The observed 95% CL upper limit on $\sigma( p p \rightarrow H) \cdot (H\rightarrow Z \gamma)$

Observed likelihood scan in the ($\kappa_\tau$, $\tilde{\kappa}_\tau$) plane.

Observed likelihood scan in the ($\alpha^{\mathrm{H}\tau\tau}$, $\mu_{\text{ggH}}$) plane. The $\mu_{\text{qqH}}$ signal strength modifier is profiled.

Observed likelihood scan in the ($\alpha^{\mathrm{H}\tau\tau}$, $\mu_{\text{qqH}}$) plane. The $\mu_{\text{ggH}}$ signal strength modifier is profiled.

Observed likelihood scan in the ($\mu_{\text{qqH}}$, $\mu_{\text{ggH}}$) plane. The value of $\alpha^{\mathrm{H}\tau\tau}$ is profiled.

Observed profiled likelihood on $f_{\Lambda1}$ using Approach 1. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Expected profiled likelihood on $f_{a3}$ using Approach 1. The signal strength modifiers are treated as free parameters.

Observed profiled likelihood on $f_{a3}$ using Approach 1. The signal strength modifiers are treated as free parameters.

Expected profiled likelihood on $f_{\Lambda1}^{Z\gamma}$ using Approach 1. The signal strength modifiers are treated as free parameters.

Observed profiled likelihood on $f_{\Lambda1}^{Z\gamma}$ using Approach 1. The signal strength modifiers are treated as free parameters.

Expected profiled likelihood on $f_{a2}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Observed profiled likelihood on $f_{a2}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Expected profiled likelihood on $f_{\Lambda1}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Observed profiled likelihood on $f_{\Lambda1}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Expected profiled likelihood on $f_{a3}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters.

Observed profiled likelihood on $f_{a3}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters.

Expected profiled likelihood on $f_{a2}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Observed profiled likelihood on $f_{a2}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Expected profiled likelihood on $f_{\Lambda1}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Observed profiled likelihood on $f_{\Lambda1}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Expected profiled likelihood on $f_{a3}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters.

Observed profiled likelihood on $f_{a3}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters.

Expected profiled likelihood on the $\delta c_{Z}$ coupling of the SMEFT Higgs basis.

Observed profiled likelihood on the $\delta c_{Z}$ coupling of the SMEFT Higgs basis.

Expected profiled likelihood on the $c_{Z\Box}$ coupling of the SMEFT Higgs basis.

Observed profiled likelihood on the $c_{Z\Box}$ coupling of the SMEFT Higgs basis.

Expected profiled likelihood on the $c_{ZZ}$ coupling of the SMEFT Higgs basis.

Observed profiled likelihood on the $c_{ZZ}$ coupling of the SMEFT Higgs basis.

Expected profiled likelihood on the $\tilde{c}_{ZZ}$ coupling of the SMEFT Higgs basis.

Observed profiled likelihood on the $\tilde{c}_{ZZ}$ coupling of the SMEFT Higgs basis.

Expected profiled likelihood on $f_{a3}^{ggH}$. The signal strength modifiers and the CP-odd HVV anomalous coupling cross section fraction are treated as free parameters.

Observed profiled likelihood on $f_{a3}^{ggH}$. The signal strength modifiers and the CP-odd HVV anomalous coupling cross section fraction are treated as free parameters.

Expected likelihood scan of $f_{a3}^{\mathrm{ggH}}$ ($\Delta\phi_{\mathrm{jj}}$ method).

Observed likelihood scan of $\alpha_{\mathrm{Hff}}$ (MELA method).

Expected likelihood scan of $\alpha_{\mathrm{Hff}}$ (MELA method).

Observed likelihood scan of $\alpha_{\mathrm{Hff}}$ ($\Delta\phi_{\mathrm{jj}}$ method).

Expected likelihood scan of $\alpha_{\mathrm{Hff}}$ ($\Delta\phi_{\mathrm{jj}}$ method).

Observed likelihood scan of $f_{a3}$ (Approach 1).

Expected likelihood scan of $f_{a3}$ (Approach 1).

Observed likelihood scan of $f_{a2}$.

Expected likelihood scan of $f_{a2}$.

Observed likelihood scan of $f_{\Lambda 1}$.

Expected likelihood scan of $f_{\Lambda 1}$.

Observed likelihood scan of $f_{\Lambda 1}^{\mathrm{Z}\gamma}$.

Expected likelihood scan of $f_{\Lambda 1}^{\mathrm{Z}\gamma}$.

Observed likelihood scan of $f_{a3}$ (Approach 2).

Expected likelihood scan of $f_{a3}$ (Approach 2).

Observed likelihood scan of $f_{a3}$ (Approach 1). $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Expected likelihood scan of $f_{a3}$ (Approach 1). $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Observed likelihood scan of $f_{a2}$. $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Expected likelihood scan of $f_{a2}$. $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Observed likelihood scan of $f_{\Lambda 1}$. $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Expected likelihood scan of $f_{\Lambda 1}$. $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Observed likelihood scan of $f_{\Lambda 1}^{\mathrm{Z}\gamma}$. $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Expected likelihood scan of $f_{\Lambda 1}^{\mathrm{Z}\gamma}$. $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Observed likelihood scan of $f_{a3}$ (Approach 2). $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Expected likelihood scan of $f_{a3}$ (Approach 2). $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Observed likelihood scan of $f_{a3}^{\mathrm{ggH}}$. $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Expected likelihood scan of $f_{a3}^{\mathrm{ggH}}$. $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to4\ell$ channel results are combined.

Observed likelihood scan of $f_{\textit{CP}}^{\mathrm{Htt}}$. $\mathrm{H}\to\tau\tau$, $\mathrm{H}\to4\ell$, and $\mathrm{H}\to\gamma\gamma$ channel results are combined.

Expected likelihood scan of $f_{\textit{CP}}^{\mathrm{Htt}}$. $\mathrm{H}\to\tau\tau$, $\mathrm{H}\to4\ell$, and $\mathrm{H}\to\gamma\gamma$ channel results are combined.

Observed likelihood scan of $c_{\mathrm{gg}}$ ($\kappa$ and $\widetilde{\kappa}_\mathrm{t}$ profiled). $\mathrm{H}\to\tau\tau$, $\mathrm{H}\to4\ell$, and $\mathrm{H}\to\gamma\gamma$ channel results are combined.

Expected likelihood scan of $c_{\mathrm{gg}}$ ($\kappa$ and $\widetilde{\kappa}_\mathrm{t}$ profiled). $\mathrm{H}\to\tau\tau$, $\mathrm{H}\to4\ell$, and $\mathrm{H}\to\gamma\gamma$ channel results are combined.

Observed likelihood scan of $\widetilde{c}_{\mathrm{gg}}$ ($\kappa$ and $\widetilde{\kappa}_\mathrm{t}$ profiled)

Expected likelihood scan of $\widetilde{c}_{\mathrm{gg}}$ ($\kappa$ and $\widetilde{\kappa}_\mathrm{t}$ profiled). $\mathrm{H}\to\tau\tau$, $\mathrm{H}\to4\ell$, and $\mathrm{H}\to\gamma\gamma$ channel results are combined.

Observed likelihood scan of $c_{\mathrm{gg}}$ ($\kappa = 1$ and $\widetilde{\kappa}_\mathrm{t} = 0$). $\mathrm{H}\to\tau\tau$, $\mathrm{H}\to4\ell$, and $\mathrm{H}\to\gamma\gamma$ channel results are combined.

Expected likelihood scan of $c_{\mathrm{gg}}$ ($\kappa = 1$ and $\widetilde{\kappa}_\mathrm{t} = 0$). $\mathrm{H}\to\tau\tau$, $\mathrm{H}\to4\ell$, and $\mathrm{H}\to\gamma\gamma$ channel results are combined.

Observed likelihood scan of $\widetilde{c}_{\mathrm{gg}}$ ($\kappa = 1$ and $\widetilde{\kappa}_\mathrm{t} = 0$). $\mathrm{H}\to\tau\tau$, $\mathrm{H}\to4\ell$, and $\mathrm{H}\to\gamma\gamma$ channel results are combined.

Expected likelihood scan of $\widetilde{c}_{\mathrm{gg}}$ ($\kappa = 1$ and $\widetilde{\kappa}_\mathrm{t} = 0$). $\mathrm{H}\to\tau\tau$, $\mathrm{H}\to4\ell$, and $\mathrm{H}\to\gamma\gamma$ channel results are combined.

Higgs boson transverse momentum spectrum, $H\rightarrow b\overline{b}$

Combined Higgs boson transverse momentum spectrum, ggH only

Combined Higgs boson jet multiplicity spectrum

Higgs boson jet multiplicity spectrum, $H\rightarrow\gamma\gamma$

Higgs boson jet multiplicity spectrum, $H\rightarrow ZZ$

Combined Higgs boson rapidity spectrum

Higgs boson rapidity spectrum, $H\rightarrow\gamma\gamma$

Higgs boson rapidity spectrum, $H\rightarrow ZZ$

Combined leading jet transverse momentum spectrum

Leading jet transverse momentum spectrum, $H\rightarrow\gamma\gamma$

Leading jet transverse momentum spectrum, $H\rightarrow ZZ$

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $\Delta \phi^{\gamma\gamma}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of ||$y^{\gamma\gamma}$|| as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $N_\rm{jets}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $p_\rm{T}^\rm{j1}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of |$y^{\gamma\gamma}-y^{\rm{j1}}$| as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $m_\rm{jj}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $\Delta \eta^{\rm{jj}}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $\Delta \phi^{\gamma\gamma,\rm{jj}}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $\Delta \phi^{\rm{jj}}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of |$\eta^{\gamma\gamma}-(\eta^{\rm{j1}}+\eta^{\rm{j2}})/2$| as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Measured fiducial cross section in fb as a function of Yll.

Measured fiducial cross section in fb/GeV as a function of the leading jet pT, PT(JET1).

Measured normalised fiducial cross section as a function of Njet. Jet PT>25 GeV for |eta|<2.4 and PT>30 GeV for 2.4<|eta|<4.5.

Measured normalised fiducial cross section in 1/GeV as a function of pTH.

Measured normalised fiducial cross section as a function of Yll.

Measured normalised fiducial cross section in 1/GeV as a function of the leading jet pT, PT(JET1).

Jet veto efficiency as a function of PT(JET1) pT threshold.

Full correlation matrix for the measured differential cross section as a function of Njet, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured differential cross section as a function of pTH, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured differential cross section as a function of Yll, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured differential cross section as a function of the leading jet pT, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured normalised differential cross section as a function of Njet, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured normalised differential cross section as a function of pTH, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured normalised differential cross section as a function of Yll, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured normalised differential cross section as a function of the leading jet pT, taking into account statistical and systematic uncertainties.

Fiducial cross section of H+0-jet events in femtobarn for different values of PT(JET1) pT threshold with the uncertainties for each bin given in absolute values and in percent. The asterisk for the 25 GeV column header indicates that the results are for a mixed jet pT threshold, which is raised from 25 GeV to 30 GeV for jets with 2.5 < |eta| < 4.5.

Correction factors from inclusive parton level to fiducial particle level for bins of Njet derived with POWHEG NNLOPS+Pythia8. Uncertainties due to the non-perturbative correction are dominant for the correction factors.

Correction factors from inclusive parton level to fiducial particle level for bins of the leading jet pT derived with POWHEG NNLOPS+Pythia8. Uncertainties due to the non-perturbative correction are dominant for the correction factors.

Correction factors from inclusive parton level to fiducial particle level for the jet-veto efficiency with different jet pT thresholds derived with POWHEG NNLOPS+Pythia8. The asterisk on the 25 GeV bin label indicates that the results are for a mixed pT threshold, which is raised from 25 GeV to 30 GeV for jets with 2.5 < |eta| < 4.5, corresponding to the selection used to define the signal regions for the analysis.

Expected 2-D likelihood scan of the signal strength $\mu_{\tau\tau}$ versus the $CP$-mixing angle $\phi_{\tau}$.

Free-floating parameters in the measurement.

Measured and expected differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ in bin of 50$< p_{T}^{4l} <$100 GeV

Measured and expected differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ in bin of 100$< p_{T}^{4l} <$600 GeV

Measured and expected double differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ in bin of 0.0$< y_{4l} <$0.4

Measured and expected double differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ in bin of 0.4$< y_{4l} <$0.8

Measured and expected double differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ in bin of 0.8$< y_{4l} <$1.2

Measured and expected double differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ in bin of 1.2$< y_{4l} <$2.5

Measured and expected double differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ for MELA$<$1.4 bin

Measured and expected double differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ for MELA$>$1.4 bin

Measured and expected double differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ for $\mu\mu\mu\mu$ events

Measured and expected double differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ for $eeee$ events

Measured and expected double differential cross-section $\text{d}\sigma / \text{d} m_{4l}$ as a function of $m_{4l}$ for $ee\mu\mu$ events

Systematic covariance matrix for the differential $m_{4l}$ distribution.

Statistical covariance matrix for the differential $m_{4l}$ distribution.

Background covariance matrix for the differential $m_{4l}$ distribution.

Systematic covariance matrix for the differential $m_{4l}$-$p_{T}^{4l}$ distribution.<br><br> Bins labelled 1-9 correspond to the 0$< p_{T}^{4l} < $20 GeV bin with $m_{4l}$ values as listed in Table 2.<br> Bins labelled 10-16 correspond to the 20$< p_{T}^{4l} <$50 GeV bin with $m_{4l}$ values as listed in Table 3.<br> Bins labelled 17-23 correspond to the 50$< p_{T}^{4l} <$100 GeV bin with $m_{4l}$ values as listed in Table 4.<br> Bins labelled 24-30 correspond to the 100$< p_{T}^{4l} <$600 GeV bin with $m_{4l}$ values as listed in Table 5.

Statistical covariance matrix for the differential $m_{4l}$-$p_{T}^{4l}$ distribution. <br><br> Bins labelled 1-9 correspond to the 0$< p_{T}^{4l} < $20 GeV bin with $m_{4l}$ values as listed in Table 2.<br> Bins labelled 10-16 correspond to the 20$< p_{T}^{4l} <$50 GeV bin with $m_{4l}$ values as listed in Table 3.<br> Bins labelled 17-23 correspond to the 50$< p_{T}^{4l} <$100 GeV bin with $m_{4l}$ values as listed in Table 4.<br> Bins labelled 24-30 correspond to the 100$< p_{T}^{4l} <$600 GeV bin with $m_{4l}$ values as listed in Table 5.

Background covariance matrix for the differential $m_{4l}$-$p_{T}^{4l}$ distribution. <br><br> Bins labelled 1-9 correspond to the 0$< p_{T}^{4l} < $20 GeV bin with $m_{4l}$ values as listed in Table 2.<br> Bins labelled 10-16 correspond to the 20$< p_{T}^{4l} <$50 GeV bin with $m_{4l}$ values as listed in Table 3.<br> Bins labelled 17-23 correspond to the 50$< p_{T}^{4l} <$100 GeV bin with $m_{4l}$ values as listed in Table 4.<br> Bins labelled 24-30 correspond to the 100$< p_{T}^{4l} <$600 GeV bin with $m_{4l}$ values as listed in Table 5.

Systematic covariance matrix for the differential $m_{4l}$-$y_{4l}$ distribution. <br><br> Bins labelled 1-9 correspond to the 0.0$< y_{4l} < $0.4 bin with $m_{4l}$ values as listed in Table 6.<br> Bins labelled 10-18 correspond to the 0.4$< y_{4l} <$0.8 bin with $m_{4l}$ values as listed in Table 7.<br> Bins labelled 19-26 correspond to the 0.8$< y_{4l} <$1.2 bin with $m_{4l}$ values as listed in Table 8.<br> Bins labelled 27-34 correspond to the 1.2$< y_{4l} <$2.5 bin with $m_{4l}$ values as listed in Table 9.

Statistical covariance matrix for the differential $m_{4l}$-$y_{4l}$ distribution. <br><br> Bins labelled 1-9 correspond to the 0.0$< y_{4l} < $0.4 bin with $m_{4l}$ values as listed in Table 6.<br> Bins labelled 10-18 correspond to the 0.4$< y_{4l} <$0.8 bin with $m_{4l}$ values as listed in Table 7.<br> Bins labelled 19-26 correspond to the 0.8$< y_{4l} <$1.2 bin with $m_{4l}$ values as listed in Table 8.<br> Bins labelled 27-34 correspond to the 1.2$< y_{4l} <$2.5 bin with $m_{4l}$ values as listed in Table 9.

Background covariance matrix for the differential $m_{4l}$-$y_{4l}$ distribution. <br><br> Bins labelled 1-9 correspond to the 0.0$< y_{4l} < $0.4 bin with $m_{4l}$ values as listed in Table 6.<br> Bins labelled 10-18 correspond to the 0.4$< y_{4l} <$0.8 bin with $m_{4l}$ values as listed in Table 7.<br> Bins labelled 19-26 correspond to the 0.8$< y_{4l} <$1.2 bin with $m_{4l}$ values as listed in Table 8.<br> Bins labelled 27-34 correspond to the 1.2$< y_{4l} <$2.5 bin with $m_{4l}$ values as listed in Table 9.

Systematic covariance matrix for the differential $m_{4l}$-MELA distribution. <br><br> Bins labelled 1-7 correspond to the MELA$<$ 0.4 bin with $m_{4l}$ values as listed in Table 10.<br> Bins labelled 8-12 correspond to the MELA$>$ 0.4 bin with $m_{4l}$ values as listed in Table 11.

Statistical covariance matrix for the differential $m_{4l}$-MELA distribution. <br><br> Bins labelled 1-7 correspond to the MELA$<$ 0.4 bin with $m_{4l}$ values as listed in Table 10.<br> Bins labelled 8-12 correspond to the MELA$>$ 0.4 bin with $m_{4l}$ values as listed in Table 11.

Background covariance matrix for the differential $m_{4l}$-MELA distribution. <br><br> Bins labelled 1-7 correspond to the MELA$<$ 0.4 bin with $m_{4l}$ values as listed in Table 10.<br> Bins labelled 8-12 correspond to the MELA$>$ 0.4 bin with $m_{4l}$ values as listed in Table 11.

Systematic covariance matrix for the differential $m_{4l}$-lepton flavour distribution. <br><br> Bins labelled 1-9 correspond to $\mu\mu\mu\mu$ events with $m_{4l}$ values as listed in Table 12.<br> Bins labelled 10-18 correspond to $eeee$ events with $m_{4l}$ values as listed in Table 13.<br> Bins labelled 19-27 correspond to $\mu\mu\mu\mu$ events with $m_{4l}$ values as listed in Table 14.<br>

Statistical covariance matrix for the differential $m_{4l}$-lepton flavour distribution. <br><br> Bins labelled 1-9 correspond to $\mu\mu\mu\mu$ events with $m_{4l}$ values as listed in Table 12.<br> Bins labelled 10-18 correspond to $eeee$ events with $m_{4l}$ values as listed in Table 13.<br> Bins labelled 19-27 correspond to $\mu\mu\mu\mu$ events with $m_{4l}$ values as listed in Table 14.<br>

Background covariance matrix for the differential $m_{4l}$-lepton flavour distribution. <br><br> Bins labelled 1-9 correspond to $\mu\mu\mu\mu$ events with $m_{4l}$ values as listed in Table 12.<br> Bins labelled 10-18 correspond to $eeee$ events with $m_{4l}$ values as listed in Table 13.<br> Bins labelled 19-27 correspond to $\mu\mu\mu\mu$ events with $m_{4l}$ values as listed in Table 14.<br>

The correlation matrix for the Higgs pT measurements, both for the unregularized and regularized fits. The last bin is inclusive.

The correlation matrix for the jet multiplicity measurements, both for the unregularized and regularized fits. The last bin is inclusive.

The correlation matrix for the leading jet pT measurements, both for the unregularized and regularized fits. The last bin is inclusive.

The fiducial integrated signal strength and cross section.

The correlation matrix for the njet measurement. The last bin is inclusive.

The fiducial integrated signal strength and cross section The uncertainty breakdown is given in terms of statistical (stat), experimental (exp), theoretical uncertainties on the background (bkg) and on the signal (sig), and the luminosity uncertainty (lumi). The fiducial cross section and its full uncertainty in each bin are also given.

Observed correlations between the measured reduced stage-1.2 simplified template $VH, H \rightarrow b\bar{b}$ cross-sections (STXS), including both the statistical and systematic uncertainties. All leptonic decays of the $V$ bosons (including those to $\tau$ leptons, $\ell = e, \mu, \tau$) are considered.

Linear combination of Wilson coefficients corresponding to SMEFT operators in the Warsaw basis for which this analysis provides orthogonal constraints (eigenvectors). Eigenvalues are shown for each eigenvector, which provides a measure of the experimental sensitivity to that linear combination. The modifications to the $qq\rightarrow ZH$ and $qq\rightarrow WH$ processes due to SMEFT operators are computed at LO, and changes to the $gg\rightarrow ZH$ process are neglected.

Linear combination of Wilson coefficients corresponding to SMEFT operators in the Warsaw basis for which this analysis provides orthogonal constraints (eigenvectors). Eigenvalues are shown for each eigenvector, which provides a measure of the experimental sensitivity to that linear combination. The modifications to the $qq\rightarrow ZH$ and $qq\rightarrow WH$ processes due to SMEFT operators are computed at LO, and changes to the $gg\rightarrow ZH$ process are neglected.

Observed yields in the boost_0_ge2J signal region category of the hh channel.

Observed yields in the boost_1_1J signal region category of the hh channel.

Observed yields in the boost_1_1J signal region category of the hh channel.

Observed yields in the boost_1_ge2J signal region category of the hh channel.

Observed yields in the boost_1_ge2J signal region category of the hh channel.

Observed yields in the boost_2 signal region category of the hh channel.

Observed yields in the boost_2 signal region category of the hh channel.

Observed yields in the boost_3 signal region category of the hh channel.

Observed yields in the boost_3 signal region category of the hh channel.

Observed yields in the ttH_0 signal region category of the hh channel.

Observed yields in the ttH_0 signal region category of the hh channel.

Observed yields in the ttH_1 signal region category of the hh channel.

Observed yields in the ttH_1 signal region category of the hh channel.

Observed yields in the VH_0 signal region category of the hh channel.

Observed yields in the VH_0 signal region category of the hh channel.

Observed yields in the VH_1 signal region category of the hh channel.

Observed yields in the VH_1 signal region category of the hh channel.

Observed yields in the VBF_0 signal region category of the hh channel.

Observed yields in the VBF_0 signal region category of the hh channel.

Observed yields in the VBF_1 signal region category of the hh channel.

Observed yields in the VBF_1 signal region category of the hh channel.

Observed yields in the boost_0_1J signal region category of the lh channel.

Observed yields in the boost_0_1J signal region category of the lh channel.

Observed yields in the boost_0_ge2J signal region category of the lh channel.

Observed yields in the boost_0_ge2J signal region category of the lh channel.

Observed yields in the boost_1_1J signal region category of the lh channel.

Observed yields in the boost_1_1J signal region category of the lh channel.

Observed yields in the boost_1_ge2J signal region category of the lh channel.

Observed yields in the boost_1_ge2J signal region category of the lh channel.

Observed yields in the boost_2 signal region category of the lh channel.

Observed yields in the boost_2 signal region category of the lh channel.

Observed yields in the boost_3 signal region category of the lh channel.

Observed yields in the boost_3 signal region category of the lh channel.

Observed yields in the VH_0 signal region category of the lh channel.

Observed yields in the VH_0 signal region category of the lh channel.

Observed yields in the VH_1 signal region category of the lh channel.

Observed yields in the VH_1 signal region category of the lh channel.

Observed yields in the VBF_0 signal region category of the lh channel.

Observed yields in the VBF_0 signal region category of the lh channel.

Observed yields in the VBF_1 signal region category of the lh channel.

Observed yields in the VBF_1 signal region category of the lh channel.

Observed yields in the boost_0_1J signal region category of the ll channel.

Observed yields in the boost_0_1J signal region category of the ll channel.

Observed yields in the boost_0_ge2J signal region category of the ll channel.

Observed yields in the boost_0_ge2J signal region category of the ll channel.

Observed yields in the boost_1_1J signal region category of the ll channel.

Observed yields in the boost_1_1J signal region category of the ll channel.

Observed yields in the boost_1_ge2J signal region category of the ll channel.

Observed yields in the boost_1_ge2J signal region category of the ll channel.

Observed yields in the boost_2 signal region category of the ll channel.

Observed yields in the boost_2 signal region category of the ll channel.

Observed yields in the boost_3 signal region category of the ll channel.

Observed yields in the boost_3 signal region category of the ll channel.

Observed yields in the VH_0 signal region category of the ll channel.

Observed yields in the VH_0 signal region category of the ll channel.

Observed yields in the VH_1 signal region category of the ll channel.

Observed yields in the VH_1 signal region category of the ll channel.

Observed yields in the VBF_0 signal region category of the ll channel.

Observed yields in the VBF_0 signal region category of the ll channel.

Observed yields in the VBF_1 signal region category of the ll channel.

Observed yields in the VBF_1 signal region category of the ll channel.

Best-fit values and uncertainties for the pp $\rightarrow H\rightarrow\tau\tau$ cross-section measurement and the measurement in the four dominant production modes. All measurements include the branching ratio of $H\rightarrow\tau\tau$ and are performed with true Higgs boson rapidity $|y_{H}|<2.5$. The SM predictions for each region, computed using the inclusive cross-section calculations and the simulated event samples are also shown. The contributions to the total uncertainty in the measurements from statistical (Stat. unc.) or systematic uncertainties (Syst. unc.) are given separately.

Best-fit values and uncertainties for the pp $\rightarrow H\rightarrow\tau\tau$ cross-section measurement and the measurement in the four dominant production modes. All measurements include the branching ratio of $H\rightarrow\tau\tau$ and are performed with true Higgs boson rapidity $|y_{H}|<2.5$. The SM predictions for each region, computed using the inclusive cross-section calculations and the simulated event samples are also shown. The contributions to the total uncertainty in the measurements from statistical (Stat. unc.) or systematic uncertainties (Syst. unc.) are given separately.

The measured correlations between each parameter of interest in the measurement of the cross-sections per production mode

The measured correlations between each parameter of interest in the measurement of the cross-sections per production mode

Best-fit values and uncertainties for the $H\rightarrow\tau\tau$ cross-sections, in the reduced stage 1.2 STXS scheme. The EW production mode includes vector-boson fusion and qq$\rightarrow$V($\rightarrow$qq)H processes. All measurements include the branching ratio of $H\rightarrow\tau\tau$ and are performed with true Higgs boson rapidity $|y_{H}|<2.5$. The SM predictions for each region, computed using the inclusive cross-section calculations and the simulated event samples are also shown. The contributions to the total uncertainty in the measurements from statistical (Stat. unc.) or systematic uncertainties (Syst. unc.) are given separately. The asterisk symbol (*) indicates that the criteria for m$_{jj}$ only apply to events with at least two reconstructed jets.

Best-fit values and uncertainties for the $H\rightarrow\tau\tau$ cross-sections, in the reduced stage 1.2 STXS scheme. The EW production mode includes vector-boson fusion and qq$\rightarrow$V($\rightarrow$qq)H processes. All measurements include the branching ratio of $H\rightarrow\tau\tau$ and are performed with true Higgs boson rapidity $|y_{H}|<2.5$. The SM predictions for each region, computed using the inclusive cross-section calculations and the simulated event samples are also shown. The contributions to the total uncertainty in the measurements from statistical (Stat. unc.) or systematic uncertainties (Syst. unc.) are given separately. The asterisk symbol (*) indicates that the criteria for m$_{jj}$ only apply to events with at least two reconstructed jets.

The measured correlations between each pair of parameters of interest in the STXS measurement. The asterisk symbol (*) indicates that the criteria for mjj only apply to events with at least two reconstructed jets.

The measured correlations between each pair of parameters of interest in the STXS measurement. The asterisk symbol (*) indicates that the criteria for mjj only apply to events with at least two reconstructed jets.

Measured differential cross section with associated uncertainties as a function of COS(THETA*). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of DELTAYRAP(2GAMMA). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of MULT(JET,PT>30 GEV). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of MULT(JET,PT>50 GEV). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of PT(JET1). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of PT(JET2). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of HT. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of YRAP(JET1). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of YRAP(JET2). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of M(2JET). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of DELTAYRAP(2JET). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of ABSDPHI(2JET). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of DPHI(2JET). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of PT(2GAMMA2JET). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of DPHI(2GAMMA,2JET). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of TAUJET. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of SUM(TAUJET). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of PT(2GAMMA) [NJET=0,PT>30 GEV]. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of PT(2GAMMA) [NJET=1,PT>30 GEV]. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of PT(2GAMMA) [NJET=2,PT>30 GEV]. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of PT(2GAMMA) [NJET>=3,PT>30 GEV]. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

The measured cross sections or cross section limits of the diphoton, VBF-enhanced, Nlepton $\geq$ 1, high $E_{T}^{miss}$, and ttH-enhanced fiducial regions are shown.

Measured differential cross section with associated uncertainties as a function of diphoton transverse momentum in bins of ABS(COS(THETA*)). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.Each systematic uncertainty sources is fully uncorrelated with the other sources.

Non-perturbative correction factors in percent accounting for the impact of hadronisation and the underlying event activity for all measured variables and fiducial regions. Regions of phase space where no reliable estimate could be obtained are listed as 100 without uncertainties. Uncertainties are evaluated by deriving these factors using different generators and tunes as described in the text. No factor are given for the Nlepton $\geq$ 1 and High-$E_{T}^{miss}$ fiducial regions as the gluon fusion contamination in both is negligible.

Isolation efficiencies in percent for gluon fusion $H\rightarrow\gamma\gamma$ for each fiducial region/variable bin measured in this analysis. The isolation efficiency is defined as the probability for both photons to fulfil the isolation criteria (as described in Section 9.1) for events that pass the diphoton kinematic criteria. Regions of phase space where no reliable estimate could be obtained are listed as 100 without uncertainties. Uncertainties are assigned in the same way as for the non-perturbative correction factors: by varying the fragmentation and underlying event modelling. These factors can be multiplied by the kinematic acceptance factors (see Table 29) to extrapolate an inclusive gluon fusion Higgs prediction to the fiducial volume used in this analysis. No factors for the Nlepton $\geq$ 1 and High $E_{T}^{miss}$ fiducial regions are provided as the gluon fusion contamination is negligible.

Combined non-perturbative (Table 27) and particle-level isolation correction factors (Table 28) in percent accounting for the impact of hadronisation and the underlying event activity for all measured variables and fiducial regions. Regions of phase space where no reliable estimate could be obtained are listed as 100 without uncertainties. The uncertainties on the combined values properly take into account the correlations between both multiplicative factors.

Diphoton kinematic acceptances in percent for gluon-gluon fusion for the diphoton fiducial region and all differential variable bins studied in this paper, defined as the probability to fulfill the diphoton kinematic criteria: $p_{T}$/$m_{\gamma\gamma}$ < 0.35 (0.25) for the leading (subleading) photon and $|\eta_{\gamma\gamma}|$ < 2.37. The factors are evaluated using the Powheg NNLOPSevent generator. Uncertainties are taken from PDF variations. QCD scale variations have a negligible impact on these factors. The range of each bin is given in Table 26.

observed statistical correlations between pTyy, Njets, mjj, |DeltaPhijj| and pTj1

ggH default MC + XH predictions

XH ( = VBF + VH + ttH + bbH ) MC predictions

Best-fit values and uncertainties of the production-mode cross sections times branching ratio.

Best-fit values and uncertainties of the simplified template cross sections times branching ratio.

Observed correlations between the measured simplified template cross sections, including both the statistical and systematic uncertainties.

Best-fit values and uncertainties of the simplified template cross sections times branching ratio.

Observed correlations between the measured simplified template cross sections, including both the statistical and systematic uncertainties.

Observed correlations between the measured simplified template cross sections, including both the statistical and systematic uncertainties.

Measured differential cross section with associated uncertainties as a function of absolute rapidity of diphoton system. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of multiplicity of jets with transverse momentum pT(jet) > 30 GeV. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of multiplicity of jets with transverse momentum pT(jet) > 30 GeV. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of multiplicity of jets with transverse momentum pT(jet) > 30 GeV. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of multiplicity of jets with transverse momentum pT(jet) > 30 GeV. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of transverse momentum of the leading jet. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of transverse momentum of the leading jet. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of absolute rapidity of the leading jet. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of absolute rapidity of the leading jet. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of scalar transverse momentum sum of all jets. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of scalar transverse momentum sum of all jets. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of transverse momentum of second leading jet. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of transverse momentum of second leading jet. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of rapidity separation of leading two jets. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of rapidity separation of leading two jets. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of azimuthal angle between diphoton and dijet systems. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of azimuthal angle between diphoton and dijet systems. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of cosine of the decay angle in the Collins-Soper frame. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of cosine of the decay angle in the Collins-Soper frame. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of cosine of the decay angle in the Collins-Soper frame. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of cosine of the decay angle in the Collins-Soper frame. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of azimuthal angle between the two leading jets. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of azimuthal angle between the two leading jets. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of diphoton thrust pT. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of diphoton thrust pT. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of rapidity separation of the two photons. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of rapidity separation of the two photons. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of tau of highest-tau jet (see paper for description). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of tau of highest-tau jet (see paper for description). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of scalar sum of tau for all jets (see paper for description). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of scalar sum of tau for all jets (see paper for description). Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of absolute rapidity of second leading jet. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of absolute rapidity of second leading jet. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of transverse momentum of third leading jet. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of transverse momentum of third leading jet. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of dijet invariant mass. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of dijet invariant mass. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of transverse momentum of the combined diphoton and dijet system. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of transverse momentum of the combined diphoton and dijet system. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of cosine of the decay angle in the Collins-Soper frame in bins of diphoton transverse momentum. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of cosine of the decay angle in the Collins-Soper frame in bins of diphoton transverse momentum. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of diphoton transverse momentum in jet multiplicity bins. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of diphoton transverse momentum in jet multiplicity bins. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of leading jet transverse momentum for exclusive one-jet events. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of leading jet transverse momentum for exclusive one-jet events. Each systematic uncertainty sources is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Diphoton kinematic acceptances in percent for gluon fusion for each fiducial region/variable bin studied in this paper, defined as the probability to fulfil the diphoton kinematic criteria: pT(2gam) < 0.35 (0.25) for the leading (subleading) photon and |eta(gam)|<2.37. The factors are evaluated using the POWHEG event generator with MPI modelling and hadronisation turned off. Consistent results for the diphoton variables are obtained by HRes 2.2. Uncertainties are taken from PDF variations. QCD scale varaitions have a negligible impact on these factors.

Diphoton kinematic acceptances in percent for gluon fusion for each fiducial region/variable bin studied in this paper, defined as the probability to fulfil the diphoton kinematic criteria: pT(2gam) < 0.35 (0.25) for the leading (subleading) photon and |eta(gam)|<2.37. The factors are evaluated using the POWHEG event generator with MPI modelling and hadronisation turned off. Consistent results for the diphoton variables are obtained by HRes 2.2. Uncertainties are taken from PDF variations. QCD scale varaitions have a negligible impact on these factors.

Isolation efficiencies in percent for gluon fusion H -> 2gam for each fiducial region/variable bin measured in this analysis. The isolation efficiency is defined as the probability for both photons to fulfil the isolation criteria (ETiso < 14 GeV as described in the text) for events that pass the diphoton kinematic criteria. Uncertainties are assigned in the same way as for the non-perturbative correction factors: by varying the fragmentation and underlying event modelling. These factors can be multiplied by the kinematic acceptance factors (see table~ ef{tab:fid_acceptance}) to extrapolate an inclusive gluon fusion Higgs prediction to the fiducial volume used in this analysis.

Isolation efficiencies in percent for gluon fusion H -> 2gam for each fiducial region/variable bin measured in this analysis. The isolation efficiency is defined as the probability for both photons to fulfil the isolation criteria (ETiso < 14 GeV as described in the text) for events that pass the diphoton kinematic criteria. Uncertainties are assigned in the same way as for the non-perturbative correction factors: by varying the fragmentation and underlying event modelling. These factors can be multiplied by the kinematic acceptance factors (see table~ ef{tab:fid_acceptance}) to extrapolate an inclusive gluon fusion Higgs prediction to the fiducial volume used in this analysis.

Non-perturbative correction factors in percent accounting for the impact of hadronisation and the underlying event activity for all measured variables and fiducial regions. Uncertainties are evaluated by deriving these factors using different generators and tunes as described in the text.

Non-perturbative correction factors in percent accounting for the impact of hadronisation and the underlying event activity for all measured variables and fiducial regions. Uncertainties are evaluated by deriving these factors using different generators and tunes as described in the text.

Fiducial cross sections in fb from WH, ZH and ttH combined, in each variable bin and fiducial region.

Fiducial cross sections in fb from WH, ZH and ttH combined, in each variable bin and fiducial region.

Statistical bin-to-bin correlations between the 24 bins used in the analysis described in Phys.Lett. B753 (2016) 69-85 (arXiv:1508.02507). See Figure 3 of this paper for the bins used.

Measured cross section in bins of $p_{\rm{T}}^{\rm{j}1}$.

Measured fractions in bins of $p_{\rm{T}}^{\rm{H}}$.

Measured fractions in bins of $|y^{\rm{H}}|$.

Measured fractions in bins of $N_{\rm{jets}}$.

Measured fractions in bins of $p_{\rm{T}}^{\rm{j1}}$.

Correlation matrix for the total uncertainty of the differential cross-section measurement in bins of $p_{\rm{T}}^{\rm{H}}$.

Correlation matrix for the total uncertainty of the differential cross-section measurement in bins of $|y^{\rm{H}}|$.

Correlation matrix for the total uncertainty of the differential cross-section measurement in bins of $N_{\rm{jets}}$.

Correlation matrix for the total uncertainty of the differential cross-section measurement in bins of $p_{\rm{T}}^{\rm{j1}}$.

Correlation matrix for the total uncertainty of the differential shape measurement in bins of $p_{\rm{T}}^{\rm{H}}$.

Correlation matrix for the total uncertainty of the differential shape measurement in bins of $|y^{\rm{H}}|$.

Correlation matrix for the total uncertainty of the differential shape measurement in bins of $N_{\rm{jets}}$.

Correlation matrix for the total uncertainty of the differential shape measurement in bins of $p_{\rm{T}}^{\rm{j1}}$.

The total $pp\to H$ cross section in the $H\to\gamma\gamma$ and $H\to ZZ^*\to 4\ell$ channels and their combination.

Post-fit $m_\text{T}(\gamma, E_\text{T}^\text{miss})$ distribution in the inclusive signal region for the dark-photon search with the 125 GeV mass $\mathcal{B}(H \to \gamma \gamma_\text{d})$ signal normalization set to zero. A $H \to \gamma \gamma_\text{d}$ decay signal is shown for two different mass hypotheses, 125 GeV and 500 GeV, and scaled to a $\mathcal{B}(H \to \gamma \gamma_\text{d})$ of 2% and 1%, respectively. Events with $m_\text{T}(\gamma, E_\text{T}^\text{miss})$ larger than the rightmost bin boundary are added to that bin.

The 95% CL upper limit on the Higgs boson production cross-section times branching ratio to $\gamma \gamma_\text{d}$ is shown for different VBF-produced scalar-mediator-mass hypotheses in the NWA. The theoretically predicted cross-section of a Higgs boson produced via VBF and with the $\mathcal{B}(H \to \gamma \gamma_\text{d}) =$ 5% is superimposed on the $\pm 1\sigma$ and $\pm 2\sigma$ NNLO QCD + NLO EW uncertainty band of the expected production cross-section limit.

Post-fit $m_\text{jj}$ distribution in the inclusive signal region. The Higgs boson invisible decay signal is scaled to a $\mathcal{B}_\text{inv}$ of 37%. Events with $m_\text{jj}$ larger than the rightmost bin boundary are added to that bin.

Post-fit $m_\text{jj}$ distribution in the one-lepton control region $W_{\ell \nu}^\gamma$ CR. Events with $m_\text{jj}$ larger than the rightmost bin boundary are added to that bin.

Post-fit $m_\text{T}$ distribution in the one lepton control region. Events with $m_\text{T}$ larger than the rightmost bin boundary are added to that bin.

Post-fit photon centrality distribution in the zero lepton signal plus control region with the $\mathcal{B}_\text{inv}$ signal normalization set to zero in the fit.

Post-fit photon $E_\text{T}$ distribution in the zero lepton signal region with the $\mathcal{B}_\text{inv}$ signal normalization set to zero in the fit.

Post-fit photon centrality distribution in the zero lepton signal plus control region resulting from the fit to the $m_\text{jj}$ distribution for EW $Z \gamma + \text{jets}$. The post-fit uncertainties include statistical, experimental, and theory contributions.

Post-fit photon $E_\text{T}$ distribution in the zero lepton signal region resulting from the fit to the $m_\text{jj}$ distribution for EW $Z \gamma + \text{jets}$. The post-fit uncertainties include statistical, experimental, and theory contributions.

Post-fit DNN output score distribution in the one lepton control region.

Yields for the EW $Z \gamma + \text{jets}$ process are shown after each selection along with relative and absolute signal acceptance efficiencies.

Yields for the 125 GeV Higgs boson with $\mathcal{B}_\text{inv.} =$ 1 signal produced by the vector boson fusion process in association with a final state photon are shown after each selection along with relative and absolute signal acceptance efficiencies.

Yields for the 125 GeV Higgs boson with $\mathcal{B}(H \to \gamma \gamma_\text{d}) =$ 1 signal produced by the vector boson fusion process are shown after each selection along with relative and absolute signal acceptance efficiencies.