Measured cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $1.56<|\eta^{\gamma}|<1.81$ and photon isolation cone radius $R=0.4$.

Measured cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $1.81<|\eta^{\gamma}|<2.01$ and photon isolation cone radius $R=0.4$.

Measured cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $2.01<|\eta^{\gamma}|<2.37$ and photon isolation cone radius $R=0.4$.

Measured cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $|\eta^{\gamma}|<0.6$ and photon isolation cone radius $R=0.2$.

Measured cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $0.6<|\eta^{\gamma}|<0.8$ and photon isolation cone radius $R=0.2$.

Measured cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $0.8<|\eta^{\gamma}|<1.37$ and photon isolation cone radius $R=0.2$.

Measured cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $1.56<|\eta^{\gamma}|<1.81$ and photon isolation cone radius $R=0.2$.

Measured cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $1.81<|\eta^{\gamma}|<2.01$ and photon isolation cone radius $R=0.2$.

Measured cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $2.01<|\eta^{\gamma}|<2.37$ and photon isolation cone radius $R=0.2$.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $|\eta^{\gamma}|<0.6$ and isolation cone radius $0.4$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $0.6<|\eta^{\gamma}|<0.8$ and isolation cone radius $0.4$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $0.8<|\eta^{\gamma}|<1.37$ and isolation cone radius $0.4$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $1.56<|\eta^{\gamma}|<1.81$ and isolation cone radius $0.4$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $1.81<|\eta^{\gamma}|<2.01$ and isolation cone radius $0.4$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $2.01<|\eta^{\gamma}|<2.37$ and isolation cone radius $0.4$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $|\eta^{\gamma}|<0.6$ and isolation cone radius $0.2$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $0.6<|\eta^{\gamma}|<0.8$ and isolation cone radius $0.2$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $0.8<|\eta^{\gamma}|<1.37$ and isolation cone radius $0.2$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $1.56<|\eta^{\gamma}|<1.81$ and isolation cone radius $0.2$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $1.81<|\eta^{\gamma}|<2.01$ and isolation cone radius $0.2$ at NNLO QCD.

Predicted cross sections for inclusive isolated-photon production as a function of $E_{\rm T}^{\gamma}$ for $2.01<|\eta^{\gamma}|<2.37$ and isolation cone radius $0.2$ at NNLO QCD.

Measured ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $|\eta^{\gamma}|<0.6$.

Measured ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $0.6<|\eta^{\gamma}|<0.8$.

Measured ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $0.8<|\eta^{\gamma}|<1.37$.

Measured ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $1.56<|\eta^{\gamma}|<1.81$.

Measured ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $1.81<|\eta^{\gamma}|<2.01$.

Measured ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $2.01<|\eta^{\gamma}|<2.37$.

Predicted ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $|\eta^{\gamma}|<0.6$ at NNLO QCD.

Predicted ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $0.6<|\eta^{\gamma}|<0.8$ at NNLO QCD.

Predicted ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $0.8<|\eta^{\gamma}|<1.37$ at NNLO QCD.

Predicted ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $1.56<|\eta^{\gamma}|<1.81$ at NNLO QCD.

Predicted ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $1.81<|\eta^{\gamma}|<2.01$ at NNLO QCD.

Predicted ratio of the differential cross sections for inclusive isolated-photon production for $R=0.2$ and $R=0.4$ as a function of $E_{\rm T}^{\gamma}$ for $2.01<|\eta^{\gamma}|<2.37$ at NNLO QCD.

Measured fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $|\eta^{\gamma}|<0.6$.

Measured fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $0.6<|\eta^{\gamma}|<0.8$.

Measured fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $0.8<|\eta^{\gamma}|<1.37$.

Measured fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $1.56<|\eta^{\gamma}|<1.81$.

Measured fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $1.81<|\eta^{\gamma}|<2.01$.

Measured fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $2.01<|\eta^{\gamma}|<2.37$.

Predicted fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $|\eta^{\gamma}|<0.6$ at NNLO QCD.

Predicted fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $0.6<|\eta^{\gamma}|<0.8$ at NNLO QCD.

Predicted fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $0.8<|\eta^{\gamma}|<1.37$ at NNLO QCD.

Predicted fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $1.56<|\eta^{\gamma}|<1.81$ at NNLO QCD.

Predicted fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $1.81<|\eta^{\gamma}|<2.01$ at NNLO QCD.

Predicted fiducial integrated cross section for inclusive isolated-photon production as a function of $R$ for $2.01<|\eta^{\gamma}|<2.37$ at NNLO QCD.

Measured unfolded differential cross-section as a function of the dilepton transverse momentum $p^{ll}_{\mathrm{T}}$. NLO predictions from Sherpa 2.2.10 and MadGraph5_aMC@NLO 2.7.3 are also shown. The uncertainty in the predictions is divided into statistical and theoretical uncertainties (scale and PDF+$\alpha_{s}$).

Measured unfolded differential cross-section as a function of the the four-body transverse momentum $p^{ll\gamma\gamma}_{\mathrm{T}}$. NLO predictions from Sherpa 2.2.10 and MadGraph5_aMC@NLO 2.7.3 are also shown. The uncertainty in the predictions is divided into statistical and theoretical uncertainties (scale and PDF+$\alpha_{s}$).

Measured unfolded differential cross-section as a function of the diphoton invariant mass $m_{\gamma\gamma}$. NLO predictions from Sherpa 2.2.10 and MadGraph5_aMC@NLO 2.7.3 are also shown. The uncertainty in the predictions is divided into statistical and theoretical uncertainties (scale and PDF+$\alpha_{s}$).

Measured unfolded differential cross-section as a function of the four-body invariant mass $m_{ll\gamma\gamma}$. NLO predictions from Sherpa 2.2.10 and MadGraph5_aMC@NLO 2.7.3 are also shown. The uncertainty in the predictions is divided into statistical and theoretical uncertainties (scale and PDF+$\alpha_{s}$).

Expected and observed $95\%$ confidence intervals for the coupling parameters $f_{T,j}/\Lambda^{4}$ of transverse dimension-8 operators. All parameter values outside of the stated range are excluded at the chosen confidence level. No unitarity constraints are applied.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,8}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,0}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,1}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,2}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,5}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,6}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,7}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,9}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Distribution of ${E}_{T}^{miss}$ after the fit of the multijet backgrounds, in the electron channel, in the $t\bar{t}$ 3-jets VR, without applying the cut on ${E}_{T}^{miss}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Distribution of ${E}_{T}^{miss}$ after the fit of the multijet backgrounds, in the electron channel, in the $t\bar{t}$ 4-jets VR, without applying the cut on ${E}_{T}^{miss}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Distribution of $m_{T}^{W}$ after the fit of the multijet backgrounds, in the muon channel, in the signal region, without applying the cut on $m_{T}^{W}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Distribution of $m_{T}^{W}$ after the fit of the multijet backgrounds, in the muon channel, in the $W$+jets VR, without applying the cut on $m_{T}^{W}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Distribution of $m_{T}^{W}$ after the fit of the multijet backgrounds, in the muon channel, in the $t\bar{t}$ 3-jets VR, without applying the cut on $m_{T}^{W}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Distribution of $m_{T}^{W}$ after the fit of the multijet backgrounds, in the muon channel, in the $t\bar{t}$ 4-jets VR, without applying the cut on $m_{T}^{W}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Expected distributions of the MEM discriminant $P(S|X)$ in the SR, for the s-channel single-top signal, and for the $t\bar{t}$ and $W$+jets backgrounds, for MEM discriminant values larger than $2.0\times10^{-4}$. Each distribution is normalised to unity. The binning is the same as the optimised binning used in the signal extraction fit, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the $W$+jets VR. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit presented in Section 5 in the paper. The uncertainty band indicates the simulation's statistical uncertainty and the normalisation uncertainties for the various processes in each bin, summed in quadrature. The ratio of the observed number to the predicted number of events in each bin is shown in the lower panel of the figure, with different vertical axis ranges. The binning is the same as the optimised binning used in the signal extraction fit described in Section 8 in the paper, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the $t\bar{t}$ 3-jets VR. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit presented in Section 5 in the paper. The uncertainty band indicates the simulation's statistical uncertainty and the normalisation uncertainties for the various processes in each bin, summed in quadrature. The ratio of the observed number to the predicted number of events in each bin is shown in the lower panel of the figure, with different vertical axis ranges. The binning is the same as the optimised binning used in the signal extraction fit described in Section 8 in the paper, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the $t\bar{t}$ 4-jets VR. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit presented in Section 5 in the paper. The uncertainty bands indicate the simulation's statistical uncertainty and the normalisation uncertainties for the various processes in each bin, summed in quadrature. The ratio of the observed number to the predicted number of events in each bin is shown in the lower panel of the figure, with different vertical axis ranges. The binning is the same as the optimised binning used in the signal extraction fit described in Section 8 in the paper, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the SR before the fit to data, for MEM discriminant values larger than $2.0\times10^{-4}$. The lower panel of the figure shows the ratio of the data to the prediction, with different vertical axis ranges. The uncertainty band indicates the total uncertainties and their correlations in each bin. The uncertainties in the $t\bar{t}$ and $W$+jets normalisation factors, as well as in the s-channel signal cross-section, are not defined pre-fit and therefore not included. The binning is the same as the optimised binning used in the fit, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the SR after the fit to data, for MEM discriminant values larger than $2.0\times10^{-4}$. The lower panel of the figure shows the ratio of the data to the prediction, with different vertical axis ranges. The uncertainty band indicates the total uncertainties and their correlations in each bin. The binning is the same as the optimised binning used in the fit, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the SR after the fit to data, for MEM discriminant values larger than $2.0\times10^{-4}$, after subtraction of all backgrounds. The fitted distribution for the simulation of the signal is shown together with the post-fit uncertainty in the backgrounds. The binning is the same as the optimised binning used in the fit, resulting in a non-linear horizontal scale.

Pre-fit and post-fit event yields in the SR, for MEM discriminant values larger than $2.0\times10^{-4}$. The central value of the event yield for each process is calculated by summing the values of the discriminant bin contents, using the nominal expected yield for the pre-fit value, and the best-fit estimate for the post-fit value. The error includes statistical and systematic uncertainties summed in quadrature. All sources of systematic uncertainties are included, taking into account correlations and anti-correlations in the post-fit case. The uncertainties in the $t\bar{t}$ and $W$+jets normalisation factors, as well as in the s-channel signal cross-section, are not defined pre-fit and therefore only included in the post-fit uncertainties.

Observed impact of the different sources of uncertainty on the measured s-channel signal cross-section, grouped by categories. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root. The 'Systematic uncertainties' category combines all sources of systematic uncertainties. The statistical uncertainty is obtained by repeating the fit after having fixed all nuisance parameters, including the $t\bar{t}$ and $W$+jets normalisation factors. 'Total' gives the total uncertainty on the measurement.

Observed impact of the different sources of $t\bar{t}$ modelling uncertainty on the measured s-channel signal cross-section. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root. 'PS & had.' refers to the parton shower and hadronisation model, and 'ME/PS matching' to the matching of the ME to the parton shower.

Observed impact of the different sources of s-channel modelling uncertainty on the measured s-channel signal cross-section. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root. 'PS & had.' refers to the parton shower and hadronisation model, as described in Section 7 in the paper.

Observed impact of the different sources of t-channel modelling uncertainty on the measured s-channel signal cross-section. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root. 'PS & had.' refers to the parton shower and hadronisation model, as described in Section 7 in the paper.

Observed impact of the different sources of $tW$ modelling uncertainty on the measured s-channel signal cross-section, grouped by categories. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root. 'PS & had.' refers to the parton shower and hadronisation model, and '$t\bar{t}$ overlap' to the algorithm removing the overlap between $tW$ and $t\bar{t}$ production at NLO, as described in Section 7 in the paper.

Observed impact of the different sources of PDF uncertainties on the measured s-channel signal cross-section, grouped by categories. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root.

Comparison between data and prediction after the fit to data in the signal region for the leading-jet $p_{T}$. The last bin includes the overflow. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the leading-jet $\eta$. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the subleading-jet $p_{T}$. The last bin includes the overflow. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the subleading-jet $\eta$. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the lepton $p_{T}$. The last bin includes the overflow. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the lepton $\eta$. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the ${E}_{T}^{miss}$. The last bin includes the overflow. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the $m_{T}^{W}$. The last bin includes the overflow. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Nuisance parameters ranked according to their post-fit impacts on the best-fit value of the ratio $\mu$ of the measured cross-section to the predicted cross-section. In the figure, only the 20 nuisance parameters with the largest post-fit impacts are shown. The empty (solid) blue rectangles illustrate the pre-fit (post-fit) impact on $\mu$, corresponding to the upper axis. The pre-fit (post-fit) impact of each nuisance parameter, $\Delta\mu$, is calculated as the difference in the fitted value of $\mu$ between the nominal fit and the fit when fixing the corresponding nuisance parameter to $\hat{\theta}\pm\Delta\theta$ ($\hat{\theta}\pm\Delta\hat{\theta}$), where $\hat{\theta}$ is the best-fit value of the nuisance parameter and $\Delta\theta$ ($\Delta\hat{\theta}$) is its pre-fit (post-fit) uncertainty. Several systematic uncertainties are split into different nuisance parameters, which are indicated by NP. JES (JER) indicates jet energy scale (resolution), and $\gamma$ indicates a nuisance parameter associated to the MC statistics in one of the 18 bins numbered from 0 to 17. The black points show the best-fit values of the nuisance parameters, with the error bars representing the post-fit uncertainties. Each nuisance parameter is shown wrt. its nominal value, $\theta_0$, and in units of its pre-fit uncertainty, except the free-floating normalisation factors of the $t\bar{t}$ and $W$+jets backgrounds, and the parameters associated to the MC statistics in each bin, for which the post-fit values and uncertainties are shown.

Correlation matrix of the nuisance parameters and of the ratio $\mu$ of the measured cross-section to the predicted cross-section. The correlations are given after the fit to data. In the figure, only the parameters which have a correlation of at least 0.2 with any other parameter are shown.

Distribution of the MEM discriminant $P(S|X)$ in the SR for MEM discriminant values larger than $2.0\times10^{-4}$, for the collision data used for the measurement, and for 1000 pseudo-data replicas, generated using a bootstrapping technique, in order to assess the statistical correlations between this measurement and others, for the purpose of combinations. The replicas are obtained by reweighting each observed data event by a random integer generated according to Poisson statistics, using the <a href="https://zenodo.org/record/5361038">BootstrapGenerator</a> software package , which implements a technique described in <a href="https://cds.cern.ch/record/2759945/">ATL-PHYS-PUB-2021-011</a>. The ATLAS event number and run number of each event are used as seed to uniquely but reproducibly initialise the random number generator for each event. Each pseudo-data replica is assigned an index, ranging from 0 to 999, corresponding to the random number index used consistently for each observed data event.

Measured values of the signal cross-section and of the $t\bar{t}$ and $W$+jets normalisation factors, obtained by statistical-only fits to the collision data used for the measurement, and to 1000 pseudo-data replicas, generated using a bootstrapping technique, in order to assess the statistical correlations between this measurement and others, for the purpose of combinations. The central values and their statistical uncertainties are obtained by repeating the fit after having fixed all nuisance parameters, except the $t\bar{t}$ and $W$+jets normalisation factors, which are let free-floating (unlike for the statistical uncertainty on the cross-section quoted in the paper). The replicas are obtained by reweighting each observed data event by a random integer generated according to Poisson statistics, using the <a href="https://zenodo.org/record/5361038">BootstrapGenerator</a> software package , which implements a technique described in <a href="https://cds.cern.ch/record/2759945/">ATL-PHYS-PUB-2021-011</a>. The ATLAS event number and run number of each event are used as seed to uniquely but reproducibly initialise the random number generator for each event. Each pseudo-data replica is assigned an index, ranging from 0 to 999, corresponding to the random number index used consistently for each observed data event.

The nuclear slope parameter C from a fit of the form exp(-Bt-Ct^2-Dt^3). The systematic uncertainty includes experimental and theoretical uncerainties.

The nuclear slope parameter D from a fit of the form exp(-Bt-Ct^2-Dt^3). The systematic uncertainty includes experimental and theoretical uncerainties.

The total elastic cross section measured inside the fiducial volume. The systematic uncertainty includes experimental uncertainties.

The total elastic cross section obtained from the fitted parameters, extrapolated to full phase space using only the nuclear amplitude.

The total inelastic cross section.

The ratio of elastic to total cross section.

The differential elastic cross section as function of t with statistical and systematic uncertainties. The systematic uncertainties are given as signed relative change for 20 sources of experimental uncertainty associated to nuisance parameters used in the fit for the extraction of physics parameters.

Statistical covariance matrix for the measurement of the differential elastic cross section as function of t.

Correlation matrix for the measurement of STXS parameters in each of the 28 regions considered.

Fitted values for kappa_g and kappa_y.

Correlation matrix for the measurement of kappa_g and kappa_y.

Summary of the 68% CL confidence intervals for individual measurements of SMEFT parameters observed in data. In each case, SMEFT parameters other than the one measured are fixed to 0.

Results of the EV parameter measurement in data, in the linear and linear+quadratic parameterizations of the SMEFT. All the EVs parameters are free to vary in the fits. The ranges correspond to 68% CL confidence intervals.

Observed linear correlation coefficients of the EVs parameters in the linear parameterization.

Observed linear correlation coefficients of the EVs parameters in the linear+quadratic parameterization.

Cross-sections times H->yy branching ratio for ggF +bbH, VBF, VH, ttH, and tH production. The values are obtained from a simultaneous fit to all categories. The theory uncertainties in the predictions include uncertainties due to missing higher-order terms in the perturbative QCD calculations and choices of parton distribution functions and value of alpha_s, as well as the H->yy branching ratio uncertainty.

Best-fit values and uncertainties for STXS parameters in each of the 28 regions considered. The values for the gg->H process also include the contributions from bbH production.

Correlation matrix for the measurement of STXS parameters in each of the 33 regions considered.

Measured fiducial differential cross sections for the jet multiplicity in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the $\Delta R_{Z,j}^{min}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the $r_{Z,j}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the $r_{Z,j}$ in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the $r_{Z,j}$ in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the jet multiplicity in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the jet multiplicity in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the H$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the $\Delta R_{Z,j}^{min}$ in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the jet multiplicity in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The statistical, systematic, and luminosity uncertainties are given.

Systematic uncertainties for the Z boson p$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the leading jet p$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the jet multiplicity in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the jet multiplicity in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the $\Delta R_{Z,j}^{min}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the $r_{Z,j}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the $r_{Z,j}$ in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the $r_{Z,j}$ in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the jet multiplicity in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the jet multiplicity in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the H$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the $\Delta R_{Z,j}^{min}$ in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the jet multiplicity in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the Z boson p$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the leading jet p$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the jet multiplicity in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the jet multiplicity in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the $\Delta R_{Z,j}^{min}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the $r_{Z,j}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the $r_{Z,j}$ in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the $r_{Z,j}$ in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the jet multiplicity in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the jet multiplicity in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the H$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the $\Delta R_{Z,j}^{min}$ in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with leptons at the Born-level to the cross section calculated with dressed leptons as a function of the jet multiplicity in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the Z boson p$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the leading jet p$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the jet multiplicity in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the jet multiplicity in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the $\Delta R_{Z,j}^{min}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the $r_{Z,j}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the $r_{Z,j}$ in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the $r_{Z,j}$ in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the jet multiplicity in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the jet multiplicity in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the H$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the $\Delta R_{Z,j}^{min}$ in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Correction scale factor from the cross section calculated with an overlap removal with jets of pT greater than 100 GeV to the cross section calculated with an overlap removal with jets of pT greater than 30 GeV as a function of the jet multiplicity in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, averaging the electron and muon channels, derived with Sherpa2.2.11. The systematic uncertainty is obtained with an enveloppe around scale factors computed from Sherpa2.2.1 and MG5_aMC+Py8 CKKWL.

Measured fiducial differential cross sections for the Z boson p$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the leading jet p$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the jet multiplicity in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the jet multiplicity in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the $\Delta R_{Z,j}^{min}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the $r_{Z,j}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the $r_{Z,j}$ in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the $r_{Z,j}$ in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the jet multiplicity in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the jet multiplicity in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the H$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the $\Delta R_{Z,j}^{min}$ in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Measured fiducial differential cross sections for the jet multiplicity in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The statistical, systematic, and luminosity uncertainties are given.

Systematic uncertainties for the Z boson p$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the leading jet p$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the jet multiplicity in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the jet multiplicity in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the $\Delta R_{Z,j}^{min}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the $r_{Z,j}$ in the high-p$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the $r_{Z,j}$ in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the $r_{Z,j}$ in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the jet multiplicity in the collinear region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the jet multiplicity in the back-to-back region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the H$_{\mathrm{T}}$ in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the $\Delta R_{Z,j}^{min}$ in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

Systematic uncertainties for the jet multiplicity in the high-S$_{\mathrm{T}}$ region in Z($\to \ell^{+} \ell^{-}$) + high p$_{\mathrm{T}}$ jets events, where the EW Zjj contribution is treated as signal and not subtracted as background. The uncertainties are presented as a percentage of the measured cross-section for the upward variation of each source of uncertainty in each bin.

The effective exponential slope, $b_n$, obtained from the fit of double differential photoproduction cross sections ${\rm d^2}\sigma_{\gamma p}/{\rm d}x_L{\rm d}p_{T,n}^2$ to a single exponential function in bins of $x_L$. The first uncertainty represents the fit error from the statistical and uncorrelated systematic uncertainty and the second one is due to the correlated systematic uncertainty.

Energy dependence of the exclusive photoproduction of a $\rho^0$ meson associated with a leading neutron, $\gamma p \to \rho^0 n \pi^+$. The first uncertainty is statistical and the second is systematic. The global normalisation uncertainty of $4.4\%$ is not included. $\Phi_{\gamma}$ is the integral of the photon flux, Eq. (3) of paper, in a given $W_{\gamma p}$ bin.

Differential photoproduction cross section ${\rm d}\sigma_{\gamma p}/{\rm d}\eta$ for the exclusive process $\gamma p \to \rho^0 n \pi^+$ as a function of the $\rho^0$ pseudorapidity in the kinematic range $0.35 < x_L < 0.95$, $\theta_n < 0.75$ mrad and $20 < W_{\gamma p} < 100$ GeV. The statistical, uncorrelated and correlated systematic uncertainties, $\delta_{stat}$, $\delta_{sys}^{unc}$ and $\delta_{sys}^{cor}$ respectively, are given, which does not include the global normalisation error of $4.4\%$.

Differential photoproduction cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ for the exclusive process $\gamma p \to \rho^0 n \pi^+$ as a function of the $\rho^0$ four-momentum transfer squared, $t^{\prime}$, in the kinematic range $0.35 < x_L < 0.95$, $\theta_n < 0.75$ mrad and $20 < W_{\gamma p} < 100$ GeV. The statistical, uncorrelated and correlated systematic uncertainties, $\delta_{stat}$, $\delta_{sys}^{unc}$ and $\delta_{sys}^{cor}$ respectively, are given, which does not include the global normalisation error of $4.4\%$.

Exponential slopes, $b_1$ and $b_2$, and the ratio $\sigma_1/\sigma_2$, obtained from the components of fit, Eq. (14) of paper, to the differential cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ in bins of $x_L$. The errors represent the statistical and systematic uncertainties added in quadrature.

Exponential slopes, $b_1$ and $b_2$, and the ratio $\sigma_1/\sigma_2$, obtained from the components of fit, Eq. (14) of paper, to the differential cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ in bins of $p_{T,n}^2$. The errors represent the statistical and systematic uncertainties added in quadrature.

Energy dependence of elastic $\rho^0$ photoproduction on the pion, $\gamma \pi^+ \to \rho^0 \pi^+$, extracted in the one-pion-exchange approximation using OPE1 sample. The first uncertainty represents the full experimental error and the second is the model error coming from the pion flux uncertainty (see text). $\Gamma_\pi(x_L)$ represents the value of the pion flux, Eqs. (5-6) of paper, integrated over the $p_{T,n}<0.2$ GeV range, at a given $x_L$.

Cross section of elastic $\rho^0$ photoproduction on the pion, $\gamma \pi^+ \to \rho^0 \pi^+$, extracted in the one-pion-exchange approximation using three different samples: full sample, OPE1 and OPE2. The first uncertainty represents the full experimental error and the second is the model error coming from the pion flux uncertainty (see text). $\Gamma_\pi$ represents the value of the pion flux, Eqs. (5-6) of paper, integrated over the corresponding $(x_L,p_{T,n})$ range.

HERA combined reduced cross sections $\sigma_{r,\rm NC}^{+}$ for NC $e^{+}p$ scattering at $\sqrt{s} = 225$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm NC}^{+}$.

HERA combined reduced cross sections $\sigma_{r,\rm NC}^{-}$ for NC $e^{-}p$ scattering at $\sqrt{s} = 318$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm NC}^{-}$.

HERA combined reduced cross sections $\sigma_{r,\rm CC}^{+}$ for CC $e^{+}p$ scattering at $\sqrt{s} = 318$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm CC}^{+}$.

HERA combined reduced cross sections $\sigma_{r,\rm CC}^{-}$ for CC $e^{-}p$ scattering at $\sqrt{s} = 318$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm CC}^{-}$.

Structure function $xF_3^{\gamma Z}$ for different values of $Q^2$ and $x_{\rm Bj}$.

Structure function $xF_3^{\gamma Z}$ averaged over $Q^2 \ge 1000$ GeV$^2$ at the scale 1000 GeV$^2$.

Bin averaged hadron level differential cross sections as a function of the variable $z_{I\!\!P}$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections as a function of the variable $x_{I\!\!P}$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections as a function of the variable $y$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections as a function of the variable $Q^2$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $E_T^{*\text{jet1}}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $M_X$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $\vert\Delta\eta^{\text{jets}}\vert$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $\langle\eta^{\text{jets}}\rangle$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $z_{I\!\!P}$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $x_{I\!\!P}$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $y$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $x_\gamma$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $E_T^{*\text{jet1}}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $M_X$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $\vert\Delta\eta^{\text{jets}}\vert$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $\langle\eta^{\text{jets}}\rangle$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $\vert\Delta\eta^{\text{jets}}\vert$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $y$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $z_{I\!\!P}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $E_T^{*\text{jet1}}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.