<table><caption>Table 16: Measurement results for each SMEFT parameter individually, obtained from profile-likelihood scans in which other SMEFT parameters are fixed to 0. Confidence intervals at 68% and 95% CL are reported in data (observed) and in an Asimov dataset generated under the SM hypothesis (expected). Results in the linear and linear+quadratic SMEFT parameterizations are shown, for a scale $\Lambda = 1$ TeV. Confidence intervals for each parameter $c_k$ are reported, except if they extend beyond the $|c_k| \le 20$ region where the SMEFT framework is considered valid.</caption><thead><tr><th rowspan="3">Parameter</th><th colspan="6">Observed</th><th colspan="6">Expected</th></tr><tr><th colspan="3">linear</th><th colspan="3">linear+quadratic</th><th colspan="3">linear</th><th colspan="3">linear+quadratic</th></tr><tr><th>Value</th><th colspan="2">Uncertainty</th><th>Value</th><th colspan="2">Uncertainty</th><th>Value</th><th colspan="2">Uncertainty</th><th>Value</th><th colspan="2">Uncertainty</th></tr><tr><th></th><th></th><th>68% CL</th><th>95% CL</th><th></th><th></th><th>68% CL</th><th>95% CL</th><th></th><th></th><th>68% CL</th><th>95% CL</th><th></th><th></th></tr></thead><tbody><tr><td>c<sub>HW</sub></td><td>-0.0035</td><td>+0.0071<br>-0.0077</td><td>+0.014<br>-0.016</td><td>-0.0034</td><td>+0.0071<br>-0.0073</td><td>+0.014<br>-0.014</td><td>+0.0070<br>-0.0075</td><td>+0.013<br>-0.015</td><td>+0.0072<br>-0.0072</td><td>+0.0071<br>-0.0077</td><td>+0.0072<br>-0.0074</td><td>+0.0071<br>-0.0077</td><td>+0.0072<br>-0.0074</td></tr><tr><td>c<sub>HB</sub></td><td>-0.0011</td><td>+0.0023<br>-0.0025</td><td>+0.0044<br>-0.0050</td><td>-0.0011</td><td>+0.0023<br>-0.0023</td><td>+0.0046<br>-0.0046</td><td>+0.0022<br>-0.0024</td><td>+0.0043<br>-0.0049</td><td>+0.0023<br>-0.0023</td><td>+0.0023<br>-0.0025</td><td>+0.0023<br>-0.0025</td><td>+0.0023<br>-0.0025</td></tr><tr><td>c<sub>HWB</sub></td><td>0.0020</td><td>+0.0044<br>-0.0042</td><td>+0.0090<br>-0.0079</td><td>0.0019</td><td>+0.0042<br>-0.0041</td><td>+0.0083<br>-0.0081</td><td>+0.0043<br>-0.0041</td><td>+0.0088<br>-0.0077</td><td>+0.0042<br>-0.0042</td><td>+0.0042<br>-0.0042</td><td>+0.0083<br>-0.0082</td><td>+0.0083<br>-0.0082</td></tr><tr><td>c<sub>HG</sub></td><td>0.0011</td><td>+0.0030<br>-0.0028</td><td>+0.0062<br>-0.0053</td><td>0.0011</td><td>+0.0029<br>-0.0028</td><td>+0.0059<br>-0.0055</td><td>+0.0030<br>-0.0027</td><td>+0.0061<br>-0.0052</td><td>+0.0029<br>-0.0028</td><td>+0.0029<br>-0.0028</td><td>+0.0059<br>-0.0054</td><td>+0.0059<br>-0.0054</td></tr><tr><td>c<sub>W</sub></td><td>-0.047</td><td>+0.098<br>-0.11</td><td>+0.19<br>-0.21</td><td>-0.047</td><td>+0.098<br>-0.11</td><td>+0.19<br>-0.21</td><td>+0.096<br>-0.10</td><td>+0.18<br>-0.21</td><td>+0.096<br>-0.10</td><td>+0.18<br>-0.21</td><td>+0.096<br>-0.10</td><td>+0.18<br>-0.21</td></tr><tr><td>c<sub>G</sub></td><td>0.32</td><td>+1.5<br>-1.2</td><td>+3.4<br>-2.0</td><td>0.077</td><td>+0.13<br>-0.30</td><td>+0.22<br>-0.40</td><td>+1.5<br>-1.1</td><td>+3.4<br>-1.9</td><td>+0.18<br>-0.20</td><td>+0.28<br>-0.30</td><td>+0.28<br>-0.30</td><td>+0.28<br>-0.30</td></tr><tr><td>c<sub>uW</sub></td><td>-0.039</td><td>+0.080<br>-0.087</td><td>+0.15<br>-0.18</td><td>-0.039</td><td>+0.080<br>-0.087</td><td>+0.15<br>-0.18</td><td>+0.079<br>-0.083</td><td>+0.15<br>-0.17</td><td>+0.079<br>-0.083</td><td>+0.15<br>-0.17</td><td>+0.079<br>-0.083</td><td>+0.15<br>-0.17</td></tr><tr><td>c<sub>uB</sub></td><td>-0.021</td><td>+0.043<br>-0.046</td><td>+0.082<br>-0.094</td><td>-0.021</td><td>+0.043<br>-0.046</td><td>+0.082<br>-0.094</td><td>+0.042<br>-0.045</td><td>+0.080<br>-0.092</td><td>+0.042<br>-0.045</td><td>+0.042<br>-0.045</td><td>+0.042<br>-0.045</td><td>+0.042<br>-0.045</td></tr><tr><td>c<sub>uG</sub></td><td>0.030</td><td>+0.078<br>-0.078</td><td>+0.16<br>-0.14</td><td>0.030</td><td>+0.077<br>-0.078</td><td>+0.16<br>-0.15</td><td>+0.079<br>-0.074</td><td>+0.16<br>-0.14</td><td>+0.078<br>-0.075</td><td>+0.16<br>-0.14</td><td>+0.078<br>-0.075</td><td>+0.16<br>-0.14</td></tr><tr><td>c<sub>uH</sub></td><td>-0.29</td><td>+1.4<br>-1.5</td><td>+2.7<br>-3.0</td><td>-0.30</td><td>+1.4<br>-1.6</td><td>+2.6<br>-3.3</td><td>+1.4<br>-1.5</td><td>+2.7<br>-3.0</td><td>+1.4<br>-1.5</td><td>+2.7<br>-3.3</td><td>+1.4<br>-1.5</td><td>+2.7<br>-3.3</td></tr><tr><td>c<sub>dH</sub></td><td>0.63</td><td>+1.4<br>-1.3</td><td>+2.9<br>-2.5</td><td>0.61</td><td>+1.3<br>-1.3</td><td>+2.5<br>-2.7</td><td>+1.4<br>-1.3</td><td>+2.8<br>-2.4</td><td>+1.3<br>-1.4</td><td>+2.8<br>-2.7</td><td>+1.3<br>-1.4</td><td>+2.8<br>-2.7</td></tr><tr><td>c<sub>eH</sub></td><td>5.8</td><td>+1.3<br>-1.2</td><td>-</td><td>1.9</td><td>+5.6<br>-5.7</td><td>+8.9<br>-8.9</td><td>+13<br>-12</td><td>-</td><td>+9.1<br>-5.2</td><td>+12<br>-8.4</td><td>+9.1<br>-5.2</td><td>+12<br>-8.4</td></tr><tr><td>c<sub>Hq</sub><sup>(3)</sup></td><td>-0.027</td><td>+0.091<br>-0.081</td><td>+0.19<br>-0.15</td><td>-0.037</td><td>+0.096<br>-0.21</td><td>+0.17<br>-0.34</td><td>+0.10<br>-0.089</td><td>+0.20<br>-0.17</td><td>+0.085<br>-0.12</td><td>+0.16<br>-0.29</td><td>+0.085<br>-0.12</td><td>+0.16<br>-0.29</td></tr><tr><td>c<sub>Hq</sub><sup>(1)</sup></td><td>1.9</td><td>+1.7<br>-2.0</td><td>+3.1<br>-4.1</td><td>0.029</td><td>+0.20<br>-0.22</td><td>+0.35<br>-0.37</td><td>+2.0<br>-2.3</td><td>+3.6<br>-4.8</td><td>+0.30<br>-0.28</td><td>+0.44<br>-0.41</td><td>+0.30<br>-0.28</td><td>+0.44<br>-0.41</td></tr><tr><td>c<sub>Hq</sub><sup>(3)</sup></td><td>-0.15</td><td>+0.28<br>-0.28</td><td>+0.52<br>-0.58</td><td>-0.15</td><td>+0.28<br>-0.28</td><td>+0.52<br>-0.58</td><td>+0.26<br>-0.28</td><td>+0.50<br>-0.57</td><td>+0.26<br>-0.28</td><td>+0.50<br>-0.57</td><td>+0.26<br>-0.28</td><td>+0.50<br>-0.57</td></tr><tr><td>c<sub>Hl</sub><sup>(1)</sup></td><td>-</td><td>-</td><td>-</td><td>4.4</td><td>+6.8<br>-6.9</td><td>+12<br>-12</td><td>+13<br>-15</td><td>-</td><td>+16<br>-7.8</td><td>-</td><td>+16<br>-7.8</td><td>-</td></tr><tr><td>c<sub>Hl</sub><sup>(1)</sup></td><td>-0.97</td><td>+0.79<br>-0.67</td><td>+1.7<br>-1.2</td><td>-0.14</td><td>+0.30<br>-0.24</td><td>+0.51<br>-0.41</td><td>+0.96<br>-0.82</td><td>+2.0<br>-1.5</td><td>+0.32<br>-0.43</td><td>+0.49<br>-0.61</td><td>+0.32<br>-0.43</td><td>+0.49<br>-0.61</td></tr><tr><td>c<sub>Hu</sub></td><td>3.4</td><td>+2.2<br>-2.6</td><td>+4.0<br>-5.4</td><td>0.070</td><td>+0.33<br>-0.36</td><td>+0.55<br>-0.60</td><td>+2.7<br>-3.1</td><td>+4.9<br>-6.5</td><td>+0.51<br>-0.44</td><td>+0.73<br>-0.67</td><td>+0.51<br>-0.44</td><td>+0.73<br>-0.67</td></tr><tr><td>c<sub>Hd</sub></td><td>0.68</td><td>+1.5<br>-1.4</td><td>+3.1<br>-2.7</td><td>0.63</td><td>+1.4<br>-1.4</td><td>+2.7<br>-2.7</td><td>+1.5<br>-1.4</td><td>+3.0<br>-2.6</td><td>+1.4<br>-1.4</td><td>+2.8<br>-2.9</td><td>+1.4<br>-1.4</td><td>+2.8<br>-2.9</td></tr><tr><td>c<sub>H□</sub></td><td>-0.21</td><td>+0.42<br>-0.44</td><td>+0.79<br>-0.91</td><td>-0.21</td><td>+0.42<br>-0.45</td><td>+0.79<br>-0.93</td><td>+0.41<br>-0.43</td><td>+0.77<br>-0.88</td><td>+0.40<br>-0.43</td><td>+0.76<br>-0.89</td><td>+0.40<br>-0.43</td><td>+0.76<br>-0.89</td></tr><tr><td>c<sub>qq</sub><sup>(3)</sup></td><td>0.72</td><td>+3.4<br>-2.8</td><td>+7.3<br>-5.0</td><td>-0.20</td><td>+0.55<br>-0.18</td><td>+0.69<br>-0.32</td><td>+3.2<br>-2.6</td><td>+6.8<br>-4.7</td><td>+0.29<br>-0.31</td><td>+0.43<br>-0.46</td><td>+0.29<br>-0.31</td><td>+0.43<br>-0.46</td></tr><tr><td>c<sub>qq</sub><sup>(3)</sup></td><td>0.042</td><td>+0.37<br>-0.28</td><td>+0.83<br>-0.50</td><td>-0.30</td><td>+0.52<br>-0.19</td><td>+0.67<br>-0.34</td><td>+0.38<br>-0.29</td><td>+0.84<br>-0.49</td><td>+0.21<br>-0.44</td><td>+0.36<br>-0.60</td><td>+0.21<br>-0.44</td><td>+0.36<br>-0.60</td></tr><tr><td>c<sub>qq</sub><sup>(1)</sup></td><td>2.0</td><td>+14<br>-11</td><td>-</td><td>-0.20</td><td>+0.69<br>-0.30</td><td>+0.90<br>-0.52</td><td>+14<br>-11</td><td>-</td><td>+0.44<br>-0.45</td><td>+0.67<br>-0.68</td><td>+0.44<br>-0.45</td><td>+0.67<br>-0.68</td></tr><tr><td>c<sub>qq</sub><sup>(1)</sup></td><td>0.097</td><td>+0.79<br>-0.60</td><td>+1.7<br>-1.0</td><td>-0.50</td><td>+0.92<br>-0.31</td><td>+1.2<br>-0.57</td><td>+0.79<br>-0.61</td><td>+1.8<br>-1.0</td><td>+0.39<br>-0.73</td><td>+0.66<br>-1.0</td><td>+0.39<br>-0.73</td><td>+0.66<br>-1.0</td></tr><tr><td>c'<sub>ll</sub></td><td>0.30</td><td>+0.53<br>-0.56</td><td>+1.1<br>-1.0</td><td>0.30</td><td>+0.52<br>-0.56</td><td>+1.1<br>-1.0</td><td>+0.55<br>-0.51</td><td>+1.1<br>-0.98</td><td>+0.54<br>-0.51</td><td>+0.54<br>-0.51</td><td>+0.54<br>-0.51</td><td>+0.54<br>-0.51</td></tr><tr><td>c<sub>uu</sub></td><td>1.4</td><td>+13<br>-9.9</td><td>-</td><td>-0.25</td><td>+0.85<br>-0.37</td><td>+1.1<br>-0.64</td><td>+13<br>-9.9</td><td>-</td><td>+0.53<br>-0.56</td><td>+0.81<br>-0.84</td><td>+0.53<br>-0.84</td><td>+0.81<br>-0.84</td></tr><tr><td>c'<sub>uu</sub></td><td>0.098</td><td>+0.80<br>-0.61</td><td>+1.8<br>-1.1</td><td>-0.50</td><td>+0.92<br>-0.31</td><td>+1.2<br>-0.57</td><td>+0.81<br>-0.61</td><td>+1.8<br>-1.1</td><td>+0.39<br>-0.72</td><td>+0.66<br>-1.0</td><td>+0.39<br>-0.72</td><td>+0.66<br>-1.0</td></tr><tr><td>c<sub>qu</sub><sup>(8)</sup></td><td>0.15</td><td>+1.3<br>-0.97</td><td>+2.8<br>-1.7</td><td>-1.8</td><td>+1.1<br>-0.48</td><td>+1.4<br>-0.81</td><td>-</td><td>-</td><td>+0.68<br>-0.70</td><td>+1.0<br>-1.0</td><td>+0.68<br>-0.70</td><td>+1.0<br>-1.0</td></tr><tr><td>c<sub>qu</sub><sup>(8)</sup></td><td>0.53</td><td>+5.5<br>-4.3</td><td>+12<br>-7.5</td><td>-2.3</td><td>+4.8<br>-2.3</td><td>+6.4<br>-3.9</td><td>+5.6<br>-4.3</td><td>+12<br>-7.5</td><td>+2.4<br>-4.1</td><td>+4.0<br>-5.8</td><td>+2.4<br>-4.1</td><td>+4.0<br>-5.8</td></tr><tr><td>c<sub>qd</sub><sup>(1)</sup></td><td>-</td><td>-</td><td>-</td><td>0.75</td><td>+0.94<br>-2.4</td><td>+1.7<br>-3.2</td><td>-</td><td>-</td><td>+1.5<br>-2.3</td><td>+2.3<br>-2.3</td><td>+1.5<br>-2.3</td><td>+2.3<br>-2.3</td></tr><tr><td>c<sub>ud</sub><sup>(8)</sup></td><td>0.53</td><td>+5.5<br>-4.3</td><td>+12<br>-7.5</td><td>-2.5</td><td>+5.1<br>-2.0</td><td>+6.7<br>-3.6</td><td>+5.6<br>-4.4</td><td>+12<br>-7.6</td><td>+2.4<br>-4.1</td><td>+4.0<br>-5.7</td><td>+2.4<br>-4.1</td><td>+4.0<br>-5.7</td></tr></tbody></table>
## C.2 Simultaneous measurement of SMEFT parameters

This appendix presents the complete results of the simultaneous measurement of SMEFT parameters described in Section 10.3, shown in part in Table 12 and illustrated in Figure 19. The measurement parameters $EV_n$ are shown in Table 17. Confidence intervals at 68% and 95% CL for the $EV_n$ parameters defined in Table 17 are computed both in observed data and in an Asimov data set generated under the SM hypothesis. Results for the linear SMEFT parameterization are shown in Table 18 and for the linear+quadratic parameterization in Table 19.
<table><caption>Table 17: Measurement directions corresponding to the 12 largest eigenvalues of the Fisher information matrix of the SMEFT interpretation of the STXS measurement, shown as a decomposition in terms of Wilson coefficients in the Warsaw basis. The information matrix is obtained from the covariance matrix $C_{\text{STXS}}^{-1}$ of the STXS measurement, computed using an Asimov data set generated in the SM hypothesis, propagated to the SMEFT measurement using the linear parameterization. Each linear combination is normalized to unit Euclidean norm. Only Wilson coefficients with a coefficient larger than 0.01 are shown.</caption><thead><tr><th>Eigenvalue</th><th>Eigenvector</th></tr></thead><tbody><tr><td>350000</td><td>-0.53c<sub>HG</sub> - 0.02c<sub>uG</sub> + 0.23c<sub>HW</sub> + 0.71c<sub>HB</sub> - 0.4c<sub>HWB</sub> + 0.02c<sub>W</sub> + 0.02c<sub>uW</sub> + 0.04c<sub>uB</sub></td></tr><tr><td>34000</td><td>-0.85c<sub>HG</sub> - 0.02c<sub>uG</sub> - 0.14c<sub>HW</sub> - 0.44c<sub>HB</sub> + 0.25c<sub>HWB</sub> - 0.01c<sub>W</sub> - 0.01c<sub>uW</sub> - 0.02c<sub>uB</sub> + 0.01c<sub>Hq</sub><sup>(3)</sup></td></tr><tr><td>110</td><td>-0.01c<sub>HG</sub> + 0.05c<sub>uG</sub> - 0.17c<sub>HW</sub> + 0.03c<sub>HB</sub> - 0.04c<sub>HWB</sub> - 0.01c<sub>Hl</sub><sup>(3)</sup> - 0.98c<sub>Hq</sub><sup>(3)</sup> - 0.07c<sub>Hu</sub> + 0.02c<sub>Hd</sub> + 0.03c<sub>Hq</sub><sup>(1)</sup> + 0.01c<sub>qq</sub><sup>(1)</sup> + 0.03c<sub>qq</sub><sup>(3)</sup> + 0.01c'<sub>uu</sub></td></tr><tr><td>20</td><td>-0.01c<sub>HG</sub> + 0.68c<sub>uG</sub> - 0.06c<sub>uH</sub> - 0.08c<sub>HW</sub> + 0.01c<sub>HB</sub> - 0.04c<sub>HWB</sub> + 0.13c<sub>Hl</sub><sup>(3)</sup> - 0.07c'<sub>ll</sub> - 0.01c<sub>HD</sub> + 0.08c<sub>Hq</sub><sup>(3)</sup> + 0.14c<sub>G</sub> + 0.01c<sub>qq</sub><sup>(1)</sup> + 0.27c<sub>qq</sub><sup>(1)</sup> + 0.06c<sub>qq</sub><sup>(3)</sup> + 0.56c<sub>qq</sub><sup>(3)</sup> + 0.02c<sub>uu</sub> + 0.26c'<sub>uu</sub> + 0.04c<sub>ud</sub><sup>(8)</sup> + 0.17c<sub>qu</sub><sup>(8)</sup> + 0.04c<sub>qd</sub><sup>(8)</sup></td></tr><tr><td>2.9</td><td>-0.02c<sub>HG</sub> + 0.64c<sub>uG</sub> - 0.09c<sub>uH</sub> - 0.24c<sub>HW</sub> + 0.04c<sub>HB</sub> - 0.06c<sub>HWB</sub> + 0.15c<sub>Hl</sub><sup>(3)</sup> - 0.09c'<sub>ll</sub> - 0.01c<sub>HD</sub> + 0.05c<sub>Hq</sub><sup>(3)</sup> + 0.02c<sub>Hu</sub> - 0.02c<sub>Hq</sub><sup>(1)</sup> - 0.19c<sub>G</sub> - 0.02c<sub>qq</sub><sup>(1)</sup> - 0.28c<sub>qq</sub><sup>(1)</sup> - 0.04c<sub>qq</sub><sup>(3)</sup> - 0.52c<sub>qq</sub><sup>(3)</sup> - 0.01c<sub>uu</sub> - 0.27c'<sub>uu</sub> - 0.03c<sub>ud</sub><sup>(8)</sup> - 0.16c<sub>qu</sub><sup>(8)</sup> - 0.03c<sub>qd</sub><sup>(8)</sup></td></tr><tr><td>1.8</td><td>-0.24c<sub>uG</sub> + 0.01c<sub>uH</sub> - 0.9c<sub>HW</sub> + 0.21c<sub>HB</sub> - 0.14c<sub>HWB</sub> + 0.01c<sub>uB</sub> - 0.11c<sub>Hl</sub><sup>(3)</sup> + 0.01c<sub>HD</sub> + 0.15c<sub>Hq</sub><sup>(3)</sup> + 0.1c<sub>Hu</sub> - 0.03c<sub>Hd</sub> - 0.08c<sub>Hq</sub><sup>(1)</sup> + 0.03c<sub>G</sub> + 0.05c<sub>qq</sub><sup>(1)</sup> + 0.08c<sub>qq</sub><sup>(3)</sup> + 0.05c'<sub>uu</sub> + 0.03c<sub>qu</sub><sup>(8)</sup></td></tr><tr><td>0.89</td><td>+0.03c<sub>uG</sub> + 0.03c<sub>uH</sub> + 0.09c<sub>HW</sub> + 0.15c<sub>HB</sub> + 0.32c<sub>HWB</sub> + 0.02c<sub>Hl</sub><sup>(3)</sup> + 0.01c'<sub>ll</sub> + 0.05c<sub>HD</sub> - 0.1c<sub>Hq</sub><sup>(3)</sup> + 0.83c<sub>Hu</sub> - 0.25c<sub>Hd</sub> - 0.31c<sub>Hq</sub><sup>(1)</sup> - 0.04c<sub>He</sub> - 0.05c<sub>Hl</sub><sup>(1)</sup></td></tr><tr><td>0.075</td><td>+0.27c<sub>uG</sub> + 0.38c<sub>uH</sub> + 0.02c<sub>HW</sub> + 0.06c<sub>HB</sub> + 0.1c<sub>HWB</sub> + 0.02c<sub>uW</sub> - 0.78c<sub>Hl</sub><sup>(3)</sup> + 0.37c'<sub>ll</sub> + 0.07c<sub>HD</sub> + 0.01c<sub>Hq</sub><sup>(3)</sup> - 0.04c<sub>Hu</sub> + 0.09c<sub>Hq</sub><sup>(1)</sup> + 0.09c<sub>G</sub> - 0.03c<sub>qq</sub><sup>(1)</sup> - 0.06c<sub>qq</sub><sup>(3)</sup> - 0.04c<sub>qq</sub><sup>(3)</sup> - 0.03c'<sub>uu</sub> - 0.02c<sub>qu</sub><sup>(8)</sup></td></tr><tr><td>0.038</td><td>+0.01c<sub>uG</sub> + 0.03c<sub>uH</sub> + 0.09c<sub>HW</sub> - 0.38c<sub>HB</sub> - 0.65c<sub>HWB</sub> - 0.08c<sub>uW</sub> - 0.17c<sub>Hl</sub><sup>(3)</sup> + 0.03c'<sub>ll</sub> - 0.08c<sub>HD</sub> - 0.02c<sub>Hq</sub><sup>(3)</sup> + 0.13c<sub>Hu</sub> + 0.04c<sub>Hd</sub> - 0.56c<sub>Hq</sub><sup>(1)</sup> + 0.09c<sub>He</sub> + 0.12c<sub>Hl</sub><sup>(1)</sup> + 0.02c<sub>G</sub> + 0.18c<sub>qq</sub><sup>(3)</sup> - 0.02c<sub>qq</sub><sup>(3)</sup></td></tr><tr><td>0.027</td><td>+0.06c<sub>uH</sub> + 0.02c<sub>HW</sub> - 0.09c<sub>HB</sub> - 0.13c<sub>HWB</sub> + 0.37c<sub>uW</sub> + 0.05c<sub>Hl</sub><sup>(3)</sup> - 0.02c'<sub>ll</sub> + 0.02c<sub>Hd</sub> - 0.14c<sub>Hq</sub><sup>(1)</sup> + 0.02c<sub>He</sub> + 0.03c<sub>Hl</sub><sup>(1)</sup> - 0.05c<sub>G</sub> + 0.04c<sub>qq</sub><sup>(1)</sup> - 0.89c<sub>qq</sub><sup>(3)</sup> + 0.06c<sub>qq</sub><sup>(3)</sup> + 0.03c'<sub>uu</sub> + 0.02c<sub>qu</sub><sup>(8)</sup></td></tr><tr><td>0.011</td><td>+0.04c<sub>uH</sub> - 0.03c<sub>HB</sub> - 0.05c<sub>HWB</sub> - 0.02c<sub>uW</sub> - 0.1c<sub>Hq</sub><sup>(3)</sup> + 0.03c'<sub>ll</sub> + 0.06c<sub>Hu</sub> - 0.05c<sub>Hd</sub> + 0.11c<sub>Hq</sub><sup>(1)</sup> + 0.01c<sub>He</sub> + 0.02c<sub>Hl</sub><sup>(1)</sup> - 0.95c<sub>G</sub> + 0.15c<sub>qq</sub><sup>(1)</sup> + 0.05c<sub>qq</sub><sup>(3)</sup> + 0.11c<sub>qq</sub><sup>(3)</sup> + 0.13c'<sub>uu</sub> - 0.01c<sub>qu</sub><sup>(1)</sup> + 0.09c<sub>qu</sub><sup>(8)</sup></td></tr><tr><td>0.0067</td><td>-0.01c<sub>uG</sub> - 0.15c<sub>uH</sub> + 0.01c<sub>HW</sub> - 0.2c<sub>HB</sub> - 0.36c<sub>HWB</sub> + 0.02c<sub>uW</sub> - 0.13c<sub>Hl</sub><sup>(3)</sup> - 0.16c'<sub>ll</sub> - 0.06c<sub>HD</sub> + 0.37c<sub>Hu</sub> - 0.3c<sub>Hd</sub> + 0.69c<sub>Hq</sub><sup>(1)</sup> + 0.1c<sub>He</sub> + 0.14c<sub>Hl</sub><sup>(1)</sup> + 0.14c<sub>G</sub> - 0.02c<sub>qq</sub><sup>(1)</sup> - 0.05c<sub>qq</sub><sup>(3)</sup> - 0.01c<sub>qq</sub><sup>(3)</sup> - 0.02c'<sub>uu</sub> - 0.01c<sub>qu</sub><sup>(8)</sup></td></tr></tbody></table>
<table><caption>Table 18: Measured values of the EVn parameters in data (observed) and in an Asimov data set generated under the SM hypothesis (expected). The linear SMEFT parameterization is used. Numbers in bold script indicate that the uncertainty band is truncated at the value for which the model pdf becomes negative.</caption><thead><tr><th rowspan="3">Model parameter</th><th rowspan="3">Value</th><th colspan="2">Observed</th><th colspan="2">Expected</th></tr><tr><th colspan="2">Uncertainty</th><th colspan="2">Uncertainty</th></tr><tr><th>68% CL</th><th>95% CL</th><th>68% CL</th><th>95% CL</th></tr></thead><tbody><tr><td>EV1</td><td>-0.0008</td><td>+0.0017<br>-0.0018</td><td>+0.0032<br>-0.0037</td><td>+0.0016<br>-0.0018</td><td>+0.0031<br>-0.0036</td></tr><tr><td>EV2</td><td>0.000</td><td>±0.006</td><td>+0.012<br>-0.010</td><td>+0.006<br>-0.005</td><td>+0.011<br>-0.010</td></tr><tr><td>EV3</td><td>0.04</td><td>±0.10</td><td>+0.18<br>-0.21</td><td>+0.09<br>-0.10</td><td>+0.18<br>-0.20</td></tr><tr><td>EV4</td><td>-0.04</td><td>+0.25<br>-0.22</td><td>+0.5<br>-0.4</td><td>+0.24<br>-0.21</td><td>+0.5<br>-0.4</td></tr><tr><td>EV5</td><td>-0.2</td><td>±0.6</td><td>+1.2<br>-1.3</td><td>±0.6</td><td>+1.1<br>-1.3</td></tr><tr><td>EV6</td><td>0.2</td><td>±0.8</td><td>+1.7<br>-1.6</td><td>+0.8<br>-0.7</td><td>±1.5</td></tr><tr><td>EV7</td><td>-1.7</td><td>±1.0</td><td>+2.0<br>-1.3</td><td>+1.1<br>-1.0</td><td>+2.2<br>-2.1</td></tr><tr><td>EV8</td><td>-0.7</td><td>+3.5<br>-3.2</td><td>+7<br>-6</td><td>+3.9<br>-3.4</td><td>+8<br>-7</td></tr><tr><td>EV9</td><td>7.5</td><td>+2.5<br>-5.2</td><td>+2.5<br>-11</td><td>+5<br>-5</td><td>+10<br>-11</td></tr><tr><td>EV10</td><td>0</td><td>+7<br>-9</td><td>+8<br>-19</td><td>+5<br>-7</td><td>+9<br>-16</td></tr><tr><td>EV11</td><td>-6</td><td>+9<br>-10</td><td>+18<br>-19</td><td>±10</td><td>±19</td></tr><tr><td>EV12</td><td>3</td><td>+12<br>-13</td><td>+12<br>-25</td><td>±12</td><td>±24</td></tr></tbody></table>
<table><caption>Table 19: Measured values of the EVn parameters in data (observed) and in an Asimov data set generated under the SM hypothesis (expected). The linear+quadratic SMEFT parameterization is used.</caption><thead><tr><th rowspan="3">Model parameter</th><th rowspan="3">Value</th><th colspan="2">Observed</th><th colspan="2">Expected</th></tr><tr><th colspan="2">Uncertainty</th><th colspan="2">Uncertainty</th></tr><tr><th>68% CL</th><th>95% CL</th><th>68% CL</th><th>95% CL</th></tr></thead><tbody><tr><td>EV1</td><td>0.004</td><td>+0.007<br>-0.010</td><td>+0.014<br>-0.049</td><td>+0.14<br>-0.01</td><td>+0.20<br>-0.03</td></tr><tr><td>EV2</td><td>-0.006</td><td>+0.008<br>-0.009</td><td>+0.017<br>-0.030</td><td>+0.006<br>-0.095</td><td>+0.014<br>-0.16</td></tr><tr><td>EV3</td><td>0.04</td><td>+0.11<br>-0.08</td><td>+0.37<br>-0.21</td><td>+0.14<br>-0.11</td><td>+0.40<br>-0.27</td></tr><tr><td>EV4</td><td>-0.08</td><td>+0.29<br>-0.35</td><td>+0.5<br>-1.2</td><td>+0.23<br>-0.48</td><td>+0.5<br>-1.1</td></tr><tr><td>EV5</td><td>0.29</td><td>+0.30<br>-0.69</td><td>+0.7<br>-2.2</td><td>+0.5<br>-0.6</td><td>+0.9<br>-1.7</td></tr><tr><td>EV6</td><td>0.0</td><td>+0.8<br>-0.5</td><td>+1.7<br>-1.0</td><td>+0.9<br>-0.7</td><td>+2.2<br>-1.2</td></tr><tr><td>EV7</td><td>-0.9</td><td>+1.2<br>-0.5</td><td>+1.4<br>-1.5</td><td>+0.7<br>-1.7</td><td>+1.2<br>-3.3</td></tr><tr><td>EV8</td><td>-1.2</td><td>+2.5<br>-1.0</td><td>+10<br>-1.8</td><td>+3.1<br>-1.7</td><td>+9.0<br>-2.4</td></tr><tr><td>EV9</td><td>1.7</td><td>+1.4<br>-1.6</td><td>+4.8<br>-3.3</td><td>+3.9<br>-1.8</td><td>+8.4<br>-2.9</td></tr><tr><td>EV10</td><td>0.4</td><td>+0.5<br>-0.6</td><td>±1.2</td><td>+0.9<br>-0.5</td><td>+1.8<br>-0.8</td></tr><tr><td>EV11</td><td>0.05</td><td>+0.47<br>-0.21</td><td>+1.6<br>-0.5</td><td>+0.7<br>-0.4</td><td>+1.8<br>-0.6</td></tr><tr><td>EV12</td><td>1.2</td><td>+0.8<br>-1.0</td><td>+2.3<br>-2.1</td><td>+2.4<br>-1.1</td><td>+4.8<br>-1.8</td></tr></tbody></table>
### C.3 Results including SMEFT propagator corrections

This appendix presents results similar to those in Section 10, but with SMEFT corrections applied to the mass and width parameters of off-shell SM particles, as implemented in the `SMEFTsim` generator [28]. These corrections are applied to the propagators of the W and Z boson, the Higgs boson and the top quark in each process, at first order in the SMEFT. These corrections are only available for the linear SMEFT parameterization.

Table 20 shows the observed results with the propagator corrections included, for comparison with the ones in Table 18. The $EVn$ parameters are defined in the same way as for the baseline linear parameterization. Differences from the baseline results are visible in the measurement of EV3, due to the impact of W and Z propagator corrections on the $q\bar{q}' \to VH$ processes. Small changes in the principal components of the measurements due to the propagator corrections also lead to changes in the uncertainties in other parameters, in particular EV1. This also leads to generally larger correlations between the measurements than in the baseline linear parameterization, as shown in Figure 25.

<table><caption>Table 20: Observed values of the $EVn$ parameters in data together with their 68% CL and 95% CL intervals in data for the linear SMEFT parameterization including corrections to the W, Z, Higgs boson and top quark propagators as described in the text. Numbers in bold script indicate that the uncertainty band is truncated at the value for which the probability distribution function of the fit becomes negative.</caption><thead><tr><th rowspan="2">Model parameter</th><th rowspan="2">Value</th><th colspan="2">Uncertainty</th></tr><tr><th>68% CL</th><th>95% CL</th></tr></thead><tbody><tr><td>EV1</td><td>0.0001</td><td>+0.0031<br>-0.0038</td><td>+0.006<br>-0.007</td></tr><tr><td>EV2</td><td>0.000</td><td>±0.006</td><td>+0.012<br>-0.010</td></tr><tr><td>EV3</td><td>0.05</td><td>±0.12</td><td>+0.22<br>-0.26</td></tr><tr><td>EV4</td><td>-0.03</td><td>+0.25<br>-0.23</td><td>+0.5<br>-0.4</td></tr><tr><td>EV5</td><td>-0.2</td><td>±0.6</td><td>+1.2<br>-1.3</td></tr><tr><td>EV6</td><td>0.2</td><td>±0.8</td><td>+1.7<br>-1.6</td></tr><tr><td>EV7</td><td>-2.0</td><td>+1.1<br><b>-0.9</b></td><td>+2.2<br><b>-0.9</b></td></tr><tr><td>EV8</td><td>-0.5</td><td>+3.4<br>-3.2</td><td>+7<br>-6</td></tr><tr><td>EV9</td><td>8.2</td><td>+2.5<br>-5.8</td><td>+2.5<br>-12</td></tr><tr><td>EV10</td><td>1</td><td>+7<br>-9</td><td>+8<br>-19</td></tr><tr><td>EV11</td><td>-5</td><td>+9<br>-10</td><td>+18<br>-19</td></tr><tr><td>EV12</td><td>4</td><td>+12<br>-13</td><td>+13<br>-25</td></tr></tbody></table>
<figure><img src="image_33.png" /><figcaption>Figure 25: Observed linear correlation coefficients of the $EVn$ parameters in the linear SMEFT parameterization including corrections to W, Z, Higgs boson and top quark propagators.</figcaption></figure>
References

[1] ATLAS Collaboration, *Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC*, Phys. Lett. B **716** (2012) 1, arXiv: 1207.7214 [hep-ex].

[2] CMS Collaboration, *Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC*, Phys. Lett. B **716** (2012) 30, arXiv: 1207.7235 [hep-ex].

[3] F. Englert and R. Brout, *Broken Symmetry and the Mass of Gauge Vector Mesons*, Phys. Rev. Lett. **13** (1964) 321.

[4] P. W. Higgs, *Broken Symmetries and the Masses of Gauge Bosons*, Phys. Rev. Lett. **13** (1964) 508.

[5] G. Guralnik, C. Hagen and T. Kibble, *Global Conservation Laws and Massless Particles*, Phys. Rev. Lett. **13** (1964) 585.

[6] LHC Higgs Cross Section Working Group (D. de Florian et al.), *Handbook of LHC Higgs Cross Sections: 4. Deciphering the Nature of the Higgs Sector*, 2016, arXiv: 1610.07922 [hep-ph].

[7] ATLAS Collaboration, *Measurement of Higgs boson production in the diphoton decay channel in pp collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector*, Phys. Rev. D **90** (2014) 112015, arXiv: 1408.7084 [hep-ex].

[8] ATLAS Collaboration, *Measurements of fiducial and differential cross sections for Higgs boson production in the diphoton decay channel at $\sqrt{s} = 8$ TeV with ATLAS*, JHEP **09** (2014) 112, arXiv: 1407.4222 [hep-ex].

[9] ATLAS Collaboration, *Measurement of the Higgs boson mass from the $H \to \gamma\gamma$ and $H \to ZZ^* \to 4\ell$ channels in pp collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector*, Phys. Rev. D **90** (2014) 052004, arXiv: 1406.3827 [hep-ex].

[10] ATLAS Collaboration, *Measurements of Higgs boson properties in the diphoton decay channel with $36\,fb^{-1}$ of pp collision data at $\sqrt{s} = 13$ TeV with the ATLAS detector*, Phys. Rev. D **98** (2018) 052005, arXiv: 1802.04146 [hep-ex].

[11] ATLAS Collaboration, *Measurement of the Higgs boson mass in the $H \to ZZ^* \to 4\ell$ and $H \to \gamma\gamma$ channels with $\sqrt{s} = 13$ TeV pp collisions using the ATLAS detector*, Phys. Lett. B **784** (2018) 345, arXiv: 1806.00242 [hep-ex].

[12] ATLAS Collaboration, *Study of the spin and parity of the Higgs boson in diboson decays with the ATLAS detector*, Eur. Phys. J. C **75** (2015) 476, arXiv: 1506.05669 [hep-ex], Erratum: Eur. Phys. J. C **76** (2016) 152.

[13] ATLAS Collaboration, *Combined measurements of Higgs boson production and decay using up to $80\,fb^{-1}$ of proton-proton collision data at $\sqrt{s} = 13$ TeV collected with the ATLAS experiment*, Phys. Rev. D **101** (2020) 012002, arXiv: 1909.02845 [hep-ex].

[14] ATLAS Collaboration, *Study of the CP properties of the interaction of the Higgs boson with top quarks using top quark associated production of the Higgs boson and its decay into two photons with the ATLAS detector at the LHC*, Phys. Rev. Lett. **125** (2020) 061802, arXiv: 2004.04545 [hep-ex].
[15] CMS Collaboration, *A measurement of the Higgs boson mass in the diphoton decay channel*, Phys. Lett. B 805 (2020) 135425, arXiv: 2002.06398 [hep-ex].

[16] CMS Collaboration, *Combined measurements of Higgs boson couplings in proton-proton collisions at $\sqrt{s}$ = 13 TeV*, Eur. Phys. J. C 79 (2019) 421, arXiv: 1809.10733 [hep-ex].

[17] CMS Collaboration, *Measurement of inclusive and differential Higgs boson production cross sections in the diphoton decay channel in proton-proton collisions at $\sqrt{s}$ = 13 TeV*, JHEP 01 (2019) 183, arXiv: 1807.03825 [hep-ex].

[18] CMS Collaboration, *Measurements of Higgs boson properties in the diphoton decay channel in proton-proton collisions at $\sqrt{s}$ = 13 TeV*, JHEP 11 (2018) 185, arXiv: 1804.02716 [hep-ex].

[19] CMS Collaboration, *Measurements of $t\bar{t}H$ Production and the CP Structure of the Yukawa Interaction between the Higgs Boson and Top Quark in the Diphoton Decay Channel*, Phys. Rev. Lett. 125 (2020) 061801, arXiv: 2003.10866 [hep-ex].

[20] ATLAS Collaboration, *Luminosity determination in pp collisions at $\sqrt{s}$ = 13 TeV using the ATLAS detector at the LHC*, ATLAS-CONF-2019-021, 2019, URL: https://cds.cern.ch/record/2677054.

[21] G. Avoni et al., *The new LUCID-2 detector for luminosity measurement and monitoring in ATLAS*, JINST 13 (2018) P07017.

[22] M. Frate, K. Cranmer, S. Kalia, A. Vandenberg-Rodes and D. Whiteson, *Modeling Smooth Backgrounds and Generic Localized Signals with Gaussian Processes*, (2017), arXiv: 1709.05681 [physics.data-an].

[23] J. Andersen et al., *Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report*, 9th Les Houches Workshop on Physics at TeV Colliders, 2016, arXiv: 1605.04692 [hep-ph].

[24] N. Berger et al., *Simplified Template Cross Sections - Stage 1.1*, (2019), arXiv: 1906.02754 [hep-ph].

[25] S. Amoroso et al., *Les Houches 2019: Physics at TeV Colliders: Standard Model Working Group Report*, 11th Les Houches Workshop on Physics at TeV Colliders: PhysTeV Les Houches, 2020, arXiv: 2003.01700 [hep-ph].

[26] W. Buchmüller and D. Wyler, *Effective lagrangian analysis of new interactions and flavour conservation*, Nucl. Phys. B 268 (1986) 621.

[27] B. Grzadkowski, M. Iskrzynski, M. Misiak and J. Rosiek, *Dimension-six terms in the Standard Model Lagrangian*, JHEP 10 (2010) 085, arXiv: 1008.4884 [hep-ph].

[28] I. Brivio, *SMEFTsim 3.0 — a practical guide*, JHEP 04 (2021) 073, arXiv: 2012.11343 [hep-ph].

[29] ATLAS Collaboration, *The ATLAS Experiment at the CERN Large Hadron Collider*, JINST 3 (2008) S08003.
[30] ATLAS Collaboration, *ATLAS Insertable B-Layer Technical Design Report*, ATLAS-TDR-19, 2010, URL: https://cds.cern.ch/record/1291633,
*ATLAS Insertable B-Layer Technical Design Report Addendum*, ATLAS-TDR-19-ADD-1, 2012, URL: https://cds.cern.ch/record/1451888.

[31] B. Abbott et al., Production and integration of the ATLAS Insertable B-Layer, JINST 13 (2018) T05008, arXiv: 1803.00844 [physics.ins-det].

[32] ATLAS Collaboration, Performance of the ATLAS trigger system in 2015, Eur. Phys. J. C 77 (2017) 317, arXiv: 1611.09661 [hep-ex].

[33] ATLAS Collaboration, The ATLAS Collaboration Software and Firmware, ATL-SOFT-PUB-2021-001, 2021, URL: https://cds.cern.ch/record/2767187.

[34] ATLAS Collaboration, ATLAS data quality operations and performance for 2015–2018 data-taking, JINST 15 (2020) P04003, arXiv: 1911.04632 [physics.ins-det].

[35] ATLAS Collaboration, Performance of electron and photon triggers in ATLAS during LHC Run 2, Eur. Phys. J. C 80 (2020) 47, arXiv: 1909.00761 [hep-ex].

[36] S. Alioli, P. Nason, C. Oleari and E. Re, A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX, JHEP 06 (2010) 043, arXiv: 1002.2581 [hep-ph].

[37] P. Nason, A New method for combining NLO QCD with shower Monte Carlo algorithms, JHEP 11 (2004) 040, arXiv: hep-ph/0409146.

[38] S. Frixione, P. Nason and C. Oleari, Matching NLO QCD computations with parton shower simulations: the POWHEG method, JHEP 11 (2007) 070, arXiv: 0709.2092 [hep-ph].

[39] H. B. Hartanto, B. Jäger, L. Reina and D. Wackeroth, Higgs boson production in association with top quarks in the POWHEG BOX, Phys. Rev. D 91 (2015) 094003, arXiv: 1501.04498 [hep-ph].

[40] K. Hamilton, P. Nason and G. Zanderighi, MINLO: multi-scale improved NLO, JHEP 10 (2012) 155, arXiv: 1206.3572 [hep-ph].

[41] J. M. Campbell et al., NLO Higgs boson production plus one and two jets using the POWHEG BOX, MadGraph4 and MCFM, JHEP 07 (2012) 092, arXiv: 1202.5475 [hep-ph].

[42] K. Hamilton, P. Nason, C. Oleari and G. Zanderighi, Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching, JHEP 05 (2013) 082, arXiv: 1212.4504 [hep-ph].

[43] S. Catani and M. Grazzini, Next-to-Next-to-Leading-Order Subtraction Formalism in Hadron Collisions and its Application to Higgs-boson Production at the Large Hadron Collider, Phys. Rev. Lett. 98 (2007) 222002, arXiv: hep-ph/0703012 [hep-ph].

[44] G. Bozzi, S. Catani, D. de Florian and M. Grazzini, Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC, Nucl. Phys. B 737 (2006) 73, arXiv: hep-ph/0508068 [hep-ph].

[45] D. de Florian, G. Ferrera, M. Grazzini and D. Tommasini, Transverse-momentum resummation: Higgs boson production at the Tevatron and the LHC, JHEP 11 (2011) 064, arXiv: 1109.2109 [hep-ph].
[46] J. Butterworth et al., PDF4LHC recommendations for LHC Run II, J. Phys. G 43 (2016) 023001, arXiv: 1510.03865 [hep-ph].

[47] J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations, JHEP 07 (2014) 079, arXiv: 1405.0301 [hep-ph].

[48] P. Artoisenet, R. Frederix, O. Mattelaer and R. Rietkerk, Automatic spin-entangled decays of heavy resonances in Monte Carlo simulations, JHEP 03 (2013) 015, arXiv: 1212.3460 [hep-ph].

[49] S. Frixione, E. Laenen, P. Motylinski, C. White and B. R. Webber, Single-top hadroproduction in association with a W boson, JHEP 07 (2008) 029, arXiv: 0805.3067 [hep-ph].

[50] F. Demartin, B. Maier, F. Maltoni, K. Mawatari and M. Zaro, tWH associated production at the LHC, Eur. Phys. J. C 77 (2017) 34, arXiv: 1607.05862 [hep-ph].

[51] T. Sjöstrand, S. Mrenna and P. Z. Skands, A brief introduction to PYTHIA 8.1, Comput. Phys. Commun. 178 (2008) 852, arXiv: 0710.3820 [hep-ph].

[52] T. Sjöstrand et al., An introduction to PYTHIA 8.2, Comput. Phys. Commun. 191 (2015) 159, arXiv: 1410.3012 [hep-ph].

[53] ATLAS Collaboration, Measurement of the Z/γ* boson transverse momentum distribution in pp collisions at √s = 7 TeV with the ATLAS detector, JHEP 09 (2014) 145, arXiv: 1406.3660 [hep-ex].

[54] D. J. Lange, The EvtGen particle decay simulation package, Nucl. Instrum. Meth. A 462 (2001) 152.

[55] J. Bellm et al., Herwig 7.1 Release Note, (2017), arXiv: 1705.06919 [hep-ph].

[56] J. Bellm et al., Herwig 7.0/Herwig++ 3.0 release note, Eur. Phys. J. C 76 (2016) 196, arXiv: 1512.01178 [hep-ph].

[57] R. Frederix and S. Frixione, Merging meets matching in MC@NLO, JHEP 12 (2012) 061, arXiv: 1209.6215 [hep-ph].

[58] ATLAS Collaboration, ATLAS Pythia 8 tunes to 7 TeV data, ATL-PHYS-PUB-2014-021, 2014, URL: https://cds.cern.ch/record/1966419.

[59] J. R. Andersen et al., Handbook of LHC Higgs Cross Sections: 3. Higgs Properties, (2013), ed. by S. Heinemeyer, C. Mariotti, G. Passarino and R. Tanaka, arXiv: 1307.1347 [hep-ph].

[60] ATLAS and CMS Collaborations, Combined Measurement of the Higgs Boson Mass in pp Collisions at √s = 7 and 8 TeV with the ATLAS and CMS Experiments, Phys. Rev. Lett. 114 (2015) 191803, arXiv: 1503.07589 [hep-ex].

[61] C. Anastasiou et al., High precision determination of the gluon fusion Higgs boson cross-section at the LHC, JHEP 05 (2016) 058, arXiv: 1602.00695 [hep-ph].

[62] C. Anastasiou, C. Duhr, F. Dulat, F. Herzog and B. Mistlberger, Higgs Boson Gluon-Fusion Production in QCD at Three Loops, Phys. Rev. Lett. 114 (2015) 212001, arXiv: 1503.06056 [hep-ph].
[63] F. Dulat, A. Lazopoulos and B. Mistlberger, *iHiggs 2 – Inclusive Higgs cross sections*, Comput. Phys. Commun. **233** (2018) 243, arXiv: 1802.00827 [hep-ph].

[64] R. V. Harlander and K. J. Ozeren, *Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order*, JHEP **11** (2009) 088, arXiv: 0909.3420 [hep-ph].

[65] R. V. Harlander and K. J. Ozeren, *Top mass effects in Higgs production at next-to-next-to-leading order QCD: Virtual corrections*, Phys. Lett. **B** **679** (2009) 467, arXiv: 0907.2997 [hep-ph].

[66] R. V. Harlander, H. Mantler, S. Marzani and K. J. Ozeren, *Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass*, Eur. Phys. J. C **66** (2010) 359, arXiv: 0912.2104 [hep-ph].

[67] A. Pak, M. Rogal and M. Steinhauser, *Finite top quark mass effects in NNLO Higgs boson production at LHC*, JHEP **02** (2010) 025, arXiv: 0911.4662 [hep-ph].

[68] S. Actis, G. Passarino, C. Sturm and S. Uccirati, *NLO electroweak corrections to Higgs boson production at hadron colliders*, Phys. Lett. **B** **670** (2008) 12, arXiv: 0809.1301 [hep-ph].

[69] S. Actis, G. Passarino, C. Sturm and S. Uccirati, *NNLO computational techniques: The cases $H \to \gamma\gamma$ and $H \to gg$, Nucl. Phys. **B** **811** (2009) 182*, arXiv: 0809.3667 [hep-ph].

[70] M. Bonetti, K. Melnikov and L. Tancredi, *Higher order corrections to mixed QCD-EW contributions to Higgs boson production in gluon fusion*, Phys. Rev. D **97** (2018) 056017, arXiv: 1801.10403 [hep-ph], Erratum: Phys. Rev. D **97** (2018) 099906.

[71] U. Aglietti, R. Bonciani, G. Degrassi and A. Vicini, *Two-loop light fermion contribution to Higgs production and decays*, Phys. Lett. **B** **595** (2004) 432, arXiv: hep-ph/0404071.

[72] ATLAS Collaboration, *Measurement of the Higgs boson coupling properties in the $H \to ZZ^* \to 4\ell$ decay channel at $\sqrt{s} = 13$ TeV with the ATLAS detector*, JHEP **03** (2018) 095, arXiv: 1712.02304 [hep-ex].

[73] E. Bagnaschi, G. Degrassi, P. Slavich and A. Vicini, *Higgs production via gluon fusion in the POWHEG approach in the SM and in the MSSM*, JHEP **02** (2012) 088, arXiv: 1111.2854 [hep-ph].

[74] K. Hamilton, P. Nason and G. Zanderighi, *Finite quark-mass effects in the NNLOPS POWHEG+MiNLO Higgs generator*, JHEP **05** (2015) 140, arXiv: 1501.04637 [hep-ph].

[75] M. Ciccolini, A. Denner and S. Dittmaier, *Strong and electroweak corrections to the production of Higgs + 2 jets via weak interactions at the LHC*, Phys. Rev. Lett. **99** (2007) 161803, arXiv: 0707.0381 [hep-ph].

[76] M. Ciccolini, A. Denner and S. Dittmaier, *Electroweak and QCD corrections to Higgs production via vector-boson fusion at the LHC*, Phys. Rev. D **77** (2008) 013002, arXiv: 0710.4749 [hep-ph].
[77] P. Bolzoni, F. Maltoni, S.-O. Moch and M. Zaro, *Higgs Boson Production via Vector-Boson Fusion at Next-to-Next-to-Leading Order in QCD*, Phys. Rev. Lett. **105** (2010) 011801, arXiv: 1003.4451 [hep-ph].

[78] O. Brein, R. V. Harlander and T. J. E. Zirke, *vh@nnlo - Higgs Strahlung at hadron colliders*, Comput. Phys. Commun. **184** (2013) 998, arXiv: 1210.5347 [hep-ph].

[79] R. V. Harlander, J. Klappert, S. Liebler and L. Simon, *vh@nnlo-v2: new physics in Higgs Strahlung*, JHEP **05** (2018) 089, arXiv: 1802.04817 [hep-ph].

[80] O. Brein, A. Djouadi and R. Harlander, *NNLO QCD corrections to the Higgs-strahlung processes at hadron colliders*, Phys. Lett. B **579** (2004) 149, arXiv: hep-ph/0307206.

[81] O. Brein, R. Harlander, M. Wiesemann and T. Zirke, *Top-quark mediated effects in hadronic Higgs-Strahlung*, Eur. Phys. J. C **72** (2012) 1868, arXiv: 1111.0761 [hep-ph].

[82] L. Altenkamp, S. Dittmaier, R. V. Harlander, H. Rzehak and T. J. E. Zirke, *Gluon-induced Higgs-strahlung at next-to-leading order QCD*, JHEP **02** (2013) 078, arXiv: 1211.5015 [hep-ph].

[83] R. V. Harlander, A. Kulesza, V. Theeuwes and T. Zirke, *Soft gluon resummation for gluon-induced Higgs Strahlung*, JHEP **11** (2014) 082, arXiv: 1410.0217 [hep-ph].

[84] A. Denner, S. Dittmaier, S. Kallweit and A. Mück, *HAWK 2.0: A Monte Carlo program for Higgs production in vector-boson fusion and Higgs strahlung at hadron colliders*, Comput. Phys. Commun. **195** (2015) 161, arXiv: 1412.5390 [hep-ph].

[85] M. L. Ciccolini, S. Dittmaier and M. Krämer, *Electroweak radiative corrections to associated WH and ZH production at hadron colliders*, Phys. Rev. D **68** (2003) 073003, arXiv: hep-ph/0306234 [hep-ph].

[86] W. Beenakker et al., *NLO QCD corrections to tīH production in hadron collisions*, Nucl. Phys. B **653** (2003) 151, arXiv: hep-ph/0211352.

[87] S. Dawson, C. Jackson, L. Orr, L. Reina and D. Wackeroth, *Associated Higgs production with top quarks at the large hadron collider: NLO QCD corrections*, Phys. Rev. D **68** (2003) 034022, arXiv: hep-ph/0305087.

[88] Y. Zhang, W.-G. Ma, R.-Y. Zhang, C. Chen and L. Guo, *QCD NLO and EW NLO corrections to tīH production with top quark decays at hadron collider*, Phys. Lett. B **738** (2014) 1, arXiv: 1407.1110 [hep-ph].

[89] S. Frixione, V. Hirschi, D. Pagani, H.-S. Shao and M. Zaro, *Electroweak and QCD corrections to top-pair hadroproduction in association with heavy bosons*, JHEP **06** (2015) 184, arXiv: 1504.03446 [hep-ph].

[90] S. Dawson, C. Jackson, L. Reina and D. Wackeroth, *Exclusive Higgs boson production with bottom quarks at hadron colliders*, Phys. Rev. D **69** (2004) 074027, arXiv: hep-ph/0311067.

[91] S. Dittmaier, M. Krämer and M. Spira, *Higgs radiation off bottom quarks at the Tevatron and the CERN LHC*, Phys. Rev. D **70** (2004) 074010, arXiv: hep-ph/0309204.
[92] R. Harlander, M. Krämer and M. Schumacher, *Bottom-quark associated Higgs-boson production: reconciling the four- and five-flavour scheme approach*, 2011, arXiv: 1112.3478 [hep-ph].

[93] F. Demartin, F. Maltoni, K. Mawatari and M. Zaro, *Higgs production in association with a single top quark at the LHC*, Eur. Phys. J. C 75 (2015) 267, arXiv: 1504.00611 [hep-ph].

[94] A. Djouadi, J. Kalinowski and M. Spira, *HDECAY: a program for Higgs boson decays in the Standard Model and its supersymmetric extension*, Comput. Phys. Commun. 108 (1998) 56, arXiv: hep-ph/9704448.

[95] M. Spira, *QCD Effects in Higgs Physics*, Fortsch. Phys. 46 (1998) 203, arXiv: hep-ph/9705337.

[96] A. Djouadi, M. M. Mühlleitner and M. Spira, *Decays of supersymmetric particles: The Program SUSY-HIT (SUspect-SdecaY-Hdecay-InTerface)*, Acta Phys. Polon. B 38 (2007) 635, arXiv: hep-ph/0609292.

[97] A. Bredenstein, A. Denner, S. Dittmaier and M. M. Weber, *Radiative corrections to the semileptonic and hadronic Higgs-boson decays $H \to WW/ZZ \to 4$ fermions*, JHEP 02 (2007) 080, arXiv: hep-ph/0611234.

[98] A. Bredenstein, A. Denner, S. Dittmaier and M. M. Weber, *Precise predictions for the Higgs-boson decay $H \to WW/ZZ \to 4$ leptons*, Phys. Rev. D 74 (2006) 013004, arXiv: hep-ph/0604011.

[99] A. Bredenstein, A. Denner, S. Dittmaier and M. M. Weber, *Precision calculations for the Higgs decays $H \to ZZ/WW \to 4$ leptons*, Nucl. Phys. Proc. Suppl. 160 (2006) 131, arXiv: hep-ph/0607060.

[100] E. Bothmann et al., *Event generation with Sherpa 2.2*, SciPost Phys. 7 (2019) 034, arXiv: 1905.09127 [hep-ph].

[101] T. Gleisberg and S. Höhe, *Comix, a new matrix element generator*, JHEP 12 (2008) 039, arXiv: 0808.3674 [hep-ph].

[102] F. Buccioni et al., *OpenLoops 2*, Eur. Phys. J. C 79 (2019) 866, arXiv: 1907.13071 [hep-ph].

[103] F. Cascioli, P. Maierhöfer and S. Pozzorini, *Scattering Amplitudes with Open Loops*, Phys. Rev. Lett. 108 (2012) 111601, arXiv: 1111.5206 [hep-ph].

[104] A. Denner, S. Dittmaier and L. Hofer, *COLLIER: A fortran-based complex one-loop library in extended regularizations*, Comput. Phys. Commun. 212 (2017) 220, arXiv: 1604.06792 [hep-ph].

[105] S. Schumann and F. Krauss, *A Parton shower algorithm based on Catani-Seymour dipole factorisation*, JHEP 03 (2008) 038, arXiv: 0709.1027 [hep-ph].

[106] S. Höhe, F. Krauss, M. Schönherr and F. Siegert, *A critical appraisal of NLO+PS matching methods*, JHEP 09 (2012) 049, arXiv: 1111.1220 [hep-ph].

[107] S. Höhe, F. Krauss, M. Schönherr and F. Siegert, *QCD matrix elements + parton showers: The NLO case*, JHEP 04 (2013) 027, arXiv: 1207.5030 [hep-ph].

[108] S. Catani, F. Krauss, B. R. Webber and R. Kuhn, *QCD Matrix Elements + Parton Showers*, JHEP 11 (2001) 063, arXiv: hep-ph/0109231.
[109] S. Höche, F. Krauss, S. Schumann and F. Siegert, *QCD matrix elements and truncated showers*, JHEP 05 (2009) 053, arXiv: 0903.1219 [hep-ph].

[110] F. Siegert, *A practical guide to event generation for prompt photon production with Sherpa*, J. Phys. G 44 (2017) 044007, arXiv: 1611.07226 [hep-ph].

[111] S. Frixione, *Isolated photons in perturbative QCD*, Phys. Lett. B 429 (1998) 369, arXiv: hep-ph/9801442.

[112] R. D. Ball et al., *Parton distributions for the LHC run II*, JHEP 04 (2015) 040, arXiv: 1410.8849 [hep-ph].

[113] R. D. Ball et al., *Parton distributions with LHC data*, Nucl. Phys. B 867 (2013) 244, arXiv: 1207.1303 [hep-ph].

[114] ATLAS Collaboration, *The Pythia 8 A3 tune description of ATLAS minimum bias and inelastic measurements incorporating the Donnachie-Landshoff diffractive model*, ATL-PHYS-PUB-2016-017, 2016, URL: https://cds.cern.ch/record/2206965.

[115] ATLAS Collaboration, *The ATLAS Simulation Infrastructure*, Eur. Phys. J. C 70 (2010) 823, arXiv: 1005.4568 [physics.ins-det].

[116] GEANT4 Collaboration, S. Agostinelli et al., *GEANT4 – a simulation toolkit*, Nucl. Instrum. Meth. A 506 (2003) 250.

[117] ATLAS Collaboration, *The simulation principle and performance of the ATLAS fast calorimeter simulation FastCaloSim*, ATL-PHYS-PUB-2010-013, 2010, URL: https://cds.cern.ch/record/1300517.

[118] C. Anastasiou, R. Boughezal and F. Petriello, *Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion*, JHEP 04 (2009) 003, arXiv: 0811.3458 [hep-ph].

[119] A. Denner, S. Dittmaier, S. Kallweit and A. Mück, *Electroweak corrections to Higgs-strahlung off W/Z bosons at the Tevatron and the LHC with HAWK*, JHEP 03 (2012) 075, arXiv: 1112.5142 [hep-ph].

[120] ATLAS Collaboration, *Electron and photon performance measurements with the ATLAS detector using the 2015–2017 LHC proton-proton collision data*, JINST 14 (2019) P12006, arXiv: 1908.00005 [hep-ex].

[121] M. Cacciari, G. P. Salam and G. Soyez, *The Catchment Area of Jets*, JHEP 04 (2008) 005, arXiv: 0802.1188 [hep-ph].

[122] M. Cacciari, G. P. Salam and S. Sapeta, *On the characterisation of the underlying event*, JHEP 04 (2010) 065, arXiv: 0912.4926 [hep-ph].

[123] ATLAS Collaboration, *Measurement of the photon identification efficiencies with the ATLAS detector using LHC Run-1 data*, Eur. Phys. J. C 76 (2016) 666, arXiv: 1606.01813 [hep-ex].

[124] ATLAS Collaboration, *Measurement of the inclusive isolated prompt photon cross section in pp collisions at $\sqrt{s} = 7$ TeV with the ATLAS detector*, Phys. Rev. D 83 (2011) 052005, arXiv: 1012.4389 [hep-ex].

[125] ATLAS Collaboration, *Reconstruction of primary vertices at the ATLAS experiment in Run 1 proton-proton collisions at the LHC*, Eur. Phys. J. C 77 (2017) 332, arXiv: 1611.10235 [hep-ex].
[126] ATLAS Collaboration,
*Jet reconstruction and performance using particle flow with the ATLAS Detector*,
Eur. Phys. J. C 77 (2017) 466, arXiv: 1703.10485 [hep-ex].

[127] ATLAS Collaboration,
*Topological cell clustering in the ATLAS calorimeters and its performance in LHC Run 1*,
Eur. Phys. J. C 77 (2017) 490, arXiv: 1603.02934 [hep-ex].

[128] M. Cacciari, G. P. Salam and G. Soyez, *The anti-$k_t$ jet clustering algorithm*, JHEP 04 (2008) 063, arXiv: 0802.1189 [hep-ph].

[129] M. Cacciari, G. P. Salam and G. Soyez, *FastJet user manual*, Eur. Phys. J. C 72 (2012) 1896, arXiv: 1111.6097 [hep-ph].

[130] ATLAS Collaboration, *Jet energy scale and resolution measured in proton-proton collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector*, Eur. Phys. J. C 81 (2020) 689, arXiv: 2007.02645 [hep-ex].

[131] ATLAS Collaboration, *Performance of pile-up mitigation techniques for jets in pp collisions at $\sqrt{s}$ = 8 TeV using the ATLAS detector*, Eur. Phys. J. C 76 (2016) 581, arXiv: 1510.03823 [hep-ex].

[132] ATLAS Collaboration, *Forward jet vertex tagging using the particle flow algorithm*, ATL-PHYS-PUB-2019-026, 2019, URL: https://cds.cern.ch/record/2683100.

[133] ATLAS Collaboration, *ATLAS b-jet identification performance and efficiency measurement with $t\bar{t}$ events in pp collisions at $\sqrt{s}$ = 13 TeV*, Eur. Phys. J. C 79 (2019) 970, arXiv: 1907.05120 [hep-ex].

[134] ATLAS Collaboration, *Muon reconstruction and identification efficiency in ATLAS using the full Run 2 pp collision data set at $\sqrt{s}$ = 13 TeV*, Eur. Phys. J. C 81 (2021) 578, arXiv: 2012.00578 [hep-ex].

[135] ATLAS Collaboration, *Performance of missing transverse momentum reconstruction with the ATLAS detector using proton-proton collisions at $\sqrt{s}$ = 13 TeV*, Eur. Phys. J. C 78 (2018) 903, arXiv: 1802.08168 [hep-ex].

[136] ATLAS Collaboration, *Search for Higgs boson pair production in the two bottom quarks plus two photons final state in pp collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector*, (), arXiv: 2112.11876 [hep-ex].

[137] G. Ke et al., ‘LightGBM: A Highly Efficient Gradient Boosting Decision Tree’, *Advances in Neural Information Processing Systems 30*, ed. by I. Guyon et al., Curran Associates, Inc., 2017 3146, URL: http://papers.nips.cc/paper/6907-lightgbm-a-highly-efficient-gradient-boosting-decision-tree.pdf.

[138] D. V. Lindley, *On a Measure of the Information Provided by an Experiment*, Ann. Math. Statist. 27 (1956) 986.

[139] G. Cowan, K. Cranmer, E. Gross and O. Vitells, *Asymptotic formulae for likelihood-based tests of new physics*, Eur. Phys. J. C 71 (2011) 1554, arXiv: 1007.1727 [physics.data-an], Erratum: Eur. Phys. J. C 73 (2013) 2501.

[140] J. Campbell, M. Carena, R. Harnik and Z. Liu, *Interference in the $gg \to h \to \gamma\gamma$ On-Shell Rate and the Higgs Boson Total Width*, Phys. Rev. Lett. 119 (2017) 181801, arXiv: 1704.08259 [hep-ph], Erratum: Phys. Rev. Lett. 119 (2017) 181801.
[141] L. J. Dixon and Y. Li, *Bounding the Higgs Boson Width Through Interferometry*, Phys. Rev. Lett. **111** (2013) 111802, arXiv: 1305.3854 [hep-ph].

[142] M. Oreglia, *A Study of the Reactions $\psi' \to \gamma\gamma\psi$, Appendix D*, (1980), URL: https://www.slac.stanford.edu/cgi-bin/getdoc/slac-r-236.pdf.

[143] ATLAS Collaboration, *Search for Scalar Diphoton Resonances in the Mass Range 65–600 GeV with the ATLAS Detector in pp Collision Data at $\sqrt{s}$ = 8 TeV*, Phys. Rev. Lett. **113** (2014) 171801, arXiv: 1407.6583 [hep-ex].

[144] ATLAS Collaboration, *Measurement of the production cross section of pairs of isolated photons in pp collisions at 13 TeV with the ATLAS detector*, JHEP **11** (2021) 169, arXiv: 2107.09330 [hep-ex].

[145] Bernstein, S., *Démonstration du Théorème de Weierstrass fondée sur le calcul des Probabilités*, Comm. Soc. Math. Kharkov **13** (1912) 1.

[146] A. Wald, *Sequential Tests of Statistical Hypotheses*, Ann. Math. Stat. **16** (1945) 117.

[147] ATLAS Collaboration, *Measurement of the Inelastic Proton–Proton Cross Section at $\sqrt{s}$ = 13 TeV with the ATLAS Detector at the LHC*, Phys. Rev. Lett. **117** (2016) 182002, arXiv: 1606.02625 [hep-ex].

[148] X. Liu and F. Petriello, *Reducing theoretical uncertainties for exclusive Higgs-boson plus one-jet production at the LHC*, Phys. Rev. D **87** (2013) 094027, arXiv: 1303.4405 [hep-ph].

[149] I. W. Stewart, F. J. Tackmann, J. R. Walsh and S. Zuberi, *Jet $p_T$ Resummation in Higgs Production at NNLL' + NNLO*, Phys. Rev. D **89** (2014) 054001, arXiv: 1307.1808 [hep-ph].

[150] R. Boughezal, X. Liu, F. Petriello, F. J. Tackmann and J. R. Walsh, *Combining resummed Higgs predictions across jet bins*, Phys. Rev. D **89** (2014) 074044, arXiv: 1312.4535 [hep-ph].

[151] I. W. Stewart and F. J. Tackmann, *Theory uncertainties for Higgs and other searches using jet bins*, Phys. Rev. D **85** (2012) 034011, arXiv: 1107.2117 [hep-ph].

[152] S. Gangal and F. J. Tackmann, *Next-to-leading-order uncertainties in Higgs+2 jets from gluon fusion*, Phys. Rev. D **87** (2013) 093008, arXiv: 1302.5437 [hep-ph].

[153] ATLAS Collaboration, *Measurements of the Higgs boson inclusive and differential fiducial cross sections in the 4ℓ decay channel at $\sqrt{s}$ = 13 TeV*, Eur. Phys. J. C **80** (2020) 942, arXiv: 2004.03969 [hep-ex].

[154] ATLAS Collaboration, *Measurements of fiducial cross-sections for $t\bar{t}$ production with one or two additional b-jets in pp collisions at $\sqrt{s}$ = 8 TeV using the ATLAS detector*, Eur. Phys. J. C **76** (2016) 11, arXiv: 1508.06868 [hep-ex].

[155] ATLAS Collaboration, *Measurements of the production cross-section for a Z boson in association with b-jets in proton–proton collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector*, JHEP **07** (2020) 044, arXiv: 2003.11960 [hep-ex].

[156] ATLAS Collaboration, *Measurement of the cross-section for W boson production in association with b-jets in pp collisions at $\sqrt{s}$ = 7 TeV with the ATLAS detector*, JHEP **06** (2013) 084, arXiv: 1302.2929 [hep-ex].
[157] The ATLAS and CMS Collaborations and The LHC Higgs Combination Group,
*Procedure for the LHC Higgs boson search combination in Summer 2011*, tech. rep., CERN, 2011,
URL: http://cds.cern.ch/record/1379837.

[158] G. Bohm and G. Zech, *Introduction to statistics and data analysis for physicists*, DESY, 2010,
ISBN: 9783935702416,
URL: http://www-library.desy.de/preparch/books/vstatmp_engl.pdf.

[159] A. L. Read, *Presentation of search results: the CLS technique*, J. Phys. G 28 (2002) 2693.

[160] I. Brivio, Y. Jiang and M. Trott, *The SMEFTsim package, theory and tools*, JHEP 12 (2017) 070,
arXiv: 1709.06492 [hep-ph].

[161] C. Degrande et al., *Automated one-loop computations in the standard model effective field theory*,
Phys. Rev. D 103 (2021) 096024, arXiv: 2008.11743 [hep-ph].

[162] STXS Classification package,
URL: https://gitlab.cern.ch/LHCHIGGSXS/LHCHXSWG2/STXS/Classification.

[163] S. Dawson and P. P. Giardino,
*Electroweak corrections to Higgs boson decays to $\gamma\gamma$ and $W^+W^-$ in standard model EFT*,
Phys. Rev. D 98 (2018) 095005, arXiv: 1807.11504 [hep-ph].

[164] J. R. Andersen et al., *Handbook of LHC Higgs Cross Sections: 3. Higgs Properties*,
(2013), ed. by S. Heinemeyer, C. Mariotti, G. Passarino and R. Tanaka,
arXiv: 1307.1347 [hep-ph].

[165] ATLAS and CMS Collaborations,
*Measurements of the Higgs boson production and decay rates and constraints on its couplings
from a combined ATLAS and CMS analysis of the LHC pp collision data at $\sqrt{s}$ = 7 and 8 TeV*,
JHEP 08 (2016) 045, arXiv: 1606.02266 [hep-ex].