Final state radiation correction used in the $\phi_{\eta}^{*}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.

Final state radiation correction used in the $y^{Z}-p_{T}^{Z}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.

Final state radiation correction used in the $y^{Z}-\phi_{\eta}^{*}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.

Correlation matrix of statistical uncertainty for one-dimensional $y^Z$ measurement.

Correlation matrix of statistical uncertainty for one-dimensional $p_{T}^{Z}$ measurement.

Correlation matrix of statistical uncertainty for one-dimensional $\phi_{\eta}^{*}$ measurement.

Correlation matrix of statistical uncertainty for two-dimensional $y^Z-p_{T}^{Z}$ measurement.

Correlation matrix of statistical uncertainty for two-dimensional $y^Z-\phi_{\eta}^{*}$ measurement.

Correlation matrix of efficiency uncertainty for one-dimensional $y^Z$ measurement.

Correlation matrix of efficiency uncertainty for one-dimensional $p_{T}^{Z}$ measurement.

Correlation matrix of efficiency uncertainty for one-dimensional $\phi_{\eta}^{*}$ measurement.

Correlation matrix of efficiency uncertainty for two-dimensional $y^Z-p_{T}^{Z}$ measurement.

Correlation matrix of efficiency uncertainty for two-dimensional $y^Z-\phi_{\eta}^{*}$ measurement.

Measured total $Z$-boson cross-section for different datasets. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Measured single differential cross-sections in interval regions of $y^{Z}$. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Measured single differential cross-sections in interval regions of $p_{T}^{Z}$. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Measured single differential cross-sections in interval regions of $\phi_{\eta}^{*}$. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Measured double differential cross-sections in interval regions of $y^{Z}$ and $p_{T}^{Z}$. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Measured double differential cross-sections in interval regions of $y^{Z}$ and $\phi_{\eta}^{*}$. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Systematic uncertainties in the single differential cross-sections in interval regions of $y^{Z}$, presented in percentage. The contributions from efficiency (Eff), background (BKG), final state radiation (FSR), closure test (Closure), and alignment and calibration (Alignment) are shown.

Systematic uncertainties in the single differential cross-sections in interval regions of $p_{T}^{Z}$, presented in percentage. The contributions from efficiency (Eff), background (BKG), final state radiation (FSR), closure test (Closure), and alignment and calibration (Alignment) are shown.

Systematic uncertainties in the single differential cross-sections in interval regions of $\phi_{\eta}^{*}$, presented in percentage. The contributions from efficiency (Eff), background (BKG), final state radiation (FSR), closure test (Closure), and alignment and calibration (Alignment) are shown.

Systematic uncertainties in the double differential cross-sections in interval regions of $y^{Z}$ and $p_{T}^{Z}$, presented in percentage. The contributions from efficiency (Eff), background (BKG), final state radiation (FSR), closure test (Closure), and alignment and calibration (Alignment) are shown.

Systematic uncertainties in the double differential cross-sections in interval regions of $y^{Z}$ and $\phi_{\eta}^{*}$, presented in percentage. The contributions from efficiency (Eff), background (BKG), final state radiation (FSR), closure test (Closure), and alignment and calibration (Alignment) are shown.

Simultaneous EW and QCD WV signal strength fit.

The $m_{lJ}$ distribution in the boosted DY control region, muon channel.

The $m_{lljj}$ distribution in the resolved flavor control region.

The $m_{lJ}$ distribution in the boosted flavor control region, with electron jet.

The $m_{lJ}$ distribution in the boosted flavor control region, with muon jet

The $m_{lljj}$ distribution in the resolved signal region, electron channel.

The $m_{lljj}$ distribution in the resolved signal region, muon channel.

The $m_{lJ}$ distribution in the boosted signal region, electron channel.

The $m_{lJ}$ distribution in the boosted signal region, muon channel.

The expected and observed $95\%$ CL upper limits on the production cross section times the branching fraction $\sigma (\mathrm{p}\mathrm{p} \rightarrow W_{R}) \mathcal{B}(W_{R} \rightarrow \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}'})$ for $m_{N} = m_{W_{R}}/2$ GeV in the electron channel. The red solid lines represent the values expected from the theory.

The expected and observed $95\%$ CL upper limits on the production cross section times the branching fraction $\sigma (\mathrm{p}\mathrm{p} \rightarrow W_{R}) \mathcal{B}(W_{R} \rightarrow \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}'})$ for $m_{N} = m_{W_{R}}/2$ GeV in the muon channel. The red solid lines represent the values expected from the theory.

The expected and observed $95\%$ CL upper limits on the production cross section times the branching fraction $\sigma (\mathrm{p}\mathrm{p} \rightarrow W_{R}) \mathcal{B}(W_{R} \rightarrow \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}'})$ for $m_{N} = 200$ GeV in the electron channel. The red solid lines represent the values expected from the theory.

The expected and observed $95\%$ CL upper limits on the production cross section times the branching fraction $\sigma (\mathrm{p}\mathrm{p} \rightarrow W_{R}) \mathcal{B}(W_{R} \rightarrow \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}'})$ for $m_{N} = 200$ GeV in the muon channel. The red solid lines represent the values expected from the theory.

The observed $95\%$ CL upper limits on the production cross section times the branching fraction $\sigma (\mathrm{p}\mathrm{p} \rightarrow W_{R}) \mathcal{B}(W_{R} \rightarrow \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}'})$ divided by the theory cross sections in the electron channel. The observed exclusions are shown for the resolved (solid green), boosted (solid blue), and combined (solid black) channels, along with the expected exclusion for the combined result (dotted black). The dash-dotted lines represent the one standard deviation of the expected exclusion. The observed exclusions from the previous search performed by the CMS Collaboration (arXiv:1803.11116) is also shown in magenta.

The observed $95\%$ CL upper limits on the production cross section times the branching fraction $\sigma (\mathrm{p}\mathrm{p} \rightarrow W_{R}) \mathcal{B}(W_{R} \rightarrow \mathrm{e}\mathrm{e}\mathrm{q}\overline{\mathrm{q}'})$ divided by the theory cross sections in the muon channel. The observed exclusions are shown for the resolved (solid green), boosted (solid blue), and combined (solid black) channels, along with the expected exclusion for the combined result (dotted black). The dash-dotted lines represent the one standard deviation of the expected exclusion. The observed exclusions from the previous search performed by the CMS Collaboration (arXiv:1803.11116) is also shown in magenta.

Relative uncertainties in the total yields of the signal and background predictions.

Covariance matrix for all bins used in the background-only fit of the electron channel of this analysis. There are 243 bins in total, 81 for every data-taking year. For every year, each region has nine bins and the bins are grouped by rergion in the following order: ee boosted DY CR, #mu-jet flavor CR, ee resolved DY CR, resolved flavor CR, ee boosted SR, ee resolved SR, #mu#mu boosted DY CR, e-jet flavor CR, and #mu#mu resolved DY CR.

Covariance matrix for all bins used in the background-only fit of the muon channel of this analysis. There are 243 bins in total, 81 for every data-taking year. For every year, each region has nine bins and the bins are grouped by rergion in the following order: ee boosted DY CR, #mu-jet flavor CR, ee resolved DY CR, #mu#mu boosted DY CR, e-jet flavor CR, $#mu#mu$ resolved DY CR, resolved flavor CR, #mu#mu boosted SR, and the #mu#mu resolved SR.

Predicted signal yields for the 2016 data-taking period, corresponding to $35.9\,\text{fb}^{-1}$, after the application of each search requirement for the $m_{W_{R}} = 0.3$, 0.4, and 0.5 TeV and $m_{N} = 0.2$ TeV signal hypotheses for the boosted , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2016 data-taking period, corresponding to $35.9\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (3.0,1.4)$ TeV signal hypothesis for the resolved , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2016 data-taking period, corresponding to $35.9\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (4.0,2.0)$ TeV signal hypothesis for the resolved , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2016 data-taking period, corresponding to $35.9\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (5.0,3.0)$ TeV signal hypothesis for the resolved , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2016 data-taking period, corresponding to $35.9\,\text{fb}^{-1}$, after the application of each search requirement for the $m_{W_{R}} = 0.3$, 0.4, and 0.5 TeV and $m_{N} = 0.2$ TeV signal hypotheses for the boosted , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2016 data-taking period, corresponding to $35.9\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (3.0,1.4)$ TeV signal hypothesis for the resolved , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2016 data-taking period, corresponding to $35.9\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (4.0,2.0)$ TeV signal hypothesis for the resolved , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2016 data-taking period, corresponding to $35.9\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (5.0,3.0)$ TeV signal hypothesis for the resolved , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2017 data-taking period, corresponding to $41.5\,\text{fb}^{-1}$, after the application of each search requirement for the $m_{W_{R}} = 0.3$, 0.4, and 0.5 TeV and $m_{N} = 0.2$ TeV signal hypotheses for the boosted , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2017 data-taking period, corresponding to $41.5\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (3.0,1.4)$ TeV signal hypothesis for the resolved , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2017 data-taking period, corresponding to $41.5\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (4.0,2.0)$ TeV signal hypothesis for the resolved , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2017 data-taking period, corresponding to $41.5\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (5.0,3.0)$ TeV signal hypothesis for the resolved , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2017 data-taking period, corresponding to $41.5\,\text{fb}^{-1}$, after the application of each search requirement for the $m_{W_{R}} = 0.3$, 0.4, and 0.5 TeV and $m_{N} = 0.2$ TeV signal hypotheses for the boosted , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2017 data-taking period, corresponding to $41.5\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (3.0,1.4)$ TeV signal hypothesis for the resolved , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2017 data-taking period, corresponding to $41.5\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (4.0,2.0)$ TeV signal hypothesis for the resolved , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2017 data-taking period, corresponding to $41.5\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (5.0,3.0)$ TeV signal hypothesis for the resolved , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2018 data-taking period, corresponding to $59.7\,\text{fb}^{-1}$, after the application of each search requirement for the $m_{W_{R}} = 0.3$, 0.4, and 0.5 TeV and $m_{N} = 0.2$ TeV signal hypotheses for the boosted , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2018 data-taking period, corresponding to $59.7\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (3.0,1.4)$ TeV signal hypothesis for the resolved , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2018 data-taking period, corresponding to $59.7\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (4.0,2.0)$ TeV signal hypothesis for the resolved , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2018 data-taking period, corresponding to $59.7\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (5.0,3.0)$ TeV signal hypothesis for the resolved , dielectron channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2018 data-taking period, corresponding to $59.7\,\text{fb}^{-1}$, after the application of each search requirement for the $m_{W_{R}} = 0.3$, 0.4, and 0.5 TeV and $m_{N} = 0.2$ TeV signal hypotheses for the boosted , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2018 data-taking period, corresponding to $59.7\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (3.0,1.4)$ TeV signal hypothesis for the resolved , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2018 data-taking period, corresponding to $59.7\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (4.0,2.0)$ TeV signal hypothesis for the resolved , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Predicted signal yields for the 2018 data-taking period, corresponding to $59.7\,\text{fb}^{-1}$, after the application of each search requirement for the $(m_{W_{R}},m_{N}) = (5.0,3.0)$ TeV signal hypothesis for the resolved , dimuon channel.The requirements listed are cumulative such that only the events and objects passing a given requirement are considered in subsequent requirements.

Cross sections calculated to next-to-leading (NLO) accuracy

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.

The inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ measured in $1.5 < |y| < 2.0$ for jets clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $|y| < 0.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $|y| < 0.5$and $0.5 < |y| < 1.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $|y| < 0.5$and $1.0 < |y| < 1.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $|y| < 0.5$and $1.5 < |y| < 2.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $0.5 < |y| < 1.0$and $|y| < 0.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $0.5 < |y| < 1.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $0.5 < |y| < 1.0$and $1.0 < |y| < 1.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $0.5 < |y| < 1.0$and $1.5 < |y| < 2.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.0 < |y| < 1.5$and $|y| < 0.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.0 < |y| < 1.5$and $0.5 < |y| < 1.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.0 < |y| < 1.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.0 < |y| < 1.5$and $1.5 < |y| < 2.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.5 < |y| < 2.0$and $|y| < 0.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.5 < |y| < 2.0$and $0.5 < |y| < 1.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.5 < |y| < 2.0$and $1.0 < |y| < 1.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.5 < |y| < 2.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.4$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ measured in $|y| < 0.5$ for jets clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$.

The inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ measured in $0.5 < |y| < 1.0$ for jets clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$.

The inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ measured in $1.0 < |y| < 1.5$ for jets clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$.

The inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ measured in $1.5 < |y| < 2.0$ for jets clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $|y| < 0.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $|y| < 0.5$and $0.5 < |y| < 1.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $|y| < 0.5$and $1.0 < |y| < 1.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $|y| < 0.5$and $1.5 < |y| < 2.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $0.5 < |y| < 1.0$and $|y| < 0.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $0.5 < |y| < 1.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $0.5 < |y| < 1.0$and $1.0 < |y| < 1.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $0.5 < |y| < 1.0$and $1.5 < |y| < 2.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.0 < |y| < 1.5$and $|y| < 0.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.0 < |y| < 1.5$and $0.5 < |y| < 1.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.0 < |y| < 1.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.0 < |y| < 1.5$and $1.5 < |y| < 2.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.5 < |y| < 2.0$and $|y| < 0.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.5 < |y| < 2.0$and $0.5 < |y| < 1.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.5 < |y| < 2.0$and $1.0 < |y| < 1.5$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The correlation matrix at the particle level of inclusive jet production cross section as a function of the jet transverse momentum~$p_\mathrm{T}$ for jets in $1.5 < |y| < 2.0$ clustered using the anti-$k_\mathrm{t}$ algorithm with $R=0.7$. It contains contributions from the data and from the \textsc{PYTHIA}~8 sample used to perform the unfolding.

The corrections were calculated by Dittmaier, Huss, Speckner.

The corrections were calculated by Dittmaier, Huss, Speckner.

The corrections were calculated by Dittmaier, Huss, Speckner.

The corrections were calculated by Dittmaier, Huss, Speckner.

The corrections were calculated by Dittmaier, Huss, Speckner.

The corrections were calculated by Dittmaier, Huss, Speckner.

The corrections were calculated by Dittmaier, Huss, Speckner.

The corrections were calculated by Dittmaier, Huss, Speckner.

The values correspond to the average of the corrections obtained with \textsc{{PYTHIA}}~8 and with \textsc{{HERWIG}}++.

The values correspond to the average of the corrections obtained with \textsc{{PYTHIA}}~8 and with \textsc{{HERWIG}}++.

The values correspond to the average of the corrections obtained with \textsc{{PYTHIA}}~8 and with \textsc{{HERWIG}}++.

The values correspond to the average of the corrections obtained with \textsc{{PYTHIA}}~8 and with \textsc{{HERWIG}}++.

The values correspond to the average of the corrections obtained with \textsc{{PYTHIA}}~8 and with \textsc{{HERWIG}}++.

The values correspond to the average of the corrections obtained with \textsc{{PYTHIA}}~8 and with \textsc{{HERWIG}}++.

The values correspond to the average of the corrections obtained with \textsc{{PYTHIA}}~8 and with \textsc{{HERWIG}}++.

The values correspond to the average of the corrections obtained with \textsc{{PYTHIA}}~8 and with \textsc{{HERWIG}}++.

The efficiency for simulated VBF events to pass each analysis cut.

The efficiency for simulated VH events to pass each analysis cut.

The efficiency for simulated ttH events to pass each analysis cut.

The fractional contribution of each production mode to a given analysis region around the Higgs boson peak, defined as 105 < mJ < 140 GeV. The fraction is given with respect to the total signal yield in the analysis region in question.

Signal acceptance times efficiency within the fiducial volume used in the fiducial region.

Signal acceptance times efficiency for the STXS volumes in the differential measurement. Along with the pTH requirements shown, |yH | < 2 is required. For events with pTH < 300 GeV, the acceptance times efficiency is less than 0.1 × 10−2.

Event yields and associated uncertainties after the global likelihood fit in the pT(H) > 450 GeV fiducial region. The total background yield can differ from the sum of the individual components due to rounding.

Event yields and associated uncertainties after the global likelihood fit of the differential regions. The total background yield can differ from the sum of the individual components due to rounding. The five STXS volumes are labeled pT0–pT4 corresponding to pTH < 300 GeV, 300 – 450 GeV, 450 – 650 GeV, 650 – 1000 GeV, and > 1000 GeV, respectively. The pT0 event yield is constrained to its SM value within the theoretical and experimental uncertainties and free parameters act independently on the remaining four volumes.

The observed exclusion contours as a function of (m(med), m($\chi$)), with Vector mediator)

The expected exclusion contours as a function of (m(a), tan($\beta$)), with sin($\theta$) = 0.35)

The observed exclusion contours as a function of (m(a), tan($\beta$)), with sin($\theta$) = 0.35)

The expected exclusion contours as a function of (m(a), tan($\beta$)), with sin($\theta$) = 0.7)

The observed exclusion contours as a function of (m(a), tan($\beta$)), with sin($\theta$) = 0.7)

The expected exclusion contours as a function of (m(H), tan($\beta$)), with sin($\theta$) = 0.35)

The observed exclusion contours as a function of (m(H), tan($\beta$)), with sin($\theta$) = 0.35)

The expected exclusion contours as a function of (m(H), tan($\beta$)), with sin($\theta$) = 0.7)

The observed exclusion contours as a function of (m(H), tan($\beta$)), with sin($\theta$) = 0.7)

The expected exclusion contours as a function of (m(a), m(H)), with sin($\theta$) = 0.35)

The observed exclusion contours as a function of (m(a), m(H)), with sin($\theta$) = 0.35)

The expected exclusion contours as a function of (m(a), m(H)), with sin($\theta$) = 0.7)

The observed exclusion contours as a function of (m(a), m(H)), with sin($\theta$) = 0.7)

Expected lower limit on signal strength at 95% CL as a function of sin($\theta$), with m(a) = 200 GeV, m(H) = 600 GeV.

Observed lower limit on signal strength at 95% CL as a function of sin($\theta$), with m(a) = 200 GeV, m(H) = 600 GeV.

Expected lower limit on signal strength at 95% CL as a function of sin($\theta$), with m(a) = 350 GeV, m(H) = 1000 GeV.

Observed lower limit on signal strength at 95% CL as a function of sin($\theta$), with m(a) = 350 GeV, m(H) = 1000 GeV.

Observed lower limit on WIMP-nucleon cross section at 90% CL as a function of m(WIMP), assuming Higgs-portal scenario with Scalar WIMP.

Observed lower limit on WIMP-nucleon cross section at 90% CL as a function of m(WIMP), assuming Higgs-portal scenario with Majorana WIMP.

Observed lower limit on the spin-dependent WIMP–proton scattering cross-section.

Observed lower limit on the spin-independent WIMP–nucleon scattering cross-section.

Cutflow of unweighted and weighted events of $ZH$ signals in the electron channel.

Cutflow of unweighted and weighted events of $ZH$ signals in the muon channel.

Cutflow of unweighted and weighted events of DM signals (simplified DM axial-vector with m(med) = 900 GeV and m($\chi$) = 40 GeV, 2HDM+$a$ signal with m(A) = 600 GeV, m(a) = 400 GeV, tan($\beta$) = 1.0 and m($\chi$) = 10 GeV) in the electron channel.

Cutflow of unweighted and weighted events of DM signals (simplified DM axial-vector with m(med) = 900 GeV and m($\chi$) = 40 GeV, 2HDM+$a$ signal with m(A) = 600 GeV, m(a) = 400 GeV, tan($\beta$) = 1.0 and m($\chi$) = 10 GeV) in the muon channel.