## $\Gamma(p\bar{e})/\Gamma_{\text{total}}$

$\Gamma_{68}/\Gamma$

Test of baryon number and lepton number conservations. Charge conjugate states are implied.

<table><thead><tr><th>VALUE</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;1.8 x 10<sup>-6</sup></td><td>95</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1</td><td>ABBIENDI</td><td>99i OPAL $E_{cm}^{ee} = 88-94$ GeV</td></tr></tbody></table>

¹ ABBIENDI 99i give the 95%CL limit on the partial width $\Gamma(Z^0 \to p\bar{e})< 4.6$ KeV and we have transformed it into a branching ratio.

## $\Gamma(p\mu^-)/\Gamma_{\text{total}}$

$\Gamma_{69}/\Gamma$

Test of baryon number and lepton number conservations. Charge conjugate states are implied.

<table><thead><tr><th>VALUE</th><th>CL%</th></tr></thead><tbody><tr><td>&lt;1.8 x 10<sup>-6</sup></td><td>95</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1</td><td>ABBIENDI</td><td>99i OPAL $E_{cm}^{ee} = 88-94$ GeV</td></tr></tbody></table>

¹ ABBIENDI 99i give the 95%CL limit on the partial width $\Gamma(Z^0 \to p\mu^-)< 4.4$ KeV and we have transformed it into a branching ratio.

## AVERAGE PARTICLE MULTIPLICITIES IN HADRONIC Z DECAY

Summed over particle and antiparticle, when appropriate.

### $\langle N_\eta \rangle$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>20.97±0.02±1.15</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ACKERSTAFF</td><td>98A OPAL</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

### $\langle N_\pi^\pm \rangle$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>17.03 ±0.16</td></tr></tbody></table>

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

<table><tbody><tr><td>17.007 ± 0.209</td></tr><tr><td>17.26 ± 0.10 ± 0.88</td></tr><tr><td>17.04 ± 0.31</td></tr><tr><td>17.05 ± 0.43</td></tr></tbody></table>

<table><tbody><tr><td>ABE</td><td>04C SLD</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ABREU</td><td>98L DLPH</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>BARATE</td><td>98V ALEP</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>AKERS</td><td>94P OPAL</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

### $\langle N_{\rho^0} \rangle$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>9.76±0.26</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ACKERSTAFF</td><td>98A OPAL</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

<table><tbody><tr><td>9.55±0.06±0.75</td></tr><tr><td>9.63±0.13±0.63</td></tr><tr><td>9.90±0.02±0.33</td></tr><tr><td>9.2 ± 0.2 ± 1.0</td></tr></tbody></table>

<table><tbody><tr><td>BARATE</td><td>97J ALEP</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ACCIARRI</td><td>96 L3</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ADAM</td><td>96 DLPH</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

### $\langle N_\eta \rangle$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>1.01±0.08</td></tr></tbody></table>

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

<table><tbody><tr><td>1.20±0.04±0.11</td></tr><tr><td>0.97±0.03±0.11</td></tr><tr><td>0.93±0.01±0.09</td></tr></tbody></table>

Error includes scale factor of 1.3. See the ideogram below.

<table><tbody><tr><td>HEISTER</td><td>02C ALEP</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ACKERSTAFF</td><td>98A OPAL</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ACCIARRI</td><td>96 L3</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

WEIGHTED AVERAGE
1.01±0.08 (Error scaled by 1.3)

<figure><img src="image_401.png" /></figure>

### $\langle N_{\rho^0} \rangle$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>2.57±0.15</td></tr></tbody></table>

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

<table><tbody><tr><td>2.59±0.03±0.16</td></tr><tr><td>2.40±0.06±0.43</td></tr></tbody></table>

<table><tbody><tr><td>1</td><td>BEDDALL</td><td>09 ALEPH archive, $E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td></td><td>ACKERSTAFF</td><td>98A OPAL $E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

¹ BEDDALL 09 analyse 3.2 million hadronic Z decays as archived by ALEPH collaboration and report a value of 2.59 ± 0.03 ± 0.15 ± 0.04. The first error is statistical, the second systematic, and the third arises from extrapolation to full phase space. We combine the systematic errors in quadrature.

### $\langle N_{\rho^0} \rangle$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>1.24±0.10</td></tr></tbody></table>

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

<table><tbody><tr><td>1.19±0.10</td></tr><tr><td>1.45±0.06±0.20</td></tr></tbody></table>

<table><tbody><tr><td>ABREU</td><td>99J DLPH</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>BUSKULIC</td><td>96H ALEP</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

### $\langle N_\mu \rangle$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>1.02±0.06</td></tr></tbody></table>

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

<table><tbody><tr><td>1.00±0.03±0.06</td></tr><tr><td>1.04±0.04±0.14</td></tr><tr><td>1.17±0.09±0.15</td></tr></tbody></table>

<table><tbody><tr><td>HEISTER</td><td>02C ALEP</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ACKERSTAFF</td><td>98A OPAL</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ACCIARRI</td><td>97D L3</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

### $\langle N_\mu^- \rangle$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>0.17±0.05</td></tr></tbody></table>

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

<table><tbody><tr><td>0.14 ± 0.01 ± 0.02</td></tr><tr><td>0.25 ± 0.04</td></tr></tbody></table>

<table><tbody><tr><td>ACKERSTAFF</td><td>98A OPAL</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>1</td><td>ACCIARRI</td><td>97D L3</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

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

<table><tbody><tr><td>0.068±0.018±0.016</td></tr></tbody></table>

<table><tbody><tr><td>2</td><td>BUSKULIC</td><td>92D ALEP</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

¹ ACCIARRI 97D obtain this value averaging over the two decay channels $\eta' \to \pi^+\pi^-\eta$ and $\eta' \to \rho^0\gamma$.

² BUSKULIC 92D obtain this value for $x> 0.1$.

### $\langle N_\phi \rangle_{(980)}$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>0.147±0.011</td></tr></tbody></table>

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

<table><tbody><tr><td>0.164±0.021</td></tr><tr><td>0.141±0.007±0.011</td></tr></tbody></table>

<table><tbody><tr><td>ABREU</td><td>99J DLPH</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ACKERSTAFF</td><td>98Q OPAL</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

### $\langle N_{\phi 0} \rangle_{(980)\pm}$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>0.27±0.04±0.10</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ACKERSTAFF</td><td>98A OPAL</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

### $\langle N_\phi \rangle$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>0.098±0.006</td></tr></tbody></table>

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

<table><tbody><tr><td>0.105±0.008</td></tr><tr><td>0.091±0.002±0.003</td></tr><tr><td>0.104±0.003±0.007</td></tr><tr><td>0.122±0.004±0.008</td></tr></tbody></table>

<table><tbody><tr><td>ABE</td><td>99E SLD</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ACKERSTAFF</td><td>98Q OPAL</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ABREU</td><td>96U DLPH</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>BUSKULIC</td><td>96H ALEP</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

WEIGHTED AVERAGE
0.098±0.006 (Error scaled by 2.0)

<figure><img src="image_402.png" /></figure>

### $\langle N_{\phi 2} \rangle_{(1270)}$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>0.169±0.025</td></tr></tbody></table>

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

<table><tbody><tr><td>0.214±0.038</td></tr><tr><td>0.155±0.011±0.018</td></tr></tbody></table>

<table><tbody><tr><td>ABREU</td><td>99J DLPH</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr><tr><td>ACKERSTAFF</td><td>98Q OPAL</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

### $\langle N_{\phi 1} \rangle_{(1285)}$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>0.165±0.051</td></tr></tbody></table>

<table><tbody><tr><td>1</td><td>ABDALLAH</td><td>03H DLPH</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

¹ ABDALLAH 03H assume a $\kappa R\pi$ branching ratio of (9.0 ± 0.4)%.

### $\langle N_{\phi 1} \rangle_{(1420)}$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>0.056±0.012</td></tr></tbody></table>

<table><tbody><tr><td>1</td><td>ABDALLAH</td><td>03H DLPH</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>

¹ ABDALLAH 03H assume a $\kappa R\pi$ branching ratio of 100%.

### $\langle N_{\phi 2} \rangle_{(1525)}$

<table><thead><tr><th>VALUE</th></tr></thead><tbody><tr><td>0.012±0.006</td></tr></tbody></table>

<table><tbody><tr><td>ABREU</td><td>99J DLPH</td><td>$E_{cm}^{ee} = 91.2$ GeV</td></tr></tbody></table>
$\langle N_{K^{\pm}} \rangle$

**VALUE**
**2.24 ±0.04** OUR AVERAGE

2.203 ±0.071

2.21 ±0.05 ±0.05

2.26 ±0.12

2.42 ±0.13

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ABE</td><td>04C</td><td>E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ABREU</td><td>98L</td><td>E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>BARATE</td><td>98V</td><td>E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>AKERS</td><td>94P</td><td>E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

$\langle N_{K^0} \rangle$

**VALUE**
**2.039 ±0.025** OUR AVERAGE

2.093 ±0.004 ±0.029

2.01 ±0.08

2.024 ±0.006 ±0.042

1.962 ±0.022 ±0.056

1.99 ±0.01 ±0.04

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>BARATE</td><td>000</td><td>E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ABE</td><td>99E</td><td>E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ACCIARRI</td><td>97L</td><td>E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ABREU</td><td>95L</td><td>E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>AKERS</td><td>95U</td><td>E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

WEIGHTED AVERAGE
2.039±0.025 (Error scaled by 1.3)

<figure><img src="image_403.png" /></figure>

$\langle N_{K^0} \rangle$

$\langle N_{K^*}(892)^{\pm} \rangle$

**VALUE**
**0.72 ±0.05** OUR AVERAGE

0.712 ±0.031 ±0.059

0.72 ±0.02 ±0.08

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ABREU</td><td>95L</td><td>DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ACTON</td><td>93</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

$\langle N_{K^*}(892)^0 \rangle$

**VALUE**
**0.739 ±0.022** OUR AVERAGE

0.707 ±0.041

0.74 ±0.02 ±0.02

0.77 ±0.02 ±0.07

0.83 ±0.01 ±0.09

0.97 ±0.18 ±0.31

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ABE</td><td>99E</td><td>E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ACKERSTAFF</td><td>97S</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ABREU</td><td>96U</td><td>DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>BUSKULIC</td><td>96H</td><td>Alep E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ABREU</td><td>93</td><td>DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

$\langle N_{K_2^0}(1430) \rangle$

**VALUE**
**0.073 ±0.023**

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

0.19 ±0.04 ±0.06

1 AKERS 95x OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

1 AKERS 95x obtain this value for $x< 0.3$.

$\langle N_{D^{\pm}} \rangle$

**VALUE**
**0.187 ±0.020** OUR AVERAGE

0.170 ±0.009 ±0.014

0.251 ±0.026 ±0.025

0.199 ±0.019 ±0.024

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ALEXANDER</td><td>96R</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>BUSKULIC</td><td>94J</td><td>Alep E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>1 ABREU</td><td>93I</td><td>DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

WEIGHTED AVERAGE
0.187±0.020 (Error scaled by 1.5)

<figure><img src="image_404.png" /></figure>

$\langle N_{D^{\pm}} \rangle$

1 See ABREU 95 (erratum).

$\langle N_{D^0} \rangle$

**VALUE**
**0.462 ±0.026** OUR AVERAGE

0.465 ±0.017 ±0.027

0.518 ±0.052 ±0.035

0.403 ±0.038 ±0.044

1 See ABREU 95 (erratum).

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ALEXANDER</td><td>96R</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>BUSKULIC</td><td>94J</td><td>Alep E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>1 ABREU</td><td>93I</td><td>DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

$\langle N_{D_s^+} \rangle$

**VALUE**
**0.131 ±0.010 ±0.018**

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ALEXANDER</td><td>96R</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

$\langle N_{D^*}(2010)^{\pm} \rangle$

**VALUE**
**0.183 ±0.008** OUR AVERAGE

0.1854 ±0.0041 ±0.0091

0.187 ±0.015 ±0.013

0.171 ±0.012 ±0.016

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ACKERSTAFF</td><td>98E</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>BUSKULIC</td><td>94J</td><td>Alep E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>2 ABREU</td><td>93I</td><td>DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

1 ACKERSTAFF 98E systematic error includes an uncertainty of ±0.0069 due to the branching ratios $B(D^{*+} \to D^0\pi^+) = 0.683 \pm 0.014$ and $B(D^0 \to K^-\pi^+) = 0.0383 \pm 0.0012$.

2 See ABREU 95 (erratum).

$\langle N_{D_{S1}(2536)^+} \rangle$

**VALUE** (units $10^{-3}$)

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

2.9 $+0.7$ $-0.6 \pm 0.2$

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

1 ACKERSTAFF 97W OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

1 ACKERSTAFF 97W obtain this value for $x> 0.6$ and with the assumption that its decay width is saturated by the $D^*K$ final states.

$\langle N_B \rangle$

**VALUE**
**0.28 ±0.01 ±0.03**

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1 ABREU</td><td>95R</td><td>DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

1 ABREU 95R quote this value for a flavor-averaged excited state.

$\langle N_J/\psi(15) \rangle$

**VALUE**
**0.0056 ±0.0003 ±0.0004**

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1 ALEXANDER</td><td>96B</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

1 ALEXANDER 96B identify $J/\psi(15)$ from the decays into lepton pairs.

$\langle N_{\psi(25)} \rangle$

**VALUE**
**0.0023 ±0.0004 ±0.0003**

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ALEXANDER</td><td>96B</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

$\langle N_p \rangle$

**VALUE**
**1.046 ±0.026** OUR AVERAGE

1.054 ±0.035

1.08 ±0.04 ±0.03

1.00 ±0.07

0.92 ±0.11

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ABE</td><td>04C</td><td>SLD E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ABREU</td><td>98L</td><td>DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>BARATE</td><td>98V</td><td>Alep E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>AKERS</td><td>94P</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

$\langle N_D(1232)^{++} \rangle$

**VALUE**
**0.067 ±0.033** OUR AVERAGE

0.079 ±0.009 ±0.011

0.22 ±0.04 ±0.04

Error includes scale factor of 2.4.

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ABREU</td><td>95W</td><td>DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ALEXANDER</td><td>95D</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

$\langle N_A \rangle$

**VALUE**
**0.388 ±0.009** OUR AVERAGE

0.404 ±0.002 ±0.007

0.395 ±0.022

0.364 ±0.004 ±0.017

0.374 ±0.002 ±0.010

0.357 ±0.003 ±0.017

Error includes scale factor of 1.7.

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>BARATE</td><td>000</td><td>Alep E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ABE</td><td>99E</td><td>SLD E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ACCIARRI</td><td>97L</td><td>L3 E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ALEXANDER</td><td>97D</td><td>OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr><tr><td>ABREU</td><td>93L</td><td>DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV</td></tr></tbody></table>

WEIGHTED AVERAGE
0.388±0.009 (Error scaled by 1.7)

<figure><img src="image_405.png" /></figure>

$\langle N_A \rangle$
⟨N<sub>A</sub>(1520)⟩

VALUE
**0.0224 ± 0.0027** OUR AVERAGE

0.029 ± 0.005 ± 0.005

0.0213 ± 0.0021 ± 0.0019

DOCUMENT ID TECN COMMENT

ABREU 00P DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ALEXANDER 97D OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Σ+</sub>⟩

VALUE
**0.107 ± 0.010** OUR AVERAGE

0.114 ± 0.011 ± 0.009

0.099 ± 0.008 ± 0.013

DOCUMENT ID TECN COMMENT

ACCIARRI 00J L3 E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ALEXANDER 97E OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Σ−</sub>⟩

VALUE
**0.082 ± 0.007** OUR AVERAGE

0.081 ± 0.002 ± 0.010

0.083 ± 0.006 ± 0.009

DOCUMENT ID TECN COMMENT

ABREU 00P DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ALEXANDER 97E OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Σ+</sub>+Σ<sub>−</sub>⟩

VALUE
**0.181 ± 0.018** OUR AVERAGE

0.182 ± 0.010 ± 0.016

0.170 ± 0.014 ± 0.061

DOCUMENT ID TECN COMMENT

1 ALEXANDER 97E OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ABREU 95O DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

¹ We have combined the values of ⟨N<sub>Σ+</sub>⟩ and ⟨N<sub>Σ−</sub>⟩ from ALEXANDER 97E adding the statistical and systematic errors of the two final states separately in quadrature. If isospin symmetry is assumed this value becomes 0.174 ± 0.010 ± 0.015.

⟨N<sub>Σ0</sub>⟩

VALUE
**0.076 ± 0.010** OUR AVERAGE

0.095 ± 0.015 ± 0.013

0.071 ± 0.012 ± 0.013

0.070 ± 0.010 ± 0.010

DOCUMENT ID TECN COMMENT

ACCIARRI 00J L3 E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ALEXANDER 97E OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ADAM 96B DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Σ+</sub>+Σ<sub>−</sub>+Σ<sup>0</sup>/3⟩

VALUE
**0.084 ± 0.005 ± 0.008**

DOCUMENT ID TECN COMMENT

ALEXANDER 97E OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Σ</sub>(1385)+⟩

VALUE
**0.0239 ± 0.0009 ± 0.0012**

DOCUMENT ID TECN COMMENT

ALEXANDER 97D OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Σ</sub>(1385)−⟩

VALUE
**0.0240 ± 0.0010 ± 0.0014**

DOCUMENT ID TECN COMMENT

ALEXANDER 97D OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Σ</sub>(1385)+Σ<sub>−</sub>(1385)−⟩

VALUE
**0.046 ± 0.004** OUR AVERAGE

0.0479 ± 0.0013 ± 0.0026

0.0382 ± 0.0028 ± 0.0045

DOCUMENT ID TECN COMMENT

ALEXANDER 97D OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ABREU 95O DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Σ</sub>−⟩

VALUE
**0.0258 ± 0.0009** OUR AVERAGE

0.0247 ± 0.0009 ± 0.0025

0.0259 ± 0.0004 ± 0.0009

DOCUMENT ID TECN COMMENT

ABDALLAH 06E DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ALEXANDER 97D OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Σ</sub>(1530)0⟩

VALUE
**0.0059 ± 0.0011** OUR AVERAGE

0.0045 ± 0.0005 ± 0.0006

0.0068 ± 0.0005 ± 0.0004

DOCUMENT ID TECN COMMENT

ABDALLAH 05C DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ALEXANDER 97D OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Ω</sub>−⟩

VALUE
**0.00164 ± 0.00028** OUR AVERAGE

0.0018 ± 0.0003 ± 0.0002

0.0014 ± 0.0002 ± 0.0004

DOCUMENT ID TECN COMMENT

ALEXANDER 97D OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ADAM 96B DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>Λ</sub><sup>+</sup>⟩

VALUE
**0.078 ± 0.012 ± 0.012**

DOCUMENT ID TECN COMMENT

ALEXANDER 96R OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

⟨N<sub>D</sub>⟩

VALUE (units 10<sup>−6</sup>)

DOCUMENT ID TECN COMMENT

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

5.9 ± 1.8 ± 0.5

1 SCHAEL 06A ALEP E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

¹ SCHAEL 06A obtain this anti-deuteron production rate per hadronic Z decay in the anti-deuteron momentum range from 0.62 to 1.03 GeV/c.

⟨N<sub>charged</sub>⟩

VALUE
**20.76 ± 0.16** OUR AVERAGE

20.46 ± 0.01 ± 0.11

21.21 ± 0.01 ± 0.20

21.05 ± 0.20

20.91 ± 0.03 ± 0.22

21.40 ± 0.43

20.71 ± 0.04 ± 0.77

20.7 ± 0.7

20.1 ± 1.0 ± 0.9

DOCUMENT ID TECN COMMENT

ACHARD 03G L3 E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ABREU 99 DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

AKERS 95Z OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

BUSKULIC 95R ALEP E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ACTON 92B OPAL E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ABREU 91H DLPH E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ADEVA 91I L3 E<sup>ee</sup><sub>cm</sub> = 91.2 GeV

ABRAMS 90 MRK2 E<sup>ee</sup><sub>cm</sub> = 91.1 GeV

Error includes scale factor of 2.1. See the ideogram below.

<figure><img src="image_406.png" /><figcaption>WEIGHTED AVERAGE
20.76±0.16 (Error scaled by 2.1)</figcaption></figure>

(Confidence Level = 0.0018)

⟨N<sub>charged</sub>⟩

Z HADRONIC POLE CROSS SECTION

OUR EVALUATION is obtained using the fit procedure and correlations as determined by the LEP Electroweak Working Group (see the note "The Z boson" and ref. LEP-SLC 06). Corrections as discussed in VOUTSINAS 20 and JANOT 20 are also included. This quantity is defined as

$$ \sigma_h^0 = \frac{12\pi}{M_Z^2} \frac{\Gamma(e^+e^-)\Gamma(\text{hadrons})}{\Gamma_Z^2} $$

It is one of the parameters used in the Z lineshape fit.

VALUE (nb) EVTS DOCUMENT ID TECN COMMENT

41.4802 ± 0.0325 OUR EVALUATION

41.4802 ± 0.0325 ¹ JANOT 20

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

41.500 ± 0.037 ² VOUTSINAS 20

41.541 ± 0.037 LEP-SLC 06 E<sup>ee</sup><sub>cm</sub> = 88-94 GeV

41.501 ± 0.055 ³ ABBIENDI 01A OPAL E<sup>ee</sup><sub>cm</sub> = 88-94 GeV

41.578 ± 0.069 3.70M ABREU 00F DLPH E<sup>ee</sup><sub>cm</sub> = 88-94 GeV

41.535 ± 0.055 3.54M ACCIARRI 00C L3 E<sup>ee</sup><sub>cm</sub> = 88-94 GeV

41.559 ± 0.058 4.07M ⁴ BARATE 00C ALEP E<sup>ee</sup><sub>cm</sub> = 88-94 GeV

42 ± 4 ABRAMS 89B MRK2 E<sup>ee</sup><sub>cm</sub> = 89.2-93.0 GeV

¹ JANOT 20 applies a correction to LEP-SLC 06 using an updated Bhabha cross section calculation. This result also includes a correction to account for correlated luminosity bias as presented in VOUTSINAS 20.

² VOUTSINAS 20 applies a correction to LEP-SLC 06 to account for correlated luminosity bias.

³ ABBIENDI 01A error includes approximately 0.031 due to statistics, 0.033 due to event selection systematics, 0.029 due to uncertainty in luminosity measurement, and 0.011 due to LEP energy uncertainty.

⁴ BARATE 00C error includes approximately 0.030 due to statistics, 0.026 due to experimental systematics, and 0.025 due to uncertainty in luminosity measurement.

Z VECTOR COUPLINGS

These quantities are the effective vector couplings of the Z to charged leptons and quarks. Their magnitude is derived from a measurement of the Z lineshape and the forward-backward lepton asymmetries as a function of energy around the Z mass. The relative sign among the vector to axial-vector couplings is obtained from a measurement of the Z asymmetry parameters, $A_e$, $A_\mu$, and $A_\tau$. By convention the sign of $g^\mu_A$ is fixed to be negative (and opposite to that of $g^\nu_e$ obtained using $\nu_e$ scattering measurements). For the light quarks, the sign of the couplings is assigned consistently with this assumption. The LEP/SLD-based fit values quoted below correspond to global nine- or five-parameter fits to lineshape, lepton forward-backward asymmetry, and $A_e$, $A_\mu$, and $A_\tau$ measurements. See the note "The Z boson" and ref. LEP-SLC 06 for details. Where $p\bar{p}$ and $e^+e^-$ data is quoted, OUR FIT value corresponds to a weighted average of this with the LEP/SLD fit result.
<table><thead><tr><th>g<sup>e</sup><sub>V</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.03817±0.00047</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>-0.058 ±0.016 ±0.007</td><td>5026</td><td>1</td><td>ACOSTA</td><td>05M CDF E<sup>pP</sup><sub>cm</sub>=1.96 TeV</td></tr><tr><td>-0.0346 ±0.0023</td><td>137.0k</td><td>2</td><td>ABBIENDI</td><td>01O OPAL E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.0412 ±0.0027</td><td>124.4k</td><td>3</td><td>ACCIARRI</td><td>00C L3 E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.0400 ±0.0037</td><td></td><td></td><td>BARATE</td><td>00C ALEP E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.0414 ±0.0020</td><td></td><td>4</td><td>ABE</td><td>95J SLD E<sup>ee</sup><sub>cm</sub>=91.31 GeV</td></tr></tbody></table>

1. ACOSTA 05M determine the forward-backward asymmetry of $e^+e^-$ pairs produced via $q\bar{q} \to Z/\gamma^* \to e^+e^-$ in 15 M($e^+e^-$) effective mass bins ranging from 40 GeV to 600 GeV. These results are used to obtain the vector and axial-vector couplings of the Z to $e^+e^-$, assuming the quark couplings are as predicted by the standard model. Higher order radiative corrections have not been taken into account.

2. ABBIENDI 01O use their measurement of the $\tau$ polarization in addition to the lineshape and forward-backward lepton asymmetries.

3. ACCIARRI 00C use their measurement of the $\tau$ polarization in addition to forward-backward lepton asymmetries.

4. ABE 95J obtain this result combining polarized Bhabha results with the $A_{LR}$ measurement of ABE 94C. The Bhabha results alone give $-0.0507 \pm 0.0096 \pm 0.0020$.

<table><thead><tr><th>g<sup>μ</sup><sub>V</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.0367±0.0023</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>-0.0388<sup>+0.0060</sup><sub>-0.0064</sub></td><td>182.8k</td><td>1</td><td>ABBIENDI</td><td>01O OPAL E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.0386±0.0073</td><td>113.4k</td><td>2</td><td>ACCIARRI</td><td>00C L3 E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.0362±0.0061</td><td></td><td></td><td>BARATE</td><td>00C ALEP E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr></tbody></table>

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

1. -0.0413±0.0060 66143 3 ABBIENDI 01K OPAL E<sup>ee</sup><sub>cm</sub>=89-93 GeV

2. ACCIARRI 00C use their measurement of the $\tau$ polarization in addition to the lineshape and forward-backward lepton asymmetries.

3. ABBIENDI 01K obtain this from an angular analysis of the muon pair asymmetry which takes into account effects of initial state radiation on an event by event basis and of initial-final state interference.

<table><thead><tr><th>g<sup>τ</sup><sub>V</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.0366±0.0010</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>-0.0365±0.0023</td><td>151.5k</td><td>1</td><td>ABBIENDI</td><td>01O OPAL E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.0384±0.0026</td><td>103.0k</td><td>2</td><td>ACCIARRI</td><td>00C L3 E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.0361±0.0068</td><td></td><td></td><td>BARATE</td><td>00C ALEP E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr></tbody></table>

1. ABBIENDI 01O use their measurement of the $\tau$ polarization in addition to the lineshape and forward-backward lepton asymmetries.

2. ACCIARRI 00C use their measurement of the $\tau$ polarization in addition to forward-backward lepton asymmetries.

<table><thead><tr><th>g<sup>μ</sup><sub>V</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.03783±0.00041</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>-0.0358 ±0.0014</td><td>471.3k</td><td>1</td><td>ABBIENDI</td><td>01O OPAL E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.0397 ±0.0020</td><td>379.4k</td><td>2</td><td>ABREU</td><td>00F DLPH E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.0397 ±0.0017</td><td>340.8k</td><td>3</td><td>ACCIARRI</td><td>00C L3 E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.0383 ±0.0018</td><td>500k</td><td></td><td>BARATE</td><td>00C ALEP E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr></tbody></table>

1. ABBIENDI 01O use their measurement of the $\tau$ polarization in addition to the lineshape and forward-backward lepton asymmetries.

2. Using forward-backward lepton asymmetries.

3. ACCIARRI 00C use their measurement of the $\tau$ polarization in addition to forward-backward lepton asymmetries.

<table><thead><tr><th>g<sup>μ</sup><sub>V</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.266±0.034</td><td>AVERAGE</td><td></td><td></td><td></td></tr><tr><td>0.270±0.037</td><td></td><td>1</td><td>ANDREEV</td><td>18A H1 e<sup>±</sup><sub>p</sub> E<sup>pP</sup><sub>cm</sub>=1.97 TeV</td></tr><tr><td>0.201±0.112</td><td>156k</td><td>2</td><td>ABAZOV</td><td>11D D0</td></tr><tr><td>0.24<sup>+0.28</sup><sub>-0.11</sub></td><td></td><td>3</td><td>LEP-SLC</td><td>06 E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>0.399<sup>+0.152</sup><sub>-0.188</sub></td><td>5026</td><td>4</td><td>ACOSTA</td><td>05M CDF E<sup>pP</sup><sub>cm</sub>=1.96 TeV</td></tr></tbody></table>

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

0.14<sup>+0.09</sup><sub>-0.09</sub> 5 ABRAMOWICZ16A ZEUS

0.144<sup>+0.066</sup><sub>-0.058</sub> 6 ABT 16

0.27 ±0.13 1500 7 AKTAS 06 H1 e<sup>±</sup><sub>p</sub> → ν<sub>e</sub>(ν<sub>e</sub>)X, √s ≈ 300 GeV

1. ANDREEV 18A obtain this result in a combined electroweak and QCD analysis using all deep-inelastic $e^+p$ and $e^-p$ neutral current and charged current scattering cross sections published by the H1 Collaboration, including data with longitudinally polarized lepton beams.

2. ABAZOV 11D study $p\bar{p} \to Z/\gamma^*e^+e^-$ events using 5 fb⁻¹ data at $\sqrt{s}$ = 1.96 TeV. The candidate events are selected by requiring two isolated electromagnetic showers with $E_T > 25$ GeV, at least one electron in the central region and the di-electron mass in the range 50-1000 GeV. From the forward-backward asymmetry, determined as a function of

the di-electron mass, they derive the axial and vector couplings of the u- and d-quarks and the value of $\sin^2\theta_{eff} = 0.2309 \pm 0.0008(\text{stat}) \pm 0.0006(\text{syst})$.

3. LEP-SLC 06 is a combination of the results from LEP and SLC experiments using light quark tagging. s- and d-quark couplings are assumed to be identical.

4. ACOSTA 05M determine the forward-backward asymmetry of $e^+e^-$ pairs produced via $q\bar{q} \to Z/\gamma^* \to e^+e^-$ in 15 M($e^+e^-$) effective mass bins ranging from 40 GeV to 600 GeV. These results are used to obtain the vector and axial-vector couplings of the Z to the light quarks, assuming the electron couplings are as predicted by the Standard Model. Higher order radiative corrections have not been taken into account.

5. ABRAMOWICZ 16A determine the $Z^0$ couplings to u- and d-quarks using the ZEUS polarised data from Run II together with the unpolarised data from both ZEUS and H1 Collaborations for Run I and unpolarised H1 data from Run II.

6. ABT 16 determine the $Z^0$ couplings to u- and d-quarks using the same techniques and data as ABRAMOWICZ 16A but additionally use the published H1 polarised data.

7. AKTAS 06 fit the neutral current ($1.5 \le Q^2 \le 30,000 \text{ GeV}^2$) and charged current ($1.5 \le Q^2 \le 15,000 \text{ GeV}^2$) differential cross sections. In the determination of the u-quark couplings the electron and d-quark couplings are fixed to their standard model values.

<table><thead><tr><th>g<sup>d</sup><sub>V</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.38<sup>+0.04</sup><sub>-0.05</sub></td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>-0.488 ±0.092</td><td></td><td>1</td><td>ANDREEV</td><td>18A H1 e<sup>±</sup><sub>p</sub> E<sup>pP</sup><sub>cm</sub>=1.97 TeV</td></tr><tr><td>-0.351 ±0.251</td><td>156k</td><td>2</td><td>ABAZOV</td><td>11D D0</td></tr><tr><td>-0.33<sup>+0.05</sup><sub>-0.07</sub></td><td></td><td>3</td><td>LEP-SLC</td><td>06 E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.226<sup>+0.635</sup><sub>-0.290</sub></td><td>±0.090</td><td>4</td><td>ACOSTA</td><td>05M CDF E<sup>pP</sup><sub>cm</sub>=1.96 TeV</td></tr></tbody></table>

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

-0.41<sup>+0.25</sup><sub>-0.20</sub> 5 ABRAMOWICZ16A ZEUS

-0.503<sup>+0.171</sup><sub>-0.103</sub> 6 ABT 16

-0.33 ±0.33 1500 7 AKTAS 06 H1 e<sup>±</sup><sub>p</sub> → ν<sub>e</sub>(ν<sub>e</sub>)X, √s ≈ 300 GeV

1. ANDREEV 18A obtain this result in a combined electroweak and QCD analysis using all deep-inelastic $e^+p$ and $e^-p$ neutral current and charged current scattering cross sections published by the H1 Collaboration, including data with longitudinally polarized lepton beams.

2. ABAZOV 11D study $p\bar{p} \to Z/\gamma^*e^+e^-$ events using 5 fb⁻¹ data at $\sqrt{s}$ = 1.96 TeV. The candidate events are selected by requiring two isolated electromagnetic showers with $E_T > 25$ GeV, at least one electron in the central region and the di-electron mass in the range 50-1000 GeV. From the forward-backward asymmetry, determined as a function of the di-electron mass, they derive the axial and vector couplings of the u- and d-quarks and the value of $\sin^2\theta_{eff} = 0.2309 \pm 0.0008(\text{stat}) \pm 0.0006(\text{syst})$.

3. LEP-SLC 06 is a combination of the results from LEP and SLC experiments using light quark tagging. s- and d-quark couplings are assumed to be identical.

4. ACOSTA 05M determine the forward-backward asymmetry of $e^+e^-$ pairs produced via $q\bar{q} \to Z/\gamma^* \to e^+e^-$ in 15 M($e^+e^-$) effective mass bins ranging from 40 GeV to 600 GeV. These results are used to obtain the vector and axial-vector couplings of the Z to the light quarks, assuming the electron couplings are as predicted by the Standard Model. Higher order radiative corrections have not been taken into account.

5. ABRAMOWICZ 16A determine the $Z^0$ couplings to u- and d-quarks using the ZEUS polarised data from Run II together with the unpolarised data from both ZEUS and H1 Collaborations for Run I and unpolarised H1 data from Run II.

6. ABT 16 determine the $Z^0$ couplings to u- and d-quarks using the same techniques and data as ABRAMOWICZ 16A but additionally use the published H1 polarised data.

7. AKTAS 06 fit the neutral current ($1.5 \le Q^2 \le 30,000 \text{ GeV}^2$) and charged current ($1.5 \le Q^2 \le 15,000 \text{ GeV}^2$) differential cross sections. In the determination of the d-quark couplings the electron and u-quark couplings are fixed to their standard model values.

## Z AXIAL-VECTOR COUPLINGS

These quantities are the effective axial-vector couplings of the Z to charged leptons and quarks. Their magnitude is derived from a measurement of the Z lineshape and the forward-backward lepton asymmetries as a function of energy around the Z mass. The relative sign among the vector to axial-vector couplings is obtained from a measurement of the Z asymmetry parameters, $A_e$, $A_\mu$, and $A_\tau$. By convention the sign of $g_A^e$ is fixed to be negative (and opposite to that of $g_\nu^e$ obtained using $\nu_e$ scattering measurements). For the light quarks, the sign of the couplings is assigned consistently with this assumption. The LEP/SLD-based fit values quoted below correspond to global nine- or five-parameter fits to lineshape, lepton forward-backward asymmetry, and $A_e$, $A_\mu$, and $A_\tau$ measurements. See the note “The Z boson” and ref. LEP-SLC 06 for details. Where $p\bar{p}$ and $e\bar{p}$ data is quoted, OUR FIT value corresponds to a weighted average of this with the LEP/SLD fit result.

<table><thead><tr><th>g<sup>e</sup><sub>A</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.50111±0.00035</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>-0.528 ±0.123 ±0.059</td><td>5026</td><td>1</td><td>ACOSTA</td><td>05M CDF E<sup>pP</sup><sub>cm</sub>=1.96 TeV</td></tr><tr><td>-0.50062±0.00062</td><td>137.0k</td><td>2</td><td>ABBIENDI</td><td>01O OPAL E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.5015 ±0.0007</td><td>124.4k</td><td>3</td><td>ACCIARRI</td><td>00C L3 E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.50166±0.00057</td><td></td><td>BARATE</td><td>00C ALEP</td><td>E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>-0.4977 ±0.0045</td><td>95J SLD</td><td>4</td><td>ABE</td><td>91.31 GeV</td></tr></tbody></table>

1. ACOSTA 05M determine the forward-backward asymmetry of $e^+e^-$ pairs produced via $q\bar{q} \to Z/\gamma^* \to e^+e^-$ in 15 M($e^+e^-$) effective mass bins ranging from 40 GeV to 600 GeV.
GeV. These results are used to obtain the vector and axial-vector couplings of the Z to $e^+e^-$, assuming the quark couplings are as predicted by the standard model. Higher order radiative corrections have not been taken into account.

2. **ABBIENDI 010** use their measurement of the $\tau$ polarization in addition to the lineshape and forward-backward lepton asymmetries.

3. **ACCIARRI 00C** use their measurement of the $\tau$ polarization in addition to forward-backward lepton asymmetries.

4. **ABE 95J** obtain this result combining polarized Bhabha results with the $A_{LR}$ measurement of ABE 94C. The Bhabha results alone give $-0.4968 \pm 0.0039 \pm 0.0027$.

$g_A^\mu$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5" style="text-align: center; font-weight: bold;">-0.50120±0.00054 FIT</td></tr><tr><td>-0.50117±0.00099</td><td>182.8k</td><td>1 ABBIENDI</td><td>010 OPAL</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr><tr><td>-0.5009 ±0.0014</td><td>113.4k</td><td>2 ACCIARRI</td><td>00C L3</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr><tr><td>-0.50046±0.00093</td><td></td><td>BARATE</td><td>00C ALEC</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
-0.520 ±0.015 66143 3 ABBIENDI 01K OPAL $E_{cm}^{ee} = 89-93$ GeV

1. **ABBIENDI 010** use their measurement of the $\tau$ polarization in addition to the lineshape and forward-backward lepton asymmetries.

2. **ACCIARRI 00C** use their measurement of the $\tau$ polarization in addition to forward-backward lepton asymmetries.

3. **ABBIENDI 01K** obtain this from an angular analysis of the muon pair asymmetry which takes into account effects of initial state radiation on an event by event basis and of initial-final state interference.

$g_A^\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5" style="text-align: center; font-weight: bold;">-0.50204±0.00064 FIT</td></tr><tr><td>-0.50165±0.00124</td><td>151.5k</td><td>1 ABBIENDI</td><td>010 OPAL</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr><tr><td>-0.5023 ±0.0017</td><td>103.0k</td><td>2 ACCIARRI</td><td>00C L3</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr><tr><td>-0.50216±0.00100</td><td></td><td>BARATE</td><td>00C ALEC</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr></tbody></table>

1. **ABBIENDI 010** use their measurement of the $\tau$ polarization in addition to the lineshape and forward-backward lepton asymmetries.

2. **ACCIARRI 00C** use their measurement of the $\tau$ polarization in addition to forward-backward lepton asymmetries.

$g_A^\ell$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5" style="text-align: center; font-weight: bold;">-0.50123±0.00026 FIT</td></tr><tr><td>-0.50089±0.00045</td><td>471.3k</td><td>1 ABBIENDI</td><td>010 OPAL</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr><tr><td>-0.5007 ±0.0005</td><td>379.4k</td><td>ABREU</td><td>00F DLPH</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr><tr><td>-0.50153±0.00053</td><td>340.8k</td><td>2 ACCIARRI</td><td>00C L3</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr><tr><td>-0.50150±0.00046</td><td>500k</td><td>BARATE</td><td>00C ALEC</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr></tbody></table>

1. **ABBIENDI 010** use their measurement of the $\tau$ polarization in addition to the lineshape and forward-backward lepton asymmetries.

2. **ACCIARRI 00C** use their measurement of the $\tau$ polarization in addition to forward-backward lepton asymmetries.

$g_A^\nu$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5" style="text-align: center; font-weight: bold;">0.519+0.028/-0.033</td></tr><tr><td>0.548±0.036</td><td></td><td>1 ANDREEV</td><td>18A H1</td><td>e<sup>±</sup> p</td></tr><tr><td>0.501 ±0.110</td><td>156k</td><td>2 ABAZOV</td><td>11D D0</td><td>E<sup>pp</sup><sub>cm</sub> = 1.97 TeV</td></tr><tr><td>0.47 +0.05</td><td></td><td>3 LEP-SLC</td><td>06</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr><tr><td>-0.33</td><td></td><td></td><td></td><td></td></tr><tr><td>0.441+0.207/-0.1737</td><td>5026</td><td>4 ACOSTA</td><td>05M CDF</td><td>E<sup>pp</sup><sub>cm</sub> = 1.96 TeV</td></tr></tbody></table>

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

<table><tbody><tr><td>0.50 +0.12</td><td></td><td>5 ABRAMOWICZ16A</td><td>ZEUS</td></tr><tr><td>-0.05</td><td></td><td></td><td></td></tr><tr><td>0.532+0.107</td><td></td><td>6 ABT</td><td>16</td></tr><tr><td>-0.063</td><td></td><td></td><td></td></tr><tr><td>0.57 ±0.08</td><td>1500</td><td>7 AKTAS</td><td>06 H1</td><td>e<sup>±</sup> p → ν<sub>e</sub>(ν<sub>e</sub>)X, <br>√s ≈ 300 GeV</td></tr></tbody></table>

1. **ANDREEV 18A** obtain this result in a combined electroweak and QCD analysis using all deep-inelastic $e^+p$ and $e^−p$ neutral current and charged current scattering cross sections published by the H1 Collaboration, including data with longitudinally polarized lepton beams.

2. **ABAZOV 11D** study $p\bar{p} → Z/γ^*e^+e^−$ events using $5 \text{ fb}^{-1}$ data at $\sqrt{s} = 1.96$ TeV. The candidate events are selected by requiring two isolated electromagnetic showers with $E_T > 25$ GeV, at least one electron in the central region and the di-electron mass in the range 50-1000 GeV. From the forward-backward asymmetry, determined as a function of the di-electron mass, they derive the axial and vector couplings of the u- and d-quarks and the value of $\sin^2\theta^\ell e^\ell = 0.2309 \pm 0.0008(\text{stat}) \pm 0.0006(\text{syst})$.

3. **LEP-SLC 06** is a combination of the results from LEP and SLC experiments using light quark tagging. s- and d-quark couplings are assumed to be identical.

4. **ACOSTA 05M** determine the forward-backward asymmetry of $e^+e^−$ pairs produced via $q\bar{q} → Z/γ^* → e^+e^−$ in 15 M(e$^+e^−$) effective mass bins ranging from 40 GeV to 600 GeV. These results are used to obtain the vector and axial-vector couplings of the Z to the light quarks, assuming the electron couplings are as predicted by the Standard Model. Higher order radiative corrections have not been taken into account.

5. **ABRAMOWICZ 16A** determine the $Z^0$ couplings to u- and d-quarks using the ZEUS polarised data from Run II together with the unpolarised data from both ZEUS and H1 Collaborations for Run I and unpolarised H1 data from Run II.

6. **ABT 16** determine the $Z^0$ couplings to u- and d-quarks using the same techniques and data as ABRAMOWICZ 16A but additionally use the published H1 polarised data.

7. **AKTAS 06** fit the neutral current (1.5 $\le$ Q$^2$ $\le$ 30,000 GeV$^2$) and charged current (1.5 $\le$ Q$^2$ $\le$ 15,000 GeV$^2$) differential cross sections. In the determination of the u-quark couplings the electron and d-quark couplings are fixed to their standard model values.

$g_A^d$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5" style="text-align: center; font-weight: bold;">-0.527+0.040/-0.028</td></tr><tr><td colspan="5" style="text-align: center; font-weight: bold;">OUR AVERAGE</td></tr><tr><td>-0.619±0.108</td><td></td><td>1 ANDREEV</td><td>18A H1</td><td>e<sup>±</sup> p</td></tr><tr><td>-0.497±0.165</td><td>156k</td><td>2 ABAZOV</td><td>11D D0</td><td>E<sup>pp</sup><sub>cm</sub> = 1.97 TeV</td></tr><tr><td>-0.52 +0.05</td><td></td><td>3 LEP-SLC</td><td>06</td><td>E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr><tr><td>-0.536 ±0.091</td><td>5026</td><td>4 ACOSTA</td><td>05M CDF</td><td>E<sup>pp</sup><sub>cm</sub> = 1.96 TeV</td></tr></tbody></table>

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

<table><tbody><tr><td>-0.56 +0.41</td><td></td><td>5 ABRAMOWICZ16A</td><td>ZEUS</td></tr><tr><td>-0.409+0.373</td><td></td><td>6 ABT</td><td>16</td></tr><tr><td>-0.213</td><td></td><td></td><td></td></tr><tr><td>-0.80 ±0.24</td><td>1500</td><td>7 AKTAS</td><td>06 H1</td><td>e<sup>±</sup> p → ν<sub>e</sub>(ν<sub>e</sub>)X, <br>√s ≈ 300 GeV</td></tr></tbody></table>

1. **ANDREEV 18A** obtain this result in a combined electroweak and QCD analysis using all deep-inelastic $e^+p$ and $e^−p$ neutral current and charged current scattering cross sections published by the H1 Collaboration, including data with longitudinally polarized lepton beams.

2. **ABAZOV 11D** study $p\bar{p} → Z/γ^*e^+e^−$ events using $5 \text{ fb}^{-1}$ data at $\sqrt{s} = 1.96$ TeV. The candidate events are selected by requiring two isolated electromagnetic showers with $E_T > 25$ GeV, at least one electron in the central region and the di-electron mass in the range 50-1000 GeV. From the forward-backward asymmetry, determined as a function of the di-electron mass, they derive the axial and vector couplings of the u- and d-quarks and the value of $\sin^2\theta^\ell e^\ell = 0.2309 \pm 0.0008(\text{stat}) \pm 0.0006(\text{syst})$.

3. **LEP-SLC 06** is a combination of the results from LEP and SLC experiments using light quark tagging. s- and d-quark couplings are assumed to be identical.

4. **ACOSTA 05M** determine the forward-backward asymmetry of $e^+e^−$ pairs produced via $q\bar{q} → Z/γ^* → e^+e^−$ in 15 M(e$^+e^−$) effective mass bins ranging from 40 GeV to 600 GeV. These results are used to obtain the vector and axial-vector couplings of the Z to the light quarks, assuming the electron couplings are as predicted by the Standard Model. Higher order radiative corrections have not been taken into account.

5. **ABRAMOWICZ 16A** determine the $Z^0$ couplings to u- and d-quarks using the ZEUS polarised data from Run II together with the unpolarised data from both ZEUS and H1 Collaborations for Run I and unpolarised H1 data from Run II.

6. **ABT 16** determine the $Z^0$ couplings to u- and d-quarks using the same techniques and data as ABRAMOWICZ 16A but additionally use the published H1 polarised data.

7. **AKTAS 06** fit the neutral current (1.5 $\le$ Q$^2$ $\le$ 30,000 GeV$^2$) and charged current (1.5 $\le$ Q$^2$ $\le$ 15,000 GeV$^2$) differential cross sections. In the determination of the d-quark couplings the electron and u-quark couplings are fixed to their standard model values.

## Z COUPLINGS TO NEUTRAL LEPTONS

Averaging over neutrino species, the invisible Z decay width determines the effective neutrino coupling $g^\nu\ell$. For $g^\nu\ell$ and $g^{\prime\nu}\mu$, $\nu_e$ and $\nu_\mu$ scattering results are combined with $g_A^e$ and $g_V^e$ measurements at the Z mass to obtain $g^\nu\ell$ and $g^{\prime\nu}\mu$ following NOVIKOV 93C.

$g_A^{\nu\ell}$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.50076±0.00076</td><td>1 LEP-SLC</td><td>06 E<sup>ee</sup><sub>cm</sub> = 88-94 GeV</td></tr></tbody></table>

1. From invisible Z-decay width.

$g_A^{\nu\ell}$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.528±0.085</td><td>1 VILAIN</td><td>94 CHM2</td><td>From ν<sub>μ</sub> e and ν<sub>e</sub> e scattering</td></tr></tbody></table>

1. **VILAIN 94** derive this value from their value of $g^{\nu\mu}$ and their ratio $g^{\nu\ell}/g^{\nu\mu} = 1.05+0.15/-0.18$.

$g_A^{\mu\nu}$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.502±0.017</td><td>1 VILAIN</td><td>94 CHM2</td><td>From ν<sub>μ</sub> e scattering</td></tr></tbody></table>

1. **VILAIN 94** derive this value from their measurement of the couplings $g_A^{e\nu\mu} = -0.503 \pm 0.017$ and $g_A^{e\nu\ell} = -0.035 \pm 0.017$ obtained from $\nu_\mu e$ scattering. We have re-evaluated this value using the current PDG values for $g_A^e$ and $g_V^e$.

## Z ASYMMETRY PARAMETERS

For each fermion-antifermion pair coupling to the Z these quantities are defined as

$$A_f = \frac{2g_V^f g_A^f}{(g_V^f)^2 + (g_A^f)^2}$$

where $g_V^f$ and $g_A^f$ are the effective vector and axial-vector couplings. For their relation to the various lepton asymmetries see the note "The Z boson" and ref. LEP-SLC 06.

$A_e$

Using polarized beams, this quantity can also be measured as $(\sigma_L - \sigma_R)/(\sigma_L + \sigma_R)$, where $\sigma_L$ and $\sigma_R$ are the $e^+e^−$ production cross sections for Z bosons produced with left-handed and right-handed electrons respectively.
<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>0.1515±0.0019 OUR AVERAGE</strong></td></tr><tr><td>0.1454±0.0108±0.0036</td><td>144810</td><td>1 ABBIENDI</td><td>010</td><td>OPAL E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>0.1516±0.0021</td><td>559000</td><td>2 ABE</td><td>01B</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.24 GeV</td></tr><tr><td>0.1504±0.0068±0.0008</td><td></td><td>3 HEISTER</td><td>01</td><td>ALEP E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>0.1382±0.0116±0.0005</td><td>105000</td><td>4 ABREU</td><td>00E</td><td>DLPH E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>0.1678±0.0127±0.0030</td><td>137092</td><td>5 ACCIARRI</td><td>98H</td><td>L3 E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>0.162±0.041±0.014</td><td>89838</td><td>6 ABE</td><td>97</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.27 GeV</td></tr><tr><td>0.202±0.038±0.008</td><td></td><td>7 ABE</td><td>95J</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.31 GeV</td></tr></tbody></table>

1. ABBIENDI 010 fit for $A_e$ and $A_\tau$ from measurements of the $\tau$ polarization at varying $\tau$ production angles. The correlation between $A_e$ and $A_\tau$ is less than 0.03.

2. ABE 01B use the left-right production and left-right forward-backward decay asymmetries in leptonic Z decays to obtain a value of $0.1544 \pm 0.0060$. This is combined with left-right production asymmetry measurement using hadronic Z decays (ABE 00B) to obtain the quoted value.

3. HEISTER 01 obtain this result fitting the $\tau$ polarization as a function of the polar production angle of the $\tau$.

4. ABREU 00E obtain this result fitting the $\tau$ polarization as a function of the polar $\tau$ production angle. This measurement is a combination of different analyses (exclusive $\tau$ decay modes, inclusive hadronic 1-prong reconstruction, and a neural network analysis).

5. Derived from the measurement of forward-backward $\tau$ polarization asymmetry.

6. ABE 97 obtain this result from a measurement of the observed left-right charge asymmetry, $A_Q^{\text{obs}} = 0.225 \pm 0.056 \pm 0.019$, in hadronic Z decays. If they combine this value of $A_Q^{\text{obs}}$ with their earlier measurement of $A_{LR}^{\text{obs}}$ they determine $A_e$ to be $0.1574 \pm 0.0197 \pm 0.0067$ independent of the beam polarization.

7. ABE 95J obtain this result from polarized Bhabha scattering.

### A_μ

This quantity is directly extracted from a measurement of the left-right forward-backward asymmetry in $\mu^+\mu^-$ production at SLC using a polarized electron beam. This double asymmetry eliminates the dependence on the Z-e-e coupling parameter $A_e$.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.142±0.015</strong></td><td>16844</td><td>1 ABE</td><td>01B</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.24 GeV</td></tr></tbody></table>

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

<table><tr><td>0.153±0.012</td><td>1.7M</td><td>2 AAD</td><td>15B ATLS</td><td>E<sup>pp</sup><sub>cm</sub>=7 TeV</td></tr></table>

1. ABE 01B obtain this direct measurement using the left-right production and left-right forward-backward polar angle asymmetries in $\mu^+\mu^-$ decays of the Z boson obtained with a polarized electron beam.

2. AAD 15B study $pp \to Z \to \ell^+\ell^-$ events where $\ell$ is an electron or a muon in the dilepton mass region 70-1000 GeV. The background in the Z peak region is estimated to be < 1% for the muon channel. The muon asymmetry parameter is derived from the measured forward-backward asymmetry assuming the value of the quark asymmetry parameter from the SM. For this reason it is not used in the average.

### A_τ

The LEP Collaborations derive this quantity from the measurement of the $\tau$ polarization in $Z \to \tau^+\tau^-$. The SLD Collaboration directly extracts this quantity from its measured left-right forward-backward asymmetry in $Z \to \tau^+\tau^-$ produced using a polarized $e^-$ beam. This double asymmetry eliminates the dependence on the Z-e-e coupling parameter $A_e$.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.143 ±0.004 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>0.1456 ±0.0076 ±0.0057</td><td>144810</td><td>1 ABBIENDI</td><td>010</td><td>OPAL E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>0.136 ±0.015</td><td>16083</td><td>2 ABE</td><td>01B</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.24 GeV</td></tr><tr><td>0.1451 ±0.0052 ±0.0029</td><td></td><td>3 HEISTER</td><td>01</td><td>ALEP E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>0.1359 ±0.0079 ±0.0055</td><td>105000</td><td>4 ABREU</td><td>00E</td><td>DLPH E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr><tr><td>0.1476 ±0.0088 ±0.0062</td><td>137092</td><td>ACCIARRI</td><td>98H</td><td>L3 E<sup>ee</sup><sub>cm</sub>=88-94 GeV</td></tr></tbody></table>

1. ABBIENDI 010 fit for $A_e$ and $A_\tau$ from measurements of the $\tau$ polarization at varying $\tau$ production angles. The correlation between $A_e$ and $A_\tau$ is less than 0.03.

2. ABE 01B obtain this direct measurement using the left-right production and left-right forward-backward polar angle asymmetries in $\tau^+\tau^-$ decays of the Z boson obtained with a polarized electron beam.

3. HEISTER 01 obtain this result fitting the $\tau$ polarization as a function of the polar production angle of the $\tau$.

4. ABREU 00E obtain this result fitting the $\tau$ polarization as a function of the polar $\tau$ production angle. This measurement is a combination of different analyses (exclusive $\tau$ decay modes, inclusive hadronic 1-prong reconstruction, and a neural network analysis).

### A_s

The SLD Collaboration directly extracts this quantity by a simultaneous fit to four measured s-quark polar angle distributions corresponding to two states of $e^-$ polarization (positive and negative) and to the $K^+K^-$ and $K^\pm K_S^0$ strange particle tagging modes in the hadronic final states.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.895 ±0.066 ±0.062</strong></td><td>2870</td><td>1 ABE</td><td>00D</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.2 GeV</td></tr></tbody></table>

1. ABE 00D tag $Z \to s\bar{s}$ events by an absence of B or D hadrons and the presence in each hemisphere of a high momentum $K^\pm$ or $K_S^0$.

### A_c

This quantity is directly extracted from a measurement of the left-right forward-backward asymmetry in $c\bar{c}$ production at SLC using polarized electron beam. This double asymmetry eliminates the dependence on the Z-e-e coupling parameter $A_e$. OUR FIT is obtained by a simultaneous fit to several c- and b-quark measurements as explained in the note “The Z boson” and ref. LEP-SLC 06.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.670 ±0.027 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>0.6712±0.0224±0.0157</td><td></td><td>1 ABE</td><td>05</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.24 GeV</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.583 ±0.055 ±0.055</td><td></td><td>2 ABE</td><td>02G</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.24 GeV</td></tr><tr><td>0.688 ±0.041</td><td></td><td>3 ABE</td><td>01C</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.25 GeV</td></tr></tbody></table>

1. ABE 05 use hadronic Z decays collected during 1996-98 to obtain an enriched sample of $c\bar{c}$ events tagging on the invariant mass of reconstructed secondary decay vertices. The charge of the underlying c-quark is obtained with an algorithm that takes into account the net charge of the vertex as well as the charge of tracks emanating from the vertex and identified as kaons. This yields (9970 events) $A_c = 0.6747 \pm 0.0290 \pm 0.0233$. Taking into account all correlations with earlier results reported in ABE 02G and ABE 01C, they obtain the quoted overall SLD result.

2. ABE 02G tag b and c quarks through their semileptonic decays into electrons and muons. A maximum likelihood fit is performed to extract simultaneously $A_b$ and $A_c$.

3. ABE 01C tag $Z \to c\bar{c}$ events using two techniques: exclusive reconstruction of $D^{*+}, D^+$ and $D^0$ mesons and the soft pion tag for $D^{*+} \to D^0\pi^+$. The large background from D mesons produced in $b\bar{b}$ events is separated efficiently from the signal using precision vertex information. When combining the $A_c$ values from these two samples, care is taken to avoid double counting of events common to the two samples, and common systematic errors are properly taken into account.

### A_d

This quantity is directly extracted from a measurement of the left-right forward-backward asymmetry in $b\bar{b}$ production at SLC using polarized electron beam. This double asymmetry eliminates the dependence on the Z-e-e coupling parameter $A_e$. OUR FIT is obtained by a simultaneous fit to several c- and b-quark measurements as explained in the note “The Z boson” and ref. LEP-SLC 06.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.923 ±0.020 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>0.9170±0.0147±0.0145</td><td></td><td>1 ABE</td><td>05</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.24 GeV</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.907 ±0.020 ±0.024</td><td>48028</td><td>2 ABE</td><td>03F</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.24 GeV</td></tr><tr><td>0.919 ±0.030 ±0.024</td><td></td><td>3 ABE</td><td>02G</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.24 GeV</td></tr><tr><td>0.855 ±0.088 ±0.102</td><td>7473</td><td>4 ABE</td><td>99L</td><td>SLD E<sup>ee</sup><sub>cm</sub>=91.27 GeV</td></tr></tbody></table>

1. ABE 05 use hadronic Z decays collected during 1996-98 to obtain an enriched sample of $b\bar{b}$ events tagging on the invariant mass of reconstructed secondary decay vertices. The charge of the underlying b-quark is obtained with an algorithm that takes into account the net charge of the vertex as well as the charge of tracks emanating from the vertex and identified as kaons. This yields (25917 events) $A_b = 0.9173 \pm 0.0184 \pm 0.0173$. Taking into account all correlations with earlier results reported in ABE 03F, ABE 02G and ABE 99L, they obtain the quoted overall SLD result.

2. ABE 03F obtain an enriched sample of $b\bar{b}$ events tagging on the invariant mass of a 3-dimensional topologically reconstructed secondary decay. The charge of the underlying b-quark is obtained using a self-calibrating track-charge method. For the 1996-1998 data sample they measure $A_b = 0.906 \pm 0.022 \pm 0.023$. The value quoted here is obtained combining the above with the result of ABE 98I (1993-1995 data sample).

3. ABE 02G tag b and c quarks through their semileptonic decays into electrons and muons. A maximum likelihood fit is performed to extract simultaneously $A_b$ and $A_c$.

4. ABE 99L obtain an enriched sample of $b\bar{b}$ events tagging with an inclusive vertex mass cut. For distinguishing b and $\bar{b}$ quarks they use the charge of identified $K^\pm$.

### TRANSVERSE SPIN CORRELATIONS IN $Z \to \tau^+\tau^-$

The correlations between the transverse spin components of $\tau^+\tau^-$ produced in Z decays may be expressed in terms of the vector and axial-vector couplings:

$$C_{TT} = \frac{|g_A^\tau|^2 - |g_V^\tau|^2}{|g_A^\tau|^2 + |g_V^\tau|^2} \\ C_{TN} = -2 \frac{|g_A^\tau| |g_V^\tau|}{|g_A^\tau|^2 + |g_V^\tau|^2} \sin(\Phi) g_V^\tau - \Phi g_A^\tau)$$

$C_{TT}$ refers to the transverse-transverse (within the collision plane) spin correlation and $C_{TN}$ refers to the transverse-normal (to the collision plane) spin correlation.

The longitudinal $\tau$ polarization $P_\tau$ ($=-A_\tau$) is given by:

$$P_{\tau} = -2 \frac{|g_A^\tau| |g_V^\tau|}{|g_A^\tau|^2 + |g_V^\tau|^2} \cos(\Phi) g_V^\tau - \Phi g_A^\tau)$$

Here $\Phi$ is the phase and the phase difference $\Phi = \Phi_V - \Phi_A$ can be obtained using both the measurements of $C_{TN}$ and $P_\tau$.

### C_TT

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.01±0.12 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>0.87±0.20<sup>+0.10</sup><sub>-0.12</sub></td><td>9.1k</td><td>ABREU</td><td>97G</td><td>DLPH E<sup>ee</sup><sub>cm</sub>=91.2 GeV</td></tr><tr><td>1.06±0.13±0.05</td><td>120k</td><td>BARATE</td><td>97D</td><td>ALEP E<sup>ee</sup><sub>cm</sub>=91.2 GeV</td></tr></tbody></table>
C<sub>TN</sub>

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>0.08±0.13±0.04</td><td>120k</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1 BARATE</td><td>97D ALEP</td><td>E<sup>e</sup><sub>Cm</sub>= 91.2 GeV</td></tr></tbody></table>

¹BARATE 97D combine their value of C<sub>TN</sub> with the world average P<sub>τ</sub> = -0.140 ± 0.007 to obtain tan(Φ<sub>V</sub> - Φ<sub>A</sub>) = -0.57 ± 0.97.

FORWARD-BACKWARD e<sup>+</sup>e<sup>-</sup> → fT CHARGE ASYMMETRIES

These asymmetries are experimentally determined by tagging the respective lepton or quark flavor in e<sup>+</sup>e<sup>-</sup> interactions. Details of heavy flavor (c- or b-quark) tagging at LEP are described in the note on "The Z boson" and ref. LEP-SLC 06. The Standard Model predictions for LEP data have been (re)computed using the ZFITTER package (version 6.36) with input parameters M<sub>Z</sub>=91.187 GeV, M<sub>top</sub>=174.3 GeV, M<sub>Higgs</sub>=150 GeV, α<sub>S</sub>=0.119, α<sup>(5)</sup> (M<sub>Z</sub>) = 1/128.877 and the Fermi constant G<sub>F</sub> = 1.16637 × 10<sup>-5</sup> GeV<sup>-2</sup> (see the note on "The Z boson" for references). For non-LEP data the Standard Model predictions are as given by the authors of the respective publications.

$A_{FB}^{(0,e)}$ CHARGE ASYMMETRY IN e<sup>+</sup>e<sup>-</sup> → e<sup>+</sup>e<sup>-</sup>

OUR FIT is obtained using the fit procedure and correlations as determined by the LEP Electroweak Working Group (see the note "The Z boson" and ref. LEP-SLC 06). For the Z peak, we report the pole asymmetry defined by (3/4)A<sub>e</sub>A<sub>μ</sub> as determined by the nine-parameter fit to cross-section and lepton forward-backward asymmetry data.

<table><thead><tr><th>ASYMMETRY (%)</th><th>STD. MODEL</th><th>√s (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td><strong>1.45±0.25 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>0.89±0.44</td><td>1.57</td><td>91.2</td><td>1 ABBIENDI</td><td>01A OPAL</td></tr><tr><td>1.71±0.49</td><td>1.57</td><td>91.2</td><td>ABREU</td><td>00F DLPH</td></tr><tr><td>1.06±0.58</td><td>1.57</td><td>91.2</td><td>ACCIARRI</td><td>00C L3</td></tr><tr><td>1.88±0.34</td><td>1.57</td><td>91.2</td><td>2 BARATE</td><td>00C ALEP</td></tr></tbody></table>

¹ABBIENDI 01A error includes approximately 0.38 due to statistics, 0.16 due to event selection systematics, and 0.18 due to the theoretical uncertainty in t-channel prediction.

²BARATE 00C error includes approximately 0.31 due to statistics, 0.06 due to experimental systematics, and 0.13 due to the theoretical uncertainty in t-channel prediction.

$A_{FB}^{(0,μ)}$ CHARGE ASYMMETRY IN e<sup>+</sup>e<sup>-</sup> → μ<sup>+</sup>μ<sup>-</sup>

OUR FIT is obtained using the fit procedure and correlations as determined by the LEP Electroweak Working Group (see the note "The Z boson" and ref. LEP-SLC 06). For the Z peak, we report the pole asymmetry defined by (3/4)A<sub>e</sub>A<sub>μ</sub> as determined by the nine-parameter fit to cross-section and lepton forward-backward asymmetry data.

<table><thead><tr><th>ASYMMETRY (%)</th><th>STD. MODEL</th><th>√s (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td><strong>1.69±0.13 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>1.59±0.23</td><td>1.57</td><td>91.2</td><td>1 ABBIENDI</td><td>01A OPAL</td></tr><tr><td>1.65±0.25</td><td>1.57</td><td>91.2</td><td>ABREU</td><td>00F DLPH</td></tr><tr><td>1.88±0.33</td><td>1.57</td><td>91.2</td><td>ACCIARRI</td><td>00C L3</td></tr><tr><td>1.71±0.24</td><td>1.57</td><td>91.2</td><td>2 BARATE</td><td>00C ALEP</td></tr></tbody></table>

<table><thead><tr><th></th><th>STD. MODEL</th><th>√s (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td>9 ±30</td><td>-1.3</td><td>20</td><td>3 ABREU</td><td>95M DLPH</td></tr><tr><td>7 ±26</td><td>-8.3</td><td>40</td><td>3 ABREU</td><td>95M DLPH</td></tr><tr><td>-11 ±33</td><td>-24.1</td><td>57</td><td>3 ABREU</td><td>95M DLPH</td></tr><tr><td>-62 ±17</td><td>-44.6</td><td>69</td><td>3 ABREU</td><td>95M DLPH</td></tr><tr><td>-56 ±10</td><td>-63.5</td><td>79</td><td>3 ABREU</td><td>95M DLPH</td></tr><tr><td>-13 ±5</td><td>-34.4</td><td>87.5</td><td>3 ABREU</td><td>95M DLPH</td></tr><tr><td>-29.0 +5.0<br>-4.8 ±0.5</td><td>-32.1</td><td>56.9</td><td>4 ABE</td><td>90I VNS</td></tr><tr><td>-9.9 ±1.5 ±0.5</td><td>-9.2</td><td>35</td><td>HEGNER</td><td>90 JADE</td></tr><tr><td>0.05 ±0.22</td><td>0.026</td><td>91.14</td><td>5 ABRAMS</td><td>89D MRK2</td></tr><tr><td>-43.4 ±17.0</td><td>-24.9</td><td>52.0</td><td>6 BACALA</td><td>89 AMY</td></tr><tr><td>-11.0 ±16.5</td><td>-29.4</td><td>55.0</td><td>6 BACALA</td><td>89 AMY</td></tr><tr><td>-30.0 ±12.4</td><td>-31.2</td><td>56.0</td><td>6 BACALA</td><td>89 AMY</td></tr><tr><td>-46.2 ±14.9</td><td>-33.0</td><td>57.0</td><td>6 BACALA</td><td>89 AMY</td></tr><tr><td>-29 ±13</td><td>-25.9</td><td>53.3</td><td>ADACHI</td><td>88C TOPZ</td></tr><tr><td>+5.3 ±5.0 ±0.5</td><td>-1.2</td><td>14.0</td><td>ADEVA</td><td>88 MRKJ</td></tr><tr><td>-10.4 ±1.3 ±0.5</td><td>-8.6</td><td>34.8</td><td>ADEVA</td><td>88 MRKJ</td></tr><tr><td>-12.3 ±5.3 ±0.5</td><td>-10.7</td><td>38.3</td><td>ADEVA</td><td>88 MRKJ</td></tr><tr><td>-15.6 ±3.0 ±0.5</td><td>-14.9</td><td>43.8</td><td>ADEVA</td><td>88 MRKJ</td></tr><tr><td>-1.0 ±6.0</td><td>-1.2</td><td>13.9</td><td>BRAUNSCH...</td><td>88D TASS</td></tr><tr><td>-9.1 ±2.3 ±0.5</td><td>-8.6</td><td>34.5</td><td>BRAUNSCH...</td><td>88D TASS</td></tr><tr><td>-10.6 +2.2<br>-2.3 ±0.5</td><td>-8.9</td><td>35.0</td><td>BRAUNSCH...</td><td>88D TASS</td></tr><tr><td>-17.6 +4.4<br>-4.3 ±0.5</td><td>-15.2</td><td>43.6</td><td>BRAUNSCH...</td><td>88D TASS</td></tr><tr><td>-4.8 ±6.5 ±1.0</td><td>-11.5</td><td>39</td><td>BEHREND</td><td>87C CELL</td></tr><tr><td>-18.8 ±4.5 ±1.0</td><td>-15.5</td><td>44</td><td>BEHREND</td><td>87C CELL</td></tr><tr><td>+2.7 ±4.9</td><td>-1.2</td><td>13.9</td><td>BARTEL</td><td>86C JADE</td></tr><tr><td>-11.1 ±1.8 ±1.0</td><td>-8.6</td><td>34.4</td><td>BARTEL</td><td>86C JADE</td></tr><tr><td>-17.3 ±4.8 ±1.0</td><td>-13.7</td><td>41.5</td><td>BARTEL</td><td>86C JADE</td></tr></tbody></table>

<table><tbody><tr><td>-22.8 ± 5.1 ±1.0</td><td>-16.6</td><td>44.8</td><td>BARTEL</td><td>86C JADE</td></tr><tr><td>-6.3 ± 0.8 ±0.2</td><td>-6.3</td><td>29</td><td>ASH</td><td>85 MAC</td></tr><tr><td>-4.9 ± 1.5 ±0.5</td><td>-5.9</td><td>29</td><td>DERRICK</td><td>85 HRS</td></tr><tr><td>-7.1 ± 1.7</td><td>-5.7</td><td>29</td><td>LEVI</td><td>83 MRK2</td></tr><tr><td>-16.1 ± 3.2</td><td>-9.2</td><td>34.2</td><td>BRANDELIK</td><td>82C TASS</td></tr></tbody></table>

¹ABBIENDI 01A error is almost entirely on account of statistics.

²BARATE 00C error is almost entirely on account of statistics.

³ABREU 95M perform this measurement using radiative muon-pair events associated with high-energy isolated photons.

⁴ABE 90I measurements in the range 50 ≤ √s ≤ 60.8 GeV.

⁵ABRAMS 89D asymmetry includes both 9 μ<sup>+</sup> μ<sup>-</sup> and 15 τ<sup>+</sup> τ<sup>-</sup> events.

⁶BACALA 89 systematic error is about 5%.

$A_{FB}^{(0,τ)}$ CHARGE ASYMMETRY IN e<sup>+</sup>e<sup>-</sup> → τ<sup>+</sup>τ<sup>-</sup>

OUR FIT is obtained using the fit procedure and correlations as determined by the LEP Electroweak Working Group (see the note "The Z boson" and ref. LEP-SLC 06). For the Z peak, we report the pole asymmetry defined by (3/4)A<sub>e</sub>A<sub>τ</sub> as determined by the nine-parameter fit to cross-section and lepton forward-backward asymmetry data.

<table><thead><tr><th>ASYMMETRY (%)</th><th>STD. MODEL</th><th>√s (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td><strong>1.86±0.17 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>1.45±0.30</td><td>1.57</td><td>91.2</td><td>1 ABBIENDI</td><td>01A OPAL</td></tr><tr><td>2.41±0.37</td><td>1.57</td><td>91.2</td><td>ABREU</td><td>00F DLPH</td></tr><tr><td>2.60±0.47</td><td>1.57</td><td>91.2</td><td>ACCIARRI</td><td>00C L3</td></tr><tr><td>1.70±0.28</td><td>1.57</td><td>91.2</td><td>2 BARATE</td><td>00C ALEP</td></tr></tbody></table>

<table><thead><tr><th></th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td>-32.8 +6.4<br>-6.2 ±1.5</td><td>3 ABE</td><td>90I VNS</td></tr><tr><td>-8.1 ±2.0 ±0.6</td><td>HEGNER</td><td>90 JADE</td></tr><tr><td>-18.4 ±19.2</td><td>4 BACALA</td><td>89 AMY</td></tr><tr><td>-17.7 ±26.1</td><td>4 BACALA</td><td>89 AMY</td></tr><tr><td>-45.9 ±16.6</td><td>4 BACALA</td><td>89 AMY</td></tr><tr><td>-49.5 ±18.0</td><td>4 BACALA</td><td>89 AMY</td></tr><tr><td>-20 ±14</td><td>ADACHI</td><td>88C TOPZ</td></tr><tr><td>-10.6 ±3.1 ±1.5</td><td>ADEVA</td><td>88 MRKJ</td></tr><tr><td>-8.5 ±6.6 ±1.5</td><td>ADEVA</td><td>88 MRKJ</td></tr><tr><td>-6.0 ±2.5 ±1.0</td><td>BARTEL</td><td>85F JADE</td></tr><tr><td>-11.8 ±4.6 ±1.0</td><td>BARTEL</td><td>85F JADE</td></tr><tr><td>-5.5 ±1.2 ±0.5</td><td>FERNANDEZ</td><td>85A MAC</td></tr><tr><td>-4.2 ±2.0</td><td>LEVI</td><td>83 MRK2</td></tr><tr><td>-10.3 ±5.2</td><td>BEHREND</td><td>82 CELL</td></tr><tr><td>-0.4 ±6.6</td><td>BRANDELIK</td><td>82C TASS</td></tr></tbody></table>

¹ABBIENDI 01A error includes approximately 0.26 due to statistics and 0.14 due to event selection systematics.

²BARATE 00C error includes approximately 0.26 due to statistics and 0.11 due to experimental systematics.

³ABE 90I measurements in the range 50 ≤ √s ≤ 60.8 GeV.

⁴BACALA 89 systematic error is about 5%.

$A_{FB}^{(0,ℓ)}$ CHARGE ASYMMETRY IN e<sup>+</sup>e<sup>-</sup> → ℓ<sup>+</sup>ℓ<sup>-</sup>

For the Z peak, we report the pole asymmetry defined by (3/4)A<sub>ℓ</sub><sup>2</sup> as determined by the five-parameter fit to cross-section and lepton forward-backward asymmetry data assuming lepton universality. For details see the note "The Z boson" and ref. LEP-SLC 06.

<table><thead><tr><th>ASYMMETRY (%)</th><th>STD. MODEL</th><th>√s (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td><strong>1.71±0.10 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>1.45±0.17</td><td>1.57</td><td>91.2</td><td>1 ABBIENDI</td><td>01A OPAL</td></tr><tr><td>1.87±0.19</td><td>1.57</td><td>91.2</td><td>ABREU</td><td>00F DLPH</td></tr><tr><td>1.92±0.24</td><td>1.57</td><td>91.2</td><td>ACCIARRI</td><td>00C L3</td></tr><tr><td>1.73±0.16</td><td>1.57</td><td>91.2</td><td>2 BARATE</td><td>00C ALEP</td></tr></tbody></table>

¹ABBIENDI 01A error includes approximately 0.15 due to statistics, 0.06 due to event selection systematics, and 0.03 due to the theoretical uncertainty in t-channel prediction.

²BARATE 00C error includes approximately 0.15 due to statistics, 0.04 due to experimental systematics, and 0.02 due to the theoretical uncertainty in t-channel prediction.

$A_{FB}^{(0,u)}$ CHARGE ASYMMETRY IN e<sup>+</sup>e<sup>-</sup> → uū

<table><thead><tr><th>ASYMMETRY (%)</th><th>STD. MODEL</th><th>√s (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td><strong>4.0±6.7±2.8</strong></td><td><strong>7.2</strong></td><td><strong>91.2</strong></td><td>1 ACKERSTAFF 97T</td><td>OPAL</td></tr></tbody></table>

¹ACKERSTAFF 97T measure the forward-backward asymmetry of various fast hadrons made of light quarks. Then using SU(2) isospin symmetry and flavor independence for down and strange quarks authors solve for the different quark types.

$A_{FB}^{(0,ζ)}$ CHARGE ASYMMETRY IN e<sup>+</sup>e<sup>-</sup> → sζ

The s-quark asymmetry is derived from measurements of the forward-backward asymmetry of fast hadrons containing an s quark.

<table><thead><tr><th>ASYMMETRY (%)</th><th>STD. MODEL</th><th>√s (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td><strong>9.8 ±1.1 OUR AVERAGE</strong></td><td><strong>10.1</strong></td><td><strong>91.2</strong></td><td>1 ABREU</td><td>00B DLPH</td></tr></tbody></table>
6.8 ± 3.5 ± 1.1

10.1

91.2

² ACKERSTAFF 97T OPAL

¹ ABREU 00b tag the presence of an s quark requiring a high-momentum-identified charged kaon. The s-quark pole asymmetry is extracted from the charged-kaon asymmetry taking the expected d- and u-quark asymmetries from the Standard Model and using the measured values for the c- and b-quark asymmetries.

² ACKERSTAFF 97t measure the forward-backward asymmetry of various fast hadrons made of light quarks. Then using SU(2) isospin symmetry and flavor independence for down and strange quark authors solve for the different quark types. The value reported here corresponds then to the forward-backward asymmetry for "down-type" quarks.

### A<sup>(0,c)</sup><sub>FB</sub> CHARGE ASYMMETRY IN e<sup>+</sup> e<sup>-</sup> → cτ

OUR FIT, which is obtained by a simultaneous fit to several c- and b-quark measurements as explained in the note "The Z boson" and ref. LEP-SLC 06, refers to the Z pole asymmetry. The experimental values, on the other hand, correspond to the measurements carried out at the respective energies.

<table><thead><tr><th>ASYMMETRY (%)</th><th>STD. MODEL</th><th>√s (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td><strong>7.07 ± 0.35 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>6.31 ± 0.93 ± 0.65</td><td>6.35</td><td>91.26</td><td>1 ABDALLAH</td><td>04F DLPH</td></tr><tr><td>5.68 ± 0.54 ± 0.39</td><td>6.3</td><td>91.25</td><td>2 ABBIENDI</td><td>03P OPAL</td></tr><tr><td>6.45 ± 0.57 ± 0.37</td><td>6.10</td><td>91.21</td><td>3 HEISTER</td><td>02H ALEP</td></tr><tr><td>6.59 ± 0.94 ± 0.35</td><td>6.2</td><td>91.235</td><td>4 ABREU</td><td>99Y DLPH</td></tr><tr><td>6.3 ± 0.9 ± 0.3</td><td>6.1</td><td>91.22</td><td>5 BARATE</td><td>980 ALEP</td></tr><tr><td>6.3 ± 1.2 ± 0.6</td><td>6.1</td><td>91.22</td><td>6 ALEXANDER</td><td>97C OPAL</td></tr><tr><td>8.3 ± 3.8 ± 2.7</td><td>6.2</td><td>91.24</td><td>7 ADRIANI</td><td>92D L3</td></tr></tbody></table>

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

<table><tbody><tr><td>3.1 ± 3.5 ± 0.5</td><td>-3.5</td><td>89.43</td><td>1 ABDALLAH</td><td>04F DLPH</td></tr><tr><td>11.0 ± 2.8 ± 0.7</td><td>12.3</td><td>92.99</td><td>1 ABDALLAH</td><td>04F DLPH</td></tr><tr><td>-6.8 ± 2.5 ± 0.9</td><td>-3.0</td><td>89.51</td><td>2 ABBIENDI</td><td>03P OPAL</td></tr><tr><td>14.6 ± 2.0 ± 0.8</td><td>12.2</td><td>92.95</td><td>2 ABBIENDI</td><td>03P OPAL</td></tr><tr><td>-12.4 ± 15.9 ± 2.0</td><td>-9.6</td><td>88.38</td><td>3 HEISTER</td><td>02H ALEP</td></tr><tr><td>-2.3 ± 2.6 ± 0.2</td><td>-3.8</td><td>89.38</td><td>3 HEISTER</td><td>02H ALEP</td></tr><tr><td>-0.3 ± 8.3 ± 0.6</td><td>0.9</td><td>90.21</td><td>3 HEISTER</td><td>02H ALEP</td></tr><tr><td>10.6 ± 7.7 ± 0.7</td><td>9.6</td><td>92.05</td><td>3 HEISTER</td><td>02H ALEP</td></tr><tr><td>11.9 ± 2.1 ± 0.6</td><td>12.2</td><td>92.94</td><td>3 HEISTER</td><td>02H ALEP</td></tr><tr><td>12.1 ± 11.0 ± 1.0</td><td>14.2</td><td>93.90</td><td>3 HEISTER</td><td>02H ALEP</td></tr><tr><td>-4.96 ± 3.68 ± 0.53</td><td>-3.5</td><td>89.434</td><td>4 ABREU</td><td>99Y DLPH</td></tr><tr><td>11.80 ± 3.18 ± 0.62</td><td>12.3</td><td>92.990</td><td>4 ABREU</td><td>99Y DLPH</td></tr><tr><td>-1.0 ± 4.3 ± 1.0</td><td>-3.9</td><td>89.37</td><td>5 BARATE</td><td>980 ALEP</td></tr><tr><td>11.0 ± 3.3 ± 0.8</td><td>12.3</td><td>92.96</td><td>5 BARATE</td><td>980 ALEP</td></tr><tr><td>3.9 ± 5.1 ± 0.9</td><td>-3.4</td><td>89.45</td><td>6 ALEXANDER</td><td>97C OPAL</td></tr><tr><td>15.8 ± 4.1 ± 1.1</td><td>12.4</td><td>93.00</td><td>6 ALEXANDER</td><td>97C OPAL</td></tr><tr><td>-12.9 ± 7.8 ± 5.5</td><td>-13.6</td><td>35</td><td>BEHREND</td><td>90D CELL</td></tr><tr><td>7.7 ± 13.4 ± 5.0</td><td>-22.1</td><td>43</td><td>BEHREND</td><td>90D CELL</td></tr><tr><td>-12.8 ± 4.4 ± 4.1</td><td>-13.6</td><td>35</td><td>ELSEN</td><td>90 JADE</td></tr><tr><td>-10.9 ± 12.9 ± 4.6</td><td>-23.2</td><td>44</td><td>ELSEN</td><td>90 JADE</td></tr><tr><td>-14.9 ± 6.7</td><td>-13.3</td><td>35</td><td>OULD-SAADA</td><td>89 JADE</td></tr></tbody></table>

¹ ABDALLAH 04f tag b- and c-quarks using semileptonic decays combined with charge flow information from the hemisphere opposite to the lepton. Enriched samples of cτ and bτ events are obtained using lifetime information.

² ABBIENDI 03P tag heavy flavors using events with one or two identified leptons. This allows the simultaneous fitting of the b and c quark forward-backward asymmetries as well as the average B<sup>0</sup>-B<sup>0</sup> mixing.

³ HEISTER 02h measure simultaneously b and c quark forward-backward asymmetries using their semileptonic decays to tag the quark charge. The flavor separation is obtained with a discriminating multivariate analysis.

⁴ ABREU 99y tag Z → bbar and Z → cτ events by an exclusive reconstruction of several D meson decay modes (D<sup>*+</sup>, D<sup>0</sup>, and D<sup>+</sup> with their charge-conjugate states).

⁵ BARATE 98o tag Z → cτ events requiring the presence of high-momentum reconstructed D<sup>*+</sup>, D<sup>+</sup>, or D<sup>0</sup> mesons.

⁶ ALEXANDER 97c identify the b and c events using a D/D* tag.

⁷ ADRIANI 92d use both electron and muon semileptonic decays.

### A<sup>(0,b)</sup><sub>FB</sub> CHARGE ASYMMETRY IN e<sup>+</sup> e<sup>-</sup> → bbar

OUR FIT, which is obtained by a simultaneous fit to several c- and b-quark measurements as explained in the note "The Z boson" and ref. LEP-SLC 06, refers to the Z pole asymmetry. The experimental values, on the other hand, correspond to the measurements carried out at the respective energies.

<table><thead><tr><th>ASYMMETRY (%)</th><th>STD. MODEL</th><th>√s (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td><strong>9.92 ± 0.16 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>9.58 ± 0.32 ± 0.14</td><td>9.68</td><td>91.231</td><td>1 ABDALLAH</td><td>05 DLPH</td></tr><tr><td>10.04 ± 0.56 ± 0.25</td><td>9.69</td><td>91.26</td><td>2 ABDALLAH</td><td>04F DLPH</td></tr><tr><td>9.72 ± 0.42 ± 0.15</td><td>9.67</td><td>91.25</td><td>3 ABBIENDI</td><td>03P OPAL</td></tr><tr><td>9.77 ± 0.36 ± 0.18</td><td>9.69</td><td>91.26</td><td>4 ABBIENDI</td><td>02I OPAL</td></tr><tr><td>9.52 ± 0.41 ± 0.17</td><td>9.59</td><td>91.21</td><td>5 HEISTER</td><td>02H ALEP</td></tr><tr><td>10.00 ± 0.27 ± 0.11</td><td>9.63</td><td>91.232</td><td>6 HEISTER</td><td>01D ALEP</td></tr><tr><td>7.62 ± 1.94 ± 0.85</td><td>9.64</td><td>91.235</td><td>7 ABREU</td><td>99Y DLPH</td></tr><tr><td>9.60 ± 0.66 ± 0.33</td><td>9.69</td><td>91.26</td><td>8 ACCIARRI</td><td>99D L3</td></tr><tr><td>9.31 ± 1.01 ± 0.55</td><td>9.65</td><td>91.24</td><td>9 ACCIARRI</td><td>98U L3</td></tr><tr><td>9.4 ± 2.7 ± 2.2</td><td>9.61</td><td>91.22</td><td>10 ALEXANDER</td><td>97C OPAL</td></tr></tbody></table>

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

<table><tbody><tr><td>6.37 ± 1.43 ± 0.17</td><td>5.8</td><td>89.449</td><td>1 ABDALLAH</td><td>05 DLPH</td></tr><tr><td>10.41 ± 1.15 ± 0.24</td><td>12.1</td><td>92.990</td><td>1 ABDALLAH</td><td>05 DLPH</td></tr><tr><td>6.7 ± 2.2 ± 0.2</td><td>5.7</td><td>89.43</td><td>2 ABDALLAH</td><td>04F DLPH</td></tr><tr><td>11.2 ± 1.8 ± 0.2</td><td>12.1</td><td>92.99</td><td>2 ABDALLAH</td><td>04F DLPH</td></tr><tr><td>4.7 ± 1.8 ± 0.1</td><td>5.9</td><td>89.51</td><td>3 ABBIENDI</td><td>03P OPAL</td></tr><tr><td>10.3 ± 1.5 ± 0.2</td><td>12.0</td><td>92.95</td><td>3 ABBIENDI</td><td>03P OPAL</td></tr><tr><td>5.82 ± 1.53 ± 0.12</td><td>5.9</td><td>89.50</td><td>4 ABBIENDI</td><td>02I OPAL</td></tr><tr><td>12.21 ± 1.23 ± 0.25</td><td>12.0</td><td>92.91</td><td>4 ABBIENDI</td><td>02I OPAL</td></tr><tr><td>-13.1 ± 13.5 ± 1.0</td><td>3.2</td><td>88.38</td><td>5 HEISTER</td><td>02H ALEP</td></tr><tr><td>5.5 ± 1.9 ± 0.1</td><td>5.6</td><td>89.38</td><td>5 HEISTER</td><td>02H ALEP</td></tr><tr><td>-0.4 ± 6.7 ± 0.8</td><td>7.5</td><td>90.21</td><td>5 HEISTER</td><td>02H ALEP</td></tr><tr><td>11.1 ± 6.4 ± 0.5</td><td>11.0</td><td>92.05</td><td>5 HEISTER</td><td>02H ALEP</td></tr><tr><td>10.4 ± 1.5 ± 0.3</td><td>12.0</td><td>92.94</td><td>5 HEISTER</td><td>02H ALEP</td></tr><tr><td>13.8 ± 9.3 ± 1.1</td><td>12.9</td><td>93.90</td><td>5 HEISTER</td><td>02H ALEP</td></tr><tr><td>4.36 ± 1.19 ± 0.11</td><td>5.8</td><td>89.472</td><td>6 HEISTER</td><td>01D ALEP</td></tr><tr><td>11.72 ± 0.97 ± 0.11</td><td>12.0</td><td>92.950</td><td>6 HEISTER</td><td>01D ALEP</td></tr><tr><td>5.67 ± 7.56 ± 1.17</td><td>5.7</td><td>89.434</td><td>7 ABREU</td><td>99Y DLPH</td></tr><tr><td>8.82 ± 6.33 ± 1.22</td><td>12.1</td><td>92.990</td><td>7 ABREU</td><td>99Y DLPH</td></tr><tr><td>6.11 ± 2.93 ± 0.43</td><td>5.9</td><td>89.50</td><td>8 ACCIARRI</td><td>99D L3</td></tr><tr><td>13.71 ± 2.40 ± 0.44</td><td>12.2</td><td>93.10</td><td>8 ACCIARRI</td><td>99D L3</td></tr><tr><td>4.95 ± 5.23 ± 0.40</td><td>5.8</td><td>89.45</td><td>9 ACCIARRI</td><td>98U L3</td></tr><tr><td>11.37 ± 3.99 ± 0.65</td><td>12.1</td><td>92.99</td><td>9 ACCIARRI</td><td>98U L3</td></tr><tr><td>-8.6 ± 10.8 ± 2.9</td><td>5.8</td><td>89.45</td><td>10 ALEXANDER</td><td>97C OPAL</td></tr><tr><td>-2.1 ± 9.0 ± 2.6</td><td>12.1</td><td>93.00</td><td>10 ALEXANDER</td><td>97C OPAL</td></tr><tr><td>-71 ± 34 ± 7</td><td>-8</td><td>-58</td><td>SHIMONAKA</td><td>91 TOPZ</td></tr><tr><td>-22.2 ± 7.7 ± 3.5</td><td>-26.0</td><td>35</td><td>BEHREND</td><td>90D CELL</td></tr><tr><td>-49.1 ± 16.0 ± 5.0</td><td>-39.7</td><td>43</td><td>BEHREND</td><td>90D CELL</td></tr><tr><td>-28 ± 11</td><td>-23</td><td>35</td><td>BRAUNSCH...</td><td>90 TASS</td></tr><tr><td>-16.6 ± 7.7 ± 4.8</td><td>-24.3</td><td>35</td><td>ELSEN</td><td>90 JADE</td></tr><tr><td>-33.6 ± 22.2 ± 5.2</td><td>-39.9</td><td>44</td><td>ELSEN</td><td>90 JADE</td></tr><tr><td>3.4 ± 7.0 ± 3.5</td><td>-16.0</td><td>29.0</td><td>BAND</td><td>89 MAC</td></tr><tr><td>-72 ± 28 ± 13</td><td>-56</td><td>55.2</td><td>SAGAWA</td><td>89 AMY</td></tr></tbody></table>

¹ ABDALLAH 05 obtain an enriched samples of bbar events using lifetime information. The quark (or antiquark) charge is determined with a neural network using the secondary vertex charge, the jet charge and particle identification.

² ABDALLAH 04f tag b- and c-quarks using semileptonic decays combined with charge flow information from the hemisphere opposite to the lepton. Enriched samples of cτ and bτ events are obtained using lifetime information.

³ ABBIENDI 03p tag heavy flavors using events with one or two identified leptons. This allows the simultaneous fitting of the b and c quark forward-backward asymmetries as well as the average B<sup>0</sup>-B<sup>0</sup> mixing.

⁴ ABBIENDI 02i tag Z<sup>0</sup> → bbar decays using a combination of secondary vertex and lepton tags. The sign of the b-quark charge is determined using an inclusive tag based on jet, vertex, and kaon charges.

⁵ HEISTER 02h measure simultaneously b and c quark forward-backward asymmetries using their semileptonic decays to tag the quark charge. The flavor separation is obtained with a discriminating multivariate analysis.

⁶ HEISTER 01d tag Z → bbar events using the impact parameters of charged tracks complemented with information from displaced vertices, event shape variables, and lepton identification. The b-quark direction and charge is determined using the hemisphere charge method along with information from fast kaon tagging and charge estimators of primary and secondary vertices. The change in the quoted value due to variation of A<sup>(0,c)</sup><sub>FB</sub> and R<sub>b</sub> is given as +0.103 (A<sup>(0,c)</sup><sub>FB</sub> - 0.0651) - 0.440 (R<sub>b</sub> - 0.21585).

⁷ ABREU 99γ tag Z → bbar and Z → cτ events by an exclusive reconstruction of several D meson decay modes (D<sup>*+</sup>, D<sup>0</sup>, and D<sup>+</sup> with their charge-conjugate states).

⁸ ACCIARRI 99d tag Z → bbar events using high p and pγ leptons. The analysis determines simultaneously a mixing parameter χ<sub>b</sub> = 0.1192 ± 0.0068 ± 0.0051 which is used to correct the observed asymmetry.

⁹ ACCIARRI 98u tag Z → bbar events using lifetime and measure the jet charge using the hemisphere charge.

¹⁰ ALEXANDER 97c identify the b and c events using a D/D* tag.

### CHARGE ASYMMETRY IN e<sup>+</sup> e<sup>-</sup> → q<span style="text-decoration: overline">q</span>

Summed over five lighter flavors.

Experimental and Standard Model values are somewhat event-selection dependent. Standard Model expectations contain some assumptions on B<sup>0</sup>-B<sup>0</sup> mixing and on other electroweak parameters.

<table><thead><tr><th>ASYMMETRY (%)</th><th>STD. MODEL</th><th>√s (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td>-0.76 ± 0.12 ± 0.15</td><td>91.2</td><td>91.2</td><td>1 ABREU</td><td>92I DLPH</td></tr><tr><td>4.0 ± 0.4 ± 0.63</td><td>4.0</td><td>91.3</td><td>2 ACTON</td><td>92L OPAL</td></tr><tr><td>9.1 ± 1.4 ± 1.6</td><td>9.0</td><td>57.9</td><td>ADACHI</td><td>91 TOPZ</td></tr><tr><td>-0.84 ± 0.15 ± 0.04</td><td>91</td><td>91</td><td>DECAMP</td><td>91B ALEP</td></tr><tr><td>8.3 ± 2.9 ± 1.9</td><td>8.7</td><td>56.6</td><td>STUART</td><td>90 AMY</td></tr><tr><td>11.4 ± 2.2 ± 2.1</td><td>8.7</td><td>57.6</td><td>ABE</td><td>89L VNS</td></tr><tr><td>6.0 ± 1.3</td><td>5.0</td><td>34.8</td><td>GREENSHAW</td><td>89 JADE</td></tr><tr><td>8.2 ± 2.9</td><td>8.5</td><td>43.6</td><td>GREENSHAW</td><td>89 JADE</td></tr></tbody></table>

¹ ABREU 92l has 0.14 systematic error due to uncertainty of quark fragmentation.

² ACTON 92l use the weight function method on 259k selected Z → hadrons events. The systematic error includes a contribution of 0.2 due to B<sup>0</sup>-B<sup>0</sup> mixing effect, 0.4 due to Monte Carlo (MC) fragmentation uncertainties and 0.3 due to MC statistics. ACTON 92l derive a value of sin<sup>2</sup>β<sub>eff</sub> to be 0.2321 ± 0.0017 ± 0.0028.
CHARGE ASYMMETRY IN $p\bar{p} \to Z \to e^+e^-$

<table><thead><tr><th>ASYMMETRY (%)</th><th>STD. MODEL</th><th>γ/ζ (GeV)</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td>• • •</td><td></td><td></td><td></td><td>We do not use the following data for averages, fits, limits, etc.</td></tr><tr><td>5.2±5.9±0.4</td><td></td><td>91</td><td>ABE</td><td>91E CDF</td></tr></tbody></table>

ANOMALOUS $ZZ\gamma$, $Z\gamma\gamma$, AND $ZZV$ COUPLINGS

Revised September 2013 by M.W. Grünewald (U. College Dublin and U. Ghent) and A. Gurt (Formerly Tata Inst.).

In on-shell $Z\gamma$ production, deviations from the Standard Model for the $Z\gamma\gamma^*$ and $Z\gamma Z^*$ couplings may be described in terms of eight parameters, $h_i^V$ ($i=1,4$; $V=\gamma, Z$) [1]. The parameters $h_i^\gamma$ describe the $Z\gamma\gamma^*$ couplings and the parameters $h_3^Z$ the $Z\gamma Z^*$ couplings. In this formalism $h_1^V$ and $h_2^V$ lead to CP-violating and $h_3^V$ and $h_4^V$ to CP-conserving effects. All these anomalous contributions to the cross section increase rapidly with center-of-mass energy. In order to ensure unitarity, these parameters are usually described by a form-factor representation, $h_i^V(s) = h_{i\epsilon}^V/(1+s/\Lambda^2)^n$, where $\Lambda$ is the energy scale for the manifestation of a new phenomenon and $n$ is a sufficiently large power. By convention one uses $n=3$ for $h_1^{V,3}$ and $n=4$ for $h_2^{V,4}$. Usually limits on $h_i^V$'s are put assuming some value of $\Lambda$, sometimes $\infty$.

In on-shell $ZZ$ production, deviations from the Standard Model for the $ZZ\gamma^*$ and $ZZZ^*$ couplings may be described by means of four anomalous couplings $f_i^V$ ($i=4,5$; $V=\gamma, Z$) [2]. As above, the parameters $f_i^\gamma$ describe the $ZZ\gamma^*$ couplings and the parameters $f_i^Z$ the $ZZZ^*$ couplings. The anomalous couplings $f_5^V$ lead to violation of C and P symmetries while $f_4^V$ introduces CP violation. Also here, formfactors depending on a scale $\Lambda$ are used.

All these couplings $h_i^V$ and $f_i^V$ are zero at tree level in the Standard Model; they are measured in $e^+e^-$, $p\bar{p}$ and $pp$ collisions at LEP, Tevatron and LHC.

References

1. U. Baur and E.L. Berger, Phys. Rev. D47, 4889 (1993).

2. K. Hagiwara et al., Nucl. Phys. B282, 253 (1987).

$h_i^V$

Combining the LEP-2 results taking into account the correlations, the following 95% CL limits are derived [SCHAEEL 13A]:

<table><tr><td>-0.12 &lt; h<sub>1</sub><sup>Z</sup> &lt; +0.11,</td><td>-0.07 &lt; h<sub>2</sub><sup>Z</sup> &lt; +0.07,</td></tr><tr><td>-0.19 &lt; h<sub>2</sub><sup>Z</sup> &lt; +0.06,</td><td>-0.04 &lt; h<sub>4</sub><sup>Z</sup> &lt; +0.13,</td></tr><tr><td>-0.05 &lt; h<sub>1</sub><sup>γ</sup> &lt; +0.05,</td><td>-0.04 &lt; h<sub>2</sub><sup>γ</sup> &lt; +0.02,</td></tr><tr><td>-0.05 &lt; h<sub>3</sub><sup>γ</sup> &lt; +0.00,</td><td>+0.01 &lt; h<sub>4</sub><sup>γ</sup> &lt; +0.05.</td></tr></table>

Some of the recent results from the Tevatron and LHC experiments individually surpass the combined LEP-2 results in precision (see below).

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • •</td><td></td><td></td><td>We do not use the following data for averages, fits, limits, etc.</td></tr><tr><td>1</td><td>AAD</td><td>16Q ATLS</td><td>E<sup>pp</sup><sub>cm</sub> = 8 TeV</td></tr><tr><td>2</td><td>KHACHATRY...</td><td>16AE CMS</td><td>E<sup>pp</sup><sub>cm</sub> = 8 TeV</td></tr><tr><td>3</td><td>KHACHATRY...</td><td>15AC CMS</td><td>E<sup>pp</sup><sub>cm</sub> = 8 TeV</td></tr><tr><td>4</td><td>CHATRCHYAN</td><td>14AB CMS</td><td>E<sup>pp</sup><sub>cm</sub> = 7 TeV</td></tr><tr><td>5</td><td>AAD</td><td>13AN ATLS</td><td>E<sup>pp</sup><sub>cm</sub> = 7 TeV</td></tr><tr><td>6</td><td>CHATRCHYAN</td><td>13BI CMS</td><td>E<sup>pp</sup><sub>cm</sub> = 7 TeV</td></tr><tr><td>7</td><td>ABAZOV</td><td>12S D0</td><td>E<sup>pp</sup><sub>cm</sub> = 1.96 TeV</td></tr><tr><td>8</td><td>AALTONEN</td><td>11S CDF</td><td>E<sup>pp</sup><sub>cm</sub> = 1.96 TeV</td></tr><tr><td>9</td><td>CHATRCHYAN</td><td>11M CMS</td><td>E<sup>pp</sup><sub>cm</sub> = 7 TeV</td></tr></tbody></table>

<table><tr><td>10</td><td>ABAZOV</td><td>09L D0</td><td>E<sup>pp</sup><sub>cm</sub> = 1.96 TeV</td></tr><tr><td>11</td><td>ABAZOV</td><td>07M D0</td><td>E<sup>pp</sup><sub>cm</sub> = 1.96 TeV</td></tr><tr><td>12</td><td>ABDALLAH</td><td>07C DLPH</td><td>E<sup>ee</sup><sub>cm</sub> = 183–208 GeV</td></tr><tr><td>13</td><td>ACHARD</td><td>04H L3</td><td>E<sup>ee</sup><sub>cm</sub> = 183–208 GeV</td></tr><tr><td>14</td><td>ABBIENDI, G</td><td>00C OPAL</td><td>E<sup>ee</sup><sub>cm</sub> = 189 GeV</td></tr><tr><td>15</td><td>ABBOTT</td><td>98M D0</td><td>E<sup>pp</sup><sub>cm</sub> = 1.8 TeV</td></tr><tr><td>16</td><td>ABREU</td><td>98K DLPH</td><td>E<sup>ee</sup><sub>cm</sub> = 161, 172 GeV</td></tr></table>

1. AAD 16Q study $Z\gamma$ production in $pp$ collisions. In events with no additional jets, 10268 (12738) $Z$ decays to electron (muon) pairs are selected, with an expected background of 1291 ± 340 (1537 ± 408) events, as well as 1039 $Z$ decays to neutrino pairs with an expected background of 450 ± 96 events. Analyzing the photon transverse momentum of distribution above 250 GeV (400 GeV) for lepton (neutrino) events, yields the 95% C.L. limits: $-7.8 \times 10^{-4} < h_2^Z < 8.6 \times 10^{-4}$, $-3.0 \times 10^{-6} < h_4^Z < 2.9 \times 10^{-6}$, $-9.5 \times 10^{-4} < h_3^Z < 9.9 \times 10^{-4}$, $-3.2 \times 10^{-6} < h_4^Z < 3.2 \times 10^{-6}$.

2. KHACHATRYAN 16AE determine the $Z\gamma \to \nu\bar{\nu}\gamma$ cross section by selecting events with a photon of $E_T > 145$ GeV and $E_T > 140$ GeV. 630 candidate events are observed with an expected SM background of 269 ± 26. The $E_T$ spectrum of the photon is used to set 95% C.L. limits as follows: $-1.5 \times 10^{-3} < h_2^Z < -1.6 \times 10^{-3}$, $-3.9 \times 10^{-6} < h_4^Z < 4.5 \times 10^{-6}$, $-1.1 \times 10^{-3} < h_3^Z < 0.9 \times 10^{-3}$, $-3.8 \times 10^{-6} < h_4^Z < 4.3 \times 10^{-6}$.

3. KHACHATRYAN 15AC study $Z\gamma$ events in 8 TeV $pp$ interactions, where the $Z$ decays into 2 same-flavor, opposite sign leptons (e or $\mu$) and a photon with $p_T > 15$ GeV. The $p_T$ of a lepton is required to be $> 20$ GeV/c, their effective mass $> 50$ GeV, and the photon should have a separation $\Delta R > 0.7$ with each lepton. The observed $p_T$ distribution of the photons is used to extract the 95% C.L. limits: $-3.8 \times 10^{-3} < h_2^Z < 3.7 \times 10^{-3}$, $-3.1 \times 10^{-5} < h_4^Z < 3.0 \times 10^{-5}$, $-4.6 \times 10^{-3} < h_3^Z < 4.6 \times 10^{-3}$, $-3.6 \times 10^{-5} < h_4^Z < 3.5 \times 10^{-5}$.

4. CHATRCHYAN 14AB measure $Z\gamma$ production cross section for $p_T^\gamma > 15$ GeV and $R(\ell\gamma) > 0.7$, which is the separation between the $\gamma$ and the final state charged lepton (e or $\mu$) in the azimuthal angle-pseudorapidity ($\phi - \eta$) plane. The di-lepton mass is required to be $> 50$ GeV. After background subtraction the number of $e\gamma$ and $\mu\gamma$ events is determined to be 3160 ± 120 and 5030 ± 233 respectively, compatible with expectations from the SM. This leads to a 95% CL limits of $-1 \times 10^{-2} < h_3^\gamma < 1 \times 10^{-2}$, $-9 \times 10^{-5} < h_4^\gamma < 9 \times 10^{-5}$, $-9 \times 10^{-3} < h_3^Z < 9 \times 10^{-3}$, $-8 \times 10^{-5} < h_4^Z < 8 \times 10^{-5}$, assuming $h_1^V$ and $h_2^V$ have SM values, $V = \gamma$ or $Z$.

5. AAD 13AN study $Z\gamma$ production in $pp$ collisions. In events with no additional jet, 1417 (2031) $Z$ decays to electron (muon) pairs are selected, with an expected background of 156 ± 54 (244 ± 64) events, as well as 662 $Z$ decays to neutrino pairs with an expected background of 302 ± 42 events. Analyzing the photon $p_T$ spectrum above 100 GeV yields the 95% C.L. limits: $-0.013 < h_3^Z < -0.014$, $-8.7 \times 10^{-5} < h_4^Z < 8.7 \times 10^{-5}$, $-0.015 < h_3^\gamma < 0.016$, $-9.4 \times 10^{-5} < h_4^\gamma < 9.2 \times 10^{-5}$. Supersedes AAD 12BX.

6. CHATRCHYAN 13BI determine the $Z\gamma \to \nu\bar{\nu}\gamma$ cross section by selecting events with a photon of $E_T > 145$ GeV and a $E_T > 130$ GeV. 73 candidate events are observed with an expected SM background of 30.2 ± 6.5. The $E_T$ spectrum of the photon is used to set 95% C.L. limits as follows: $|h_3^Z| < 2.7 \times 10^{-3}$, $|h_4^Z| < 1.3 \times 10^{-5}$, $|h_3^\gamma| < 2.9 \times 10^{-3}$, $|h_4^\gamma| < 1.5 \times 10^{-5}$.

7. ABAZOV 12S study $Z\gamma$ production in $p\bar{p}$ collisions at $\sqrt{s} = 1.96$ TeV using 6.2 fb$^{-1}$ of data where the $Z$ decays to electron (muon) pairs and the photon has at least 10 GeV of transverse momentum. In data, 304 (308) di-electron (di-muon) events are observed with an expected background of 255 ± 16 (285 ± 24) events. Based on the photon $p_T$ spectrum, and including also earlier data and the $Z \to \nu\bar{\nu}$ decay mode (from ABAZOV 09L), the following 95% C.L. limits are reported: $|h_{03}^Z| < 0.026$, $|h_{04}^Z| < 0.0013$, $|h_{03}^\gamma| < 0.027$, $|h_{04}^\gamma| < 0.0014$ for a form factor scale of $\Lambda = 1.5$ TeV.

8. AALTONEN 11S study $Z\gamma$ events in $p\bar{p}$ interactions at $\sqrt{s} = 1.96$ TeV with integrated luminosity 5.1 fb$^{-1}$ for $Z \to e^+e^- / \mu^+\mu^-$ and 4.9 fb$^{-1}$ for $Z \to \nu\bar{\nu}$. For the charged lepton case, the two leptons must be of the same flavor with the transverse momentum/energy of one > 20 GeV and the other > 10 GeV. The isolated photon must have $E_T > 50$ GeV. They observe 91 events with 87.2 ± 7.8 events expected from standard model processes. For the $\nu\bar{\nu}$ case they require solitary photons with $E_T > 25$ GeV and missing $E_T > 25$ GeV and observe 85 events with standard model expectation of 85.9 ± 5.6 events. Taking the form factor $\Lambda = 1.5$ TeV they derive 95% C.L. limits as $|h_{03}^\gamma| < 0.022$ and $|h_{04}^\gamma| < 0.0009$.

9. CHATRCHYAN 11M study $Z\gamma$ production in $pp$ collisions at $\sqrt{s} = 7$ TeV using 36 pb$^{-1}$ $pp$ data, where the $Z$ decays to $e^+e^- / \mu^+\mu^-$ and $\mu^+\mu^- \gamma$ candidates are measured for photon transverse energy $E_T^\gamma > 10$ GeV and spatial separation from charged leptons in the plane of pseudo rapidity and azimuthal angle $\Delta R(\ell, \gamma) > 0.7$ with the dilepton invariant mass requirement of $M_{\ell\ell} > 50$ GeV. The number of $e^+e^- \gamma$ and $\mu^+\mu^- \gamma$ candidates is 81 and 90 with estimated backgrounds of 20.5 ± 2.5 and 27.3 ± 3.2 events respectively. The 95% CL limits for $ZZ\gamma$ couplings are $-0.05 < h_2^Z < 0.06$ and $-0.0005 < h_4^Z < 0.0005$, and for $Z\gamma\gamma$ couplings are $-0.07 < h_3^\gamma < 0.07$ and $-0.0005 < h_4^\gamma < 0.0006$.

10. ABAZOV 09L study $Z\gamma, Z \to \nu\bar{\nu}$ production in $p\bar{p}$ collisions at 1.96 TeV C.M. energy. They select 51 events with a photon of transverse energy $E_T$ larger than 90 GeV, with an expected background of 17 events. Based on the photon $E_T$ spectrum and including also $Z$ decays to charged leptons (from ABAZOV 07M), the following 95% C.L limits are reported: $|h_{30}| < 0.033$, $|h_{40}| < 0.0017$, $|h_{30}| < 0.033$, $|h_{40}| < 0.0017$.

11. ABAZOV 07M use 968 $p\bar{p} \to e^+e^- / \mu^+\mu^- \gamma$ candidates, at 1.96 TeV center of mass energy, to tag $p\bar{p} \to Z\gamma$ events by requiring $E_T(\gamma) > 7$ GeV, lepton-gamma separation $\Delta R_{\ell\gamma} > 0.7$, and di-lepton invariant mass $> 30$ GeV. The cross section is in agreement with the SM prediction. Using these $Z\gamma$ events they obtain 95% C.L. limits on each $h_i^V$, keeping all others fixed at their SM values. They report: $-0.083 < h_{30}^Z < 0.0005$.
0.082, -0.0053 < $h_4^Z < 0.0054$, -0.085 < $h_3^\gamma < 0.084$, -0.0053 < $h_4^0 < 0.0054$, for the form factor scale $\Lambda=1.2$ TeV.

12 Using data collected at $\sqrt{s}$ = 183-208, ABDALLAH 07c select 1,877 $e^+e^-$ to $Z\gamma$ events with $Z \to q\bar{q}$ or $\nu\bar{\nu}$, 171 $e^+e^-$ to ZZ events with $Z \to q\bar{q}$ or lepton pair (except an explicit $\tau$ pair), and 74 $e^+e^-$ to $Z\gamma^*$ events with a $q\bar{q}\mu^+\mu^-$ or $q\bar{q}e^+e^-$ signature, to derive 95% CL limits on $h_i^\gamma$. Each limit is derived with other parameters set to zero. They report: -0.23 < $h_1^Z < 0.23$, -0.30 < $h_3^Z < 0.16$, -0.14 < $h_1^\gamma < 0.14$, -0.049 < $h_3^\gamma < 0.044$.

13 ACHARD 04H select 3515 $e^+e^-$ to $Z\gamma$ events with $Z \to q\bar{q}$ or $\nu\bar{\nu}$ at $\sqrt{s}$ = 189-209 GeV to derive 95% CL limits on $h_i^\gamma$. For deriving each limit the other parameters are fixed at zero. They report: -0.153 < $h_1^Z < 0.141$, -0.087 < $h_2^Z < 0.079$, -0.220 < $h_3^Z < 0.112$, -0.068 < $h_4^Z < 0.148$, -0.057 < $h_1^\gamma < 0.057$, -0.050 < $h_2^\gamma < 0.023$, -0.059 < $h_3^\gamma < 0.004$, -0.004 < $h_4^\gamma < 0.042$.

14 ABBIENDI, G 00C study $e^+e^-$ to $Z\gamma$ events (with $Z \to q\bar{q}$ and $Z \to \nu\bar{\nu}$) at 189 GeV to obtain the central values (and 95% CL limits) of these couplings: $h_1^Z = 0.000 \pm 0.100$ (-0.190, 0.190), $h_2^Z = 0.000 \pm 0.068$ (-0.128, 0.128), $h_3^Z = -0.074^{+0.102}_{-0.103}$ (-0.269, 0.119), $h_4^Z = 0.046 \pm 0.068$ (-0.084, 0.175), $h_1^\gamma = 0.000 \pm 0.061$ (-0.115, 0.115), $h_2^\gamma = 0.000 \pm 0.041$ (-0.077, 0.077), $h_3^\gamma = -0.080^{+0.039}_{-0.041}$ (-0.164, -0.006), $h_4^\gamma = 0.064^{+0.033}_{-0.030}$ (+0.007, +0.134). The results are derived assuming that only one coupling at a time is different from zero.

15 ABBOTT 98M study $p\bar{p} \to Z\gamma + X$, with $Z \to e^+e^-$, $\mu^+\mu^-$, $\nu\bar{\nu}$ at 1.8 TeV, to obtain 95% CL limits at $\Lambda=750$ GeV: $|h_{30}^Z| < 0.36$, $|h_{40}^Z| < 0.05$ (keeping $h_1^\gamma=0$), and $|h_{30}^Z| < 0.37$, $|h_{40}^Z| < 0.05$ (keeping $h_1^\gamma=0$). Limits on the CP-violating couplings are $|h_{10}^Z| < 0.36$, $|h_{20}^Z| < 0.05$ (keeping $h_1^\gamma=0$), and $|h_{10}^Z| < 0.37$, $|h_{20}^Z| < 0.05$ (keeping $h_1^\gamma=0$).

16 ABREU 98k determine a 95% CL upper limit on $\sigma(e^+e^- \to \gamma^+\gamma^-)$ invisible particles) < 2.5 pb using 161 and 172 GeV data. This is used to set 95% CL limits on $|h_{30}^\gamma| < 0.8$ and $|h_{40}^\gamma| < 1.3$, derived at a scale $\Lambda=1$ TeV and with $n=3$ in the form factor representation.

fV

Combining the LEP-2 results taking into account the correlations, the following 95% CL limits are derived [SCHAEL 13A]:

$-0.28 < f_4^Z < +0.32, \quad -0.34 < f_5^Z < +0.35,$

$-0.17 < f_4^\gamma < +0.19, \quad -0.35 < f_5^\gamma < +0.32.$

Some of the recent results from the Tevatron and LHC experiments individually surpass the combined LEP-2 results in precision (see below).

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • •</td><td>AAD</td><td>23CH</td><td>E<sup>pp</sup><sub>cm</sub> = 13 TeV</td></tr><tr><td></td><td>SIRUNYAN</td><td>21Q CMS</td><td>E<sup>pp</sup><sub>cm</sub> = 13 TeV</td></tr><tr><td></td><td>AABOUD</td><td>19AY ATLS</td><td>E<sup>pp</sup><sub>cm</sub> = 13 TeV</td></tr><tr><td></td><td>AABOUD</td><td>18Q ATLS</td><td>E<sup>pp</sup><sub>cm</sub> = 13 TeV</td></tr><tr><td></td><td>5 SIRUNYAN</td><td>18BT CMS</td><td>E<sup>pp</sup><sub>cm</sub> = 13 TeV</td></tr><tr><td></td><td>6 KHACHATRY..15B</td><td>CMS</td><td>E<sup>pp</sup><sub>cm</sub> = 8 TeV</td></tr><tr><td></td><td>7 KHACHATRY..15BC</td><td>CMS</td><td>E<sup>pp</sup><sub>cm</sub> = 7, 8 TeV</td></tr><tr><td></td><td>8 AAD</td><td>13Z ATLS</td><td>E<sup>pp</sup><sub>cm</sub> = 7 TeV</td></tr><tr><td></td><td>9 CHATRCHYAN 13B</td><td>CMS</td><td>E<sup>pp</sup><sub>cm</sub> = 7 TeV</td></tr><tr><td></td><td>10 SCHAEL</td><td>09 ALEP</td><td>E<sup>ee</sup><sub>cm</sub> = 192-209 GeV</td></tr><tr><td></td><td>11 ABAZOV</td><td>08K D0</td><td>E<sup>pp</sup><sub>cm</sub> = 1.96 TeV</td></tr><tr><td></td><td>12 ABDALLAH</td><td>07C DLPH</td><td>E<sup>ee</sup><sub>cm</sub> = 183-208 GeV</td></tr><tr><td></td><td>13 ABBIENDI</td><td>04C OPAL</td><td></td></tr><tr><td></td><td>14 ACHARD</td><td>03D L3</td><td></td></tr></tbody></table>

1 AAD 23CH measure ZZ production with the Z bosons decaying to electrons or muons. Analysing the angular information of the final-state four-lepton system, the following limits are derived at 95% C.L.: -0.012 < $f_4^Z < 0.012$, -0.015 < $f_5^Z < 0.015$.

2 SIRUNYAN 21Q measure ZZ production where both Z bosons decay in the electron or muon channel. Analysing the four-lepton invariant mass distribution, the following limits are derived at 95% C.L. in units of $10^{-4}$: -6.6 < $f_4^Z < 6.0$, -5.5 < $f_5^Z < 7.5$, -7.8 < $f_4^\gamma < 7.1$, -6.8 < $f_5^\gamma < 7.5$. This set of parameters is linearly related to a set of EFT parameters, resulting in the following limits at 95% C.L. in units of $\text{TeV}^{-4}$: -2.3 < $c_{\bar{B}W}/\Lambda^4 < 2.5$, -1.4 < $c_{WW}/\Lambda^4 < 1.2$, -1.4 < $c_{BW}/\Lambda^4 < 1.3$, -1.2 < $c_{BB}/\Lambda^4 < 1.2$.

3 AABOUD 19AY study ZZ production in the $\ell\ell\nu\nu$ decay channel. Events with a pair of isolated high-transverse momentum charged leptons (electron pairs or muon pairs), and with large missing energy, are selected. In the data, 371 (416) di-electron (dilepton) events are found, with a total expected background of 128 $\pm$ 8 (143 $\pm$ 8) events. Analysing the transverse momentum distribution of the charged dilepton system above 150 GeV, the following 95% C.L. limits are derived in units of $10^{-3}$: -1.2 < $f_4^\gamma < 1.2$, -1.0 < $f_4^Z < 1.0$, -1.2 < $f_5^\gamma < 1.2$, -1.0 < $f_5^Z < 1.0$.

4 AABOUD 18Q study $pp \to ZZ$ events at $\sqrt{s}$ = 13 TeV with $Z \to e^+e^-$ or $Z \to \mu^+\mu^-$.

The number of events observed in the 4e, 2e2μ, and 4μ channels is 220, 543 and 335 respectively. Analysing the 4-lepton invariant mass spectrum, the following 95% C.L. limits are derived in units of $10^{-3}$: -1.2 < $f_4^\gamma < 1.3$, -1.2 < $f_4^Z < 1.0$, -1.2 < $f_5^\gamma < 1.3$, -1.0 < $f_5^Z < 1.3$.

5 SIRUNYAN 18BT study $ppZZ$ events at $\sqrt{s}$ = 13 TeV with $Z \to e^+e^-$ or $Z \to \mu^+\mu^-$.

6 KHACHATRYAN 15B study ZZ production in 8 TeV $pp$ collisions. In the decay modes $ZZ \to 4e, 4\mu, 2e2\mu$, 54, 75, 148 events are observed, with an expected background of 2.2 $\pm$ 0.9, 1.2 $\pm$ 0.6, and 2.4 $\pm$ 1.0 events, respectively. Analysing the 4-lepton invariant mass spectrum in the range from 110 GeV to 1200 GeV, the following 95% C.L. limits are obtained: $|f_4^Z| < 0.004$, $|f_5^Z| < 0.004$, $|f_4^\gamma| < 0.005$, $|f_5^\gamma| < 0.005$.

7 KHACHATRYAN 15BC use the cross section measurement of the final state $pp \to ZZ \to 2\ell2\nu$, ($\ell$ being an electron or a muon) at 7 and 8 TeV to put limits on these triple gauge couplings. Effective mass of the charged lepton pair is required to be in the range 83.5-98.5 GeV and the dilepton $p_T$ > 45 GeV. The reduced missing $E_T$ is required to be > 65 GeV, which takes into account the fake missing $E_T$ due to detector effects. The numbers of $e^+e^-$ and $\mu^+\mu^-$ events selected are 35 and 40 at 7 TeV and 176 and 271 at 8 TeV respectively. The production cross sections so obtained are in agreement with SM predictions. The following 95% C.L. limits are set: -0.0028 < $f_4^Z < 0.0032$, -0.0037 < $f_4^\gamma < 0.0033$, -0.0029 < $f_5^Z < 0.0031$, -0.0033 < $f_5^\gamma < 0.0037$. Combining with previous results (KHACHATRYAN 15B and CHATRCHYAN 13B) which include 7 TeV and 8 TeV data on the final states $pp \to ZZ \to 2\ell2\nu$ where $\ell$ and $\ell'$ are an electron or a muon, the best limits are -0.0022 < $f_4^Z < 0.0026$, -0.0029 < $f_4^\gamma < 0.0026$, -0.0023 < $f_5^Z < 0.0023$, -0.0026 < $f_5^\gamma < 0.0027$.

8 AAD 13Z study ZZ production in $pp$ collisions at $\sqrt{s}$ = 7 TeV. In the $ZZ \to \ell^+\ell^- \ell^+\ell^-$ final state they observe a total of 66 events with an expected background of 0.9 $\pm$ 1.3. In the $ZZ \to \ell^+\ell^- \nu\nu$ final state they observe a total of 87 events with an expected background of 46.9 $\pm$ 5.2. The limits on anomalous TGCs are determined using the observed and expected numbers of these ZZ events binned in $p_T^Z$. The 95% C.L. are as follows: for form factor scale $\Lambda = \infty$, -0.015 < $f_4^\gamma < 0.015$, -0.013 < $f_4^Z < 0.013$, -0.016 < $f_5^\gamma < 0.015$, -0.013 < $f_5^Z < 0.013$; for form factor scale $\Lambda = 3$ TeV, -0.022 < $f_4^Z < 0.023$, -0.019 < $f_4^\gamma < 0.019$, -0.023 < $f_5^\gamma < 0.023$, -0.020 < $f_5^Z < 0.019$.

9 CHATRCHYAN 13B study ZZ production in $pp$ collisions and select 54 ZZ candidates in the Z decay channel with electrons or muons with an expected background of 1.4 $\pm$ 0.5 events. The resulting 95% C.L. ranges are: -0.013 < $f_4^\gamma < 0.015$, -0.011 < $f_4^Z < 0.012$, -0.014 < $f_5^\gamma < 0.014$, -0.012 < $f_5^Z < 0.012$.

10 Using data collected in the center of mass energy range 192-209 GeV, SCHAEL 09 select 318 $e^+e^-$ to ZZ events with 319.4 expected from the standard model. Using this data they derive the following 95% CL limits: -0.321 < $f_4^\gamma < 0.318$, -0.534 < $f_4^Z < 0.534$, -0.724 < $f_5^Z < 0.733$, -1.194 < $f_5^Z < 1.190$.

11 ABAZOV 08K search for ZZ and $Z\gamma^*$ events with 1 fb$^{-1}$ $p\bar{p}$ data at $\sqrt{s}$ = 1.96 TeV in $(e^e)(e^e)$, $(\mu\mu)(\mu\mu)$, $(e^e)(\mu\mu)$ final states requiring the lepton pair masses to be > 30 GeV. They observe 1 event, which is consistent with an expected signal of 1.71 $\pm$ 0.15 events and a background of 0.13 $\pm$ 0.03 events. From this they derive the following limits, for a form factor ($\Lambda$) value of 1.2 TeV: -0.28 < $f_{40}^Z < 0.28$, -0.31 < $f_{50}^Z < 0.29$, -0.26 < $f_{40}^Z < 0.26$, -0.30 < $f_{50}^Z < 0.28$.

12 Using data collected at $\sqrt{s}$ = 183-208 GeV, ABDALLAH 07c select 171 $e^+e^-$ to ZZ events with $Z \to q\bar{q}$ or lepton pair (except an explicit $\tau$ pair), and 74 $e^+e^-$ to $Z\gamma^*$ events with a $q\bar{q}\mu^+\mu^-$ or $q\bar{q}e^+e^-$ signature, to derive 95% CL limits on $f_\gamma^\gamma$. Each limit is derived with other parameters set to zero. They report: -0.40 < $f_4^Z < 0.42$, -0.38 < $f_5^Z < 0.62$, -0.23 < $f_4^\gamma < 0.25$, -0.52 < $f_5^\gamma < 0.48$.

13 ABBIENDI 04C study ZZ production in $e^+e^-$ collisions in the C.M. energy range 190-209 GeV. They select 340 events with an expected background of 180 events. Including the ABBIENDI 00N data at 183 and 189 GeV (118 events with an expected background of 65 events) they report the following 95% CL limits: -0.45 < $f_4^Z < 0.58$, -0.94 < $f_5^Z < 0.25$, -0.32 < $f_4^\gamma < 0.33$, and -0.71 < $f_5^\gamma < 0.59$.

14 ACHARD 03D study Z-boson pair production in $e^+e^-$ collisions in the C.M. energy range 200-209 GeV. They select 549 events with an expected background of 432 events. Including the ACCIARRI 99G and ACCIARRI 990 data (183 and 189 GeV respectively, 286 events with an expected background of 241 events) and the 192-202 GeV ACCIARRI 011 results (656 events, expected background of 512 events) they report the following 95% CL limits: -0.48 $\le$ $f_4^Z \le 0.46$, -0.36 $\le$ $f_5^Z \le 1.03$, -0.28 $\le$ $f_4^\gamma \le 0.28$, and -0.40 $\le$ $f_5^\gamma \le 0.47$.

ANOMALOUS W/Z QUARTIC COUPLINGS

Revised March 2024 by M.W. Grünewald (U. College Dublin) and A. Gurtu (CERN; TIFR Mumbai).

Quartic couplings, WWZZ, WWZ$\gamma$, WW$\gamma\gamma$, and ZZ$\gamma\gamma$, were studied at LEP and Tevatron at energies at which the Standard Model predicts negligible contributions to multiboson production. Thus, to parametrize limits on these couplings, an effective theory approach is adopted which supplements the
Standard Model Lagrangian with higher dimensional operators which include quartic couplings. The LEP collaborations chose the lowest dimensional representation of operators (dimension 6) which presumes the SU(2)×U(1) gauge symmetry is broken by means other than the conventional Higgs scalar doublet [1–3]. In this representation possible quartic couplings, $a_0, a_c, a_n$, are expressed in terms of the following dimension-6 operators [1,2]:

$$L_6^0 = -\frac{e^2}{16\Lambda^2} a_0 F^{\mu\nu} F_{\mu\nu} \vec{W}^{\alpha} \cdot \vec{W}_{\alpha}$$

$$L_6^c = -\frac{e^2}{16\Lambda^2} a_c F^{\mu\alpha} F_{\mu\beta} \vec{W}^{\beta} \cdot \vec{W}_{\alpha}$$

$$L_6^n = -i \frac{e^2}{16\Lambda^2} a_n \epsilon_{ijk} W_{\mu\alpha}^{(i)} W_{\nu}^{(j)} W^{(k)\alpha} F^{\mu\nu}$$

$$\tilde{L}_6^0 = -\frac{e^2}{16\Lambda^2} \tilde{a}_0 F^{\mu\nu} \tilde{F}_{\mu\nu} \vec{W}^{\alpha} \cdot \vec{W}_{\alpha}$$

$$\tilde{L}_6^n = -i \frac{e^2}{16\Lambda^2} \tilde{a}_n \epsilon_{ijk} W_{\mu\alpha}^{(i)} W_{\nu}^{(j)} W^{(k)\alpha} \tilde{F}^{\mu\nu}$$

where $F, W$ are photon and $W$ fields, $L_6^0$ and $L_6^c$ conserve $C$, $P$ separately ($\tilde{L}_6^0$ conserves only $C$) and generate anomalous $W^+W^-\gamma\gamma$ and $ZZ\gamma\gamma$ couplings, $L_6^n$ violates $CP$ ($\tilde{L}_6^n$ violates both $C$ and $P$) and generates an anomalous $W^+W^-Z\gamma$ coupling, and $\Lambda$ is an energy scale for new physics. For the $ZZ\gamma\gamma$ coupling the $CP$-violating term represented by $L_6^n$ does not contribute. These couplings are assumed to be real and to vanish at tree level in the Standard Model.

Within the same framework as above, a more recent description of the quartic couplings [3] treats the anomalous parts of the $WW\gamma\gamma$ and $ZZ\gamma\gamma$ couplings separately, leading to two sets parametrized as $a_0^V/\Lambda^2$ and $a_c^V/\Lambda^2$, where $V = W$ or $Z$.

With the discovery of a Higgs at the LHC in 2012, it is then useful to go to the next higher dimensional representation (dimension 8 operators) in which the gauge symmetry is broken by the conventional Higgs scalar doublet [3,4]. There are 14 operators which can contribute to the anomalous quartic coupling signal. Some of the operators have analogues in the dimension 6 scheme. The CMS collaboration, [5], have used this parametrization, in which the connections between the two schemes are also summarized:

$$\mathcal{L}_{AQGC} = -\frac{e^2 a_0^W}{8 \Lambda^2} F_{\mu\nu} F^{\mu\nu} W^{+a} W_a^{-} \\ -\frac{e^2 a_c^W}{16 \Lambda^2} F_{\mu\nu} F^{\mu\alpha} (W^{+\nu} W_a^{-} + W^{-\nu} W_a^{+}) \\ -e^2 g^2 \frac{\kappa_0^W}{\Lambda^2} F_{\mu\nu} Z^{\mu\nu} W^{+a} W_a^{-} \\ -\frac{e^2 g^2 \kappa_c^W}{2 \Lambda^2} F_{\mu\nu} Z^{\mu\alpha} (W^{+\nu} W_a^{-} + W^{-\nu} W_a^{+}) \\ + \frac{f_{T,0}}{\Lambda^4} \mathrm{Tr}[\tilde{W}_{\mu\nu} \tilde{W}^{\mu\nu}] \times \mathrm{Tr}[\tilde{W}_{\alpha\beta} \tilde{W}^{\alpha\beta}]$$

The energy scale of possible new physics is $\Lambda$, and $g = e/\sin(\theta_W)$, $e$ being the unit electric charge and $\theta_W$ the Weinberg angle. The field tensors are described in [3,4].

The two dimension 6 operators $a_0^W/\Lambda^2$ and $a_c^W/\Lambda^2$ are associated with the $WW\gamma\gamma$ vertex. Among dimension 8 operators, $\kappa_0^W/\Lambda^2$ and $\kappa_c^W/\Lambda^2$ are associated with the $WWZ\gamma$ vertex, whereas the parameter $f_{T,0}/\Lambda^4$ contributes to both vertices. There is a relationship between these two dimension 6 parameters and the dimension 8 parameters $f_{M,i}/\Lambda^4$ as follows [3]:

$$\frac{a_0^W}{\Lambda^2} = -\frac{4M_W^2 f_{M,0}}{g^2 \Lambda^4} - \frac{8M_W^2 f_{M,2}}{g'^2 \Lambda^4}$$

$$\frac{a_c^W}{\Lambda^2} = -\frac{4M_W^2 f_{M,1}}{g^2 \Lambda^4} - \frac{8M_W^2 f_{M,3}}{g'^2 \Lambda^4}$$

where $g' = e/\cos(\theta_W)$ and $M_W$ is the invariant mass of the $W$ boson. This relation provides a translation between limits on dimension 6 operators $a_{0,c}^W$ and $f_{M,j}/\Lambda^4$. It is further required [4] that $f_{M,0} = 2f_{M,2}$ and $f_{M,1} = 2f_{M,3}$ which suppresses contributions to the $WWZ\gamma$ vertex. The complete set of Lagrangian contributions as presented in [4] corresponds to 19 anomalous couplings in total – $f_{S,i}$, $i = 1, 2$, $f_{M,i}$, $i = 0, \dots, 8$ and $f_{T,i}$, $i = 0, \dots, 9$ – each scaled by $1/\Lambda^4$.

Another approach to couplings is the so called K-matrix framework [7], in which the anomalous couplings can be expressed in terms of two parameters $\alpha_4$ and $\alpha_5$, which account for all BSM effects.

The LHC collaborations have published couplings results based on various theoretical frameworks. It is hoped that the collaborations will agree to use at least one common set of parameters to express these limits to enable the reader to make a comparison, and to allow for a possible LHC combination.

## References

1. G. Belanger and F. Boudjema, Phys. Lett. B288, 201 (1992).

2. J.W. Stirling and A. Werthenbach, Eur. Phys. J. C14, 103 (2000); J.W. Stirling and A. Werthenbach, Phys. Lett. B466, 369 (1999); A. Denner et al., Eur. Phys. J. C20, 201 (2001); G. Montagna et al., Phys. Lett. B515, 197 (2001).

3. G. Belanger et al., Eur. Phys. J. C13, 283 (2000).

4. O.J.P. Éboli, M.C. Gonzalez-Garcia, and S.M. Lietti, Phys. Rev. D69, 095005 (2004); O.J.P. Éboli, M.C. Gonzalez-Garcia, and J.K. Mizukoshi, Phys. Rev. D77, 073005 (2006).

5. S. Chatrchyan et al., Phys. Rev. D90, 032008 (2014); S. Chatrchyan et al., Phys. Rev. Lett. 114, 051801 (2015).

6. G. Aad et al., Phys. Rev. Lett. 113, 141803 (2014).

7. A. Albateanu, W. Killian, and J. Reuter, JHEP 0811, 010 (2008).

### $a_0/\Lambda^2$, $a_c/\Lambda^2$

Combining published and unpublished preliminary LEP results the following 95% CL intervals for the QGCs associated with the $ZZ\gamma\gamma$ vertex are derived (CERN-PH-EP/2005-051 or hep-ex/0511027):

$$-0.008 < a_0^2/\Lambda^2 < +0.021$$

$$-0.029 < a_c^2/\Lambda^2 < +0.039$$

Anomalous $Z$ quartic couplings have also been measured by the Tevatron and LHC experiments. As discussed in the review on "Anomalous $W/Z$ quartic couplings," the coupling parameters in the Anomalous QGC Lagrangian may relate to processes involving only the $W$ or only to the $Z$ or to both. Thus, results on all other AQGCs are reported together in the W listings.

VALUE DOCUMENT ID TECN

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

1. ABBIENDI 04L OPAL

2. HEISTER 04A ALEP

3. ACHARD 02G L3

<footnote n="1">1. ABBIENDI 04L select $20 e^+ e^- \rightarrow \nu\bar{\nu}\gamma\gamma$ acoplanar events in the energy range 180–209 GeV and $176 e^+ e^- \rightarrow q\bar{q}\gamma\gamma$ events in the energy range 130–209 GeV. These samples</footnote>
<table><tbody><tr><td>MIYABAYASHI</td><td>95</td><td>PL B347 171</td><td>K. Miyabayashi et al.</td><td>(TOPAZ Collab.)</td></tr><tr><td>ABE</td><td>94C</td><td>PRL 73 25</td><td>K. Abe et al.</td><td>(SLD Collab.)</td></tr><tr><td>ABREU</td><td>94B</td><td>PL B327 386</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>ABREU</td><td>94P</td><td>PL B341 109</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>AKERS</td><td>94P</td><td>ZPHY C63 181</td><td>R. Akers et al.</td><td>(OPAL Collab.)</td></tr><tr><td>BUSKULIC</td><td>94G</td><td>ZPHY C62 179</td><td>D. Buskullic et al.</td><td>(ALEPH Collab.)</td></tr><tr><td>BUSKULIC</td><td>94J</td><td>ZPHY C62 1</td><td>D. Buskullic et al.</td><td>(ALEPH Collab.)</td></tr><tr><td>VILAIN</td><td>94</td><td>PL B320 203</td><td>P. Villain et al.</td><td>(CHARM II Collab.)</td></tr><tr><td>ABREU</td><td>93</td><td>PL B298 236</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>ABREU</td><td>93I</td><td>ZPHY C59 533</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>Also</td><td>93L</td><td>ZPHY C65 709 (errat.)</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>ABREU</td><td>93L</td><td>PL B305 407</td><td>P.D. Acton et al.</td><td>(OPAL Collab.)</td></tr><tr><td>ACTON</td><td>93D</td><td>ZPHY C58 219</td><td>P.D. Acton et al.</td><td>(OPAL Collab.)</td></tr><tr><td>ACTON</td><td>93E</td><td>PL B311 391</td><td>P.D. Acton et al.</td><td>(OPAL Collab.)</td></tr><tr><td>ADRIANI</td><td>93</td><td>PL B301 136</td><td>O. Adriani et al.</td><td>(L3 Collab.)</td></tr><tr><td>ADRIANI</td><td>93</td><td>PL B316 427</td><td>O. Adriani et al.</td><td>(L3 Collab.)</td></tr><tr><td>BUSKULIC</td><td>93L</td><td>PL B313 520</td><td>D. Buskullic et al.</td><td>(ALEPH Collab.)</td></tr><tr><td>NOVIKOV</td><td>93C</td><td>PL B298 453</td><td>V.A. Novikov, L.B. Okun, M.I. Vysotsky (ITEP)</td><td>(TOPAZ Collab.)</td></tr><tr><td>ABREU</td><td>92I</td><td>PL B277 371</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>ABREU</td><td>92M</td><td>PL B289 199</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>ACTON</td><td>92B</td><td>ZPHY C53 539</td><td>D.P. Acton et al.</td><td>(OPAL Collab.)</td></tr><tr><td>ACTON</td><td>92L</td><td>PL B294 436</td><td>P.D. Acton et al.</td><td>(OPAL Collab.)</td></tr><tr><td>ACTON</td><td>92N</td><td>PL B295 357</td><td>P.D. Acton et al.</td><td>(OPAL Collab.)</td></tr><tr><td>ADEVA</td><td>92N</td><td>PL B275 209</td><td>B. Adeva et al.</td><td>(L3 Collab.)</td></tr><tr><td>ADRIANI</td><td>92D</td><td>PL B292 454</td><td>O. Adriani et al.</td><td>(L3 Collab.)</td></tr><tr><td>ALITTI</td><td>92B</td><td>PL B276 354</td><td>J. Aliti et al.</td><td>(UA2 Collab.)</td></tr><tr><td>BUSKULIC</td><td>92D</td><td>PL B292 210</td><td>D. Buskullic et al.</td><td>(ALEPH Collab.)</td></tr><tr><td>BUSKULIC</td><td>92E</td><td>PL B294 145</td><td>D. Buskullic et al.</td><td>(ALEPH Collab.)</td></tr><tr><td>DECAMP</td><td>92</td><td>PL B216 253</td><td>D. Decamp et al.</td><td>(ALEPH Collab.)</td></tr><tr><td>ABE</td><td>91E</td><td>PRL 67 1502</td><td>F. Abe et al.</td><td>(CDF Collab.)</td></tr><tr><td>ABREU</td><td>91H</td><td>ZPHY C50 185</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>ACTON</td><td>91B</td><td>PL B273 338</td><td>D.P. Acton et al.</td><td>(OPAL Collab.)</td></tr><tr><td>ADACHI</td><td>91</td><td>PL B255 613</td><td>L. Adachi et al.</td><td>(TOPAZ Collab.)</td></tr><tr><td>ADEVA</td><td>91I</td><td>PL B259 199</td><td>B. Adeva et al.</td><td>(L3 Collab.)</td></tr><tr><td>AKRAWY</td><td>91F</td><td>PL B257 531</td><td>M.Z. Akrawy et al.</td><td>(OPAL Collab.)</td></tr><tr><td>DECAMP</td><td>91B</td><td>PL B259 377</td><td>D. Decamp et al.</td><td>(ALEPH Collab.)</td></tr><tr><td>DECAMP</td><td>91J</td><td>PL B266 218</td><td>D. Decamp et al.</td><td>(ALEPH Collab.)</td></tr><tr><td>JACOBSEN</td><td>91J</td><td>PL B267 3347</td><td>R.J. JacobSEN et al.</td><td>(TOPAZ Collab.)</td></tr><tr><td>SHIMONAKA</td><td>91</td><td>PL B268 457</td><td>A. Shimonaka et al.</td><td>(TOPAZ Collab.)</td></tr><tr><td>ABE</td><td>90I</td><td>ZPHY C48 13</td><td>K. Abe et al.</td><td>(VENUS Collab.)</td></tr><tr><td>ABRAMS</td><td>90I</td><td>PRL 64 1334</td><td>G.S. Abrams et al.</td><td>(Mark II Collab.)</td></tr><tr><td>AKRAWY</td><td>90J</td><td>PL B246 285</td><td>M.Z. Akrawy et al.</td><td>(OPAL Collab.)</td></tr><tr><td>BEHREND</td><td>90D</td><td>ZPHY C47 333</td><td>H.J. Behrend et al.</td><td>(CELLO Collab.)</td></tr><tr><td>BRAUNSCH...</td><td>90</td><td>ZPHY C48 433</td><td>W. Braunschweig et al.</td><td>(TASSO Collab.)</td></tr><tr><td>ELSEN</td><td>90</td><td>ZPHY C46 349</td><td>E. Elsen et al.</td><td>(JADE Collab.)</td></tr><tr><td>HEGNER</td><td>90</td><td>ZPHY C46 547</td><td>S. Hegner et al.</td><td>(JADE Collab.)</td></tr><tr><td>STUART</td><td>90</td><td>PRL 64 983</td><td>D. Stuart et al.</td><td>(AMY Collab.)</td></tr><tr><td>ABE</td><td>89</td><td>PRL 62 613</td><td>F. Abe et al.</td><td>(CDF Collab.)</td></tr><tr><td>ABE</td><td>89C</td><td>PRL 63 720</td><td>F. Abe et al.</td><td>(CDF Collab.)</td></tr><tr><td>ABE</td><td>89L</td><td>PL B232 425</td><td>K. Abe et al.</td><td>(VENUS Collab.)</td></tr><tr><td>ABRAMS</td><td>89B</td><td>PRL 63 2173</td><td>G.S. Abrams et al.</td><td>(Mark II Collab.)</td></tr><tr><td>ABRAMS</td><td>89D</td><td>PRL 63 2780</td><td>G.S. Abrams et al.</td><td>(Mark II Collab.)</td></tr><tr><td>ALBAJAR</td><td>89</td><td>ZPHY C44 15</td><td>C. Albajar et al.</td><td>(UA1 Collab.)</td></tr><tr><td>BACALA</td><td>89</td><td>PL B218 112</td><td>A. Bacala et al.</td><td>(AMY Collab.)</td></tr><tr><td>BAND</td><td>89</td><td>PL B218 369</td><td>H.R. Band et al.</td><td>(MAC Collab.)</td></tr><tr><td>GREENSHAW</td><td>89</td><td>ZPHY C42 1</td><td>T. Greenshaw et al.</td><td>(JADE Collab.)</td></tr><tr><td>OULD-SAADA</td><td>89</td><td>ZPHY C44 567</td><td>F. Ould-SaadA et al.</td><td>(JADE Collab.)</td></tr><tr><td>SAGAWA</td><td>89</td><td>PRL 63 2341</td><td>H. Sagawa et al.</td><td>(AMY Collab.)</td></tr><tr><td>ADACHI</td><td>88C</td><td>PL B208 319</td><td>L. Adachi et al.</td><td>(TOPAZ Collab.)</td></tr><tr><td>ADEVA</td><td>88</td><td>PR D38 2665</td><td>B. Adeva et al.</td><td>(Mark-J Collab.)</td></tr><tr><td>BRAUNSCH...</td><td>88D</td><td>ZPHY C40 163</td><td>W. Braunschweig et al.</td><td>(TASSO Collab.)</td></tr><tr><td>ANSARI</td><td>87</td><td>PL B186 440</td><td>R. Ansari et al.</td><td>(UA2 Collab.)</td></tr><tr><td>BEHREND</td><td>87C</td><td>PRL 191 209</td><td>H.J. Behrend et al.</td><td>(CELLO Collab.)</td></tr><tr><td>BARTEL</td><td>86C</td><td>ZPHY C30 371</td><td>W. Bartel et al.</td><td>(JADE Collab.)</td></tr><tr><td>Also</td><td>86</td><td>ZPHY C26 507</td><td>W. Bartel et al.</td><td>(JADE Collab.)</td></tr><tr><td>Also</td><td>86</td><td>PL 108B 140</td><td>W. Bartel et al.</td><td>(JADE Collab.)</td></tr><tr><td>ASH</td><td>85</td><td>PRL 55 1831</td><td>W.W. Ash et al.</td><td>(MAC Collab.)</td></tr><tr><td>BARTEL</td><td>85F</td><td>PRL 161B 188</td><td>W. Bartel et al.</td><td>(JADE Collab.)</td></tr><tr><td>DERRICK</td><td>85</td><td>PR D31 2352</td><td>M. Derrick et al.</td><td>(HRS Collab.)</td></tr><tr><td>FERNANDEZ</td><td>85A</td><td>PRL 54 1620</td><td>E. Fernandez et al.</td><td>(MAC Collab.)</td></tr><tr><td>LEVI</td><td>83</td><td>PRL 51 1941</td><td>M.E. Levi et al.</td><td>(Mark II Collab.)</td></tr><tr><td>BEHREND</td><td>82</td><td>PL 114B 282</td><td>H.J. Behrend et al.</td><td>(CELLO Collab.)</td></tr><tr><td>BRANDELIK</td><td>82C</td><td>PL 110B 173</td><td>R. Brandelik et al.</td><td>(TASSO Collab.)</td></tr></tbody></table>

<table><tbody><tr><td>125.22 ± 0.11 ± 0.09</td><td>9 AAD</td><td>23BP ATLS</td><td>pp, 7, 8, 13 TeV, γγ</td></tr><tr><td>125.78 ± 0.26</td><td>10 SIRUNYAN</td><td>20L CMS</td><td>pp, 13 TeV, γγ</td></tr><tr><td>125.38 ± 0.14</td><td>11 SIRUNYAN</td><td>20L CMS</td><td>pp, 7, 8, 13 TeV, γγ, ZZ* → 4ℓ</td></tr><tr><td>124.79 ± 0.37</td><td>12 AABOUD</td><td>18BMATLS</td><td>pp, 13 TeV, ZZ* → 4ℓ</td></tr><tr><td>124.93 ± 0.40</td><td>13 AABOUD</td><td>18BMATLS</td><td>pp, 13 TeV, γγ</td></tr><tr><td>124.86 ± 0.27</td><td>3 AABOUD</td><td>18BMATLS</td><td>pp, 13 TeV, γγ, ZZ* → 4ℓ</td></tr><tr><td>124.97 ± 0.24</td><td>3.14 AABOUD</td><td>18BMATLS</td><td>pp, 7, 8, 13 TeV, γγ, ZZ* → 4ℓ</td></tr><tr><td>125.26 ± 0.20 ± 0.08</td><td>15 SIRUNYAN</td><td>17AV CMS</td><td>pp, 13 TeV, ZZ* → 4ℓ</td></tr><tr><td>125.07 ± 0.25 ± 0.14</td><td>4 AAD</td><td>15B LHC</td><td>pp, 7, 8 TeV, γγ</td></tr><tr><td>125.15 ± 0.37 ± 0.15</td><td>4 AAD</td><td>15B LHC</td><td>pp, 7, 8 TeV, ZZ* → 4ℓ</td></tr><tr><td>126.02 ± 0.43 ± 0.27</td><td>AAD</td><td>15B ATLS</td><td>pp, 7, 8 TeV, γγ</td></tr><tr><td>124.51 ± 0.52 ± 0.04</td><td>AAD</td><td>15B ATLS</td><td>pp, 7, 8 TeV, ZZ* → 4ℓ</td></tr><tr><td>125.59 ± 0.42 ± 0.17</td><td>AAD</td><td>15B CMS</td><td>pp, 7, 8 TeV, ZZ* → 4ℓ</td></tr><tr><td>125.02 + 0.26 ± 0.14</td><td>16 KHACHATRY...15AM CMS</td><td>pp, 7, 8 TeV</td><td></td></tr><tr><td>125.07 ± 0.25 ± 0.14</td><td>3,17 AAD</td><td>14W ATLS</td><td>pp, 7, 8 TeV</td></tr><tr><td>125.15 ± 0.37 ± 0.15</td><td>17 AAD</td><td>14W ATLS</td><td>pp, 7, 8 TeV, γγ</td></tr><tr><td>126.02 ± 0.43 ± 0.27</td><td>17 AAD</td><td>14W ATLS</td><td>pp, 7, 8 TeV, ZZ* → 4ℓ</td></tr><tr><td>124.51 ± 0.52 ± 0.04</td><td>18 CHATRCHYAN 14AA CMS</td><td>pp, 7, 8 TeV, ZZ* → 4ℓ</td><td></td></tr><tr><td>125.46 ± 0.4 ± 0.2</td><td>19 CHATRCHYAN 14K CMS</td><td>pp, 7, 8 TeV, ττ</td><td></td></tr><tr><td>122 ± 7</td><td>20 KHACHATRY...14P CMS</td><td>pp, 7, 8 TeV, γγ</td><td></td></tr><tr><td>124.70 ± 0.31 ± 0.15</td><td>3,21 AAD</td><td>13AK ATLS</td><td>pp, 7, 8 TeV</td></tr><tr><td>125.5 ± 0.2 + 0.5</td><td>21 AAD</td><td>13AK ATLS</td><td>pp, 7, 8 TeV, γγ</td></tr><tr><td>126.8 ± 0.2 ± 0.7</td><td>21 AAD</td><td>13AK ATLS</td><td>pp, 7, 8 TeV, ZZ* → 4ℓ</td></tr><tr><td>124.3 + 0.6 ± 0.5</td><td>3,22 CHATRCHYAN 13J CMS</td><td>pp, 7, 8 TeV</td><td></td></tr><tr><td>125.4 ± 0.4 ± 0.2</td><td>22 CHATRCHYAN 13J CMS</td><td>pp, 7, 8 TeV, ZZ* → 4ℓ</td><td></td></tr><tr><td>126.2 ± 0.6 ± 0.2</td><td>3,23 AAD</td><td>12AI ATLS</td><td>pp, 7, 8 TeV</td></tr><tr><td>126.0 ± 0.4 ± 0.4</td><td>3,24 CHATRCHYAN 12N CMS</td><td>pp, 7, 8 TeV</td><td></td></tr></tbody></table>

WEIGHTED AVERAGE
125.20±0.11 (Error scaled by 1.4)

<figure><img src="image_407.png" /></figure>

H MASS (GeV)

¹AAD 23BP combine 13 TeV results of $H \to \gamma\gamma$ (AAD 23BU) and $H \to ZZ^* \to 4\ell$ where $\ell = e, \mu$ (AAD 23AU) using 140 fb$^{-1}$ of pp collision data. The result is 125.10 ± 0.09(stat) ± 0.07(syst) GeV.

²SIRUNYAN 20L result of $H \to \gamma\gamma$ is combined with that of $H \to ZZ^* \to 4\ell$ where $\ell = e, \mu$ (SIRUNYAN 17AV).

³Combined value from $\gamma\gamma$ and $ZZ^* \to 4\ell$ final states.

⁴ATLAS and CMS data are fitted simultaneously.

⁵AAD 23AU use 139 fb$^{-1}$ of pp collisions at $E_{cm} = 13$ TeV with $H \to ZZ^* \to 4\ell$ where $\ell = e, \mu$.

⁶AAD 23AU combine 13 TeV results with 7 and 8 TeV results (AAD 14W).

⁷AAD 23BP combine 13 TeV results with 7 and 8 TeV results. The result is 125.11 ± 0.09(stat) ± 0.06(syst) GeV.

⁸AAD 23BU use 140 fb$^{-1}$ of pp collisions at $E_{cm} = 13$ TeV with $H \to \gamma\gamma$.

⁹AAD 23BU combine 13 TeV results with 7 and 8 TeV results (AAD 15B).

¹⁰SIRUNYAN 20L use 35.9 fb$^{-1}$ of pp collisions at $E_{cm} = 13$ TeV with $H \to \gamma\gamma$.

¹¹SIRUNYAN 20L combine 13 TeV results with 7 and 8 TeV results (KHACHATRYAN 15AM).

¹²AABOUD 18BM use 36.1 fb$^{-1}$ of pp collisions at $E_{cm} = 13$ TeV with $H \to ZZ^* \to 4\ell$ where $\ell = e, \mu$.

¹³AABOUD 18BM use 36.1 fb$^{-1}$ of pp collisions at $E_{cm} = 13$ TeV with $H \to \gamma\gamma$.

¹⁴AABOUD 18BM combine 13 TeV results with 7 and 8 TeV results. Other combined results are summarized in their Fig. 4.

¹⁵SIRUNYAN 17AV use 35.9 fb$^{-1}$ of pp collisions at $E_{cm} = 13$ TeV with $H \to ZZ^* \to 4\ell$ where $\ell = e, \mu$.

¹⁶KHACHATRYAN 15AM use up to 5.1 fb$^{-1}$ of pp collisions at $E_{cm} = 7$ TeV and up to 19.7 fb$^{-1}$ at $E_{cm} = 8$ TeV.

¹⁷AAD 14W use 4.5 fb$^{-1}$ of pp collisions at $E_{cm} = 7$ TeV and 20.3 fb$^{-1}$ at 8 TeV.

¹⁸CHATRCHYAN 14AA use 5.1 fb$^{-1}$ of pp collisions at $E_{cm} = 7$ TeV and 19.7 fb$^{-1}$ at $E_{cm} = 8$ TeV.

¹⁹CHATRCHYAN 14K use 4.9 fb$^{-1}$ of pp collisions at $E_{cm} = 7$ TeV and 19.7 fb$^{-1}$ at $E_{cm} = 8$ TeV.

H

was $H^0$

$$J = 0$$

In the following *H* refers to the signal that has been discovered in the Higgs searches. Whereas the observed signal is labeled as a spin 0 particle and is called a Higgs Boson, the detailed properties of *H* and its role in the context of electroweak symmetry breaking need to be further clarified. These issues are addressed by the measurements listed below.

Concerning mass limits and cross section limits that have been obtained in the searches for neutral and charged Higgs bosons, see the sections "Searches for Neutral Higgs Bosons" and "Searches for Charged Higgs Bosons ($H^\pm$ and $H^{\pm\pm}$)", respectively.

H MASS

<table><thead><tr><th>VALUE (GeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>125.20±0.11</td><td>OUR AVERAGE</td><td></td><td>Error includes scale factor of 1.4. See the ideogram below.</td></tr><tr><td>125.10±0.11</td><td>1 AAD</td><td>23BP ATLS</td><td>pp, 13 TeV, γγ, ZZ* → 4ℓ</td></tr><tr><td>125.46±0.16</td><td>2 SIRUNYAN</td><td>20L CMS</td><td>pp, 13 TeV, γγ, ZZ* → 4ℓ</td></tr><tr><td>125.09±0.21±0.11</td><td>3,4 AAD</td><td>15B LHC</td><td>pp, 7, 8 TeV</td></tr><tr><td>• • •</td><td></td><td></td><td>We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>124.99±0.18±0.04</td><td>5 AAD</td><td>23AU ATLS</td><td>pp, 13 TeV, ZZ* → 4ℓ</td></tr><tr><td>124.94±0.17±0.03</td><td>6 AAD</td><td>23AU ATLS</td><td>pp, 7, 8, 13 TeV, ZZ* → 4ℓ</td></tr><tr><td>125.11±0.11</td><td>7 AAD</td><td>23BP ATLS</td><td>pp, 7, 8, 13 TeV, γγ, ZZ* → 4ℓ</td></tr><tr><td>125.17±0.11±0.09</td><td>8 AAD</td><td>23BU ATLS</td><td>pp, 13 TeV, γγ</td></tr></tbody></table>
20 KHACHRYAN 14P use 5.1 fb⁻¹ of pp collisions at $E_{cm} = 7$ TeV and 19.7 fb⁻¹ at $E_{cm} = 8$ TeV.

21 AAD 13AK use 4.7 fb⁻¹ of pp collisions at $E_{cm} = 7$ TeV and 20.7 fb⁻¹ at $E_{cm} = 8$ TeV. Superseded by AAD 14W.

22 CHATRCHYAN 13J use 5.1 fb⁻¹ of pp collisions at $E_{cm} = 7$ TeV and 12.2 fb⁻¹ at $E_{cm} = 8$ TeV.

22 AAD 12AI obtain results based on 4.6–4.8 fb⁻¹ of pp collisions at $E_{cm} = 7$ TeV and 5.8–5.9 fb⁻¹ at $E_{cm} = 8$ TeV. An excess of events over background with a local significance of 5.9 σ is observed at $m_H = 126$ GeV. See also AAD 12DA.

24 CHATRCHYAN 12N obtain results based on 4.9–5.1 fb⁻¹ of pp collisions at $E_{cm} = 7$ TeV and 5.1–5.3 fb⁻¹ at $E_{cm} = 8$ TeV. An excess of events over background with a local significance of 5.0 σ is observed at about $m_H = 125$ GeV. See also CHATRCHYAN 12BY and CHATRCHYAN 13Y.

## H SPIN AND CP PROPERTIES

The observation of the signal in the γγ final state rules out the possibility that the discovered particle has spin 1, as a consequence of the Landau-Yang theorem. This argument relies on the assumptions that the decaying particle is an on-shell resonance and that the decay products are indeed two photons rather than two pairs of boosted photons, which each could in principle be misidentified as a single photon.

Concerning distinguishing the spin 0 hypothesis from a spin 2 hypothesis, some care has to be taken in modelling the latter in order to ensure that the discriminating power is actually based on the spin properties rather than on unphysical behavior that may affect the model of the spin 2 state.

Under the assumption that the observed signal consists of a single state rather than an overlap of more than one resonance, it is sufficient to discriminate between distinct hypotheses in the spin analyses. On the other hand, the determination of the CP properties is in general much more difficult since in principle the observed state could consist of any admixture of CP-even and CP-odd components. As a first step, the compatibility of the data with distinct hypotheses of pure CP-even and pure CP-odd states with different spin assignments has been investigated. In order to treat the case of a possible mixing of different CP states, certain cross section ratios are considered. Those cross section ratios need to be distinguished from the amount of mixing between a CP-even and a CP-odd state, as the cross section ratios depend in addition also on the coupling strengths of the CP-even and CP-odd components to the involved particles. A small relative coupling implies a small sensitivity of the corresponding cross section ratio to effects of CP mixing.

### VALUE DOCUMENT ID TECN COMMENT

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

<table><tr><td>1 AAD</td><td>23AK ATLS</td><td>H → ττ, 13 TeV</td></tr><tr><td>2 AAD</td><td>23AN ATLS</td><td>H → γγ, VBF, 13 TeV</td></tr><tr><td>3 TUMASYAN</td><td>23AJ CMS</td><td>H → ττ, 13 TeV</td></tr><tr><td>4 TUMASYAN</td><td>23P CMS</td><td>t<span style="text-decoration: overline">t<span style="text-decoration: overline">H</span></span>, H → WW*, ττ, 13 TeV</td></tr><tr><td>5 AAD</td><td>22V ATLS</td><td>WW* (→ eνμν) + 2j, 13 TeV</td></tr><tr><td>6 TUMASYAN</td><td>22Y CMS</td><td>H → ττ, 13 TeV</td></tr><tr><td>7 AAD</td><td>20N ATLS</td><td>H → ττ, VBF, 13 TeV</td></tr><tr><td>8 AAD</td><td>20Z ATLS</td><td>t<span style="text-decoration: overline">t<span style="text-decoration: overline">H</span></span>, H → γγ, 13 TeV</td></tr><tr><td>9 SIRUNYAN</td><td>20AS CMS</td><td>t<span style="text-decoration: overline">t<span style="text-decoration: overline">H</span></span>, H → γγ, 13 TeV</td></tr><tr><td>10 SIRUNYAN</td><td>19BL CMS</td><td>pp, 7, 8, 13 TeV, ZZ* / ZZ → 4ℓ</td></tr><tr><td>11 SIRUNYAN</td><td>19BZ CMS</td><td>pp → H + 2jets (VBF, ggF, V H), H → ττ, 13 TeV</td></tr><tr><td>12 AABOUD</td><td>18AJ ATLS</td><td>H → ZZ* → 4ℓ (ℓ = e, μ), 13 TeV</td></tr><tr><td>13 SIRUNYAN</td><td>17AM CMS</td><td>pp → H + ≥2j, H → 4ℓ (ℓ = e, μ)</td></tr><tr><td>14 AAD</td><td>16 ATLS</td><td>H → γγ</td></tr><tr><td>15 AAD</td><td>16BL ATLS</td><td>pp → Hj<span style="text-decoration: overline">j</span>X (VBF), H → ττ, 8 TeV</td></tr><tr><td>16 KHACHATRY..16AB CMS</td><td>pp → WH, ZH, H → b<span style="text-decoration: overline">b</span>, 8 TeV</td></tr><tr><td>17 AAD</td><td>15AX ATLS</td><td>H → WW*</td></tr><tr><td>18 AAD</td><td>15CI ATLS</td><td>H → ZZ*, WW*, γγ</td></tr><tr><td>19 AALTONEN</td><td>15 TEVA</td><td>p<span style="text-decoration: overline">b</span> → WH, ZH, H → b<span style="text-decoration: overline">b</span></td></tr><tr><td>20 AALTONEN</td><td>15B CDF</td><td>p<span style="text-decoration: overline">b</span> → WH, ZH, H → b<span style="text-decoration: overline">b</span></td></tr><tr><td>21 KHACHATRY..15Y CMS</td><td>H → 4ℓ, WW*, γγ</td></tr><tr><td>22 ABAZOV</td><td>14F D0</td><td>p<span style="text-decoration: overline">b</span> → WH, ZH, H → b<span style="text-decoration: overline">b</span></td></tr><tr><td>23 CHATRCHYAN14AA CMS</td><td>H → ZZ*</td></tr><tr><td>24 CHATRCHYAN14G CMS</td><td>H → WW*</td></tr><tr><td>25 KHACHATRY..14P CMS</td><td>H → γγ</td></tr><tr><td>26 AAD</td><td>13AJ ATLS</td><td>H → γγ, ZZ* → 4ℓ, WW* → ℓνℓν</td></tr><tr><td>27 CHATRCHYAN13J CMS</td><td>H → ZZ*</td></tr></table>

1 AAD 23AK measure the CP structure of the τ Yukawa coupling using 139 fb⁻¹ of data at $E_{cm} = 13$ TeV. The CP-mixing angle α for τ Yukawa coupling is measured to be 9 ± 16°. The data disfavour the pure CP-odd ($α = 90°$) at 3.4 σ.

2 AAD 23AN test CP invariance in H production via VBF using $H → γγ$ decay channel with 139 fb⁻¹ at $E_{cm} = 13$ TeV. By using the Optimal Observable method, the data constrain parameters describing the strength of the CP-odd component in the coupling between Higgs and W/Z in effective field theory bases: d in the HISZ basis and $c_H\overline{W}$ in the Warsaw basis. The result is -0.010 ≤ d̄ ≤ 0.040 and -0.15 ≤ $c_H\overline{W}$ ≤ 0.67 at 68% CL. See their Table I, which shows the result combined with $H → ττ$ (AAD 20N): -0.012 ≤ d ≤ 0.030 at 68% CL.

3 TUMASYAN 23AJ constraint anomalous couplings of the Higgs to vector bosons and fermions using $pp → H → ττ$ at $E_{cm} = 13$ TeV with 138 fb⁻¹ data. The CP-violating parameter in gluon-fusion production $f_{a3}^{ggH}$ and the effective mixing angle $α^{Hff}$ are given in their Table VII with $H → ττ$ and $f_{a3}^{ggH}$ in their Table X with $H → ττ$ and $H → 4ℓ$. Using the VBF production analysis, the CP-violating parameter $f_{a3}$ and the CP-conserving parameters $f_{a2}$, $f_{Λ1}$ and $f_{Λ1}^{Zγ}$ are given in their Table VIII with $H → ττ$ and Table IX with $H → ττ$ and $H → 4ℓ$. The CP-violating parameter $f_{CP}^{HtT}$ is constrained to be 0.03 ± 0.17 at 0.03 using $H → ττ$, $H → 4ℓ$ and $H → γγ$.

4 TUMASYAN 23P constrain $\bar{\kappa}_t$ from $t\overline{t}H$ and $tH$ decaying $H → WW^*$ and $H → ττ$ (multilepton decay mode) with 138 fb⁻¹ pp collision data at $E_{cm} = 13$ TeV. The $\bar{\kappa}_t$ is constrained to be $|\bar{\kappa}_t| \le 1.4$ at 95% CL by fixing $\kappa_t = 1$ and other couplings ($\kappa_V$ etc.) to the SM values, see their Table 6 (see their Fig. 9 for 2-dim contours). The fractional contribution of the CP-odd component $|f_{CP}^{HtT}|$ is constrained to (0.24, 0.81) at 68% CL with a best fit value of 0.59. The combination with other $t\overline{t}H$ decaying $H → γγ$ (SIRUNYAN 20AS) and $H → 4ℓ$ (SIRUNYAN 21AE) constraints to be $|\bar{\kappa}_t| \le 1.07$ at 95% CL and $|f_{CP}^{HtT}| < 0.55$ at 68% CL with a best fit value of 0.28.

5 AAD 22V measure the CP properties of the effective Higgs-gluon interaction using gluon fusion $H → WW^*$ → eνμν plus two jets with 36.1 fb⁻¹ of data at $E_{cm} = 13$ TeV. The measured tangent of the CP-mixing angle $\tan α$ is 0.0 ± 0.4 ± 0.3 assuming the standard model HVV couplings. See their Fig. 6.

6 TUMASYAN 22Y measure the CP structure of the τ Yukawa coupling using 137 fb⁻¹ of data at $E_{cm} = 13$ TeV. The CP-mixing angle α for τ Yukawa coupling is measured to be -1 ± 19°. The data disfavour the pure CP-odd ($α = 90°$) at 3.0 σ.

7 AAD 20N test CP invariance in H production via VBF using $H → ττ$ decay channel with 36.1 fb⁻¹ at $E_{cm} = 13$ TeV. By using the Optimal Observable method, the data constrain a parameter $d$, which is for the strength of CP violation in an effective field theory, to be -0.090 ≤ d̄ ≤ 0.035 at 68% CL (see their Fig. 6).

8 AAD 20Z exclude a CP-mixing angle $α$, $|α| > 43°$ at 95% CL, where $α = 0$ represents the Standard Model, in 139 fb⁻¹ of data at $E_{cm} = 13$ TeV. The pure CP-odd structure of the top Yukawa coupling ($α = 90°$) is excluded at 3.9 σ.

9 SIRUNYAN 20AS exclude the pure CP-odd structure of the top Yukawa coupling at 3.2 σ using $t\overline{t}H$, $H → γγ$ in 137 fb⁻¹ of data at $E_{cm} = 13$ TeV. The fractional contribution of the CP-odd component $f_{CP}^{HtT}$ is measured to be 0.00 ± 0.33.

10 SIRUNYAN 19BL measure the anomalous HVV couplings from on-shell and off-shell production in the 4ℓ final state. Data of 80.2 fb⁻¹ at 13 TeV, 19.7 fb⁻¹ at 8 TeV, and 5.1 fb⁻¹ at 7 TeV are used. See their Tables VI and VII for anomalous HVV couplings of CP-violating and CP-conserving parameters with on- and off-shells.

11 SIRUNYAN 19BZ constrain anomalous HVV couplings of the Higgs boson with data of 35.9 fb⁻¹ at $E_{cm} = 13$ TeV using Higgs boson candidates with two jets produced in VBF, ggF, and $H$ that decay to $ττ$. See their Table 2 and Fig. 10, which show 68% CL and 95% CL intervals. Combining those with the $H → 4ℓ$ (SIRUNYAN 19BL, on-shell scenario), results shown in their Tables 3, 4, and 11 are obtained. A CP-violating parameter is set to be $f_{a3}cos(φ_{a3}) = (0.00 ± 0.27) × 10^{-3}$ and CP-conserving parameters are $f_{a2}cos(φ_{a2}) = (0.08 ± 0.04) × 10^{-3}$, $f_{Λ1}cos(φ_{Λ1}) = (0.00 ± 0.53) × 10^{-3}$, and $f_{Λ1}^{Zγ}cos(φ_{Λ1}^{Zγ}) = (0.00 ± 1.13) × 10^{-3}$.

12 AABOUD 18AJ study the tensor structure of the Higgs boson couplings using an effective Lagrangian with 36.1 fb⁻¹ of pp collision data at $E_{cm} = 13$ TeV. Constraints are set on the non-Standard-Model CP-even and CP-odd couplings to Z bosons and on the CP-odd coupling to gluons. See their Figs. 9 and 10, and Tables 10 and 11.

13 SIRUNYAN 17AM constrain anomalous couplings of the Higgs boson with 5.1 fb⁻¹ of pp collisions at $E_{cm} = 7$ TeV, 19.7 fb⁻¹ at $E_{cm} = 8$ TeV, and 38.6 fb⁻¹ at $E_{cm} = 13$ TeV. See their Table 3 and Fig. 3, which show 68% CL and 95% CL intervals. A CP violation parameter $f_{a3}$ is set to be $f_{a3}cos(φ_{a3}) = [-0.38, 0.46]$ at 95% CL ($φ_{a3} = 0$ or $π$).

14 AAD 16 study $H → γγ$ with an effective Lagrangian including CP even and odd terms in 20.3 fb⁻¹ of pp collisions at $E_{cm} = 8$ TeV. The data is consistent with the expectations for the Higgs boson of the Standard Model. Limits on anomalous couplings are also given.

15 AAD 16BL study VBF $H → ττ$ with an effective Lagrangian including a CP odd term in 20.3 fb⁻¹ of pp collisions at $E_{cm} = 8$ TeV. The measurement is consistent with the expectation of the Standard Model. The CP-mixing parameter $d̄$ (a dimensionless coupling $d̄ = (m_W^2/Λ^2) f_W^2$) is constrained to the interval of (-0.11, 0.05) at 68% CL under the assumption of $d̄ = d̄_B$.

16 KHACHATRYAN 16AB search for anomalous pseudoscalar couplings of the Higgs boson to W and Z with 18.9 fb⁻¹ of pp collisions at $E_{cm} = 8$ TeV. See their Tables 5 and Figs 5 and 6 for limits on possible anomalous pseudoscalar coupling parameters.

17 AAD 15AX compare the $J^{CP} = 0^+$ Standard Model assignment with other $J^{CP}$ hypotheses in 20.3 fb⁻¹ of pp collisions at $E_{cm} = 8$ TeV, using the process $H → WW^*$ → eνμν. 2⁺ hypotheses are excluded at 84.5–99.4% CL, 0⁻ at 96.5% CL, 0⁺ (field strength coupling) at 70.8% CL. See their Fig. 19 for limits on possible CP mixture parameters.

18 AAD 15CI compare the $J^{CP} = 0^+$ Standard Model assignment with other $J^{CP}$ hypotheses in 4.5 fb⁻¹ of pp collisions at $E_{cm} = 7$ TeV and 20.3 fb⁻¹ at $E_{cm} = 8$ TeV, using the processes $H → ZZ^*$ → 4ℓ, $H → γγ$ and combine with AAD 15AX data. 0⁺ (field strength coupling), 0⁻ and several 2⁺ hypotheses are excluded at more than 99.9% CL. See their Tables 7–9 for limits on possible CP mixture parameters.

19 AALTONEN 15 combine AALTONEN 15B and ABAZOV 14F data. An upper limit of 0.36 of the Standard Model production rate at 95% CL is obtained both for a 0⁻ and a 2⁺ state. Assuming the SM event rate, the $J^{CP} = 0^-$ (2⁺) hypothesis is excluded at the 5.0σ (4.9σ) level.

20 AALTONEN 15B compare the $J^{CP} = 0^+$ Standard Model assignment with other $J^{CP}$ hypotheses in 9.45 fb⁻¹ of $p\overline{p}$ collisions at $E_{cm} = 1.96$ TeV, using the processes $ZH → ℓℓb\overline{b}$, $WH → ℓνb\overline{b}$, and $ZH → ννb\overline{b}$. Bounds on the production rates of 0⁻ and 2⁺ (graviton-like) states are set, see their tables II and III.

21 KHACHATRYAN 15Y compare the $J^{CP} = 0^+$ Standard Model assignment with other $J^{CP}$ hypotheses in up to 5.1 fb⁻¹ of pp collisions at $E_{cm} = 7$ TeV and up to 19.7 fb⁻¹ at $E_{cm} = 8$ TeV, using the processes $H → 4ℓ$, $H → WW^*$, and $H → γγ$. 0⁻ is excluded at 99.98% CL, and several 2⁺ hypotheses are excluded at more than 99% CL. Spin 1 models are excluded at more than 99.999% CL in $ZZ^*$ and $WW^*$ modes. Limits on anomalous couplings and several cross section fractions, treating the case of CP-mixed states, are also given.

22 ABAZOV 14F compare the $J^{CP} = 0^+$ Standard Model assignment with $J^{CP} = 0^-$ and 2⁺ (graviton-like) coupling hypotheses in up to 9.7 fb⁻¹ of $p\overline{p}$ collisions at $E_{cm} = 1.96$ TeV. They use kinematic correlations between the decay products of the vector boson and the Higgs boson in the final states $ZH → ℓℓb\overline{b}$, $WH → ℓνb\overline{b}$, and $ZH →$
$\nu\bar{\nu}b\bar{b}$. The $0^{-}(2^{+})$ hypothesis is excluded at 97.6% CL (99.0% CL). In order to treat the case of a possible mixture of a $0^{+}$ state with another $J^{CP}$ state, the cross section fractions $f_X = \sigma_X/(\sigma_{0+} + \sigma_X)$ are considered, where $X = 0^{-}, 2^{+}$. Values for $f_{0-}$ ($f_{2+}$) above 0.80 (0.67) are excluded at 95% CL under the assumption that the total cross section is that of the SM Higgs boson.

23 CHATRCHYAN 14AA compare the $J^{CP} = 0^{+}$ Standard Model assignment with various $J^{CP}$ hypotheses in 5.1 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 7$ TeV and 19.7 fb$^{-1}$ at $E_{cm} = 8$ TeV. $J^{CP} = 0^{-}$ and $1^{+}$ hypotheses are excluded at 99% CL, and several $J = 2$ hypotheses are excluded at 95% CL. In order to treat the case of a possible mixture of a $0^{+}$ state with another $J^{CP}$ state, the cross section fraction $f_{\bar{a}_3} = |a_3|^2 \sigma_3 / (|a_1|^2 \sigma_1 + |a_2|^2 \sigma_2 + |a_3|^2 \sigma_3)$ is considered, where the case $a_3 = 1$, $a_1 = a_2 = 0$ corresponds to a pure CP-odd state. Assuming $a_2 = 0$, a value for $f_{\bar{a}_3}$ above 0.51 is excluded at 95% CL.

24 CHATRCHYAN 14G compare the $J^{CP} = 0^{+}$ Standard Model assignment with $J^{CP} = 0^{-}$ and $2^{+}$ (graviton-like coupling) hypotheses in 4.9 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 7$ TeV and 19.4 fb$^{-1}$ at $E_{cm} = 8$ TeV. Varying the fraction of the production of the $2^{+}$ state via $gg$ and $q\bar{q}g$, $2^{+}$ hypotheses are disfavored at CL between 83.7 and 99.8%. The $0^{-}$ hypothesis is disfavored against $0^{+}$ at the 65.3% CL.

25 KHACHATRYAN 14P compare the $J^{CP} = 0^{+}$ Standard Model assignment with a $2^{+}$ (graviton-like) coupling hypothesis in 5.1 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 7$ TeV and 19.7 fb$^{-1}$ at $E_{cm} = 8$ TeV. Varying the fraction of the production of the $2^{+}$ state via $gg$ and $q\bar{q}g$, $2^{+}$ hypotheses are disfavored at CL between 71 and 94%.

26 AAD 13AJ compare the spin 0, CP-even hypothesis with specific alternative hypotheses of spin 0, CP-odd, spin 1, CP-even and CP-odd, and spin 2, CP-even models using the Higgs boson decays $H \to \gamma\gamma$, $H \to ZZ^* \to 4\ell$ and $H \to WW^* \to \ell\nu\ell\nu$ and combinations thereof. The data are compatible with the spin 0, CP-even hypothesis, while all other tested hypotheses are excluded at confidence levels above 97.8%.

27 CHATRCHYAN 13J study angular distributions of the lepton pairs in the $ZZ^*$ channel where both Z bosons decay to e or $\mu$ pairs. Under the assumption that the observed particle has spin 0, the data are found to be consistent with the pure CP-even hypothesis, while the pure CP-odd hypothesis is disfavored.

H DECAY WIDTH

The total decay width for a light Higgs boson with a mass in the observed range is not expected to be directly observable at the LHC. For the case of the Standard Model the prediction for the total width is about 4 MeV, which is three orders of magnitude smaller than the experimental mass resolution. There is no indication from the results observed so far that the natural width is broadened by new physics effects to such an extent that it could be directly observable. Furthermore, as all LHC Higgs channels rely on the identification of Higgs decay products, the total Higgs width cannot be measured indirectly without additional assumptions. The different dependence of on-peak and off-peak contributions on the total width in Higgs decays to $ZZ^*$ and interference effects between signal and background in Higgs decays to $\gamma\gamma$ can provide additional information in this context. Constraints on the total width from the combination of on-peak and off-peak contributions in Higgs decays to $ZZ^*$ rely on the assumption of equal on- and off-shell effective couplings. Without an experimental determination of the total width or further theoretical assumptions, only ratios of couplings can be determined at the LHC rather than absolute values of couplings.

<table><thead><tr><th>VALUE (MeV)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>3.7<sup>+1.9</sup><sub>-1.4</sub> OUR AVERAGE</strong></td></tr><tr><td>4.5<sup>+3.3</sup><sub>-2.5</sub></td><td>1</td><td>AAD</td><td>23BR ATLS</td><td>pp, 13 TeV, ZZ<sup>*</sup> / ZZ → 4ℓ, ZZ → 2ℓ2ν</td></tr><tr><td>3.2<sup>+2.4</sup><sub>-1.7</sub></td><td>2</td><td>TUMASYAN</td><td>22AM CMS</td><td>pp, 13 TeV, ZZ<sup>*</sup> / ZZ → 4ℓ, ZZ → 2ℓ2ν</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>3.2<sup>+2.8</sup><sub>-2.2</sub></td><td>3</td><td>SIRUNYAN</td><td>19BL CMS</td><td>pp, 7, 8, 13 TeV, ZZ<sup>*</sup> / ZZ → 4ℓ</td></tr><tr><td>&lt; 14.4</td><td>95</td><td>4</td><td>AABOUD</td><td>pp, 13 TeV, ZZ → 4ℓ, 2ℓ2ν</td></tr><tr><td>&lt;1100</td><td>95</td><td>5</td><td>SIRUNYAN</td><td>pp, 13 TeV, ZZ<sup>*</sup> → 4ℓ</td></tr><tr><td>&lt; 26</td><td>95</td><td>6</td><td>KHACHATRY...16BA CMS</td><td>pp, 7, 8 TeV, WW<sup>(*)</sup></td></tr><tr><td>&lt; 13</td><td>95</td><td>7</td><td>KHACHATRY...16BA CMS</td><td>pp, 7, 8 TeV, ZZ<sup>(*)</sup>, WW<sup>(*)</sup></td></tr><tr><td>&lt; 22.7</td><td>95</td><td>8</td><td>AAD</td><td>pp, 8 TeV, ZZ<sup>(*)</sup>, WW<sup>(*)</sup></td></tr><tr><td>&lt;1700</td><td>95</td><td>9</td><td>KHACHATRY...15AM CMS</td><td>pp, 7, 8 TeV</td></tr><tr><td>&gt; 3.5 × 10<sup>-9</sup></td><td>95</td><td>10</td><td>KHACHATRY...15BA CMS</td><td>pp, 7, 8 TeV, flight distance</td></tr><tr><td>&lt; 46</td><td>95</td><td>11</td><td>KHACHATRY...15BA CMS</td><td>pp, 7, 8 TeV, ZZ<sup>(*)</sup> → 4ℓ</td></tr><tr><td>&lt;5000</td><td>95</td><td>12</td><td>AAD</td><td>pp, 7, 8 TeV, γγ</td></tr><tr><td>&lt;2600</td><td>95</td><td>12</td><td>AAD</td><td>pp, 7, 8 TeV, ZZ<sup>*</sup> → 4ℓ</td></tr><tr><td>&lt;3400</td><td>95</td><td>13</td><td>CHATRCHYAN 14AA CMS</td><td>pp, 7, 8 TeV, ZZ<sup>*</sup> → 4ℓ</td></tr><tr><td>&lt; 22</td><td>95</td><td>14</td><td>KHACHATRY...14D CMS</td><td>pp, 7, 8 TeV, ZZ<sup>(*)</sup></td></tr><tr><td>&lt;2400</td><td>95</td><td>15</td><td>KHACHATRY...14P CMS</td><td>pp, 7, 8 TeV, γγ</td></tr></tbody></table>

1 AAD 23BR use 139 fb$^{-1}$ at $E_{cm} = 13$ TeV. The off-shell Higgs boson production in the $ZZ \to 4\ell$ and $ZZ \to 2\ell2\nu$ decay channels and the on-shell production in the $ZZ^* \to 4\ell$ ($\ell = e, \mu$, AAD 20AQ) decay channels are used to measure the total width. The off-shell Higgs signal strength is measured to be $1.1^{+0.7}_{-0.6}$ assuming the same on-shell and off-shell coupling modifiers are used individually for gluon-fusion and for gauge-boson modes. The scenario of no off-shell contribution is excluded at 3.3 $\sigma$. Combining with the on-shell signal strength measurement, the total width normalized to its SM expectation $\Gamma_H/\Gamma_H^{SM}$ is measured to be $1.1^{+0.7}_{-0.6}$ assuming the same on-shell and off-shell coupling modifiers are used individually for gluon-fusion and for gauge-boson modes. The observed upper limit on the total width is 10.5 MeV at 95% CL. See their Fig. 7.

2 TUMASYAN 22AM use up to 140 fb$^{-1}$ at $E_{cm} = 13$ TeV. The off-shell Higgs boson production in the $ZZ \to 4\ell$ and $ZZ \to 2\ell2\nu$ decay channels and the on-shell production in the $ZZ^* \to 4\ell$ ($\ell = e, \mu$) decay channels are used to measure the total width. The off-shell Higgs signal strength is measured to be $0.62^{+0.68}_{-0.45}$ without the constraint on the ratio of the off-shell signal strengths for gluon-fusion and gauge-boson modes. The scenario of no off-shell contribution is excluded at 3.6 $\sigma$. The results are shown in their Table 1 with other constraint scenarios and the decay widths assuming the same coupling modifiers for on- and off-shell couplings ($g_d$ and $g_d$ in their notation). The measurement of anomalous HVV couplings is shown in their Extended Data Table 1 and Fig. 8.

3 SIRUNYAN 19BL measure the width and anomalous HVV couplings from on-shell and off-shell production in the $4\ell$ final state. Data of 80.2 fb$^{-1}$ at 13 TeV, 19.7 fb$^{-1}$ at 8 TeV, and 5.1 fb$^{-1}$ at 7 TeV are used. The total width for the SM-like couplings is measured to be also [0.08, 9.16] MeV with 95% CL, assuming SM-like couplings for on- and off-shells (see their Table VIII). Constraints on the total width for anomalous HVV interaction cases are found in their Table IX. See their Table X for the Higgs boson signal strength in the off-shell region.

4 AABOUD 18BP use 36.1 fb$^{-1}$ at $E_{cm} = 13$ TeV. An observed upper limit on the off-shell Higgs signal strength of 3.8 is obtained at 95% CL using off-shell Higgs boson production in the $ZZ \to 4\ell$ and $ZZ \to 2\ell2\nu$ decay channels ($\ell = e, \mu$). Combining with the on-shell signal strength measurements, the quoted upper limit on the Higgs boson total width is obtained, assuming the ratios of the relevant Higgs-boson couplings to the SM predictions are constant with energy from on-shell production to the high-mass range.

5 SIRUNYAN 17AV obtain an upper limit on the width from the $m_{4\ell}$ distribution in $ZZ^* \to 4\ell$ ($\ell = e, \mu$) decays. Data of 35.9 fb$^{-1}$ $pp$ collisions at $E_{cm} = 13$ TeV is used. The expected limit is 1.60 GeV.

6 KHACHATRYAN 16BA derive constraints on the total width from comparing $WW^*$ production via on-shell and off-shell H using 4.9 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 7$ TeV and 19.4 fb$^{-1}$ at 8 TeV.

7 KHACHATRYAN 16BA combine the $WW^*$ result with $ZZ^*$ results of KHACHATRYAN 15BA and KHACHATRYAN 14D.

8 AAD 15BE derive constraints on the total width from comparing $ZZ^*$ and $WW^*$ production via on-shell and off-shell H using 20.3 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 8$ TeV. The K factor for the background processes is assumed to be equal to that for the signal.

9 KHACHATRYAN 15AM combine $\gamma\gamma$ and $ZZ^*$ → $4\ell$ results. The expected limit is 2.3 GeV.

10 KHACHATRYAN 15BA derive a lower limit on the total width from an upper limit on the decay flight distance $\tau < 1.9 \times 10^{-13}$ s. 5.1 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 7$ TeV and 19.7 fb$^{-1}$ at 8 TeV are used.

11 KHACHATRYAN 15BA derive constraints on the total width from comparing $ZZ^*$ production via on-shell and off-shell H with an unconstrained anomalous coupling. $4\ell$ final states in 5.1 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 7$ TeV and 19.7 fb$^{-1}$ at $E_{cm} = 8$ TeV are used.

12 AAD 14W use 4.5 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 7$ TeV and 20.3 fb$^{-1}$ at 8 TeV. The expected limit is 6.2 GeV.

13 CHATRCHYAN 14AA use 5.1 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 7$ TeV and 19.7 fb$^{-1}$ at $E_{cm} = 8$ TeV. The expected limit is 2.8 GeV.

14 KHACHATRYAN 14D derive constraints on the total width from comparing $ZZ^*$ production via on-shell and off-shell H. $4\ell$ and $\ell\ell\nu\nu$ final states in 5.1 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 7$ TeV and 19.7 fb$^{-1}$ at $E_{cm} = 8$ TeV are used.

15 KHACHATRYAN 14P use 5.1 fb$^{-1}$ of $pp$ collisions at $E_{cm} = 7$ TeV and 19.7 fb$^{-1}$ at $E_{cm} = 8$ TeV. The expected limit is 3.1 GeV.

H DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (f<sub>I</sub>/f<sub>R</sub>)</th><th>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> WW<sup>*</sup></td><td>(25.7 ± 2.5) %</td><td></td></tr><tr><td>Γ<sub>2</sub> ZZ<sup>*</sup></td><td>(2.80 ± 0.30) %</td><td></td></tr><tr><td>Γ<sub>3</sub> γγ</td><td>(2.50 ± 0.20) × 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>4</sub> b<span style="text-decoration: overline;">b</span></td><td>(53 ± 8) %</td><td></td></tr><tr><td>Γ<sub>5</sub> e<sup>+</sup>e<sup>-</sup></td><td>&lt; 3.0 × 10<sup>-4</sup></td><td>95%</td></tr><tr><td>Γ<sub>6</sub> μ<sup>+</sup>μ<sup>-</sup></td><td>(2.6 ± 1.3) × 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>7</sub> τ<sup>+</sup>τ<sup>-</sup></td><td>(6.0 ± 0.8 <br> -0.7) %</td><td></td></tr><tr><td>Γ<sub>8</sub> Zγ</td><td>(3.4 ± 1.1) × 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>9</sub> Zρ(770)</td><td>&lt; 1.21 %</td><td>95%</td></tr><tr><td>Γ<sub>10</sub> Zφ(1020)</td><td>&lt; 3.6 × 10<sup>-3</sup></td><td>95%</td></tr><tr><td>Γ<sub>11</sub> Zη<sub>C</sub></td><td></td><td></td></tr><tr><td>Γ<sub>12</sub> ZJ/ψ</td><td>&lt; 1.9 × 10<sup>-3</sup></td><td>95%</td></tr><tr><td>Γ<sub>13</sub> Zψ(2S)</td><td>&lt; 6.6 × 10<sup>-3</sup></td><td>95%</td></tr><tr><td>Γ<sub>14</sub> J/ψγ</td><td>&lt; 2.0 × 10<sup>-4</sup></td><td>95%</td></tr><tr><td>Γ<sub>15</sub> J/ψJ/ψ</td><td>&lt; 3.8 × 10<sup>-4</sup></td><td>95%</td></tr><tr><td>Γ<sub>16</sub> ψ(2S)γ</td><td>&lt; 1.05 × 10<sup>-3</sup></td><td>95%</td></tr><tr><td>Γ<sub>17</sub> ψ(2S)J/ψ</td><td>&lt; 2.1 × 10<sup>-3</sup></td><td>95%</td></tr><tr><td>Γ<sub>18</sub> ψ(2S)ψ(2S)</td><td>&lt; 3.0 × 10<sup>-3</sup></td><td>95%</td></tr><tr><td>Γ<sub>19</sub> T(1S)γ</td><td>&lt; 2.5 × 10<sup>-4</sup></td><td>95%</td></tr><tr><td>Γ<sub>20</sub> T(1S)T(1S)</td><td>&lt; 1.7 × 10<sup>-3</sup></td><td>95%</td></tr><tr><td>Γ<sub>21</sub> T(2S)γ</td><td>&lt; 4.2 × 10<sup>-4</sup></td><td>95%</td></tr><tr><td>Γ<sub>22</sub> T(3S)γ</td><td>&lt; 3.4 × 10<sup>-4</sup></td><td>95%</td></tr><tr><td>Γ<sub>23</sub> T(nS)T(mS)</td><td>&lt; 3.5 × 10<sup>-4</sup></td><td>95%</td></tr><tr><td>Γ<sub>24</sub> ρ(770)γ</td><td>&lt; 1.04 × 10<sup>-3</sup></td><td>95%</td></tr><tr><td>Γ<sub>25</sub> ω(782)γ</td><td>&lt; 5.5 × 10<sup>-4</sup></td><td>95%</td></tr><tr><td>Γ<sub>26</sub> K*(892)γ</td><td>&lt; 2.2 × 10<sup>-4</sup></td><td>95%</td></tr><tr><td>Γ<sub>27</sub> φ(1020)γ</td><td>&lt; 5 × 10<sup>-4</sup></td><td>95%</td></tr><tr><td>Γ<sub>28</sub> eμ</td><td>LF &lt; 4.4 × 10<sup>-5</sup></td><td>95%</td></tr></tbody></table>
<table><tr><td>Γ<sub>29</sub> eτ</td><td>LF</td><td>&lt; 2.0</td><td>× 10<sup>-3</sup></td><td>95%</td></tr><tr><td>Γ<sub>30</sub> μτ</td><td>LF</td><td>&lt; 1.5</td><td>× 10<sup>-3</sup></td><td>95%</td></tr><tr><td>Γ<sub>31</sub> invisible</td><td></td><td>&lt; 10.7</td><td>%</td><td>95%</td></tr><tr><td>Γ<sub>32</sub> γ invisible</td><td></td><td>&lt; 2.9</td><td>%</td><td>95%</td></tr></table>

H BRANCHING RATIOS

<table><thead><tr><th colspan="5">Γ(WW*)/Γ<sub>total</sub></th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th>Γ<sub>1</sub>/Γ</th></tr></thead><tbody><tr><td>0.257<sup>+0.026</sup><sub>-0.024</sub></td><td>1 ATLAS</td><td>22</td><td>ATLS pp, 13 TeV</td><td></td></tr></tbody></table>

¹ATLAS 22 report combined results (see their Extended Data fb⁻¹ of data at E<sub>cm</sub> = 13 TeV, assuming m<sub>H</sub> = 125.09 GeV. SM values for the production cross-sections are assumed. See their Fig. 2b.

<table><thead><tr><th colspan="5">Γ(ZZ*)/Γ<sub>total</sub></th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th>Γ<sub>2</sub>/Γ</th></tr></thead><tbody><tr><td>0.028<sup>+0.003</sup><sub>-0.002</sub></td><td>1 ATLAS</td><td>22</td><td>ATLS pp, 13 TeV</td><td></td></tr></tbody></table>

¹ATLAS 22 report combined results (see their Extended Data fb⁻¹ of data at E<sub>cm</sub> = 13 TeV, assuming m<sub>H</sub> = 125.09 GeV. SM values for the production cross-sections are assumed. See their Fig. 2b.

<table><thead><tr><th colspan="5">Γ(γγ*)/Γ<sub>total</sub></th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th>Γ<sub>3</sub>/Γ</th></tr></thead><tbody><tr><td>0.0025<sup>+0.0002</sup><sub>-0.0001</sub></td><td>1 ATLAS</td><td>22</td><td>ATLS pp, 13 TeV</td><td></td></tr></tbody></table>

¹ATLAS 22 report combined results (see their Extended Data fb⁻¹ of data at E<sub>cm</sub> = 13 TeV, assuming m<sub>H</sub> = 125.09 GeV. SM values for the production cross-sections are assumed. See their Fig. 2b.

<table><thead><tr><th colspan="5">Γ(bb*)/Γ<sub>total</sub></th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th>Γ<sub>4</sub>/Γ</th></tr></thead><tbody><tr><td>0.53<sup>+0.08</sup><sub>-0.07</sub></td><td>1 ATLAS</td><td>22</td><td>ATLS pp, 13 TeV</td><td></td></tr></tbody></table>

¹ATLAS 22 report combined results (see their Extended Data fb⁻¹ of data at E<sub>cm</sub> = 13 TeV, assuming m<sub>H</sub> = 125.09 GeV. SM values for the production cross-sections are assumed. See their Fig. 2b.

<table><thead><tr><th colspan="5">Γ(e⁺e⁻)/Γ<sub>total</sub></th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th>Γ<sub>5</sub>/Γ</th></tr></thead><tbody><tr><td>&lt;3.0 × 10⁻⁴</td><td>95</td><td>1 TUMASYAN 23AU CMS</td><td>pp, 13 TeV</td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
* <3.6 × 10⁻⁴ 95
* <1.9 × 10⁻³ 95

¹TUMASYAN 23AU use 138 fb⁻¹ of pp collisions at E<sub>cm</sub> = 13 TeV.
²AAD 20f use 139 fb⁻¹ of pp collisions at E<sub>cm</sub> = 13 TeV. The best-fit value of the H → ee branching fraction is (0.0 ± 1.7 ± 0.6) × 10⁻⁴ for m<sub>H</sub> = 125 GeV.
³KHACHATRYAN 15H use 5.0 fb⁻¹ of pp collisions at E<sub>cm</sub> = 7 TeV and 19.7 fb⁻¹ at 8 TeV.

<table><thead><tr><th colspan="5">Γ(μ⁺μ⁻)/Γ<sub>total</sub></th></tr><tr><th>VALUE (units 10⁻⁴)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th>Γ<sub>6</sub>/Γ</th></tr></thead><tbody><tr><td>2.6±1.3</td><td>1 ATLAS</td><td>22</td><td>ATLS pp, 13 TeV</td><td></td></tr></tbody></table>

¹ATLAS 22 report combined results (see their Extended Data fb⁻¹ of data at E<sub>cm</sub> = 13 TeV, assuming m<sub>H</sub> = 125.09 GeV. SM values for the production cross-sections are assumed. See their Fig. 2b.

<table><thead><tr><th colspan="5">Γ(τ⁺τ⁻)/Γ<sub>total</sub></th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th>Γ<sub>7</sub>/Γ</th></tr></thead><tbody><tr><td>0.060<sup>+0.008</sup><sub>-0.007</sub></td><td>1 ATLAS</td><td>22</td><td>ATLS pp, 13 TeV</td><td></td></tr></tbody></table>

¹ATLAS 22 report combined results (see their Extended Data fb⁻¹ of data at E<sub>cm</sub> = 13 TeV, assuming m<sub>H</sub> = 125.09 GeV. SM values for the production cross-sections are assumed. See their Fig. 2b.

<table><thead><tr><th colspan="5">Γ(Zγ)/Γ<sub>total</sub></th></tr><tr><th>VALUE (units 10⁻³)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th>Γ<sub>8</sub>/Γ</th></tr></thead><tbody><tr><td>3.4±1.1</td><td>1 AAD</td><td>24D LHC</td><td>pp, 13 TeV</td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
* 3.2±1.5 ²ATLAS 22 ATLS pp, 13 TeV

¹AAD 24D report combined results of ATLAS (AAD 20AG) and CMS (TUMASYAN 23f). SM values for the production cross-sections are assumed.
²ATLAS 22 report combined results (see their Extended Data fb⁻¹ of data at E<sub>cm</sub> = 13 TeV, assuming m<sub>H</sub> = 125.09 GeV. SM values for the production cross-sections are assumed. See their Fig. 2b.

<table><thead><tr><th colspan="5">Γ(Zρ(770))/Γ<sub>total</sub></th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th>Γ<sub>9</sub>/Γ</th></tr></thead><tbody><tr><td>&lt;1.21 × 10⁻²</td><td>95</td><td>1 SIRUNYAN 20BK CMS</td><td>pp, 13 TeV</td><td></td></tr></tbody></table>

¹SIRUNYAN 20BK search for H → Zρ, Z → e⁺e⁻/μ⁺μ⁻, ρ → π⁺π⁻ with 137 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. The quoted branching fraction is for the unpolarized decay. See their Table 3 for different polarizations.

<table><thead><tr><th colspan="2">Γ(Zφ(1020))/Γ<sub>total</sub></th><th>Γ<sub>10</sub>/Γ</th></tr><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;3.6 × 10⁻³</td><td>95</td><td>1 SIRUNYAN 20BK CMS</td><td>pp, 13 TeV</td><td></td></tr></tbody></table>

¹SIRUNYAN 20BK search for H → Zφ, Z → e⁺e⁻/μ⁺μ⁻, φ → K⁺K⁻ with 137 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. The quoted branching fraction is for the unpolarized decay. See their Table 4 for different polarizations.

<table><thead><tr><th colspan="2">Γ(Zη<sub>c</sub>)/Γ<sub>total</sub></th><th>Γ<sub>11</sub>/Γ</th></tr><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
* 1 AAD 20AE ATLS pp, 13 TeV

¹AAD 20AE search for H → Zη<sub>c</sub> with two-leptons (e⁺e⁻/μ⁺μ⁻) plus jet events using 139 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. The upper limit of σ(pp → H)·B(H → Zη<sub>c</sub>) is 110 pb at 95% CL.

<table><thead><tr><th colspan="2">Γ(ZJ/ψ)/Γ<sub>total</sub></th><th>Γ<sub>12</sub>/Γ</th></tr><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.9 × 10⁻³</td><td>95</td><td>1 TUMASYAN 23C CMS</td><td>pp, 13 TeV</td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
* 2 AAD 20AE ATLS pp, 13 TeV

¹TUMASYAN 23C search for H → ZJ/ψ, Z → e⁺e⁻ or μ⁺μ⁻, J/ψ → μ⁺μ⁻ with 138 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. The quoted value is for the Higgs decays for longitudinally polarized mesons. See their Table 1 for other cases.

²AAD 20AE search for H → ZJ/ψ with two-leptons (e⁺e⁻/μ⁺μ⁻) plus jet events using 139 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. The upper limit of σ(pp → H)·B(H → ZJ/ψ) is 100 pb at 95% CL.

<table><thead><tr><th colspan="2">Γ(Zψ(2S))/Γ<sub>total</sub></th><th>Γ<sub>13</sub>/Γ</th></tr><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;6.6 × 10⁻³</td><td>95</td><td>1 TUMASYAN 23C CMS</td><td>pp, 13 TeV</td><td></td></tr></tbody></table>

¹TUMASYAN 23C search for H → Zψ(2S), Z → e⁺e⁻ or μ⁺μ⁻, ψ(2S) → μ⁺μ⁻ with 138 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. The quoted value is for the Higgs decays for longitudinally polarized mesons. See their Table 1 for other cases.

<table><thead><tr><th colspan="2">Γ(J/ψγ)/Γ<sub>total</sub></th><th>Γ<sub>14</sub>/Γ</th></tr><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;2.0 × 10⁻⁴</td><td>95</td><td>1 AAD 23CD ATLS</td><td>13 TeV, 138 fb⁻¹</td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
* <7.6 × 10⁻⁴ 95
* <3.5 × 10⁻⁴ 95
* <1.5 × 10⁻³ 95
* <1.5 × 10⁻³ 95

¹AAD 23CD search for H → J/ψγ, J/ψ → μ⁺μ⁻ with 138 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. SM values for the production cross-sections are assumed.
²SIRUNYAN 19AJ search for H → J/ψγ, J/ψ → μ⁺μ⁻ with 35.9 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. The upper limit corresponds to 260 times the SM prediction and by combining the KHACHATRYAN 16B, it is 220 times the SM prediction.
³AABOUD 18BL search for H → J/ψγ, J/ψ → μ⁺μ⁻ with 36.1 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV.

⁴KHACHATRYAN 16B use 19.7 fb⁻¹ of pp collision data at 8 TeV.

⁵AAD 15I use 19.7 fb⁻¹ of pp collision data at 8 TeV.

⁶KHACHATRYAN 16B use 19.7 fb⁻¹ of pp collision data at 8 TeV.

<table><thead><tr><th colspan="2">Γ(J/ψJ/ψ)/Γ<sub>total</sub></th><th>Γ<sub>15</sub>/Γ</th></tr><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;3.8 × 10⁻⁴</td><td>95</td><td>1 TUMASYAN 23C CMS</td><td>pp, 13 TeV</td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
* <1.8 × 10⁻³ 95
* 2 SIRUNYAN 19BR CMS pp at 13 TeV

¹TUMASYAN 23C search for H → J/ψJ/ψ, J/ψ → μ⁺μ⁻ with 138 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. The quoted value is for the Higgs decays for longitudinally polarized mesons. See their Table 1 for other cases.

²SIRUNYAN 19BR search for H → J/ψJ/ψ, J/ψ → μ⁺μ⁻ with 37.5 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. J/ψs from the Higgs decay are assumed to be unpolarized. For fully longitudinal (transverse) polarized J/ψs, limits change by -22% (+10%).

<table><thead><tr><th colspan="2">Γ(ψ(2S)γ)/Γ<sub>total</sub></th><th>Γ<sub>16</sub>/Γ</th></tr><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.05 × 10⁻³</td><td>95</td><td>1 AAD 23CD ATLS</td><td>13 TeV, 138 fb⁻¹</td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
* <2.0 × 10⁻³ 95
* 2 AABOUD 18BL ATLS 13 TeV, 36.1 fb⁻¹

¹AAD 23CD search for H → ψ(2S)γ, ψ(2S) → μ⁺μ⁻ with 138 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. SM values for the production cross-sections are assumed.

²AABOUD 18BL search for H → ψ(2S)γ, ψ(2S) → μ⁺μ⁻ with 36.1 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV.

<table><thead><tr><th colspan="2">Γ(ψ(2S)J/ψ)/Γ<sub>total</sub></th><th>Γ<sub>17</sub>/Γ</th></tr><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;2.1 × 10⁻³</td><td>95</td><td>1 TUMASYAN 23C CMS</td><td>pp, 13 TeV</td><td></td></tr></tbody></table>

¹TUMASYAN 23C search for H → ψ(2S)J/ψ, ψ(2S) → μ⁺μ⁻, J/ψ → μ⁺μ⁻ with 138 fb⁻¹ of pp collision data at E<sub>cm</sub> = 13 TeV. The quoted value is for the Higgs decays for longitudinally polarized mesons. See their Table 1 for other cases.
Γ(ψ(2S)ψ(2S))/Γtotal Γ18/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;3.0 x 10<sup>-3</sup></td><td>95</td><td>1 TUMASYAN</td><td>23c</td><td>CMS pp, 13 TeV</td></tr></tbody></table>

¹TUMASYAN 23c search for $H \to \psi(2S)\psi(2S)$, $\psi(2S) \to \mu^+\mu^-$ with 138 fb⁻¹ of $pp$ collision data at $E_{cm} = 13$ TeV. The quoted value is for the Higgs decays for longitudinally polarized mesons. See their Table 1 for other cases.

Γ(Γ(1S)γ)/Γtotal Γ19/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;2.5 x 10<sup>-4</sup></td><td>95</td><td>1 AAD</td><td>23CD ATLS</td><td>13 TeV, 138 fb<sup>-1</sup></td></tr></tbody></table>

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

<4.9 x 10⁻⁴ 95 ² AABOUD 18BL ATLS 13 TeV, 36.1 fb⁻¹
<1.3 x 10⁻³ 95 ³ AAD 15l ATLS 8 TeV

¹AAD 23CD search for $H \to \Upsilon(1S)\gamma$, $\Upsilon(1S) \to \mu^+\mu^-$ with 138 fb⁻¹ of $pp$ collision data at $E_{cm} = 13$ TeV. SM values for the production cross-sections are assumed.

²AABOUD 18BL search for $H \to \Upsilon(1S)\gamma$, $\Upsilon(1S) \to \mu^+\mu^-$ with 36.1 fb⁻¹ of $pp$ collision data at $E_{cm} = 13$ TeV.

³AAD 15l use 19.7 fb⁻¹ of $pp$ collision data at 8 TeV.

Γ(Γ(1S)Γ(1S))/Γtotal Γ20/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;1.7 x 10<sup>-3</sup></td><td>95</td><td>1 TUMASYAN</td><td>23c</td><td>CMS pp, 13 TeV</td></tr></tbody></table>

¹TUMASYAN 23c search for $H \to \Upsilon(1S)\Upsilon(1S)$, $\Upsilon(1S) \to \mu^+\mu^-$ with 138 fb⁻¹ of $pp$ collision data at $E_{cm} = 13$ TeV. The quoted value is for the Higgs decays for longitudinally polarized mesons. See their Table 1 for other cases.

Γ(Γ(2S)γ)/Γtotal Γ21/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;4.2 x 10<sup>-4</sup></td><td>95</td><td>1 AAD</td><td>23CD ATLS</td><td>13 TeV, 138 fb<sup>-1</sup></td></tr></tbody></table>

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

<5.9 x 10⁻⁴ 95 ² AABOUD 18BL ATLS 13 TeV, 36.1 fb⁻¹
<1.9 x 10⁻³ 95 ³ AAD 15l ATLS 8 TeV

¹AAD 23CD search for $H \to \Upsilon(2S)\gamma$, $\Upsilon(2S) \to \mu^+\mu^-$ with 138 fb⁻¹ of $pp$ collision data at $E_{cm} = 13$ TeV. SM values for the production cross-sections are assumed.

²AABOUD 18BL search for $H \to \Upsilon(2S)\gamma$, $\Upsilon(2S) \to \mu^+\mu^-$ with 36.1 fb⁻¹ of $pp$ collision data at $E_{cm} = 13$ TeV.

³AAD 15l use 19.7 fb⁻¹ of $pp$ collision data at 8 TeV.

Γ(Γ(3S)γ)/Γtotal Γ22/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;3.4 x 10<sup>-4</sup></td><td>95</td><td>1 AAD</td><td>23CD ATLS</td><td>13 TeV, 138 fb<sup>-1</sup></td></tr></tbody></table>

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

<5.7 x 10⁻⁴ 95 ² AABOUD 18BL ATLS 13 TeV, 36.1 fb⁻¹
<1.3 x 10⁻³ 95 ³ AAD 15l ATLS 8 TeV

¹AAD 23CD search for $H \to \Upsilon(3S)\gamma$, $\Upsilon(3S) \to \mu^+\mu^-$ with 138 fb⁻¹ of $pp$ collision data at $E_{cm} = 13$ TeV. SM values for the production cross-sections are assumed.

²AABOUD 18BL search for $H \to \Upsilon(3S)\gamma$, $\Upsilon(3S) \to \mu^+\mu^-$ with 36.1 fb⁻¹ of $pp$ collision data at $E_{cm} = 13$ TeV.

³AAD 15l use 19.7 fb⁻¹ of $pp$ collision data at 8 TeV.

Γ(Γ(nS)Γ(mS))/Γtotal Γ23/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;3.5 x 10<sup>-4</sup></td><td>95</td><td>1 TUMASYAN</td><td>23c</td><td>CMS pp, 13 TeV</td></tr></tbody></table>

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

<1.4 x 10⁻³ 95 ² SIRUNYAN 19BR CMS pp, 13 TeV

¹TUMASYAN 23c search for $H \to \Upsilon(nS)\Upsilon(mS)$ with $\Upsilon(nS)$, $\Upsilon(mS) \to \mu^+\mu^-$ (n, m = 1, 2, 3) with 138 fb⁻¹ of $pp$ collision data at $E_{cm} = 13$ TeV. The quoted value is for the Higgs decays for longitudinally polarized mesons. See their Table 1 for other cases.

²SIRUNYAN 19BR search for $H \to \Upsilon(nS)\Upsilon(mS)$ with $\Upsilon(nS)$, $\Upsilon(mS) \to \mu^+\mu^-$ (n, m = 1, 2, 3) for 37.5 fb⁻¹ of $pp$ collision data at $E_{cm} = 13$ TeV. $\Upsilon$s from the Higgs decay are assumed to be unpolarized. For fully longitudinal (transverse) polarized $\Upsilon$s, limits change by -22% (+10%). The three $\Upsilon$ states selected in a mass range of 8.5-11 GeV are not distinguished.

Γ(ρ(770)γ)/Γtotal Γ24/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;10.4 x 10<sup>-4</sup></td><td>95</td><td>1 AABOUD</td><td>18AU ATLS</td><td>pp, 13 TeV</td></tr></tbody></table>

¹AABOUD 18AU use 35.6 fb⁻¹ of $pp$ collision data at 13 TeV. See their erratum AABOUD 23A.

Γ(ω(782)γ)/Γtotal Γ25/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;5.5 x 10<sup>-4</sup></td><td>95</td><td>1 AAD</td><td>23BS ATLS</td><td>pp, 13 TeV</td></tr></tbody></table>

¹AAD 23BS use 89.5 fb⁻¹ of $pp$ collision data at 13 TeV.

Γ(K*(892)γ)/Γtotal Γ26/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;2.2 x 10<sup>-4</sup></td><td>95</td><td>1 AAD</td><td>23BS ATLS</td><td>pp, 13 TeV</td></tr></tbody></table>

¹AAD 23BS use 134 fb⁻¹ of $pp$ collision data at 13 TeV.

Γ(φ(1020)γ)/Γtotal Γ27/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;5 x 10<sup>-4</sup></td><td>95</td><td>1 AABOUD</td><td>18AU ATLS</td><td>pp, 13 TeV</td></tr></tbody></table>

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

<1.4 x 10⁻³ 95 ² AABOUD 16K ATLS pp, 13 TeV

¹AABOUD 18AU use 35.6 fb⁻¹ of $pp$ collision data at 13 TeV. See their erratum AABOUD 23A.

²AABOUD 16K use 2.7 fb⁻¹ of $pp$ collision data at 13 TeV.

Γ(eμ)/Γtotal Γ28/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;4.4 x 10<sup>-5</sup></td><td>95</td><td>1 HAYRAPETY...23c</td><td>CMS</td><td>pp, 13 TeV</td></tr></tbody></table>

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

<6.1 x 10⁻⁵ 95 ² AAD 20F ATLS pp, 13 TeV
<3.5 x 10⁻⁴ 95 ³ KHACHATRY...16CD CMS pp, 8 TeV

¹HAYRAPETYAN 23c use 138 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The limit constrains the $Y_{e\mu}$ Yukawa coupling to $\sqrt{|Y_{e\mu}|^2 + |Y_{\mu e}|^2} < 1.9 \times 10^{-4}$ at 95% CL (see their Fig. 6).

²AAD 20F use 139 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The best-fit value of the $H \to e\mu$ branching fraction is $(0.4 \pm 2.9 \pm 0.3) \times 10^{-5}$ for $m_H = 125$ GeV.

³KHACHATRYAN 16CD search for $H \to e\mu$ in 19.7 fb⁻¹ of $pp$ collisions at $E_{cm} = 8$ TeV. The limit constrains the $Y_{e\mu}$ Yukawa coupling to $\sqrt{|Y_{e\mu}|^2 + |Y_{\mu e}|^2} < 5.4 \times 10^{-4}$ at 95% CL (see their Fig. 6).

Γ(eτ)/Γtotal Γ29/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt; 2.0 x 10<sup>-3</sup></td><td>95</td><td>1 AAD</td><td>23q ATLS</td><td>pp, 13 TeV</td></tr></tbody></table>

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

< 2.3 x 10⁻³ 95 ² AAD 23q ATLS pp, 13 TeV
< 2.2 x 10⁻³ 95 ³ SIRUNYAN 21z CMS pp, 13 TeV
< 4.7 x 10⁻³ 95 ⁴ AAD 20A ATLS pp, 13 TeV
< 6.1 x 10⁻³ 95 ⁵ SIRUNYAN 18BH CMS pp, 13 TeV
< 10.4 x 10⁻³ 95 ⁶ AAD 17 ATLS pp, 8 TeV
< 6.9 x 10⁻³ 95 ⁷ KHACHATRY...16CD CMS pp, 8 TeV

¹AAD 23Q search for $H \to e\tau$ in 138 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The result is obtained from a simultaneous fit of possible $H \to e\tau$ and $H \to \mu\tau$ signals (see their Figs. 13 and 14). The limit constrains the $Y_{e\tau}$ Yukawa coupling to $\sqrt{|Y_{e\tau}|^2 + |Y_{\tau e}|^2} < 1.3 \times 10^{-3}$ at 95% CL (see their Fig. 15).

²AAD 23Q search for $H \to e\tau$ in 138 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The limit constrains the $Y_{e\tau}$ Yukawa coupling to $\sqrt{|Y_{e\tau}|^2 + |Y_{\tau e}|^2} < 1.4 \times 10^{-3}$ at 95% CL (see their Fig. 12).

³SIRUNYAN 21z search for $H \to e\tau$ in 137 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The limit constrains the $Y_{e\tau}$ Yukawa coupling to $\sqrt{|Y_{e\tau}|^2 + |Y_{\tau e}|^2} < 1.35 \times 10^{-3}$ at 95% CL (see their Fig. 8).

⁴AAD 20A search for $H \to e\tau$ in 36.1 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The limit constrains the $Y_{e\tau}$ Yukawa coupling to $\sqrt{|Y_{e\tau}|^2 + |Y_{\tau e}|^2} < 2.0 \times 10^{-3}$ at 95% CL (see their Fig. 5).

⁵SIRUNYAN 18BH search for $H \to e\tau$ in 35.9 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The limit constrains the $Y_{e\tau}$ Yukawa coupling to $\sqrt{|Y_{e\tau}|^2 + |Y_{\tau e}|^2} < 2.26 \times 10^{-3}$ at 95% CL (see their Fig. 10).

⁶AAD 17 search for $H \to e\tau$ in 20.3 fb⁻¹ of $pp$ collisions at $E_{cm} = 8$ TeV.

⁷KHACHATRYAN 16CD search for $H \to e\tau$ in 19.7 fb⁻¹ of $pp$ collisions at $E_{cm} = 8$ TeV. The limit constrains the $Y_{e\tau}$ Yukawa coupling to $\sqrt{|Y_{e\tau}|^2 + |Y_{\tau e}|^2} < 2.4 \times 10^{-3}$ at 95% CL (see their Fig. 6).

Γ(μτ)/Γtotal Γ30/Γ

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt; 1.5 x 10<sup>-3</sup></td><td>95</td><td>1 SIRUNYAN</td><td>21z CMS</td><td>pp, 13 TeV</td></tr></tbody></table>

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

< 1.8 x 10⁻³ 95 ² AAD 23q ATLS pp, 13 TeV
< 1.7 x 10⁻³ 95 ³ AAD 23q ATLS pp, 13 TeV
< 2.8 x 10⁻³ 95 ⁴ AAD 20A ATLS pp, 13 TeV
<26 x 10⁻² 95 ⁵ AAIJ 18AMLHCB pp, 8 TeV
< 2.5 x 10⁻³ 95 ⁶ SIRUNYAN 18BH CMS pp, 13 TeV
< 1.43 x 10⁻² 95 ⁷ AAD 17 ATLS pp, 8 TeV
< 1.51 x 10⁻² 95 ⁸ KHACHATRY...15q CMS pp, 8 TeV

¹SIRUNYAN 21z search for $H \to \mu\tau$ in 137 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The limit constrains the $Y_{\mu\tau}$ Yukawa coupling to $\sqrt{|Y_{\mu\tau}|^2 + |Y_{\tau\mu}|^2} < 1.11 \times 10^{-3}$ at 95% CL (see their Fig. 8).

²AAD 23Q search for $H \to \mu\tau$ in 138 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The result is obtained from a simultaneous fit of possible $H \to e\tau$ and $H \to \mu\tau$ signals (see their Figs. 13 and 14). The limit constrains the $Y_{\mu\tau}$ Yukawa coupling to $\sqrt{|Y_{\mu\tau}|^2 + |Y_{\tau\mu}|^2} < 1.2 \times 10^{-3}$ at 95% CL (see their Fig. 15).

³AAD 23Q search for $H \to \mu\tau$ in 138 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The limit constrains the $Y_{\mu\tau}$ Yukawa coupling to $\sqrt{|Y_{\mu\tau}|^2 + |Y_{\tau\mu}|^2} < 1.2 \times 10^{-3}$ at 95% CL (see their Fig. 12).

⁴AAD 20A search for $H \to \mu\tau$ in 36.1 fb⁻¹ of $pp$ collisions at $E_{cm} = 13$ TeV. The limit constrains the $Y_{\mu\tau}$ Yukawa coupling to $\sqrt{|Y_{\mu\tau}|^2 + |Y_{\tau\mu}|^2} < 1.5 \times 10^{-3}$ at 95% CL (see their Fig. 5).