></td><td>L</td><td>&lt; 5.3</td><td>× 10<sup>-7</sup></td><td>CL=90%</td><td>829</td></tr><tr><td>2K<sup>-</sup>2e<sup>+</sup></td><td>L</td><td>&lt; 3.4</td><td>× 10<sup>-7</sup></td><td>CL=90%</td><td>791</td></tr><tr><td>2K<sup>-</sup>2μ<sup>+</sup></td><td>L</td><td>&lt; 1.0</td><td>× 10<sup>-7</sup></td><td>CL=90%</td><td>710</td></tr><tr><td>π<sup>+</sup>π<sup>-</sup>e<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>L</td><td>&lt; 3.06</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>911</td></tr><tr><td>K<sup>-</sup>π<sup>-</sup>e<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>L</td><td>&lt; 2.10</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>848</td></tr><tr><td>2K<sup>-</sup>e<sup>+</sup>μ<sup>+</sup></td><td>L</td><td>&lt; 5.8</td><td>× 10<sup>-7</sup></td><td>CL=90%</td><td>754</td></tr><tr><td>ρe<sup>-</sup></td><td>L,B</td><td>&lt; 2.2</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>696</td></tr><tr><td>p̄e<sup>+</sup></td><td>L,B</td><td>&lt; 1.2</td><td>× 10<sup>-6</sup></td><td>CL=90%</td><td>696</td></tr></tbody></table>

$D^*(2007)^0$

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

$\text{Mass } m = 2006.85 \pm 0.05 \text{ MeV} \quad (S = 1.1)$

$m_{D^{*0}} - m_{D^{0}} = 142.014 \pm 0.030 \text{ MeV} \quad (S = 1.5)$

$\text{Full width } \Gamma < 2.1 \text{ MeV, CL } = 90\%$

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

<table><thead><tr><th>D*(2007)<sup>0</sup> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Confidence level</th><th>p</th></tr></thead><tbody><tr><td>D<sup>0</sup>π<sup>0</sup></td><td>(64.7 ± 0.9) %</td><td></td><td>43</td></tr><tr><td>D<sup>0</sup>γ</td><td>(35.3 ± 0.9) %</td><td></td><td>137</td></tr><tr><td>D<sup>0</sup>e<sup>+</sup>e<sup>-</sup></td><td>( 3.91±0.33) × 10<sup>-3</sup></td><td></td><td>137</td></tr><tr><td>μ<sup>+</sup>μ<sup>-</sup></td><td>&lt; 2.5</td><td>× 10<sup>-8</sup></td><td>90%</td><td>998</td></tr><tr><td>e<sup>+</sup>e<sup>-</sup></td><td>&lt; 1.7</td><td>× 10<sup>-6</sup></td><td>90%</td><td>1003</td></tr></tbody></table>

$D^*(2010)^{\pm}$

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

$\text{Mass } m = 2010.26 \pm 0.05 \text{ MeV}$

$m_{D^*(2010)^+} - m_{D^+} = 140.603 \pm 0.015 \text{ MeV}$

$m_{D^*(2010)^+} - m_{D^0} = 145.4258 \pm 0.0017 \text{ MeV}$

$\text{Full width } \Gamma = 83.4 \pm 1.8 \text{ keV}$

$D^*(2010)^-$ modes are charge conjugates of the modes below.

<table><thead><tr><th>D*(2010)<sup>±</sup> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>p (MeV/c)</th></tr></thead><tbody><tr><td>D<sup>0</sup>π<sup>+</sup></td><td>(67.7±0.5) %</td><td>39</td></tr><tr><td>D<sup>+</sup>π<sup>0</sup></td><td>(30.7±0.5) %</td><td>38</td></tr><tr><td>D<sup>+</sup>γ</td><td>( 1.6±0.4) %</td><td>136</td></tr></tbody></table>

$D_0^*(2300)$

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

was $D_0^*(2400)$

$\text{Mass } m = 2343 \pm 10 \text{ MeV} \quad (S = 1.5)$

$\text{Full width } \Gamma = 229 \pm 16 \text{ MeV}$

$D_0^*(2300) \text{ DECAY MODES}$

Fraction ($\Gamma_i/\Gamma$)

$\rho$ (MeV/c)

$D\pi^\pm$

seen

411

$D_1(2420)$

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

$\text{Mass } m = 2422.1 \pm 0.6 \text{ MeV} \quad (S = 1.7)$

$m_{D_1(2420)^0} - m_{D^+} = 411.8 \pm 0.6 \text{ MeV} \quad (S = 1.7)$

$m_{D_1(2420)^+} - m_{D_1(2420)^0} = 4 \pm 4 \text{ MeV}$

$\text{Full width } \Gamma = 31.3 \pm 1.9 \text{ MeV} \quad (S = 2.8)$

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

$D_1(2420) \text{ DECAY MODES}$

Fraction ($\Gamma_i/\Gamma$)

$\rho$ (MeV/c)

$D^*(2007)^0 \pi$

seen

359

$D_1(2430)^0$

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

$\text{Mass } m = 2412 \pm 9 \text{ MeV}$

$\text{Full width } \Gamma = 314 \pm 29 \text{ MeV}$

$D_1(2430)^0 \text{ DECAY MODES}$

Fraction ($\Gamma_i/\Gamma$)

$\rho$ (MeV/c)

$D^*(2010)^+ \pi^-$

seen

345

$D_2^*(2460)$

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

$\text{Mass } m = 2461.1 \pm 0.8 \text{ MeV} \quad (S = 6.3)$

$m_{D_2^*(2460)^0} - m_{D^+} = 591.5 \pm 0.8 \text{ MeV} \quad (S = 6.0)$

$m_{D_2^*(2460)^0} - m_{D^+} = 450.9 \pm 0.8 \text{ MeV} \quad (S = 6.0)$

$m_{D_2^*(2460)^+} - m_{D_2^*(2460)^0} = 2.4 \pm 1.7 \text{ MeV}$

$\text{Full width } \Gamma = 47.3 \pm 0.8 \text{ MeV} \quad (S = 1.5)$

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

$D_2^*(2460) \text{ DECAY MODES}$

Fraction ($\Gamma_i/\Gamma$)

$\rho$ (MeV/c)

$D\pi^-$

seen

509

$D^*(2010)\pi^-$

seen

389

$D_3^*(2750)$

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

$\text{Mass } m = 2763.1 \pm 3.2 \text{ MeV} \quad (S = 2.1)$

$\text{Full width } \Gamma = 66 \pm 5 \text{ MeV}$

$D_3^*(2750) \text{ DECAY MODES}$

Fraction ($\Gamma_i/\Gamma$)

$\rho$ (MeV/c)

$D\pi$

seen

743

$D^+\pi^-$

seen

739

$D^0\pi^\pm$

seen

743

$D^*\pi$

seen

639

$D^{*+}\pi^-$

seen

639

CHARMED, STRANGE MESONS

$(C = \pm 1, S = \pm 1)$

(including possibly non-$q\bar{q}$ states)

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

$D_s^\pm$

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

$\text{Mass } m = 1968.35 \pm 0.07 \text{ MeV}$

$m_{D_s^\pm} - m_{D^\pm} = 98.69 \pm 0.05 \text{ MeV}$

$\text{Mean life } \tau = (501.2 \pm 2.2) \times 10^{-15} \text{ s} \quad (S = 1.3)$

$c\tau = 150.3 \mu m$

CP-violating decay-rate asymmetries

$A_{CP}(\mu^{\pm}\nu) = (-0.2 \pm 2.5)\%$

$A_{CP}(\tau^{\pm}\nu) \text{ in } D_s^+ \rightarrow \tau^+\nu_s, D_s^- \rightarrow \tau^-\bar{\nu}_s = (3 \pm 5)\%$

$A_{CP}(K^\pm K_S^0) = (0.09 \pm 0.26)\%$

$A_{CP}(K^\pm K_L^0) \text{ in } D_s^+ \rightarrow K^\pm K_L^0 = (-1.1 \pm 2.7) \times 10^{-2}$
$$A_{CP}(K^{+} K^{-} \pi^{\pm}) = (-0.5 \pm 0.9)\%$$

$$A_{CP}(\phi\pi^{\pm}) = (-0.38 \pm 0.27)\%$$

$$A_{CP}(K^{\pm} K_{S}^{0} \pi^{0}) = (-2 \pm 6)\%$$

$$A_{CP}(2K_{S}^{0} \pi^{\pm}) = (3 \pm 5)\%$$

$$A_{CP}(K^{+} K^{-} \pi^{\pm} \pi^{0}) = (0.0 \pm 3.0)\%$$

$$A_{CP}(K^{\pm} K_{S}^{0} \pi^{+} \pi^{-}) = (-6 \pm 5)\%$$

$$A_{CP}(K_{S}^{0} K_{\mp}^{\pm} 2\pi^{\pm}) = (4.1 \pm 2.8)\%$$

$$A_{CP}(\pi^{+} \pi^{-} \pi^{\pm}) = (-0.7 \pm 3.1)\%$$

$$A_{CP}(\pi^{\pm} \eta) = (0.32 \pm 0.31)\%$$

$$A_{CP}(\pi^{\pm} \eta') = (-0.06 \pm 0.22)\% \ (S = 1.6)$$

$$A_{CP}(\eta\pi^{\pm}\pi^{0}) = (-1 \pm 4)\%$$

$$A_{CP}(\eta'\pi^{\pm}\pi^{0}) = (0 \pm 8)\%$$

$$A_{CP}(K^{\pm}\pi^{0}) = (2 \pm 4)\% \ (S = 1.2)$$

$$A_{CP}(K_{S}^{0} \pi^{\pm}) = (0.20 \pm 0.18)\%$$

$$A_{CP}(K^{\pm} \pi^{+} \pi^{-}) = (3.7 \pm 2.7)\%$$

$$A_{CP}(K_{S}^{0} \pi^{+} \pi^{0}) \text{ in } D_{S}^{+} \rightarrow K_{S}^{0} \pi^{\pm} \pi^{0} = (3 \pm 6)\%$$

$$A_{CP}(K^{\pm} \pi^{+} \pi^{-} \pi^{0}) \text{ in } D_{S}^{+} \rightarrow K^{\pm} \pi^{+} \pi^{-} \pi^{0} = (7 \pm 5) \times 10^{-2}$$

$$A_{CP}(K^{\pm} \eta) = (1.8 \pm 1.9)\%$$

$$A_{CP}(K^{\pm} \eta'(958)) = (6 \pm 19)\%$$

### CP violating asymmetries of P-odd (T-odd) moments

$$\text{Local CPV in } D_{S}^{\pm} \rightarrow K^{+} K^{-} K^{-} = 0.133$$

$$A_{T}(K_{S}^{0} K^{\pm} \pi^{+} \pi^{-}) = (-8 \pm 6) \times 10^{-3} \text{ [ii]}$$

$$D_{S}^{+} \rightarrow \phi\ell^{+} \nu_{\ell} \text{ form factors}$$

$$r_{2} = 0.83 \pm 0.08 \ (S = 1.8)$$

$$r_{\nu} = 1.76 \pm 0.07 \ (S = 1.1)$$

$$\Gamma_{L}/\Gamma_{T} = 0.72 \pm 0.18$$

$$f_{+}(0) |V_{cs}| \text{ in } D_{S}^{+} \rightarrow \eta e^{+} \nu_{e} = 0.452 \pm 0.010$$

$$f_{+}(0) |V_{cs}| \text{ in } D_{S}^{+} \rightarrow \eta' e^{+} \nu_{e} = 0.525 \pm 0.026$$

$$f_{+}(0) |V_{cd}| \text{ in } D_{S}^{+} \rightarrow K_{S}^{0} e^{+} \nu_{e} = 0.162 \pm 0.019$$

$$r_{\nu} \equiv V(0)/A_{1}(0) \text{ in } D_{S}^{+} \rightarrow K^{*}(892)0 e^{+} \nu_{e} = 1.7 \pm 0.4$$

$$r_{2} \equiv A_{2}(0)/A_{1}(0) \text{ in } D_{S}^{+} \rightarrow K^{*}(892)0 e^{+} \nu_{e} = 0.77 \pm 0.29$$

$$f_{D_{S}^{+}} |V_{cs}| \text{ in } D_{S}^{+} \rightarrow \mu^{+} \nu_{\mu} = 241.8 \pm 3.3 \text{ MeV}$$

$$f_{D_{S}^{+}} |V_{cs}| \text{ in } D_{S}^{+} \rightarrow \tau^{+} \nu_{\tau} = 246.6 \pm 2.5 \text{ MeV}$$

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>D<sub>S</sub><sup>+</sup> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Scale factor/ p</th><th>Confidence level (MeV/c)</th></tr></thead><tbody><tr><td colspan="4"><strong>Inclusive modes</strong></td></tr><tr><td>e<sup>+</sup> semileptonic</td><td>[aaaa] (6.33 ± 0.15) %</td><td>—</td><td>—</td></tr><tr><td>π<sup>+</sup> anything</td><td>(119.3 ± 1.4) %</td><td>—</td><td>—</td></tr><tr><td>π<sup>-</sup> anything</td><td>(43.2 ± 0.9) %</td><td>—</td><td>—</td></tr><tr><td>π<sup>0</sup> anything</td><td>(123 ± 7) %</td><td>—</td><td>—</td></tr><tr><td>K<sup>-</sup> anything</td><td>(18.7 ± 0.5) %</td><td>—</td><td>—</td></tr><tr><td>K<sup>+</sup> anything</td><td>(28.9 ± 0.7) %</td><td>—</td><td>—</td></tr><tr><td>K<sub>S</sub><sup>0</sup> anything</td><td>(19.0 ± 1.1) %</td><td>—</td><td>—</td></tr><tr><td>η anything</td><td>[bbb] (29.9 ± 2.8) %</td><td>—</td><td>—</td></tr><tr><td>ω anything</td><td>(6.1 ± 1.4) %</td><td>—</td><td>—</td></tr><tr><td>η' anything</td><td>[ccc] (10.3 ± 1.4) %</td><td>S=1.1</td><td>—</td></tr><tr><td>f<sub>0</sub>(980) anything, f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td><td>&lt; 1.3 %</td><td>CL=90%</td><td>—</td></tr><tr><td>φ anything</td><td>(15.7 ± 1.0) %</td><td>—</td><td>—</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup> anything</td><td>(15.8 ± 0.7) %</td><td>—</td><td>—</td></tr><tr><td>K<sub>S</sub><sup>0</sup> K<sup>+</sup> anything</td><td>(5.8 ± 0.5) %</td><td>—</td><td>—</td></tr><tr><td>K<sub>S</sub><sup>0</sup> K<sup>-</sup> anything</td><td>(1.9 ± 0.4) %</td><td>—</td><td>—</td></tr><tr><td>2K<sub>S</sub><sup>0</sup> anything</td><td>(1.70 ± 0.32) %</td><td>—</td><td>—</td></tr><tr><td>2K<sup>+</sup> anything</td><td>&lt; 2.6 × 10<sup>-3</sup> CL=90%</td><td>—</td><td>—</td></tr><tr><td>2K<sup>-</sup> anything</td><td>&lt; 6 × 10<sup>-4</sup> CL=90%</td><td>—</td><td>—</td></tr><tr><td>2π<sup>+</sup> π<sup>-</sup> + anything</td><td>(32.8 ± 0.7) %</td><td>—</td><td>—</td></tr><tr><td colspan="4"><strong>Leptonic and semileptonic modes</strong></td></tr><tr><td>e<sup>+</sup> ν<sub>e</sub></td><td>&lt; 8.3 × 10<sup>-5</sup> CL=90%</td><td>984</td><td>—</td></tr><tr><td>μ<sup>+</sup> ν<sub>μ</sub></td><td>(5.35 ± 0.12) × 10<sup>-3</sup></td><td>981</td><td>—</td></tr><tr><td>τ<sup>+</sup> ν<sub>τ</sub></td><td>(5.36 ± 0.10) %</td><td>182</td><td>—</td></tr><tr><td>γ e<sup>+</sup> ν<sub>e</sub></td><td>&lt; 1.3 × 10<sup>-4</sup> CL=90%</td><td>984</td><td>—</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup> e<sup>+</sup> ν<sub>e</sub></td><td>—</td><td>851</td><td>—</td></tr><tr><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 × 10<sup>-4</sup> CL=90%</td><td>849</td><td>—</td></tr><tr><td>φ e<sup>+</sup> ν<sub>e</sub></td><td>[ddd] (2.39 ± 0.16) %</td><td>S=1.3</td><td>720</td></tr><tr><td>K<sub>1</sub>(1270)<sup>0</sup> e<sup>+</sup> ν<sub>e</sub></td><td>&lt; 4.1 × 10<sup>-4</sup> CL=90%</td><td>585</td><td>—</td></tr><tr><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 × 10<sup>-4</sup> CL=90%</td><td>—</td><td>—</td></tr></tbody></table>

<table><tbody><tr><td>φμ<sup>+</sup>ν<sub>μ</sub></td><td>(2.24 ± 0.11) %</td><td>715</td></tr><tr><td>ηe<sup>+</sup>ν<sub>e</sub> + η'(958)e<sup>+</sup>ν<sub>e</sub></td><td>[ddd] (3.03 ± 0.24) %</td><td>—</td></tr><tr><td>ηe<sup>+</sup>ν<sub>e</sub></td><td>[ddd] (2.26 ± 0.06) %</td><td>908</td></tr><tr><td>η'(958)e<sup>+</sup>ν<sub>e</sub></td><td>[ddd] (8.0 ± 0.4) × 10<sup>-3</sup></td><td>751</td></tr><tr><td>ημ<sup>+</sup>ν<sub>μ</sub></td><td>(2.4 ± 0.5) %</td><td>905</td></tr><tr><td>η'(958)μ<sup>+</sup>ν<sub>μ</sub></td><td>(1.1 ± 0.5) %</td><td>747</td></tr><tr><td>ωe<sup>+</sup>ν<sub>e</sub></td><td>[eee] &lt; 2.0 × 10<sup>-3</sup> CL=90%</td><td>829</td></tr><tr><td>K<sup>0</sup>e<sup>+</sup>ν<sub>e</sub></td><td>(3.4 ± 0.4) × 10<sup>-3</sup></td><td>921</td></tr><tr><td>K*(892)<sup>0</sup> e<sup>+</sup>ν<sub>e</sub></td><td>[ddd] (2.15 ± 0.28) × 10<sup>-3</sup> S=1.1</td><td>782</td></tr><tr><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 × 10<sup>-4</sup> CL=90%</td><td>—</td></tr><tr><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>(7.9 ± 1.5) × 10<sup>-4</sup></td><td>—</td></tr><tr><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 × 10<sup>-4</sup> CL=90%</td><td>—</td></tr><tr><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 × 10<sup>-4</sup> CL=90%</td><td>—</td></tr><tr><td>π<sup>0</sup> e<sup>+</sup>ν<sub>e</sub></td><td>&lt; 6.4 × 10<sup>-5</sup> CL=90%</td><td>980</td></tr></tbody></table>

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

<table><tbody><tr><td>K<sup>+</sup> K<sub>S</sub><sup>0</sup></td><td>(1.450 ± 0.035) %</td><td>850</td></tr><tr><td>K<sup>+</sup> K<sub>S</sub><sup>0</sup></td><td>(1.49 ± 0.06) %</td><td>850</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup></td><td>(2.95 ± 0.14) %</td><td>850</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup> π<sup>+</sup></td><td>[jj] (5.37 ± 0.10) %</td><td>S=1.1</td></tr><tr><td>φπ<sup>+</sup></td><td>[ddd, fff] (4.5 ± 0.4) %</td><td>712</td></tr><tr><td>φπ<sup>+</sup>, φ → K<sup>+</sup> K<sup>-</sup></td><td>[fff] (2.21 ± 0.06) %</td><td>712</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup>*(892)<sup>0</sup></td><td>(12.7 ± 4.0) %</td><td>685</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup>*(892)<sup>0</sup>, K<sup>-</sup>*(0) →</td><td>(2.58 ± 0.06) %</td><td>416</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup></td><td>(4.8 ± 0.5) × 10<sup>-3</sup></td><td>—</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup>*(892)<sup>0</sup>, K<sup>-</sup>*(0) →</td><td>(4.8 ± 0.5) × 10<sup>-3</sup></td><td>—</td></tr><tr><td>K<sub>S</sub><sup>0</sup> π<sup>0</sup></td><td>(1.11 ± 0.19) %</td><td>732</td></tr><tr><td>f<sub>0</sub>(980)π<sup>+</sup>, f<sub>0</sub> → K<sup>+</sup> K<sup>-</sup></td><td>(7.1 ± 2.9) × 10<sup>-4</sup></td><td>—</td></tr><tr><td>f<sub>0</sub>(1710)π<sup>+</sup>, f<sub>0</sub> → K<sup>+</sup> K<sup>-</sup></td><td>(6.7 ± 2.8) × 10<sup>-4</sup></td><td>198</td></tr><tr><td>a<sub>0</sub>(980)<sup>+</sup>π<sup>0</sup>, a<sub>0</sub><sup>+</sup> → K<sup>+</sup> K<sub>S</sub><sup>0</sup></td><td>(1.1 ± 0.4) × 10<sup>-3</sup></td><td>—</td></tr><tr><td>a<sub>0</sub>(1710)<sup>+</sup>π<sup>0</sup>, a<sub>0</sub><sup>+</sup> →</td><td>(3.5 ± 0.6) × 10<sup>-3</sup></td><td>—</td></tr><tr><td>K<sup>+</sup> K<sub>S</sub><sup>0</sup></td><td>(1.76 ± 0.25) × 10<sup>-3</sup></td><td>218</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup>*(1430)<sup>0</sup>, K<sup>-</sup>*(0) →</td><td>(1.76 ± 0.25) × 10<sup>-3</sup></td><td>218</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup>*(1410)<sup>0</sup>, K<sup>-</sup>*(0) →</td><td>(8.8 ± 2.8) × 10<sup>-4</sup></td><td>—</td></tr><tr><td>K<sub>S</sub><sup>0</sup> π<sup>0</sup></td><td>(1.47 ± 0.07) %</td><td>805</td></tr><tr><td>K*(892)<sup>+</sup> K<sub>S</sub><sup>0</sup>, K*(0) →</td><td>(2.04 ± 0.33) × 10<sup>-3</sup></td><td>—</td></tr><tr><td>2K<sub>S</sub><sup>0</sup> π<sup>+</sup></td><td>(7.1 ± 0.4) × 10<sup>-3</sup> S=1.3</td><td>802</td></tr><tr><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 × 10<sup>-4</sup> CL=90%</td><td>—</td></tr><tr><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>(3.3 ± 0.4) × 10<sup>-3</sup></td><td>—</td></tr><tr><td>K*(892)<sup>+</sup> K<sub>S</sub><sup>0</sup>, K*(0) →</td><td>(3.09 ± 0.33) × 10<sup>-3</sup></td><td>683</td></tr><tr><td>K<sub>S</sub><sup>0</sup> K<sup>-</sup> π<sup>+</sup></td><td>—</td><td>802</td></tr><tr><td>K*(892)<sup>+</sup> K<sup>-</sup></td><td>[ddd] (5.4 ± 1.2) %</td><td>683</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup> π<sup>+</sup> π<sup>0</sup></td><td>(5.50 ± 0.24) %</td><td>S=1.3</td></tr><tr><td>φρ<sup>+</sup></td><td>[ddd] (5.59 ± 0.34) %</td><td>401</td></tr><tr><td>K<sub>1</sub>(1270)<sup>0</sup> K<sup>+</sup>, K<sub>1</sub>(1270)<sup>0</sup> → K<sup>-</sup> ρ<sup>+</sup></td><td>(5.7 ± 0.6) × 10<sup>-3</sup></td><td>—</td></tr><tr><td>K<sub>1</sub>(1270)<sup>0</sup> K<sup>+</sup>, K<sub>1</sub>(1270)<sup>0</sup> → K*(892)π</td><td>(1.31 ± 0.25) %</td><td>—</td></tr><tr><td>K<sub>1</sub>(1400)<sup>0</sup> K<sup>+</sup>, K<sub>1</sub>(1400)<sup>0</sup> → K*(892)π</td><td>(2.0 ± 0.4) %</td><td>—</td></tr><tr><td>a<sub>0</sub>(980)<sup>0</sup> ρ<sup>+</sup>, a<sub>0</sub><sup>0</sup> → K<sup>+</sup> K<sup>-</sup></td><td>(1.9 ± 0.4) × 10<sup>-3</sup></td><td>—</td></tr><tr><td>f<sub>1</sub>(1420)<sup>0</sup> π<sup>+</sup>, f<sub>1</sub>(1420)<sup>0</sup> → K*(892)<sup>0</sup> K<sup>+</sup> K<sup>-</sup></td><td>(3.9 ± 0.7) × 10<sup>-3</sup></td><td>—</td></tr><tr><td>f<sub>1</sub>(1420)<sup>0</sup> π<sup>+</sup>, f<sub>1</sub>(1420)<sup>0</sup> → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> π<sup>0</sup>, a<sub>0</sub>(980)<sup>0</sup> →</td><td>(4.0 ± 1.4) × 10<sup>-4</sup></td><td>—</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup></td><td>(7.0 ± 2.8) × 10<sup>-4</sup></td><td>—</td></tr><tr><td>K<sub>S</sub><sup>0</sup> K<sup>-</sup> 2π<sup>+</sup></td><td>(1.53 ± 0.08) %</td><td>S=1.5</td></tr><tr><td>K<sup>+</sup> K<sup>-</sup> K<sub>S</sub><sup>0</sup> π<sup>+</sup></td><td>(1.29 ± 0.18) × 10<sup>-4</sup></td><td>744</td></tr><tr><td>K*(892)<sup>+</sup> K<sup>-</sup>*(892)<sup>0</sup></td><td>[ddd] (5.64 ± 0.35) %</td><td>417</td></tr><tr><td>η(1475) K<sub>S</sub><sup>0</sup>, η → K*(892)<sup>0</sup> π<sup>+</sup>, K<sup>*0</sup> →</td><td>(3.4 ± 1.0) × 10<sup>-4</sup></td><td>—</td></tr><tr><td>K<sup>-</sup> π<sup>+</sup></td><td>(3.4 ± 1.0) × 10<sup>-4</sup></td><td>—</td></tr><tr><td>K*(1475)π<sup>+</sup>, η → K<sup>-</sup>*(892)<sup>+</sup> K<sup>-</sup>, K<sup>*+</sup> →</td><td>(3.4 ± 1.0) × 10<sup>-4</sup></td><td>—</td></tr><tr><td>K<sub>S</sub><sup>0</sup> π<sup>+</sup></td><td>(1.7 ± 0.9) × 10<sup>-3</sup></td><td>—</td></tr><tr><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><td>—</td></tr></tbody></table>
Meson Summary Table

<table><tbody><tr><td>f<sub>1</sub>(1285)π<sup>+</sup>, f<sub>1</sub> →</td><td>( 3.4 ±0.8 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>a<sub>0</sub>(980)<sup>-</sup>π<sup>+</sup>, a<sub>0</sub> →</td><td></td><td></td></tr><tr><td>K<sup>0</sup><sub>S</sub>K<sup>-</sup></td><td></td><td></td></tr><tr><td>K<sup>+</sup>K<sup>0</sup><sub>S</sub>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>K<sup>+</sup>K<sup>-</sup>2π<sup>+</sup>π<sup>-</sup></td><td>( 6.6 ±0.6 ) × 10<sup>-3</sup></td><td>744</td></tr><tr><td>φ2π<sup>+</sup>π<sup>-</sup></td><td>[ddd] ( 1.21 ±0.16 ) %</td><td>640</td></tr><tr><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>181</td></tr><tr><td>φa<sub>1</sub>(1260)<sup>+</sup>, φ →</td><td>( 7.4 ±1.2 ) × 10<sup>-3</sup></td><td>†</td></tr><tr><td>K<sup>+</sup>K<sup>-</sup>, a<sub>1</sub><sup>+</sup> →</td><td></td><td></td></tr><tr><td>ρ<sup>0</sup>π<sup>+</sup></td><td></td><td></td></tr><tr><td>φ2π<sup>+</sup>π<sup>-</sup> non-ρ, φ →</td><td>( 1.4 ±0.5 ) × 10<sup>-3</sup></td><td>-</td></tr><tr><td>K<sup>+</sup>K<sup>-</sup></td><td></td><td></td></tr><tr><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>CL=90%</td></tr><tr><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>249</td></tr><tr><td>2K<sup>0</sup><sub>S</sub>2π<sup>+</sup>π<sup>-</sup></td><td>( 7.8 ±3.3 ) × 10<sup>-4</sup></td><td>673</td></tr><tr><td></td><td></td><td>669</td></tr></tbody></table>

Hadronic modes without K's

<table><tbody><tr><td>π<sup>+</sup>π<sup>0</sup></td><td>&lt; 1.2</td><td>× 10<sup>-4</sup>CL=90%</td><td>975</td></tr><tr><td>2π<sup>+</sup>π<sup>-</sup></td><td>( 1.08 ±0.04 ) %</td><td></td><td>959</td></tr><tr><td>ρ<sup>0</sup>π<sup>+</sup></td><td>( 1.12 ±0.17 ) × 10<sup>-4</sup></td><td></td><td>825</td></tr><tr><td>π<sup>+</sup>(π<sup>+</sup>π<sup>-</sup>)<sub>S-wave</sub></td><td>( 9.12 ±0.35 ) × 10<sup>-3</sup></td><td></td><td>959</td></tr><tr><td>f<sub>2</sub>(1270)π<sup>+</sup>, f<sub>2</sub> → π<sup>+</sup>π<sup>-</sup></td><td>( 1.40 ±0.11 ) × 10<sup>-3</sup></td><td></td><td>559</td></tr><tr><td>f'<sub>2</sub>(1525)<sup>0</sup>π<sup>+</sup>, f'<sub>2</sub> → π<sup>+</sup>π<sup>-</sup></td><td>( 5.7 ±2.0 ) × 10<sup>-6</sup></td><td></td><td>-</td></tr><tr><td>ρ(1450)<sup>0</sup>π<sup>+</sup>, ρ<sup>0</sup> → π<sup>+</sup>π<sup>-</sup></td><td>( 1.8 ±0.6 ) × 10<sup>-4</sup></td><td></td><td>421</td></tr><tr><td>ρ(1700)<sup>0</sup>π<sup>+</sup>, ρ<sup>0</sup> → π<sup>+</sup>π<sup>-</sup></td><td>( 4 ±4 ) × 10<sup>-5</sup></td><td></td><td>-</td></tr><tr><td>π<sup>+</sup>2π<sup>0</sup></td><td>( 5.2 ±0.5 ) × 10<sup>-3</sup></td><td>S=1.1</td><td>961</td></tr><tr><td>f<sub>0</sub>(980)π<sup>+</sup>, f<sub>0</sub> → π<sup>0</sup>π<sup>0</sup></td><td>( 2.9 ±0.6 ) × 10<sup>-3</sup></td><td></td><td>-</td></tr><tr><td>f<sub>0</sub>(1370)π<sup>+</sup>, f<sub>0</sub> → π<sup>0</sup>π<sup>0</sup></td><td>( 1.3 ±0.6 ) × 10<sup>-3</sup></td><td></td><td>-</td></tr><tr><td>f<sub>2</sub>(1270)π<sup>+</sup>, f<sub>2</sub> → π<sup>0</sup>π<sup>0</sup></td><td>( 5.0 ±3.5 ) × 10<sup>-4</sup></td><td></td><td>-</td></tr><tr><td>2π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>-</td><td></td><td>935</td></tr><tr><td>ηπ<sup>+</sup></td><td>[ddd] ( 1.67 ±0.09 ) %</td><td>S=1.1</td><td>902</td></tr><tr><td>ωπ<sup>+</sup></td><td>[ddd] ( 1.92 ±0.30 ) × 10<sup>-3</sup></td><td></td><td>822</td></tr><tr><td>ωπ<sup>+</sup>, ω → π<sup>+</sup>π<sup>-</sup></td><td>( 3.9 ±0.5 ) × 10<sup>-5</sup></td><td></td><td>-</td></tr><tr><td>3π<sup>+</sup>2π<sup>-</sup></td><td>( 7.8 ±0.8 ) × 10<sup>-3</sup></td><td></td><td>899</td></tr><tr><td>2π<sup>+</sup>π<sup>-</sup>2π<sup>0</sup></td><td>-</td><td></td><td>902</td></tr><tr><td>ηρ<sup>+</sup></td><td>[ddd] ( 8.9 ±0.8 ) %</td><td></td><td>724</td></tr><tr><td>ηπ<sup>+</sup>π<sup>0</sup></td><td>( 9.5 ±0.5 ) %</td><td></td><td>885</td></tr><tr><td>η(π<sup>+</sup>π<sup>0</sup>)<sub>P-wave</sub></td><td>( 5.1 ±3.1 ) × 10<sup>-3</sup></td><td></td><td>885</td></tr><tr><td>a<sub>0</sub>(980)<sup>+</sup>0π<sup>0</sup>, a<sub>0</sub>(980)<sup>+</sup>0 → ηπ<sup>+</sup></td><td>( 2.2 ±0.4 ) %</td><td></td><td>-</td></tr><tr><td>ωπ<sup>+</sup>π<sup>0</sup></td><td>[ddd] ( 2.8 ±0.7 ) %</td><td></td><td>802</td></tr><tr><td>2π<sup>+</sup>π<sup>-</sup>η</td><td>( 3.12 ±0.16 ) %</td><td></td><td>855</td></tr><tr><td>a<sub>1</sub>(1260)<sup>+</sup>η, a<sub>1</sub><sup>+</sup> →</td><td>( 1.73 ±0.16 ) %</td><td></td><td>-</td></tr><tr><td>ρ(770)<sup>0</sup>π<sup>+</sup>, ρ<sup>0</sup> →</td><td></td><td></td><td></td></tr><tr><td>π<sup>+</sup>π<sup>-</sup></td><td></td><td></td><td></td></tr><tr><td>a<sub>1</sub>(1260)<sup>+</sup>η, a<sub>1</sub><sup>+</sup> →</td><td>( 2.5 ±0.9 ) × 10<sup>-3</sup></td><td></td><td>-</td></tr><tr><td>f<sub>0</sub>(500)π<sup>+</sup>, f<sub>0</sub> → π<sup>+</sup>π<sup>-</sup></td><td></td><td></td><td></td></tr><tr><td>a<sub>0</sub>(980)<sup>+</sup>ρ(770)<sup>0</sup>, a<sub>0</sub><sup>+</sup> →</td><td>( 2.1 ±0.9 ) × 10<sup>-3</sup></td><td></td><td>-</td></tr><tr><td>ηπ<sup>+</sup></td><td></td><td></td><td></td></tr><tr><td>η(1405)π<sup>+</sup>, η(1405) →</td><td>( 2.2 ±0.7 ) × 10<sup>-4</sup></td><td></td><td>-</td></tr><tr><td>a<sub>0</sub>(980)<sup>-</sup>π<sup>+</sup>, a<sub>0</sub><sup>+</sup> →</td><td></td><td></td><td></td></tr><tr><td>ηπ<sup>-</sup></td><td></td><td></td><td></td></tr><tr><td>η(1405)π<sup>+</sup>, η(1405) →</td><td>( 2.2 ±0.7 ) × 10<sup>-4</sup></td><td></td><td>-</td></tr><tr><td>a<sub>0</sub>(980)<sup>+</sup>π<sup>-</sup>, a<sub>0</sub><sup>+</sup> →</td><td></td><td></td><td></td></tr><tr><td>ηπ<sup>+</sup></td><td></td><td></td><td></td></tr><tr><td>f<sub>1</sub>(1420)π<sup>+</sup>, f<sub>1</sub> →</td><td>( 5.9 ±1.8 ) × 10<sup>-4</sup></td><td></td><td>-</td></tr><tr><td>a<sub>0</sub>(980)<sup>-</sup>π<sup>+</sup>, a<sub>0</sub><sup>+</sup> →</td><td></td><td></td><td></td></tr><tr><td>ηπ<sup>-</sup></td><td></td><td></td><td></td></tr><tr><td>f<sub>1</sub>(1420)π<sup>+</sup>, f<sub>1</sub> →</td><td>( 5.3 ±1.8 ) × 10<sup>-4</sup></td><td></td><td>-</td></tr><tr><td>a<sub>0</sub>(980)<sup>+</sup>π<sup>-</sup>, a<sub>0</sub><sup>+</sup> →</td><td></td><td></td><td></td></tr><tr><td>ηπ<sup>+</sup></td><td></td><td></td><td></td></tr><tr><td>3π<sup>+</sup>2π<sup>-</sup>π<sup>0</sup></td><td>( 4.9 ±3.2 ) %</td><td></td><td>856</td></tr><tr><td>ω2π<sup>+</sup>π<sup>-</sup></td><td>[ddd] ( 1.6 ±0.5 ) %</td><td></td><td>766</td></tr><tr><td>η'(958)π<sup>+</sup></td><td>[ccc,ddd] ( 3.94 ±0.25 ) %</td><td></td><td>743</td></tr><tr><td>3π<sup>+</sup>2π<sup>-</sup>2π<sup>0</sup></td><td>-</td><td></td><td>803</td></tr><tr><td>ωηπ<sup>+</sup></td><td>[ddd] ( 5.4 ±1.3 ) × 10<sup>-3</sup></td><td></td><td>654</td></tr><tr><td>η'(958)ρ<sup>+</sup></td><td>[ccc,ddd] ( 5.8 ±1.5 ) %</td><td></td><td>465</td></tr><tr><td>η'(958)π<sup>+</sup>π<sup>0</sup></td><td>( 6.08 ±0.29 ) %</td><td></td><td>720</td></tr><tr><td>η'(958)π<sup>+</sup>π<sup>0</sup> nonresonant</td><td>&lt; 5.1 %</td><td>CL=90%</td><td>720</td></tr></tbody></table>

Modes with one or three K's

<table><tbody><tr><td>K<sup>+</sup>π<sup>0</sup></td><td>( 7.4 ±0.5 ) × 10<sup>-4</sup></td><td>917</td></tr><tr><td>K<sup>0</sup><sub>S</sub>π<sup>+</sup></td><td>( 1.09 ±0.05 ) × 10<sup>-3</sup></td><td>916</td></tr><tr><td>K<sup>+</sup>η</td><td>[ddd] ( 1.73 ±0.08 ) × 10<sup>-3</sup></td><td>835</td></tr><tr><td>K<sup>+</sup>ω</td><td>[ddd] ( 9.9 ±1.5 ) × 10<sup>-4</sup></td><td>741</td></tr></tbody></table>

<table><tbody><tr><td>K<sup>+</sup>η'(958)</td><td>[ddd] ( 2.64 ±0.24 ) × 10<sup>-3</sup></td><td>646</td></tr><tr><td>K<sup>+</sup>π<sup>+</sup>π<sup>-</sup></td><td>( 6.20 ±0.19 ) × 10<sup>-3</sup></td><td>900</td></tr><tr><td>K<sup>+</sup>ρ<sup>0</sup></td><td>( 2.17 ±0.25 ) × 10<sup>-3</sup></td><td>745</td></tr><tr><td>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><td>-</td></tr><tr><td>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><td>-</td></tr><tr><td>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><td>-</td></tr><tr><td>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><td>-</td></tr><tr><td>K*(892)<sup>0</sup>π<sup>+</sup>, K*<sup>0</sup> →</td><td>( 1.67 ±0.26 ) × 10<sup>-3</sup></td><td>775</td></tr><tr><td>K<sup>+</sup>π<sup>-</sup></td><td></td><td></td></tr><tr><td>K*(1410)<sup>0</sup>π<sup>+</sup>, K*<sup>0</sup> →</td><td>( 6 ±4 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>K<sup>+</sup>π<sup>-</sup></td><td></td><td></td></tr><tr><td>K*(1430)<sup>0</sup>π<sup>+</sup>, K*<sup>0</sup> →</td><td>( 9.3 ±3.1 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>K<sup>+</sup>π<sup>-</sup></td><td></td><td></td></tr><tr><td>K<sup>+</sup>π<sup>+</sup>π<sup>-</sup> nonresonant</td><td>( 9.9 ±3.2 ) × 10<sup>-4</sup></td><td>900</td></tr><tr><td>K<sup>0</sup><sub>S</sub>π<sup>+</sup>π<sup>0</sup></td><td>( 5.38 ±0.32 ) × 10<sup>-3</sup></td><td>899</td></tr><tr><td>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><td>-</td></tr><tr><td>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><td>-</td></tr><tr><td>K*(892)<sup>0</sup>π<sup>+</sup>, K*<sup>0</sup> →</td><td>( 4.5 ±1.3 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub>π<sup>0</sup></td><td></td><td></td></tr><tr><td>K*(892)<sup>+</sup>π<sup>0</sup>, K<sup>*+</sup> →</td><td>( 2.5 ±0.8 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub>π<sup>+</sup></td><td></td><td></td></tr><tr><td>K*(1410)<sup>0</sup>π<sup>+</sup>, K*<sup>0</sup> →</td><td>( 1.8 ±0.9 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>K<sup>0</sup><sub>S</sub>π<sup>0</sup></td><td></td><td></td></tr><tr><td>K<sup>0</sup><sub>S</sub>2π<sup>+</sup>π<sup>-</sup></td><td>( 2.8 ±1.0 ) × 10<sup>-3</sup></td><td>870</td></tr><tr><td>K<sup>+</sup>π<sup>+</sup>π<sup>-</sup>π<sup>0</sup></td><td>( 9.7 ±0.6 ) × 10<sup>-3</sup></td><td>873</td></tr><tr><td>K*(892)<sup>0</sup>ρ<sup>+</sup>, K*<sup>0</sup> →</td><td>( 3.9 ±0.4 ) × 10<sup>-3</sup></td><td>-</td></tr><tr><td>K<sup>+</sup>π<sup>-</sup></td><td></td><td></td></tr><tr><td>K*(892)<sup>+</sup>ρ<sup>0</sup>, K<sup>*+</sup> →</td><td>( 4.2 ±1.2 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>K<sup>+</sup>π<sup>0</sup></td><td></td><td></td></tr><tr><td>K<sub>1</sub>(1270)<sup>0</sup>π<sup>+</sup>, K<sub>1</sub><sup>0</sup> →</td><td>( 3.9 ±1.3 ) × 10<sup>-4</sup></td><td>†</td></tr><tr><td>K<sup>+</sup>ρ<sup>0</sup></td><td></td><td></td></tr><tr><td>K<sub>1</sub>(1400)<sup>0</sup>π<sup>+</sup>, K<sub>1</sub><sup>0</sup> →</td><td>( 5.4 ±0.9 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>K*(890)<sup>+</sup>π<sup>-</sup>, K<sup>*+</sup> →</td><td></td><td></td></tr><tr><td>K<sup>+</sup>π<sup>0</sup></td><td></td><td></td></tr><tr><td>K<sub>1</sub>(1400)<sup>0</sup>π<sup>+</sup>, K<sub>1</sub><sup>0</sup> →</td><td>( 5.9 ±1.0 ) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>K*(890)<sup>0</sup>π<sup>0</sup>, K*<sup>0</sup> →</td><td></td><td></td></tr><tr><td>K<sup>+</sup>π<sup>-</sup></td><td></td><td></td></tr><tr><td>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><td>-</td></tr><tr><td>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><td>-</td></tr><tr><td>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><td>873</td></tr><tr><td>(K<sup>+</sup>π<sup>0</sup>)<sub>P-wave</sub>ρ<sup>0</sup></td><td>( 1.01 ±0.21 ) × 10<sup>-3</sup></td><td>688</td></tr><tr><td>K<sup>+</sup>ωπ<sup>0</sup></td><td>[ddd] &lt; 8.2</td><td>× 10<sup>-3</sup>CL=90%</td></tr><tr><td>K<sup>+</sup>ωπ<sup>+</sup>π<sup>-</sup></td><td>[ddd] &lt; 5.4</td><td>× 10<sup>-3</sup>CL=90%</td></tr><tr><td>K<sup>+</sup>ωη</td><td>[ddd] &lt; 7.9</td><td>× 10<sup>-3</sup>CL=90%</td></tr><tr><td>2K<sup>+</sup>K<sup>-</sup></td><td>( 2.15 ±0.20 ) × 10<sup>-4</sup></td><td>628</td></tr><tr><td>φK<sup>+</sup>, φ → K<sup>+</sup>K<sup>-</sup></td><td>( 8.8 ±2.0 ) × 10<sup>-5</sup></td><td>-</td></tr></tbody></table>

Doubly Cabibbo-suppressed modes

<table><tbody><tr><td>2K<sup>+</sup>π<sup>-</sup></td><td>( 1.274 ±0.031 ) × 10<sup>-4</sup></td><td>805</td></tr><tr><td>K<sup>+</sup>K*(892)<sup>0</sup>, K*<sup>0</sup> →</td><td>( 6.0 ±3.4 ) × 10<sup>-5</sup></td><td>-</td></tr><tr><td>K<sup>+</sup>π<sup>-</sup></td><td></td><td></td></tr></tbody></table>

Baryon-antibaryon mode

<table><tbody><tr><td>ρπ̄</td><td>( 1.22 ±0.11 ) × 10<sup>-3</sup></td><td>295</td></tr><tr><td>ρp̄e<sup>+</sup>ν<sub>e</sub></td><td>&lt; 2.0</td><td>× 10<sup>-4</sup>CL=90%</td></tr></tbody></table>

ΔC = 1 weak neutral current (C1) modes, Lepton family number (LF), or Lepton number (L) violating modes

<table><tbody><tr><td>π<sup>+</sup>e<sup>+</sup>e<sup>-</sup></td><td>[pp] &lt; 5.5</td><td>× 10<sup>-6</sup>CL=90%</td><td>979</td></tr><tr><td>π<sup>+</sup>φ, φ → e<sup>+</sup>e<sup>-</sup></td><td>[oo] ( 6 <sup>+8</sup><sub>-4</sub>)</td><td>× 10<sup>-6</sup></td><td>-</td></tr><tr><td>π<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>[pp] &lt; 1.8</td><td>× 10<sup>-7</sup>CL=90%</td><td>968</td></tr><tr><td>K<sup>+</sup>e<sup>+</sup>e<sup>-</sup></td><td>C1 &lt; 3.7</td><td>× 10<sup>-6</sup>CL=90%</td><td>922</td></tr><tr><td>K<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>C1 &lt; 1.4</td><td>× 10<sup>-7</sup>CL=90%</td><td>909</td></tr><tr><td>K*(892)<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>C1 &lt; 1.4</td><td>× 10<sup>-3</sup>CL=90%</td><td>765</td></tr><tr><td>π<sup>+</sup>e<sup>+</sup>μ<sup>-</sup></td><td>LF &lt; 1.1</td><td>× 10<sup>-6</sup>CL=90%</td><td>976</td></tr><tr><td>π<sup>+</sup>e<sup>-</sup>μ<sup>+</sup></td><td>LF &lt; 9.4</td><td>× 10<sup>-7</sup>CL=90%</td><td>976</td></tr><tr><td>K<sup>+</sup>e<sup>+</sup>μ<sup>-</sup></td><td>LF &lt; 7.9</td><td>× 10<sup>-7</sup>CL=90%</td><td>919</td></tr><tr><td>K<sup>+</sup>e<sup>-</sup>μ<sup>+</sup></td><td>LF &lt; 5.6</td><td>× 10<sup>-7</sup>CL=90%</td><td>919</td></tr><tr><td>π<sup>-</sup>2e<sup>+</sup></td><td>L &lt; 1.4</td><td>× 10<sup>-6</sup>CL=90%</td><td>979</td></tr><tr><td>π<sup>-</sup>2μ<sup>+</sup></td><td>L &lt; 8.6</td><td>× 10<sup>-8</sup>CL=90%</td><td>968</td></tr><tr><td>π<sup>-</sup>e<sup>+</sup>μ<sup>+</sup></td><td>L &lt; 6.3</td><td>× 10<sup>-7</sup>CL=90%</td><td>976</td></tr><tr><td>K<sup>-</sup>2e<sup>+</sup></td><td>L &lt; 7.7</td><td>× 10<sup>-7</sup>CL=90%</td><td>922</td></tr><tr><td>K<sup>-</sup>2μ<sup>+</sup></td><td>L &lt; 2.6</td><td>× 10<sup>-8</sup>CL=90%</td><td>909</td></tr><tr><td>K<sup>-</sup>e<sup>+</sup>μ<sup>+</sup></td><td>L &lt; 2.6</td><td>× 10<sup>-7</sup>CL=90%</td><td>919</td></tr><tr><td>K*(892)<sup>-</sup>2μ<sup>+</sup></td><td>L &lt; 1.4</td><td>× 10<sup>-3</sup>CL=90%</td><td>765</td></tr></tbody></table>
$D_s^{*\pm}$

$I(J^P) = 0(1^-)$

$\text{Mass } m = 2112.2 \pm 0.4 \text{ MeV}$

$m_{D_s^* - m_{D_s^*} = 143.8 \pm 0.4 \text{ MeV}}$

$\text{Full width } \Gamma < 1.9 \text{ MeV, CL} = 90\%$

$D_s^{*-}$ modes are charge conjugates of the modes below.

<table><thead><tr><th>D<sub>s</sub><sup>*+</sup> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>D<sub>s</sub><sup>+</sup>γ</td><td>(93.6 ± 0.4) %</td><td>139</td></tr><tr><td>D<sub>s</sub><sup>+</sup>π<sup>0</sup></td><td>( 5.77 ± 0.35) %</td><td>48</td></tr><tr><td>D<sub>s</sub><sup>+</sup> e<sup>+</sup> e<sup>-</sup></td><td>( 6.7 ± 1.6) × 10<sup>-3</sup></td><td>139</td></tr><tr><td>e<sup>+</sup> ν<sub>e</sub></td><td>( 2.1 <sup>+1.2</sup><sub>-0.9</sub> × 10<sup>-5</sup></td><td>1056</td></tr></tbody></table>

$D_{s0}^{*}(2317)^{\pm}$

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

J, P need confirmation.

$J^P$ is natural, low mass consistent with $0^+$.

See the review on "Heavy Non-$q\bar{q}$ Mesons."

$\text{Mass } m = 2317.8 \pm 0.5 \text{ MeV}$

$m_{D_{s0}^*(2317)^{\pm}} - m_{D_s^*} = 349.4 \pm 0.5 \text{ MeV}$

$\text{Full width } \Gamma < 3.8 \text{ MeV, CL} = 95\%$

$D_{s0}^{*-}(2317)^{-}$ modes are charge conjugates of modes below.

<table><thead><tr><th>D<sub>s0</sub><sup>* (2317) ±</sup> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Confidence level</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>D<sub>s</sub><sup>+</sup> π<sup>0</sup></td><td>(100<sup>+0</sup><sub>-20</sub> %)</td><td></td><td>298</td></tr><tr><td>D<sub>s</sub><sup>+</sup> γ</td><td>&lt; 5 %</td><td>90%</td><td>323</td></tr><tr><td>D<sub>s</sub><sup>*</sup>(2112)<sup>+</sup> γ</td><td>&lt; 6 %</td><td>90%</td><td>—</td></tr><tr><td>D<sub>s</sub><sup>+</sup> γγ</td><td>&lt; 18 %</td><td>95%</td><td>323</td></tr><tr><td>D<sub>s</sub><sup>*</sup>(2112)<sup>+</sup> π<sup>0</sup></td><td>&lt; 11 %</td><td>90%</td><td>—</td></tr><tr><td>D<sub>s</sub><sup>+</sup> π<sup>+</sup> π<sup>-</sup></td><td>&lt; 4 × 10<sup>-3</sup></td><td>90%</td><td>194</td></tr><tr><td>D<sub>s</sub><sup>*</sup> π<sup>0</sup> π<sup>0</sup></td><td>not seen</td><td></td><td>205</td></tr></tbody></table>

$D_{s1}(2460)^{\pm}$

$I(J^P) = 0(1^+)$

See the review on "Heavy Non-$q\bar{q}$ Mesons."

$\text{Mass } m = 2459.5 \pm 0.6 \text{ MeV} \quad (S = 1.1)$

$m_{D_{s1}(2460)^{\pm}} - m_{D_s^{*}} = 347.3 \pm 0.7 \text{ MeV} \quad (S = 1.2)$

$m_{D_{s1}(2460)^{\pm}} - m_{D_s^{*}} = 491.1 \pm 0.6 \text{ MeV} \quad (S = 1.1)$

$\text{Full width } \Gamma < 3.5 \text{ MeV, CL} = 95\%$

$D_{s1}(2460)^{-}$ modes are charge conjugates of the modes below.

<table><thead><tr><th>D<sub>s1</sub>(2460)<sup>+</sup> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Scale factor/ Confidence level</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>D<sub>s</sub><sup>*+</sup> π<sup>0</sup></td><td>(48 ± 11) %</td><td></td><td>297</td></tr><tr><td>D<sub>s</sub><sup>+</sup> γ</td><td>(18 ± 4) %</td><td></td><td>442</td></tr><tr><td>D<sub>s</sub><sup>+</sup> π<sup>+</sup> π<sup>-</sup></td><td>( 4.3 ± 1.3) %</td><td>S=1.1</td><td>363</td></tr><tr><td>D<sub>s</sub><sup>+</sup> γ</td><td>&lt; 8 %</td><td>CL=90%</td><td>323</td></tr><tr><td>D<sub>s0</sub>(2317)<sup>+</sup> γ</td><td>( 3.7<sup>+5.0</sup><sub>-2.4</sub> %)</td><td></td><td>138</td></tr></tbody></table>

$D_{s1}(2536)^{\pm}$

$I(J^P) = 0(1^+)$

J, P need confirmation.

$\text{Mass } m = 2535.11 \pm 0.06 \text{ MeV}$

$m_{D_{s1}(2536)^{\pm}} - m_{D_s^{*}(2111)} = 422.9 \pm 0.4 \text{ MeV}$

$m_{D_{s1}(2536)^{\pm}} - m_{D^{*}(2010)^{\pm}} = 524.85 \pm 0.04 \text{ MeV}$

$m_{D_{s1}(2536)^{\pm}} - m_{D^{*}(2007)^{0}} = 528.26 \pm 0.05 \text{ MeV} \quad (S = 1.1)$

$\text{Full width } \Gamma = 0.92 \pm 0.05 \text{ MeV}$

Branching fractions are given relative to the one **DEFINED AS 1**.

$D_{s1}(2536)^{-}$ modes are charge conjugates of the modes below.

<table><thead><tr><th>D<sub>s1</sub>(2536)<sup>+</sup> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Confidence level</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>D<sup>*</sup>(2010)<sup>+</sup> K<sup>0</sup></td><td>0.85 ± 0.12</td><td></td><td>149</td></tr><tr><td>(D<sup>*</sup>(2010)<sup>+</sup> K<sup>0</sup>)<sub>S-wave</sub></td><td>0.61 ± 0.09</td><td></td><td>149</td></tr><tr><td>K<sup>0</sup><sub>S</sub> D<sup>*</sup>(2010)<sup>+</sup></td><td>0.48 ± 0.07</td><td></td><td>149</td></tr><tr><td>D<sup>+</sup> π<sup>-</sup> K<sup>+</sup></td><td>0.028 ± 0.005</td><td></td><td>176</td></tr></tbody></table>

<table><tr><td>D<sup>*</sup>(2007)<sup>0</sup> K<sup>+</sup></td><td>DEFINED AS 1</td><td>167</td></tr><tr><td>D<sup>+</sup> K<sup>0</sup></td><td>&lt;0.34</td><td>90%</td><td>381</td></tr><tr><td>D<sup>0</sup> K<sup>+</sup></td><td>&lt;0.12</td><td>90%</td><td>391</td></tr><tr><td>D<sub>s</sub><sup>*+</sup> γ</td><td>possibly seen</td><td></td><td>388</td></tr><tr><td>D<sub>s</sub><sup>+</sup> π<sup>+</sup> π<sup>-</sup></td><td>seen</td><td></td><td>437</td></tr></table>

$D_{s2}^{*}(2573)$

$I(J^P) = 0(2^+)$

$\text{Mass } m = 2569.1 \pm 0.8 \text{ MeV} \quad (S = 2.4)$

$m_{D_{s2}^*(2573)} - m_{D^0} = 704 \pm 3.2 \text{ MeV}$

$\text{Full width } \Gamma = 16.9 \pm 0.7 \text{ MeV}$

$D_{s2}^{*-}(2573)^{-}$ modes are charge conjugates of the modes below.

<table><thead><tr><th>D<sub>s2</sub><sup>* (2573) +</sup> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>D<sup>0</sup> K<sup>+</sup></td><td>seen</td><td>431</td></tr><tr><td>D<sup>*</sup>(2007)<sup>0</sup> K<sup>+</sup></td><td>not seen</td><td>238</td></tr><tr><td>D<sup>+</sup> K<sup>0</sup><sub>S</sub></td><td>seen</td><td>422</td></tr><tr><td>D<sup>*+</sup> K<sup>0</sup><sub>S</sub></td><td>seen</td><td>225</td></tr></tbody></table>

$D_{s1}^{*}(2700)^{\pm}$

$I(J^P) = 0(1^-)$

$\text{Mass } m = 2714 \pm 5 \text{ MeV} \quad (S = 1.5)$

$\text{Full width } \Gamma = 122 \pm 10 \text{ MeV}$

<table><thead><tr><th>D<sub>s1</sub><sup>* (2700) ±</sup> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>D<sup>0</sup> K<sup>+</sup></td><td>seen</td><td>579</td></tr><tr><td>D<sup>+</sup> K<sup>0</sup><sub>S</sub></td><td>seen</td><td>573</td></tr><tr><td>D<sup>*0</sup> K<sup>+</sup></td><td>seen</td><td>438</td></tr><tr><td>D<sup>*+</sup> K<sup>0</sup><sub>S</sub></td><td>seen</td><td>431</td></tr></tbody></table>

$D_{s3}^{*}(2860)^{\pm}$

$I(J^P) = 0(3^-)$

$\text{Mass } m = 2860 \pm 7 \text{ MeV}$

$\text{Full width } \Gamma = 53 \pm 10 \text{ MeV}$

<table><thead><tr><th>D<sub>s3</sub><sup>* (2860) ±</sup> DECAY MODES</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>ρ (MeV/c)</th></tr></thead><tbody><tr><td>D<sup>0</sup> K<sup>+</sup></td><td>seen</td><td>710</td></tr><tr><td>D<sup>+</sup> K<sup>0</sup><sub>S</sub></td><td>seen</td><td>704</td></tr><tr><td>D<sup>*0</sup> K<sup>+</sup></td><td>seen</td><td>589</td></tr><tr><td>D<sup>*+</sup> K<sup>0</sup><sub>S</sub></td><td>seen</td><td>584</td></tr></tbody></table>

## BOTTOM MESONS

$(B = \pm 1)$

$B^{+} = u\bar{b}, B^{0} = d\bar{b}, B^{0} = \bar{d}b, B^{-} = \bar{u}b, \text{ similarly for } B^{*'}\text{'s}$

### B-particle organization

Many measurements of B decays involve admixtures of B hadrons. Previously we arbitrarily included such admixtures in the $B^{\pm}$ section, but because of their importance we have created two new sections: “$B^{\pm}/B^0$ Admixture” for $\Upsilon(4S)$ results and “$B^{\pm}/B^0/B_S^0$/b-baryon Admixture” for results at higher energies. Most inclusive decay branching fractions and $\chi_b$ at high energy are found in the Admixture sections. $B^0\bar{B}^0$ mixing data are found in the $B^0$ section, while $B_S^0\bar{B}_S^0$ mixing data and $B\bar{B}$ mixing data for a $B^0/B_S^0$ admixture are found in the $B_S^0$ section. CP-violation data are found in the $B^{\pm}$, $B^0$, and $B^{\pm} B^0$ Admixture sections. b-baryons are found near the end of the Baryon section.

The organization of the B sections is now as follows, where bullets indicate particle sections and brackets indicate reviews.

* $B^{\pm}$

mass, mean life, CP violation, branching fractions
• $B^0$
  mass, mean life, $B^0-\bar{B}^0$ mixing, CP violation,
  branching fractions

• $B^{\pm}/B^0$ Admixtures
  CP violation, branching fractions

• $B^{\pm}/B^0/B_s^0/b$-baryon Admixtures
  mean life, production fractions, branching fractions

• $B^*, B_1(5721), B_2^*(5747), B_J(5970)$
  mass, width

• $B_s^0$
  mass, mean life, $B_s^0-\bar{B}_s^0$ mixing, CP violation,
  branching fractions

• $B_s^*, B_{s1}(5830)^0, B_{s2}^*(5840)^0$
  mass, width

• $B_c^{\pm}$
  mass, mean life, branching fractions

• $B_c(2S)^{\pm}$

mass

At the end of Baryon Listings:

• $\Lambda_b$
  mass, mean life, branching fractions

• $\Lambda_b(5912)^0, \Lambda_b(5920)^0, \Lambda_b(6070)^0, \Lambda_b(6146)^0, \Lambda_b(6152)^0$
  mass, width

• $\Sigma_b$

mass

• $\Sigma_b^*, \Sigma_b(6097)^+, \Sigma_b(6097)^-$
  mass, width

• $\Xi_b^0, \bar{\Xi}_b^-$
  mass, mean life, branching fractions

• $\Xi_b^0(5935)^-, \Xi_b(5945)^0, \Xi_b(5955)^-, \Xi_b(6100)^-, \Xi_b(6227)^-, \Xi_b(6227)^0, \Xi_b(6327)^0, \Xi_b(6333)^0$
  mass, width

• $\Omega_b^-$
  mass, mean life, branching fractions

• $\Omega_b(6316)^-, \Omega_b(6330)^-, \Omega_b(6340)^-, \Omega_b(6350)^-$
  mass

• b-baryon Admixture
  mean life, branching fractions

$B^{\pm}$

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

I, J, P need confirmation. Quantum numbers shown are quark-model predictions.

Mass $m_{B^{\pm}} = 5279.41 \pm 0.07$ MeV

Mean life $\tau_{B^{\pm}} = (1.638 \pm 0.004) \times 10^{-12}$ s

$\tau_C = 491.1$ µm

CP violation

$A_{CP}(B^+ \to J/\psi(1S)K^+) = (1.8 \pm 3.0) \times 10^{-3}$ (S = 1.5)

$A_{CP}(B^+ \to J/\psi(1S)\pi^+) = (1.8 \pm 1.2) \times 10^{-2}$ (S = 1.3)

$A_{CP}(B^+ \to J/\psi\rho^+) = -0.05 \pm 0.05$

$A_{CP}(B^+ \to J/\psi K^*(892)^+) = -0.048 \pm 0.033$

$A_{CP}(B^+ \to \eta_c K^+) = 0.01 \pm 0.07$ (S = 2.2)

$A_{CP}(B^+ \to \psi(2S)\pi^+) = 0.03 \pm 0.06$

$A_{CP}(B^+ \to \psi(2S)K^+) = 0.012 \pm 0.020$ (S = 1.5)

$A_{CP}(B^+ \to \psi(2S)K^*(892)^+) = 0.08 \pm 0.21$

$A_{CP}(B^+ \to \chi_{c1}(1P)\pi^+) = 0.07 \pm 0.18$

$A_{CP}(B^+ \to \chi_{c0} K^+) = -0.20 \pm 0.18$ (S = 1.5)

$A_{CP}(B^+ \to \chi_{c1} K^+) = -0.009 \pm 0.033$

$A_{CP}(B^+ \to \chi_{c1} K^*(892)^+) = 0.5 \pm 0.5$

$A_{CP}(B^+ \to D^0\ell^+\nu_\ell) = (-0.14 \pm 0.20) \times 10^{-2}$

$A_{CP}(B^+ \to D^0\pi^+) = (-3 \pm 5) \times 10^{-3}$

$A_{CP}(B^+ \to D_{CP(1)}\pi^+) = -0.0080 \pm 0.0024$

$A_{CP}(B^+ \to D_{CP(-1)}\pi^+) = 0.017 \pm 0.026$

$A_{CP}([K^\mp\pi^\pm\pi^+\pi^-]_D\pi^+) = 0.070 \pm 0.020$

$A_{CP}(B^+ \to [\pi^+\pi^+\pi^-\pi^-]_D K^+) = 0.061 \pm 0.013$

$A_{CP}(B^+ \to [\pi^+\pi^-\pi^+\pi^-]_D K^*(892)^+) = 0.02 \pm 0.11$

$A_{CP}(B^+ \to [K^+K^-\pi^+\pi^-]_D K^+) = 0.095 \pm 0.023$

$A_{CP}(B^+ \to [K^+K^-\pi^+\pi^-]_D\pi^+) = -0.009 \pm 0.006$

$A_{CP}(B^+ \to D^0 K^+) = -0.017 \pm 0.005$

$A_{CP}([K^\mp\pi^\pm\pi^-]_D K^+) = -0.32 \pm 0.04$

$A_{CP}(B^+ \to [\pi^+\pi^+\pi^-\pi^-]_D\pi^+) = (-8.2 \pm 3.2) \times 10^{-3}$

$A_{CP}(B^+ \to [K^-\pi^+]_D K^+) = -0.58 \pm 0.21$

$A_{CP}(B^+ \to [K^-\pi^+\pi^0]_D K^+) = -0.27 \pm 0.27$ (S = 2.4)

$A_{CP}(B^+ \to [K^+\pi^-\pi^0]_D K^+) = -0.024 \pm 0.013$

$A_{CP}(B^+ \to [K^+K^-\pi^0]_D K^+) = 0.07 \pm 0.07$

$A_{CP}(B^+ \to [\pi^+\pi^-\pi^0]_D K^+) = 0.11 \pm 0.04$

$A_{CP}(B^+ \to D^0 K^*(892)^+) = -0.007 \pm 0.019$

$A_{CP}(B^+ \to [K^-\pi^+]_D K^*(892)^+) = -0.75 \pm 0.16$

$A_{CP}(B^+ \to [K^-\pi^+\pi^-\pi^+]_D K^*(892)^+) = -0.45 \pm 0.25$

$A_{CP}(B^+ \to [K^-\pi^+]_D\pi^+) = 0.00 \pm 0.09$

$A_{CP}(B^+ \to [K^-\pi^+\pi^0]_D\pi^+) = 0.08 \pm 0.09$

$A_{CP}(B^+ \to [K^+K^-\pi^0]_D\pi^+) = -0.001 \pm 0.019$

$A_{CP}(B^+ \to [\pi^+\pi^-\pi^0]_D\pi^+) = 0.001 \pm 0.010$

$A_{CP}(B^+ \to [K^-\pi^+]_{(D\pi)}\pi^+) = -0.09 \pm 0.27$

$A_{CP}(B^+ \to [K^-\pi^+]_{(D\gamma)}\pi^+) = -0.7 \pm 0.6$

$A_{CP}(B^+ \to [K^-\pi^+]_{(D\pi)} K^+) = 0.8 \pm 0.4$

$A_{CP}(B^+ \to [K^-\pi^+]_{(D\gamma)} K^+) = 0.4 \pm 1.0$

$A_{CP}(B^+ \to [\pi^+\pi^-\pi^0]_D K^+) = -0.02 \pm 0.15$

$A_{CP}(B^+ \to [K_S^0 K^+\pi^-]_D K^+) = 0.00 \pm 0.09$ (S = 1.4)

$A_{CP}(B^+ \to [K_S^0 K^-\pi^+]_D K^+) = 0.00 \pm 0.07$

$A_{CP}(B^+ \to [K_S^0 K^-\pi^+]_D\pi^+) = -0.003 \pm 0.014$

$A_{CP}(B^+ \to [K_S^0 K^+\pi^-]_D\pi^+) = -0.016 \pm 0.025$ (S = 1.5)

$A_{CP}(B^+ \to [K^*(892)^- K^+]_D K^+) = 0.08 \pm 0.05$

$A_{CP}(B^+ \to [K^*(892)^+ K^-]_D K^+) = 0.07 \pm 0.09$

$A_{CP}(B^+ \to [K^*(892)^+ K^-]_D\pi^+) = 0.007 \pm 0.016$

$A_{CP}(B^+ \to [K^*(892)^- K^-]_D\pi^+) = -0.013 \pm 0.020$ (S = 1.9)

$A_{CP}(B^+ \to D_{CP(+)1} K^+) = 0.132 \pm 0.015$ (S = 1.8)

$A_{ADS}(B^+ \to D K^+) = -0.451 \pm 0.026$

$A_{ADS}(B^+ \to D\pi^+) = 0.129 \pm 0.014$

$A_{ADS}(B^+ \to D^*(D\gamma)K^+) = -0.6 \pm 1.3$

$A_{ADS}(B^+ \to D^*(D\pi^0)K^+) = 0.72 \pm 0.29$

$A_{ADS}(B^+ \to D^*(D\gamma)\pi^+) = 0.08 \pm 0.13$

$A_{ADS}(B^+ \to D^*(D\pi^0)\pi^+) = -0.14 \pm 0.06$

$A_{ADS}(B^+ \to [K^-\pi^+]_D K^+\pi^-\pi^+) = -0.33 \pm 0.35$

$A_{ADS}(B^+ \to [K^-\pi^+]_D\pi^+\pi^-\pi^+) = -0.01 \pm 0.09$

$A_{CP}(B^+ \to D_{CP(-1)} K^+) = -0.10 \pm 0.07$

$A_{CP}(B^+ \to [K^+K^-]_D K^+\pi^-\pi^+) = -0.04 \pm 0.06$

$A_{CP}(B^+ \to [\pi^+\pi^-]_D K^+\pi^-\pi^+) = -0.05 \pm 0.10$

$A_{CP}(B^+ \to [K^-\pi^+]_D K^+\pi^-\pi^+) = 0.013 \pm 0.023$

$A_{CP}(B^+ \to [K^+K^-]_D\pi^+\pi^-\pi^+) = -0.019 \pm 0.015$

$A_{CP}(B^+ \to [\pi^+\pi^-]_D\pi^+\pi^-\pi^+) = -0.013 \pm 0.019$

$A_{CP}(B^+ \to [K^-\pi^+]_D\pi^+\pi^-\pi^+) = -0.002 \pm 0.011$

$A_{CP}(B^+ \to D^{*0}\pi^+) = -0.0004 \pm 0.0021$ (S = 1.1)

$A_{CP}(B^+ \to D_{CP(+)1}^{*0} \pi^+) = 0.010 \pm 0.007$

$A_{CP}(B^+ \to D_{CP(-1)}^{*0} \pi^+) = -0.09 \pm 0.05$

$A_{CP}(B^+ \to D^{*0}K^+) = 0.012 \pm 0.010$ (S = 1.5)

$A_{CP}(B^+ \to D_{CP(+)1}^{*0} K^+) = -0.09 \pm 0.05$ (S = 2.6)

$A_{CP}(B^+ \to D_{CP(-1)}^{*0} K^+) = 0.07 \pm 0.10$

$A_{CP}(B^+ \to D_{CP(+)1} K^*(892)^+) = 0.08 \pm 0.06$

$A_{CP}(B^+ \to D_{CP(-1)} K^*(892)^+) = -0.23 \pm 0.22$

$A_{CP}(B^+ \to D_S^+\phi) = 0.0 \pm 0.4$

$A_{CP}(B^+ \to D_S^+ D^0) = (0.5 \pm 0.6)\%$

$A_{CP}(B^+ \to D_S^{*+} D^0) = (-0.5 \pm 1.5) \times 10^{-2}$

$A_{CP}(B^+ \to D_S^{+} D^{*0}) = (1.1 \pm 1.1) \times 10^{-2}$

$A_{CP}(B^+ \to D_S^{+} D^{*0}) = (1.3 \pm 2.6) \times 10^{-2}$

$A_{CP}(B^+ \to D^{*+} D^0) = (3.1 \pm 1.7) \times 10^{-2}$

$A_{CP}(B^+ \to D^{+} D^0) = (0.0 \pm 2.4) \times 10^{-2}$

$A_{CP}(B^+ \to D^{+} D^{*0}) = (2.4 \pm 1.1) \times 10^{-2}$

$A_{CP}(B^+ \to K_S^0\pi^+) = -0.003 \pm 0.015$ (S = 1.1)

$A_{CP}(B^+ \to K_S^+\pi^0) = 0.027 \pm 0.012$

$A_{CP}(B^+ \to \eta' K^+) = 0.004 \pm 0.011$

$A_{CP}(B^+ \to \eta' K^*(892)^+) = -0.26 \pm 0.27$

$A_{CP}(B^+ \to \eta' K_S^0(1430)^+) = 0.06 \pm 0.20$
$A_{CP}(B^+ \to \eta' K_2^*(1430)^+) = 0.15 \pm 0.13$
$A_{CP}(B^+ \to \eta K^+)$ = $-0.37 \pm 0.08$
$A_{CP}(B^+ \to \eta K^*(892)^+) = 0.02 \pm 0.06$
$A_{CP}(B^+ \to \eta K_0^*(1430)^+) = 0.05 \pm 0.13$
$A_{CP}(B^+ \to \eta K_2^*(1430)^+) = -0.45 \pm 0.30$
$A_{CP}(B^+ \to \omega K^+) = -0.02 \pm 0.04$
$A_{CP}(B^+ \to \omega K^{*+}) = 0.29 \pm 0.35$
$A_{CP}(B^+ \to \omega(K\pi)_0^{*+}) = -0.10 \pm 0.09$
$A_{CP}(B^+ \to \omega K_2^*(1430)^+) = 0.14 \pm 0.15$
$A_{CP}(B^+ \to K^{*0}\pi^+) = -0.021 \pm 0.032$ (S = 1.5)
$A_{CP}(B^+ \to K^*(892)^+\pi^0) = -0.39 \pm 0.21$ (S = 1.6)
$A_{CP}(B^+ \to K^+\pi^-\pi^-) = 0.015 \pm 0.006$ (S = 1.4)
$A_{CP}(B^+ \to K^+K^-K^+\text{nonresonant}) = 0.06 \pm 0.05$
$A_{CP}(B^+ \to f(980)^0 K^+) = -0.08 \pm 0.09$
$A_{CP}(B^+ \to f_2(1270)K^+) = -0.68^{+0.19}_{-0.17}$
$A_{CP}(B^+ \to f_0(1500)K^+) = 0.28 \pm 0.30$
$A_{CP}(B^+ \to f'_2(1525)^0 K^+) = -0.08^{+0.05}_{-0.04}$
$A_{CP}(B^+ \to \rho^0 K^+) = 0.160 \pm 0.021$
$A_{CP}(B^+ \to K^0\pi^+\pi^0) = 0.07 \pm 0.06$
$A_{CP}(B^+ \to K_0^*(1430)^0\pi^+) = 0.061 \pm 0.032$
$A_{CP}(B^+ \to K_0^*(1430)^+\pi^0) = 0.26^{+0.18}_{-0.14}$
$A_{CP}(B^+ \to K_2^*(1430)^0\pi^+) = 0.05^{+0.29}_{-0.24}$
$A_{CP}(B^+ \to K^+\pi^0\pi^0) = -0.06 \pm 0.07$
$A_{CP}(B^+ \to K^0\rho^+) = -0.03 \pm 0.15$
$A_{CP}(B^+ \to K^{*+}\pi^+\pi^-) = 0.07 \pm 0.08$
$A_{CP}(B^+ \to \rho^0 K^*(892)^+) = 0.31 \pm 0.13$
$A_{CP}(B^+ \to K^*(892)^+f_0(980)) = -0.15 \pm 0.12$
$A_{CP}(B^+ \to a_1^+K^0) = 0.12 \pm 0.11$
$A_{CP}(B^+ \to b_1^+K^0) = -0.03 \pm 0.15$
$A_{CP}(B^+ \to K^*(892)^0\rho^+) = -0.01 \pm 0.16$
$A_{CP}(B^+ \to b_1^0K^+) = -0.46 \pm 0.20$
$A_{CP}(B^+ \to K^0K^+) = 0.04 \pm 0.14$
$A_{CP}(B^+ \to K_0^0K^+) = -0.21 \pm 0.14$
$A_{CP}(B^+ \to K^+K_0^0K_0^0) = 0.025 \pm 0.031$
$A_{CP}(B^+ \to K^+K^-\pi^-) = -0.115 \pm 0.008$
$A_{CP}(B^+ \to K^+K^-\pi^+\text{nonresonant}) = -0.11 \pm 0.06$
$A_{CP}(B^+ \to \pi^+K^+K^-, m_{K^+K^-} < 1.1 \text{ GeV}) = -0.17 \pm 0.07$
$A_{CP}(B^+ \to K^+\bar{R}^*(892)^0) = 0.04 \pm 0.05$
$A_{CP}(B^+ \to K^+\bar{K}_0^*(1430)^0) = 0.10 \pm 0.17$
$A_{CP}(B^+ \to \phi\pi^+) = 0.1 \pm 0.05$
$A_{CP}(B^+ \to \pi^+(K^+K^-)_{S\text{-wave}}) = -0.66 \pm 0.04$
$A_{CP}(B^+ \to K^+K^-K^-) = -0.036 \pm 0.004$
$A_{CP}(B^+ \to \phi K^+) = 0.017 \pm 0.017$ (S = 1.8)
$A_{CP}(B^+ \to X_0(1550)K^+) = -0.04 \pm 0.07$
$A_{CP}(B^+ \to K^{*+}K^+K^-) = 0.11 \pm 0.09$
$A_{CP}(B^+ \to \phi K^*(892)^+) = -0.01 \pm 0.08$
$A_{CP}(B^+ \to \phi(K\pi)_0^{*+}) = 0.04 \pm 0.16$
$A_{CP}(B^+ \to \phi K_1(1270)^+) = 0.15 \pm 0.20$
$A_{CP}(B^+ \to \phi K_2^*(1430)^+) = -0.23 \pm 0.20$
$A_{CP}(B^+ \to K^+\phi\phi) = -0.08 \pm 0.07$
$A_{CP}(B^+ \to K^+[\phi\eta]_{\eta_c}) = 0.10 \pm 0.08$
$A_{CP}(B^+ \to K^*(892)^+\gamma) = 0.014 \pm 0.018$
$A_{CP}(B^+ \to X_5\gamma) = 0.028 \pm 0.019$
$A_{CP}(B^+ \to \eta K^+\gamma) = -0.12 \pm 0.07$
$A_{CP}(B^+ \to \phi K^+\gamma) = -0.13 \pm 0.11$ (S = 1.1)
$A_{CP}(B^+ \to \rho^+\gamma) = -0.11 \pm 0.33$
$A_{CP}(B^+ \to \pi^+\pi^0) = -0.01 \pm 0.04$ (S = 1.1)
$A_{CP}(B^+ \to \pi^+\pi^-\pi^-) = 0.076 \pm 0.008$ (S = 1.5)
$A_{CP}(B^+ \to \pi^+\pi^0\pi^0) = (9 \pm 7) \times 10^{-2}$
$A_{CP}(B^+ \to \rho^0\pi^+) = 0.003 \pm 0.014$
$A_{CP}(B^+ \to f_2(1270)\pi^+) = 0.40 \pm 0.06$
$A_{CP}(B^+ \to \rho^0(1450)\pi^+) = -0.11 \pm 0.05$
$A_{CP}(B^+ \to \rho_3(1690)\pi^+) = -0.80 \pm 0.28$
$A_{CP}(B^+ \to f_0(1370)\pi^+) = 0.72 \pm 0.22$
$A_{CP}(B^+ \to \pi^+\pi^-\pi^+\text{nonresonant}) = -0.14^{+0.23}_{-0.16}$
$A_{CP}(B^+ \to \rho^+\pi^0) = 0.03 \pm 0.10$
$A_{CP}(B^+ \to X\pi^+, X \to \pi^0\pi^0) = 0.18 \pm 0.12$
$A_{CP}(B^+ \to \rho^+\rho^0) = -0.05 \pm 0.05$
$A_{CP}(B^+ \to \omega\pi^+) = -0.04 \pm 0.05$
$A_{CP}(B^+ \to \omega\rho^+) = -0.20 \pm 0.09$
$A_{CP}(B^+ \to \eta\pi^+) = -0.14 \pm 0.07$ (S = 1.4)
$A_{CP}(B^+ \to \eta\rho^+) = 0.11 \pm 0.11$

$A_{CP}(B^+ \to \eta'\pi^+) = 0.06 \pm 0.16$
$A_{CP}(B^+ \to \eta'\rho^+) = 0.26 \pm 0.17$
$A_{CP}(B^+ \to b_1^0\pi^+) = 0.05 \pm 0.16$
$A_{CP}(B^+ \to p\bar{p}\pi^+) = 0.00 \pm 0.04$
$A_{CP}(B^+ \to p\bar{p}K^+) = 0.00 \pm 0.04$ (S = 2.2)
$A_{CP}(B^+ \to p\bar{p}K^*(892)^+) = 0.21 \pm 0.16$ (S = 1.4)
$A_{CP}(B^+ \to p\bar{\Lambda}\gamma) = 0.17 \pm 0.17$
$A_{CP}(B^+ \to p\bar{\Lambda}\pi^0) = 0.01 \pm 0.17$
$A_{CP}(B^+ \to K^+\ell^+\ell^-) = -0.02 \pm 0.08$
$A_{CP}(B^+ \to K^+e^+e^-) = 0.14 \pm 0.14$
$A_{CP}(B^+ \to K^+\mu^+\mu^-) = 0.011 \pm 0.017$
$A_{CP}(B^+ \to \pi^+\mu^+\mu^-) = -0.11 \pm 0.12$
$A_{CP}(B^+ \to K^{*+}\ell^+\ell^-) = -0.09 \pm 0.14$
$A_{CP}(B^+ \to K^+e^+e^-) = -0.14 \pm 0.23$
$A_{CP}(B^+ \to K^+\mu^+\mu^-) = -0.12 \pm 0.24$
$\gamma = (65.9^{+2.9}_{-3.1})^\circ$
$\mathbf{r}_B(B^+ \to D^0K^+) = (9.94 \pm 0.26) \times 10^{-2}$
$\delta_B(B^+ \to D^0K^+) = (127.7^{+3.6}_{-3.9})^\circ$
$\mathbf{r}_B(B^+ \to D^0K^{*+}) = 0.101^{+0.016}_{-0.034}$
$\delta_B(B^+ \to D^0K^{*+}) = (48^{+59}_{-16})^\circ$
$\mathbf{r}_B(B^+ \to D^*0K^+) = 0.104^{+0.013}_{-0.014}$
$\delta_B(B^+ \to D^*0K^+) = (314.8^{+7.9}_{-9.9})^\circ$

$B^-$ modes are charge conjugates of the modes below. Modes which do not identify the charge state of the B are listed in the $B^\pm/B^0$ ADMIXTURE section.

The branching fractions listed below assume 50% $B^0\bar{B}^0$ and 50% $B^+B^-$ production at the T(45). We have attempted to bring older measurements up to date by rescaling their assumed T(45) production ratio to 50:50 and their assumed $D, D_5, D^*, \text{ and } \psi$ branching ratios to current values whenever this would affect our averages and best limits significantly.

Indentation is used to indicate a subchannel of a previous reaction. All resonant subchannels have been corrected for resonance branching fractions to the final state so the sum of the subchannel branching fractions can exceed that of the final state.

For inclusive branching fractions, e.g., $B \to D^\pm X$, the values usually are multiplicities, not branching fractions. They can be greater than one.

<table><thead><tr><th>B<sup>+</sup> DECAY MODES</th><th>Fraction (Γ<sub>f</sub>/Γ)</th><th>Scale factor/ p<br>Confidence level (MeV/c)</th></tr></thead><tbody><tr><td colspan="3"><strong>Semileptonic and leptonic modes</strong></td></tr><tr><td>ℓ<sup>+</sup>ν<sub>ℓ</sub>X</td><td>[hhh] (10.99 ± 0.28) %</td><td>-</td></tr><tr><td>e<sup>+</sup>ν<sub>e</sub>X<sub>c</sub></td><td>(10.8 ± 0.4) %</td><td>-</td></tr><tr><td>ℓ<sup>+</sup>ν<sub>ℓ</sub>X<sub>u</sub></td><td>[hhh] (1.65 ± 0.21) × 10<sup>-3</sup></td><td>-</td></tr><tr><td>Dℓ<sup>+</sup>ν<sub>ℓ</sub>X</td><td>[hhh] (9.5 ± 0.7) %</td><td>-</td></tr><tr><td>D<sup>0</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (2.21 ± 0.06) %</td><td>2310</td></tr><tr><td>D<sup>0</sup>τ<sup>+</sup>ν<sub>τ</sub></td><td>(7.7 ± 2.5) × 10<sup>-3</sup></td><td>1911</td></tr><tr><td>D<sup>*</sup>(2007)<sup>0</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (5.53 ± 0.22) %</td><td>2258</td></tr><tr><td>D<sup>*</sup>(2007)<sup>0</sup>τ<sup>+</sup>ν<sub>τ</sub></td><td>(1.88 ± 0.20) %</td><td>1839</td></tr><tr><td>D<sup>*</sup> nπℓ<sup>+</sup>ν<sub>ℓ</sub> (n ≥ 1)</td><td>[hhh] (1.83 ± 0.25) %</td><td>-</td></tr><tr><td>D<sup>-</sup>π<sup>+</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (3.82 ± 0.20) × 10<sup>-3</sup></td><td>2306</td></tr><tr><td>D<sub>2</sub><sup>-</sup>(2460)<sup>0</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (1.59 ± 0.10) × 10<sup>-3</sup></td><td>2065</td></tr><tr><td>D<sup>-</sup><sub>2</sub><sup>0</sup> → D<sup>-</sup>π<sup>+</sup></td><td>[hhh] (9 ± 5) × 10<sup>-4</sup></td><td>S=2.6</td></tr><tr><td>D<sup>-</sup><sup>*</sup>π<sup>+</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (5.42 ± 0.28) × 10<sup>-3</sup></td><td>2254</td></tr><tr><td>D<sub>1</sub><sup>-</sup>(2420)<sup>0</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub>, D<sub>1</sub><sup>0</sup> → [hhh] (2.84 ± 0.17) × 10<sup>-3</sup></td><td>S=1.1</td><td>2084</td></tr><tr><td>D<sup>-</sup><sub>1</sub><sup>0</sup> → [hhh] (1.7 ± 0.6) × 10<sup>-3</sup></td><td>S=1.8</td><td>-</td></tr><tr><td>D<sup>-</sup><sup>*</sup>π<sup>+</sup></td><td>[hhh] (1.06 ± 0.18) × 10<sup>-3</sup></td><td>S=1.7</td><td>2065</td></tr><tr><td>D<sub>2</sub><sup>-</sup>(2460)<sup>0</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub>, D<sub>2</sub><sup>0</sup> → D<sup>-</sup>π<sup>+</sup></td><td>[hhh] (1.73 ± 0.19) × 10<sup>-3</sup></td><td>2301</td></tr><tr><td>D<sup>0</sup>π<sup>+</sup>π<sup>+</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub>, D<sub>1</sub><sup>-</sup>(2420)<sup>0</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub>, D<sub>1</sub><sup>0</sup> → [hhh] (1.05 ± 0.14) × 10<sup>-3</sup></td><td>[hhh] (7.0 ± 1.7) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>D<sup>0</sup><sup>*</sup>π<sup>+</sup>π<sup>-</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (6.1 ± 1.0) × 10<sup>-4</sup></td><td>-</td></tr><tr><td>D<sup>-</sup><sub>5</sub><sup>-</sup> K<sup>+</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (3.0 ± 1.2) × 10<sup>-4</sup></td><td>2242</td></tr><tr><td>D<sup>-</sup><sub>5</sub><sup>0</sup> K<sup>+</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (2.9 ± 1.9) × 10<sup>-4</sup></td><td>2185</td></tr><tr><td>π<sup>0</sup>ℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (7.80 ± 0.27) × 10<sup>-5</sup></td><td>2638</td></tr><tr><td>ηℓ<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (3.5 ± 0.4) × 10<sup>-5</sup></td><td>2611</td></tr><tr><td>ηℓ'<sup>+</sup>ν<sub>ℓ</sub></td><td>[hhh] (2.4 ± 0.7) × 10<sup>-5</sup></td><td>2553</td></tr></tbody></table>