Summary of the systematic uncertainties on the ratio RMN.

Summary of the systematic uncertainties on the ratio Rincl_veto.

Summary of the systematic uncertainties on the ratio RMN_veto.

Differential cross section dσincl/d∆y for inclusive dijet production together with predictions of different MC models.

Differential cross section dσMN/d∆y for Mueller-Navelet dijet production together with predictions of different MC models.

Ratio Rincl of the cross sections for inclusive to ”exclusive” dijet production together with predictions of different MC models.

Ratio Rincl_veto of the cross sections for inclusive to ”exclusive” with veto dijet production together with predictions of different MC models.

Ratio RMN of the cross sections for Mueller-Navelet to ”exclusive” dijet production together with predicgtion of different MC models.

Ratio RMN_veto of the cross sections for Mueller-Navelet to ”exclusive” with veto dijet production together with predictions of different MC models.

Summary of the systematic uncertainties on the cross section dσincl/d∆y.

Summary of the systematic uncertainties on the cross section dσMN/d∆y.

Summary of the systematic uncertainties on the ratio Rincl.

Summary of the systematic uncertainties on the ratio RMN.

Summary of the systematic uncertainties on the ratio Rincl_veto.

Summary of the systematic uncertainties on the ratio RMN_veto.

Differential cross section dσincl/d∆y for inclusive dijet production together with predictions of different MC models.

Differential cross section dσMN/d∆y for Mueller-Navelet dijet production together with predictions of different MC models.

Ratio Rincl of the cross sections for inclusive to ”exclusive” dijet production together with predictions of different MC models.

Ratio Rincl_veto of the cross sections for inclusive to ”exclusive” with veto dijet production together with predictions of different MC models.

Ratio RMN of the cross sections for Mueller-Navelet to ”exclusive” dijet production together with predicgtion of different MC models.

Ratio RMN_veto of the cross sections for Mueller-Navelet to ”exclusive” with veto dijet production together with predictions of different MC models.

Distributions of $\Delta\phi_{\mathrm{trk,Z}}$ in 30-50% centrality PbPb collisions at 5.02 TeV.

Distributions of $\Delta\phi_{\mathrm{trk,Z}}$ in 0-30% centrality PbPb collisions at 5.02 TeV.

PbPb - pp difference of $\Delta\phi_{\mathrm{trk,Z}}$ distributions for 70-90% centrality PbPb collisions at 5.02 TeV.

PbPb - pp difference of $\Delta\phi_{\mathrm{trk,Z}}$ distributions for 50-70% centrality PbPb collisions at 5.02 TeV.

PbPb - pp difference of $\Delta\phi_{\mathrm{trk,Z}}$ distributions for 30-50% centrality PbPb collisions at 5.02 TeV.

PbPb - pp difference of $\Delta\phi_{\mathrm{trk,Z}}$ distributions for 0-30% centrality PbPb collisions at 5.02 TeV.

Distributions of $\xi^{\mathrm{trk,Z}}_{\mathrm{T}}$ in pp collisions at 5.02 TeV.

Distributions of $\xi^{\mathrm{trk,Z}}_{\mathrm{T}}$ in 70-90% centrality PbPb collisions at 5.02 TeV.

Distributions of $\xi^{\mathrm{trk,Z}}_{\mathrm{T}}$ in 50-70% centrality PbPb collisions at 5.02 TeV.

Distributions of $\xi^{\mathrm{trk,Z}}_{\mathrm{T}}$ in 30-50% centrality PbPb collisions at 5.02 TeV.

Distributions of $\xi^{\mathrm{trk,Z}}_{\mathrm{T}}$ in 0-30% centrality PbPb collisions at 5.02 TeV.

PbPb / pp ratio of $\xi^{\mathrm{trk,Z}}_{\mathrm{T}}$ distributions for 70-90% centrality PbPb collisions at 5.02 TeV.

PbPb / pp ratio of $\xi^{\mathrm{trk,Z}}_{\mathrm{T}}$ distributions for 50-70% centrality PbPb collisions at 5.02 TeV.

PbPb / pp ratio of $\xi^{\mathrm{trk,Z}}_{\mathrm{T}}$ distributions for 30-50% centrality PbPb collisions at 5.02 TeV.

PbPb / pp ratio of $\xi^{\mathrm{trk,Z}}_{\mathrm{T}}$ distributions for 0-30% centrality PbPb collisions at 5.02 TeV.

Distributions of p$^{\mathrm{trk}}_{\mathrm{T}}$ in pp collisions at 5.02 TeV.

Distributions of p$^{\mathrm{trk}}_{\mathrm{T}}$ in pp collisions at 5.02 TeV.

Distributions of p$^{\mathrm{trk}}_{\mathrm{T}}$ in 70-90% centrality PbPb collisions at 5.02 TeV.

Distributions of p$^{\mathrm{trk}}_{\mathrm{T}}$ in 50-70% centrality PbPb collisions at 5.02 TeV.

Distributions of p$^{\mathrm{trk}}_{\mathrm{T}}$ in 30-50% centrality PbPb collisions at 5.02 TeV.

Distributions of p$^{\mathrm{trk}}_{\mathrm{T}}$ in 0-30% centrality PbPb collisions at 5.02 TeV.

PbPb / pp ratio of p$^{\mathrm{trk}}_{\mathrm{T}}$ distributions for 70-90% centrality PbPb collisions at 5.02 TeV.

PbPb / pp ratio of p$^{\mathrm{trk}}_{\mathrm{T}}$ distributions for 50-70% centrality PbPb collisions at 5.02 TeV.

PbPb / pp ratio of p$^{\mathrm{trk}}_{\mathrm{T}}$ distributions for 30-50% centrality PbPb collisions at 5.02 TeV.

PbPb / pp ratio of p$^{\mathrm{trk}}_{\mathrm{T}}$ distributions for 0-30% centrality PbPb collisions at 5.02 TeV.

The nuclear modification factor R$_{\rm AA}$, as a function of $z$ in the 0-20 and 20-30 collisions centrality ranges.

The acceptance- and efficiency-corrected yields for the $\mathrm{B}^{+}$ mesons, scaled by $T_{\mathrm{AA}}$ and $N_{\text{MB}}$ in PbPb collisions at $\sqrt{s_{NN}}=5.02$ TeV. The results are shown as a function of the event $\langle N_{part} \rangle$.

The acceptance- and efficiency-corrected $\mathrm{B}^{0}_{\mathrm{s}}/\mathrm{B}^{+}$ yields in PbPb collisions at $\sqrt{s_{NN}}=5.02$. TeV. The results are shown as a function of the meson $p_T$.

The acceptance- and efficiency-corrected $\mathrm{B}^{0}_{\mathrm{s}}/\mathrm{B}^{+}$ yields in PbPb collisions at $\sqrt{s_{NN}}=5.02$. The results are shown as a function of the event $\langle N_{part} \rangle$.

Distribution of $m_{T}(W)$ in the $N_{jet}\geq 3$ signal region.

Distribution of $M_{3}$ in the $N_{jet}\geq 3$ signal region.

Distribution of $M_{3}$ in the $N_{jet}\geq 3$ signal region.

Distribution of $m(l,\gamma)$ in the $N_{jet}\geq 3$ signal region.

Distribution of $m(l,\gamma)$ in the $N_{jet}\geq 3$ signal region.

Distribution of $\Delta R(l,\gamma)$ in the $N_{jet}\geq 3$ signal region.

Distribution of $\Delta R(l,\gamma)$ in the $N_{jet}\geq 3$ signal region.

Distribution of $\Delta R(j,\gamma)$ in the $N_{jet}\geq 3$ signal region.

Distribution of $\Delta R(j,\gamma)$ in the $N_{jet}\geq 3$ signal region.

Fit result of the multijet template obtained with loosely isolated leptons and the electroweak background to the measured $m_{T}(W)$ distribution with isolated leptons in the $N_{jet}=2$, $N_{b jet}=0$ selection for electrons.

Fit result of the multijet template obtained with loosely isolated leptons and the electroweak background to the measured $m_{T}(W)$ distribution with isolated leptons in the $N_{jet}=2$, $N_{b jet}=0$ selection for electrons.

Fit result of the multijet template obtained with loosely isolated leptons and the electroweak background to the measured $m_{T}(W)$ distribution with isolated leptons in the $N_{jet}=2$, $N_{b jet}=0$ selection for muons.

Fit result of the multijet template obtained with loosely isolated leptons and the electroweak background to the measured $m_{T}(W)$ distribution with isolated leptons in the $N_{jet}=2$, $N_{b jet}=0$ selection for muons.

Distribution of the invariant mass of the lepton and the photon ($m(l,\gamma)$) in the $N_{jet}\geq 3$, $N_{b jet}=0$ selection for the e channel.

Distribution of the invariant mass of the lepton and the photon ($m(l,\gamma)$) in the $N_{jet}\geq 3$, $N_{b jet}=0$ selection for the e channel.

Distribution of the invariant mass of the lepton and the photon ($m(l,\gamma)$) in the $N_{jet}\geq 3$, $N_{b jet}=0$ selection for the $\mu$ channel.

Distribution of the invariant mass of the lepton and the photon ($m(l,\gamma)$) in the $N_{jet}\geq 3$, $N_{b jet}=0$ selection for the $\mu$ channel.

Extracted scale factors for the contribution from misidentified electrons for the three data-taking periods, and the Z$\gamma$, W$\gamma$ simulations.

Extracted scale factors for the contribution from misidentified electrons for the three data-taking periods, and the Z$\gamma$, W$\gamma$ simulations.

Predicted and observed yields in the control regions in the $N_{jet}= 3$ and $\geq 4$ seletions using the post-fit values of the nuisance parameters.

Predicted and observed yields in the control regions in the $N_{jet}= 3$ and $\geq 4$ seletions using the post-fit values of the nuisance parameters.

Predicted and observed yields in the signal regions in the $N_{jet}= 3$ and $\geq 4$ seletions using the post-fit values of the nuisance parameters.

Predicted and observed yields in the signal regions in the $N_{jet}= 3$ and $\geq 4$ seletions using the post-fit values of the nuisance parameters.

The measured inclusive ttgamma cross section in the fiducial phase space compared to the prediction from simulation using Madgraph_aMC@NLO at a center-of-mass energy of 13 TeV.

The measured inclusive ttgamma cross section in the fiducial phase space compared to the prediction from simulation using Madgraph_aMC@NLO at a center-of-mass energy of 13 TeV.

Summary of the measured cross section ratios with respect to the NLO cross section prediction for signal regions binned in the electron channel, muon channel and the combined single lepton measurement.

Summary of the measured cross section ratios with respect to the NLO cross section prediction for signal regions binned in the electron channel, muon channel and the combined single lepton measurement.

The unfolded differential cross sections for $p_{T}(\gamma)$ and the comparison to simulations.

The unfolded differential cross sections for $p_{T}(\gamma)$ and the comparison to simulations.

The unfolded differential cross sections for $|\eta(\gamma)|$ and the comparison to simulations.

The unfolded differential cross sections for $|\eta(\gamma)|$ and the comparison to simulations.

The unfolded differential cross sections for $\Delta R(l,\gamma)$ and the comparison to simulations.

The unfolded differential cross sections for $\Delta R(l,\gamma)$ and the comparison to simulations.

The covariance matrix of systematic uncertainties for the unfolded differential measurement for $p_{T}(\gamma)$.

The covariance matrix of systematic uncertainties for the unfolded differential measurement for $p_{T}(\gamma)$.

The covariance matrix of systematic uncertainties for the unfolded differential measurement for $|\eta(\gamma)|$.

The covariance matrix of systematic uncertainties for the unfolded differential measurement for $|\eta(\gamma)|$.

The covariance matrix of systematic uncertainties for the unfolded differential measurement for $\Delta R(l,\gamma)$.

The covariance matrix of systematic uncertainties for the unfolded differential measurement for $\Delta R(l,\gamma)$.

The covariance matrix of statistic uncertainties for the unfolded differential measurement for $p_{T}(\gamma)$.

The covariance matrix of statistic uncertainties for the unfolded differential measurement for $p_{T}(\gamma)$.

The covariance matrix of statistic uncertainties for the unfolded differential measurement for $|\eta(\gamma)|$.

The covariance matrix of statistic uncertainties for the unfolded differential measurement for $|\eta(\gamma)|$.

The covariance matrix of statistic uncertainties for the unfolded differential measurement for $\Delta R(l,\gamma)$.

The covariance matrix of statistic uncertainties for the unfolded differential measurement for $\Delta R(l,\gamma)$.

The correlation matrix of statistical uncertainties for the unfolded differential measurement for $p_{T}(\gamma)$.

The correlation matrix of statistical uncertainties for the unfolded differential measurement for $p_{T}(\gamma)$.

The correlation matrix of statistical uncertainties for the unfolded differential measurement for $|\eta(\gamma)|$.

The correlation matrix of statistical uncertainties for the unfolded differential measurement for $|\eta(\gamma)|$.

The correlation matrix of statistical uncertainties for the unfolded differential measurement for $\Delta R(l,\gamma)$.

The correlation matrix of statistical uncertainties for the unfolded differential measurement for $\Delta R(l,\gamma)$.

The correlation matrix of systematic uncertainties for the unfolded differential measurement for $p_{T}(\gamma)$.

The correlation matrix of systematic uncertainties for the unfolded differential measurement for $p_{T}(\gamma)$.

The correlation matrix of systematic uncertainties for the unfolded differential measurement for $|\eta(\gamma)|$.

The correlation matrix of systematic uncertainties for the unfolded differential measurement for $|\eta(\gamma)|$.

The correlation matrix of systematic uncertainties for the unfolded differential measurement for $\Delta R(l,\gamma)$.

The correlation matrix of systematic uncertainties for the unfolded differential measurement for $\Delta R(l,\gamma)$.

Summary of the one-dimensional intervals at 68 and 95% CL.

Summary of the one-dimensional intervals at 68 and 95% CL.

The observed and predicted post-fit yields for the combined Run 2 data set in the SR3 signal region for the electron channel.

The observed and predicted post-fit yields for the combined Run 2 data set in the SR3 signal region for the electron channel.

The observed and predicted post-fit yields for the combined Run 2 data set in the SR3 signal region for the muon channel.

The observed and predicted post-fit yields for the combined Run 2 data set in the SR3 signal region for the muon channel.

The observed and predicted post-fit yields for the combined Run 2 data set in the SR4p signal region for the electron channel.

The observed and predicted post-fit yields for the combined Run 2 data set in the SR4p signal region for the electron channel.

The observed and predicted post-fit yields for the combined Run 2 data set in the SR4p signal region for the muon channel.

The observed and predicted post-fit yields for the combined Run 2 data set in the SR4p signal region for the muon channel.

Negative log-likelihood ratio values with respect to the best fit value of the one-dimensional profiled scan for the Wilson coefficient $c_{tZ}$.

Negative log-likelihood ratio values with respect to the best fit value of the one-dimensional profiled scan for the Wilson coefficient $c_{tZ}$.

Negative log-likelihood ratio values with respect to the best fit value of the one-dimensional profiled scan for the Wilson coefficient $c^{I}_{tZ}$.

Negative log-likelihood ratio values with respect to the best fit value of the one-dimensional profiled scan for the Wilson coefficient $c^{I}_{tZ}$.

Negative log-likelihood ratio values with respect to the best fit value of the one-dimensional scan for the Wilson coefficient $c_{tZ}$.

Negative log-likelihood ratio values with respect to the best fit value of the one-dimensional scan for the Wilson coefficient $c_{tZ}$.

Negative log-likelihood ratio values with respect to the best fit value of the one-dimensional scan for the Wilson coefficient $c^{I}_{tZ}$.

Negative log-likelihood ratio values with respect to the best fit value of the one-dimensional scan for the Wilson coefficient $c^{I}_{tZ}$.

Negative log-likelihood ratio values with respect to the best fit value of the two-dimensional scan for the Wilson coefficients $c_{tZ}$ and $c^{I}_{tZ}$.

Negative log-likelihood ratio values with respect to the best fit value of the two-dimensional scan for the Wilson coefficients $c_{tZ}$ and $c^{I}_{tZ}$.

Product of acceptance and efficiency for dimuon pairs as a function of generated mass in simulated events. The DY samples are used to represent spin-1 particles, and RS graviton samples are used for spin-2 particles.

The invariant mass spectra of dielectron events. The points with error bars represent the observed yield. The histogram represents the expectations from the SM processes. The bins have equal width in logarithmic scale so that the width in GeV becomes larger with increasing mass.

The invariant mass spectra of dielectron events. The points with error bars represent the observed yield. The histogram represents the expectations from the SM processes. The bins have equal width in logarithmic scale so that the width in GeV becomes larger with increasing mass.

The invariant mass spectra of dimuon events. The points with error bars represent the observed yield. The histogram represents the expectations from the SM processes. The bins have equal width in logarithmic scale so that the width in GeV becomes larger with increasing mass.

The invariant mass spectra of dimuon events. The points with error bars represent the observed yield. The histogram represents the expectations from the SM processes. The bins have equal width in logarithmic scale so that the width in GeV becomes larger with increasing mass.

The invariant mass distribution of pairs of electrons observed in data and expected from simulated SM processes for $\cos\theta^* < 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

The invariant mass distribution of pairs of electrons observed in data and expected from simulated SM processes for $\cos\theta^* < 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

The invariant mass distribution of pairs of electrons observed in data and expected from simulated SM processes for $\cos\theta^* /geq 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

The invariant mass distribution of pairs of electrons observed in data and expected from simulated SM processes for $\cos\theta^* /geq 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

The invariant mass distribution of pairs of muons observed in data and expected from simulated SM processes for $\cos\theta^* < 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

The invariant mass distribution of pairs of muons observed in data and expected from simulated SM processes for $\cos\theta^* < 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

The invariant mass distribution of pairs of muons observed in data and expected from simulated SM processes for $\cos\theta^* /geq 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

The invariant mass distribution of pairs of muons observed in data and expected from simulated SM processes for $\cos\theta^* /geq 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

Observed and expected background yields for different mass ranges in the dielectron channel. The sum of all background contributions is shown as well as a breakdown into the three main categories. The quoted uncertainty includes both the statistical and the systematic components.

Observed and expected background yields for different mass ranges in the dielectron channel. The sum of all background contributions is shown as well as a breakdown into the three main categories. The quoted uncertainty includes both the statistical and the systematic components.

Observed and expected background yields for different mass ranges in the dimuon channel. The sum of all background contributions is shown as well as a breakdown into the three main categories. The quoted uncertainty includes both the statistical and the systematic components.

Observed and expected background yields for different mass ranges in the dimuon channel. The sum of all background contributions is shown as well as a breakdown into the three main categories. The quoted uncertainty includes both the statistical and the systematic components.

The observed upper limits at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The observed upper limits at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The expected upper limits together with the 68 and 95% quantiles at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The expected upper limits together with the 68 and 95% quantiles at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The observed upper limits at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance, for widths equal to 0.6, 3, 5, and 10% of the resonance mass, relative to the product of production cross section and branching fraction for a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The observed upper limits at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance, for widths equal to 0.6, 3, 5, and 10% of the resonance mass, relative to the product of production cross section and branching fraction for a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The expected upper limits at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance, for widths equal to 0.6, 3, 5, and 10% of the resonance mass, relative to the product of production cross section and branching fraction for a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The expected upper limits at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance, for widths equal to 0.6, 3, 5, and 10% of the resonance mass, relative to the product of production cross section and branching fraction for a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

Limits in the ( $c_{d}$ , $c_{u}$ ) plane obtained by recasting the combined limit at 95% CL on the $Z'$ boson cross section from dielectron and dimuon channels. The closed contour representing the GSM model class is composed of thick line segments. Each point on a segment corresponds to a particular model, and the location of the point gives the mass limit on the relevant $Z'$ boson. As indicated in the bottom left legend, the segment line styles correspond to ranges of the particular mixing angle for each considered model. The bottom right legend indicates the constituents of each model class.

Limits in the ( $c_{d}$ , $c_{u}$ ) plane obtained by recasting the combined limit at 95% CL on the $Z'$ boson cross section from dielectron and dimuon channels. The closed contour representing the GSM model class is composed of thick line segments. Each point on a segment corresponds to a particular model, and the location of the point gives the mass limit on the relevant $Z'$ boson. As indicated in the bottom left legend, the segment line styles correspond to ranges of the particular mixing angle for each considered model. The bottom right legend indicates the constituents of each model class.

Limits in the ( $c_{d}$ , $c_{u}$ ) plane obtained by recasting the combined limit at 95% CL on the $Z'$ boson cross section from dielectron and dimuon channels. The closed contour representing the LR model class is composed of thick line segments. Each point on a segment corresponds to a particular model, and the location of the point gives the mass limit on the relevant $Z'$ boson. As indicated in the bottom left legend, the segment line styles correspond to ranges of the particular mixing angle for each considered model. The bottom right legend indicates the constituents of each model class.

Limits in the ( $c_{d}$ , $c_{u}$ ) plane obtained by recasting the combined limit at 95% CL on the $Z'$ boson cross section from dielectron and dimuon channels. The closed contour representing the LR model class is composed of thick line segments. Each point on a segment corresponds to a particular model, and the location of the point gives the mass limit on the relevant $Z'$ boson. As indicated in the bottom left legend, the segment line styles correspond to ranges of the particular mixing angle for each considered model. The bottom right legend indicates the constituents of each model class.

Limits in the ( $c_{d}$ , $c_{u}$ ) plane obtained by recasting the combined limit at 95% CL on the $Z'$ boson cross section from dielectron and dimuon channels. The closed contour representing the E6 model class is composed of thick line segments. Each point on a segment corresponds to a particular model, and the location of the point gives the mass limit on the relevant $Z'$ boson. As indicated in the bottom left legend, the segment line styles correspond to ranges of the particular mixing angle for each considered model. The bottom right legend indicates the constituents of each model class.

Limits in the ( $c_{d}$ , $c_{u}$ ) plane obtained by recasting the combined limit at 95% CL on the $Z'$ boson cross section from dielectron and dimuon channels. The closed contour representing the E6 model class is composed of thick line segments. Each point on a segment corresponds to a particular model, and the location of the point gives the mass limit on the relevant $Z'$ boson. As indicated in the bottom left legend, the segment line styles correspond to ranges of the particular mixing angle for each considered model. The bottom right legend indicates the constituents of each model class.

The observed local p-value for the dielectron channel as a function of the dilepton invariant mass.

The observed local p-value for the dielectron channel as a function of the dilepton invariant mass.

The observed local p-value for the dimuon channel as a function of the dilepton invariant mass.

The observed local p-value for the dimuon channel as a function of the dilepton invariant mass.

The observed local p-value for the combined channel as a function of the dilepton invariant mass.

The observed local p-value for the combined channel as a function of the dilepton invariant mass.

The observed upper limits at 95% CL on the product of production cross section and branching fraction for a spin-2 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The observed upper limits at 95% CL on the product of production cross section and branching fraction for a spin-2 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The expected upper limits together with the 68 and 95% quantiles at 95% CL on the product of production cross section and branching fraction for a spin-2 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The expected upper limits together with the 68 and 95% quantiles at 95% CL on the product of production cross section and branching fraction for a spin-2 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a vector mediator. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a vector mediator. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a vector mediator. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a vector mediator. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a axial vector. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a axial vector. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a axial vector. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a axial vector. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Exclusion limits at 95% CL on the ultraviolet cutoff for the dielectron channel, with $m_{\ell\ell}>1.8$ TeV ($m_{\ell\ell}>1.9$ TeV for 2016) in the GRW, Hewett, and HLZ conventions for the ADD model. Signal model cross sections are calculated up to LO, and an NNLO correction factor of 1.3 is applied.

Exclusion limits at 95% CL on the ultraviolet cutoff for the dielectron channel, with $m_{\ell\ell}>1.8$ TeV ($m_{\ell\ell}>1.9$ TeV for 2016) in the GRW, Hewett, and HLZ conventions for the ADD model. Signal model cross sections are calculated up to LO, and an NNLO correction factor of 1.3 is applied.

Exclusion limits at 95% CL on the ultraviolet cutoff for the dimuon channel, with $m_{\ell\ell}>1.8$ TeV ($m_{\ell\ell}>1.9$ TeV for 2016) in the GRW, Hewett, and HLZ conventions for the ADD model. Signal model cross sections are calculated up to LO, and an NNLO correction factor of 1.3 is applied.

Exclusion limits at 95% CL on the ultraviolet cutoff for the dimuon channel, with $m_{\ell\ell}>1.8$ TeV ($m_{\ell\ell}>1.9$ TeV for 2016) in the GRW, Hewett, and HLZ conventions for the ADD model. Signal model cross sections are calculated up to LO, and an NNLO correction factor of 1.3 is applied.

Exclusion limits at 95% CL on the ultraviolet cutoff for the combination of the dielectron and dimuon channel, with $m_{\ell\ell}>1.8$ TeV ($m_{\ell\ell}>1.9$ TeV for 2016) in the GRW, Hewett, and HLZ conventions for the ADD model. Signal model cross sections are calculated up to LO, and an NNLO correction factor of 1.3 is applied.

Exclusion limits at 95% CL on the ultraviolet cutoff for the combination of the dielectron and dimuon channel, with $m_{\ell\ell}>1.8$ TeV ($m_{\ell\ell}>1.9$ TeV for 2016) in the GRW, Hewett, and HLZ conventions for the ADD model. Signal model cross sections are calculated up to LO, and an NNLO correction factor of 1.3 is applied.

Dilepton lower exclusion limits at 95% CL on the CI scale ($\Lambda$) for the eight CI models considered, for the dielectron channel. The limits are obtained for $m_{\ell\ell}>400$ GeV.

Dilepton lower exclusion limits at 95% CL on the CI scale ($\Lambda$) for the eight CI models considered, for the dielectron channel. The limits are obtained for $m_{\ell\ell}>400$ GeV.

Dilepton lower exclusion limits at 95% CL on the CI scale ($\Lambda$) for the eight CI models considered, for the dimuon channel. The limits are obtained for $m_{\ell\ell}>400$ GeV.

Dilepton lower exclusion limits at 95% CL on the CI scale ($\Lambda$) for the eight CI models considered, for the dimuon channel. The limits are obtained for $m_{\ell\ell}>400$ GeV.

Dilepton lower exclusion limits at 95% CL on the CI scale ($\Lambda$) for the eight CI models considered, for the combination of the dielectron and dimuon channels. The limits are obtained for $m_{\ell\ell}>400$ GeV.

Dilepton lower exclusion limits at 95% CL on the CI scale ($\Lambda$) for the eight CI models considered, for the combination of the dielectron and dimuon channels. The limits are obtained for $m_{\ell\ell}>400$ GeV.

Ratio of the differential dilepton production cross section in the dimuon and dielectron channels $R_{\mu^{+}\mu^{-}/e^{+}e^{-}}$, as a function of $m_{\ell\ell}$ for events with central leptons. The ratio is obtained after correcting the reconstructed mass spectra to particle level.

Ratio of the differential dilepton production cross section in the dimuon and dielectron channels $R_{\mu^{+}\mu^{-}/e^{+}e^{-}}$, as a function of $m_{\ell\ell}$ for events with central leptons. The ratio is obtained after correcting the reconstructed mass spectra to particle level.

Ratio of the differential dilepton production cross section in the dimuon and dielectron channels $R_{\mu^{+}\mu^{-}/e^{+}e^{-}}$, as a function of $m_{\ell\ell}$ for events with forward leptons. The ratio is obtained after correcting the reconstructed mass spectra to particle level.

Ratio of the differential dilepton production cross section in the dimuon and dielectron channels $R_{\mu^{+}\mu^{-}/e^{+}e^{-}}$, as a function of $m_{\ell\ell}$ for events with forward leptons. The ratio is obtained after correcting the reconstructed mass spectra to particle level.

Invariant mass resolution for dielectron pairs as obtained from simulated DY samples as a function of generated mass.

Invariant mass resolution for dielectron pairs as obtained from simulated DY samples as a function of generated mass.

Invariant mass resolution for dimuon pairs as obtained from simulated DY samples as a function of generated mass.

Invariant mass resolution for dimuon pairs as obtained from simulated DY samples as a function of generated mass.

Observed data and total background estimate in all bins used in the limit calculation for the CI limits. The total event sample is split into the three years of data taking, the two lepton flavors, two categories in $\cos\theta^*$, and two categories in lepton pseudorapidity. Furthermore, each of these categories is split into 6 bins in dilepton invariant mass: [400,500,700,1100,1900,3500,10000] in GeV. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Observed data and total background estimate in all bins used in the limit calculation for the CI limits. The total event sample is split into the three years of data taking, the two lepton flavors, two categories in $\cos\theta^*$, and two categories in lepton pseudorapidity. Furthermore, each of these categories is split into 6 bins in dilepton invariant mass: [400,500,700,1100,1900,3500,10000] in GeV. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Observed data and total background estimate in all bins used in the limit calculation for the ADD limits. The total event sample is split into the three years of data taking, the two lepton flavors, two categories in $\cos\theta^*$, and two categories in lepton pseudorapidity. Furthermore, each of these categories is split into 5 bins in dilepton invariant mass: [1800,2200,2600,3000,3400,10000] ([1900,2200,2600,3000,3400,10000] for 2016) in GeV. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Observed data and total background estimate in all bins used in the limit calculation for the ADD limits. The total event sample is split into the three years of data taking, the two lepton flavors, two categories in $\cos\theta^*$, and two categories in lepton pseudorapidity. Furthermore, each of these categories is split into 5 bins in dilepton invariant mass: [1800,2200,2600,3000,3400,10000] ([1900,2200,2600,3000,3400,10000] for 2016) in GeV. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Bin-by-bin correlation for the limit calculation for the CI limits. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Bin-by-bin correlation for the limit calculation for the CI limits. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Bin-by-bin correlation for the limit calculation for the ADD limits. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Bin-by-bin correlation for the limit calculation for the ADD limits. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Measured diferential cross sections as a function of the transverse momentum of the lepton from the W decay.

Measured diferential cross sections ratio $R=\sigma(W^+ + \overline{c}) / \sigma(W^- + c)$ as a function of the absolute value of the pseudorapidity of the lepton from the W decay.

Measured diferential cross sections ratio $R=\sigma(W^+ + \overline{c}) / \sigma(W^- + c)$ as a function of the transverse momentum of the lepton from the W decay.

Relative uncertainties on the measured fractional differential $p_{\mathrm{T}}^{\gamma}$ cross section.

Correlation matrix for the measured absolute differential $p_{\mathrm{T}}^{\gamma}$ cross section.

Correlation matrix for the measured fractional differential $p_{\mathrm{T}}^{\gamma}$ cross section.

Response matrix from the fiducial to the reconstructed bins of the differential $p_{\mathrm{T}}^{\gamma}$ cross section measurement.

Measured absolute differential $\eta^{\gamma}$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$.

Measured fractional differential $\eta^{\gamma}$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$.

Relative uncertainties on the measured absolute differential $\eta^{\gamma}$ cross section.

Relative uncertainties on the measured fractional differential $\eta^{\gamma}$ cross section.

Correlation matrix for the measured absolute differential $\eta^{\gamma}$ cross section.

Correlation matrix for the measured fractional differential $\eta^{\gamma}$ cross section.

Response matrix from the fiducial to the reconstructed bins of the differential $\eta^{\gamma}$ cross section measurement.

Measured absolute differential $\Delta R(\ell,\gamma)$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$.

Measured fractional differential $\Delta R(\ell,\gamma)$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$.

Relative uncertainties on the measured absolute differential $\Delta R(\ell,\gamma)$ cross section.

Relative uncertainties on the measured fractional differential $\Delta R(\ell,\gamma)$ cross section.

Correlation matrix for the measured absolute differential $\Delta R(\ell,\gamma)$ cross section.

Correlation matrix for the measured fractional differential $\Delta R(\ell,\gamma)$ cross section.

Response matrix from the fiducial to the reconstructed bins of the differential $\Delta R(\ell,\gamma)$ cross section measurement.

Measured absolute differential $\Delta\eta(\ell,\gamma)$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$.

Measured fractional differential $\Delta\eta(\ell,\gamma)$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$.

Relative uncertainties on the measured absolute differential $\Delta \eta(\ell,\gamma)$ cross section.

Relative uncertainties on the measured fractional differential $\Delta \eta(\ell,\gamma)$ cross section.

Correlation matrix for the measured absolute differential $\Delta \eta(\ell,\gamma)$ cross section.

Correlation matrix for the measured fractional differential $\Delta \eta(\ell,\gamma)$ cross section.

Response matrix from the fiducial to the reconstructed bins of the differential $\Delta \eta(\ell,\gamma)$ cross section measurement.

Measured absolute differential $m_{\mathrm{T}}^{\mathrm{cluster}}$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$.

Measured fractional differential $m_{\mathrm{T}}^{\mathrm{cluster}}$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$.

Relative uncertainties on the measured absolute differential $m_{\mathrm{T}}^{\mathrm{cluster}}$ cross section.

Relative uncertainties on the measured fractional differential $m_{\mathrm{T}}^{\mathrm{cluster}}$ cross section.

Correlation matrix for the measured absolute differential $m_{\mathrm{T}}^{\mathrm{cluster}}$ cross section.

Correlation matrix for the measured fractional differential $m_{\mathrm{T}}^{\mathrm{cluster}}$ cross section.

Response matrix from the fiducial to the reconstructed bins of the differential $m_{\mathrm{T}}^{\mathrm{cluster}}$ cross section measurement.

Measured absolute differential $N_{\mathrm{jets}}$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$.

Correlation matrix for the measured absolute differential $N_{\mathrm{jets}}$ cross section. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$.

Response matrix from the fiducial to the reconstructed bins of the differential $N_{\mathrm{jets}}$ cross section measurement.

Relative uncertainties on the measured absolute differential $N_{\mathrm{jets}}$ cross section.

Measured absolute differential $\Delta\eta(\ell,\gamma)$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$. Requirements of $m_{\mathrm{T}}^{\mathrm{cluster}}>150\,\mathrm{GeV}$ and a veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ are applied in addition to the baseline selection.

Measured fractional differential $\Delta\eta(\ell,\gamma)$ cross section, compared to the MG5_aMC+PY8, GENEVA, MATRIX and MCFM predictions. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 30\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 30\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$. Requirements of $m_{\mathrm{T}}^{\mathrm{cluster}}>150\,\mathrm{GeV}$ and a veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ are applied in addition to the baseline selection.

Relative uncertainties on the measured absolute differential $\Delta \eta(\ell,\gamma)$ cross section. Requirements of $m_{\mathrm{T}}^{\mathrm{cluster}}>150\,\mathrm{GeV}$ and a veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ are applied in addition to the baseline selection.

Relative uncertainties on the measured fractional differential $\Delta \eta(\ell,\gamma)$ cross section. Requirements of $m_{\mathrm{T}}^{\mathrm{cluster}}>150\,\mathrm{GeV}$ and a veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ are applied in addition to the baseline selection.

Correlation matrix for the measured absolute differential $\Delta \eta(\ell,\gamma)$ cross section. Requirements of $m_{\mathrm{T}}^{\mathrm{cluster}}>150\,\mathrm{GeV}$ and a veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ are applied in addition to the baseline selection.

Correlation matrix for the measured fractional differential $\Delta \eta(\ell,\gamma)$ cross section. Requirements of $m_{\mathrm{T}}^{\mathrm{cluster}}>150\,\mathrm{GeV}$ and a veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ are applied in addition to the baseline selection.

Response matrix from the fiducial to the reconstructed bins of the differential $\Delta \eta(\ell,\gamma)$ cross section measurement. Requirements of $m_{\mathrm{T}}^{\mathrm{cluster}}>150\,\mathrm{GeV}$ and a veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ are applied in addition to the baseline selection.

Fiducial cross section scaling terms as a function of $C_{3W}$ in all $p_{\mathrm{T}}^{\gamma} \times |\phi_{f}|$ bins. Values are given relative to the SM prediction.

Scans of the profile likelihood test statistic $q$ as a function of $C_{3W}$, given with and without the pure BSM term.

Scans of the profile likelihood test statistic $q$ as a function of $C_{3W}$, given with and without the pure BSM term.

Best-fit values of $C_{3W}$ and corresponding 95% CL confidence intervals as a function of the maximum $p_{\mathrm{T}}^{\gamma}$ bin included in the fit, with and without the pure BSM term.

Best-fit values of $C_{3W}$ and corresponding 95% CL confidence intervals as a function of the maximum $p_{\mathrm{T}}^{\gamma}$ bin included in the fit, with and without the binning in $|\phi_{f}|$.

Response matrix from the fiducial to the reconstructed bins of the differential $p_{\mathrm{T}}^{\gamma} \times |\phi_{f}|$ cross section measurement.

Measured double-differential $p_{\mathrm{T}}^{\gamma} \times |\phi_{f}|$ cross section, compared to the MG5_aMC+PY8 NLO prediction. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 80\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 150\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$. A veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ is also applied for this result.

Measured double-differential $p_{\mathrm{T}}^{\gamma} \times |\phi_{f}|$ cross section, compared to the MG5_aMC+PY8 NLO prediction. This table gives the entries for the $(0,\pi/6)$ slice. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 80\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 150\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$. A veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ is also applied for this result.

Measured double-differential $p_{\mathrm{T}}^{\gamma} \times |\phi_{f}|$ cross section, compared to the MG5_aMC+PY8 NLO prediction. This table gives the entries for the $(\pi/6,\pi/3)$ slice. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 80\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 150\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$. A veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ is also applied for this result.

Measured double-differential $p_{\mathrm{T}}^{\gamma} \times |\phi_{f}|$ cross section, compared to the MG5_aMC+PY8 NLO prediction. This table gives the entries for the $(\pi/3,\pi/2)$ slice. The differential cross sections $\sigma_{j}(\mathrm{pp}\rightarrow\mathrm{W}^{\pm}\gamma\rightarrow\ell^{\pm}\nu\gamma)$, where $\ell$ denotes all three lepton flavors, are measured in the following fiducial region: $p_{\mathrm{T}}^{\ell} > 80\,\mathrm{GeV}$, $|\eta^{\ell}| < 2.5$, $p_{\mathrm{T}}^{\gamma} > 150\,\mathrm{GeV}$, $|\eta^{\gamma}| < 2.5$, $p_{\mathrm{T}}^{\mathrm{miss}} > 40\,\mathrm{GeV}$, and $\Delta R(\ell, \gamma) > 0.7$. The leptons are dressed by adding the four-momenta of any photons with $\Delta R(\ell, \gamma) < 0.1$ to the four-momentum of the lepton. A smooth-cone photon isolation is also applied, with parameters $\delta_{0}=0.4$, $\epsilon=1.0$, and $n=1$. A veto on the presence of any jet with $p_{\mathrm{T}} > 30\,\mathrm{GeV}$ and $|\eta| < 2.5$ is also applied for this result.

Correlation matrix for the measured absolute differential $p_{\mathrm{T}}^{\gamma} \times |\phi_{f}|$ cross section.

SR1 diboson invariant mass distribution in the resolved tagged category after fitting the signal and sideband regions using a signal (ALP linear ZZ) plus background model. The last bin includes events with diboson invariant masses up to 3000 GeV. The signal is normalized to the 95% CL cross section limit at $f_a$ = 3 TeV (the scale factor used in the original figure for better visibility is not applied here).

SR2 diboson invariant mass distribution in the boosted untagged category after fitting the signal and sideband regions using a signal (ALP chiral ZH) plus background model. The last bin includes events with diboson invariant masses up to 3000 GeV. The signal is normalized to the 95% CL cross section limit at $f_a$ = 3 TeV (the scale factor used in the original figure for better visibility is not applied here).

SR2 diboson invariant mass distribution in the boosted tagged category after fitting the signal and sideband regions using a signal (ALP chiral ZH) plus background model. The last bin includes events with diboson invariant masses up to 3000 GeV. The signal is normalized to the 95% CL cross section limit at $f_a$ = 3 TeV.

SR2 diboson invariant mass distribution in the resolved untagged category after fitting the signal and sideband regions using a signal (ALP chiral ZH) plus background model. The last bin includes events with diboson invariant masses up to 3000 GeV. The signal is normalized to the 95% CL cross section limit at $f_a$ = 3 TeV (the scale factor used in the original figure for better visibility is not applied here).

SR2 diboson invariant mass distribution in the resolved tagged category after fitting the signal and sideband regions using a signal (ALP chiral ZH) plus background model. The last bin includes events with diboson invariant masses up to 3000 GeV. The signal is normalized to the 95% CL cross section limit at $f_a$ = 3 TeV (the scale factor used in the original figure for better visibility is not applied here).

Observed and expected 95% CL upper limit on $\sigma \mathcal{B}$(G -> ZZ) as a function of the resonance mass, taking into account all statistical and systematic uncertainties. The electron and muon channels and the various categories used in the analysis are combined. The inner green band and the outer yellow band represent the 68 and 95% coverage of the expected limits in the background-only hypothesis.

Observed and expected 95% CL upper limit on $\sigma \mathcal{B}$(W' -> ZW) as a function of the resonance mass, taking into account all statistical and systematic uncertainties. The electron and muon channels and the various categories used in the analysis are combined. The inner green band and the outer yellow band represent the 68 and 95% coverage of the expected limits in the background-only hypothesis.

Observed and expected 95% CL upper limit on the product of the ALP coupling to gluons and the coupling to Z bosons as a function of the mass scale $f_a$ for ALP masses smaller than 100 GeV.

Observed and expected 95% CL upper limit on the product of the ALP coupling to gluons and the chiral $a_\widetilde{2D}$ coupling as a function of the mass scale $f_a$ for ALP masses smaller than 100 GeV.