Differential cross sections normalized to the fiducial cross section as a function of the $p_T$ of the second-highest-$p_T$ jet

Differential cross sections normalized to the fiducial cross section as a function of the $|\eta|$ of the highest-$p_T$ jet

Differential cross sections normalized to the fiducial cross section as a function of the $|\eta|$ of the second-highest-$p_T$ jet

Differential cross sections normalized to the fiducial cross section as a function of the pseudorapidity difference between the two highest-$p_T$ jets in the event

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the two highest-$p_T$ jets in the event

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 0 jet, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 1 jet, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 2 jets, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with at least 3 jets, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 0 jet, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 1 jet, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 2 jets, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with at least 3 jets, in the full $m_{4l}$ range

Inclusive cross section predictions up to QCD NNLO accuracy using the NNPDF3.1 PDF set

Measured production cross sections ratio $\sigma(W^+ + \overline{c})$ / $\sigma(W^- + c)$

Predictions for the cross sections ratio $\sigma(W^+ + \overline{c})$ / $\sigma(W^- + c)$ at QCD NLO accuracy from MCFM using different PDF sets

Predictions for the cross sections ratio $\sigma(W^+ + \overline{c})$ / $\sigma(W^- + c)$ up to QCD NNLO accuracy using the NNPDF3.1 PDF set

Measured diferential cross sections $\sigma(W^- + c) + \sigma(W^+ + \overline{c})$ as a function of the absolute value of the pseudorapidity of the lepton from the W decay, unfolded to the particle level.

Measured diferential cross sections as a function of the transverse momentum of the lepton from the W decay, unfolded to the particle level.

Measured diferential cross sections $\sigma(W^- + c) + \sigma(W^+ + \overline{c})$ as a function of the absolute value of the pseudorapidity of the lepton from the W decay, unfolded to the parton level.

Measured diferential cross sections as a function of the transverse momentum of the lepton from the W decay, unfolded to the parton level.

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.

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.

Comparison of the pT spectrum for the fourth-leading from data to different PYTHIA8 (P8),HERWIG++ (H++),and HERWIG7 (H7) tunes.

Comparison of the eta spectrum for the leading jet from data to different PYTHIA8 (P8),HERWIG++ (H++),and HERWIG7 (H7) tunes.

Comparison of the eta spectrum for the sub-leading from data to different PYTHIA8 (P8),HERWIG++ (H++),and HERWIG7 (H7) tunes.

Comparison of the eta spectrum for the third-leading from data to different PYTHIA8 (P8),HERWIG++ (H++),and HERWIG7 (H7) tunes.

Comparison of the eta spectrum for the fourth-leading from data to different PYTHIA8 (P8),HERWIG++ (H++),and HERWIG7 (H7) tunes.

Comparison of the DeltaPhiSoft distribution from data to different PYTHIA8 (P8),HERWIG++ (H++), and HERWIG7 (H7) tunes. All distributions have been normalized to regions where a reduced DPS contribution is expected.

Comparison of the DeltaPhiMin distribution from data to different PYTHIA8 (P8),HERWIG++ (H++), and HERWIG7 (H7) tunes. All distributions have been normalized to regions where a reduced DPS contribution is expected.

Comparison of the DeltaY distribution from data to different PYTHIA8 (P8),HERWIG++ (H++), and HERWIG7 (H7) tunes. All distributions have been normalized to regions where a reduced DPS contribution is expected.

Comparison of the phi_ij distribution from data to different PYTHIA8 (P8),HERWIG++ (H++), and HERWIG7 (H7) tunes. All distributions have been normalized to regions where a reduced DPS contribution is expected.

Comparison of the Deltap_{T,Soft} distribution from data to different PYTHIA 8 (P8), HERWIG ++ (H++), and HERWIG 7 (H7) tunes. All distributions have been normalized to regions where a reduced DPS contribution is expected.

Comparison of the DeltaS distribution from data to different PYTHIA 8 (P8), HERWIG ++ (H++), and HERWIG 7 (H7) tunes. All distributions have been normalized to regions where a reduced DPS contribution is expected.

Comparison of the pT spectrum for the leading jet from data with different KATIE(KT), MADGRAPH5aMC@NLO(MG5), and POWHEG(PW) models

Comparison of the pT spectrum for the sub-leading from data with different KATIE(KT), MADGRAPH5aMC@NLO(MG5), and POWHEG(PW) models

Comparison of the pT spectrum for the third-leading from data to different PYTHIA8 (P8),HERWIG++ (H++),and HERWIG7 (H7) tunes.

Comparison of the pT spectrum for the fourth-leading from data with different KATIE(KT), MADGRAPH5aMC@NLO(MG5), and POWHEG(PW) models

Comparison of the eta spectrum for the leading jet from data with different KATIE(KT), MADGRAPH5aMC@NLO(MG5), and POWHEG(PW) models

Comparison of the eta spectrum for the sub-leading from data with different KATIE(KT), MADGRAPH5aMC@NLO(MG5), and POWHEG(PW) models

Comparison of the eta spectrum for the third-leading from data with different KATIE(KT), MADGRAPH5aMC@NLO(MG5), and POWHEG(PW) models

Comparison of the eta spectrum for the fourth-leading from data with different KATIE(KT), MADGRAPH5aMC@NLO(MG5), and POWHEG(PW) models

Comparison of the DeltaPhiSoft distribution from data to differentKATIE(KT), MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations. All distributions have been normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the DeltaPhiMin, distribution from data to differentKATIE(KT), MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations. All distributions have been normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the DeltaY and distribution from data to differentKATIE(KT), MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations. All distributions have been normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the phi_ij distribution from data to differentKATIE(KT), MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations. All distributions have been normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the Deltap_{T,Soft} distribution from data to different KATIE(KT),MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations. All distributions havebeen normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the DeltaS distribution from data to different KATIE(KT),MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations. All distributions havebeen normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the pT spectrum for the leading jet from data with different SPS+DPS KATIE( KT) and PYTHIA8 (P8) models.

Comparison of the pT spectrum for the sub-leading from data with different SPS+DPS KATIE( KT) and PYTHIA8 (P8) models.

Comparison of the pT spectrum for the third-leading from data with different SPS+DPS KATIE( KT) and PYTHIA8 (P8) models.

Comparison of the pT spectrum for the fourth-leading from data with different SPS+DPS KATIE( KT) and PYTHIA8 (P8) models.

Comparison of the eta spectrum for the leading jet from data with different SPS+DPS KATIE( KT) and PYTHIA8 (P8) models.

Comparison of the eta spectrum for the sub-leading from data with different SPS+DPS KATIE( KT) and PYTHIA8 (P8) models.

Comparison of the eta spectrum for the third-leading from data with different SPS+DPS KATIE( KT) and PYTHIA8 (P8) models.

Comparison of the eta spectrum for the fourth-leading from data with different SPS+DPS KATIE( KT) and PYTHIA8 (P8) models.

Comparison of the DeltaPhiSoft distribution from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models. All distributions have been normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the DeltaPhiMin distribution from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models. All distributions have been normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the DeltaY distribution from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models. All distributions have been normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the phi_ij distribution from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models. All distributions have been normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the Deltap_{T,Soft} distributions from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models. All distributions havebeen normalized to regions where a reduced DPS sensitivity is expected.

Comparison of the DeltaS distributions from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models. All distributions have been normalized to regions where a reduced DPS contribution is expected.

The DeltaS distribution obtained from the mixed data sample compared to predictions from the pure DPS sample in PYTHIA 8 (P8) and KATIE (KT). The distributions are normalized to unity.

The results of the template fit for the POWHEG (PW) NLO 2 -> 2 model without the hard MPI removed. As the DeltaS distribution obtained from the mixed data sample carries a statistical and systematic uncertainty, so does the total fitted sample.

Comparison of the DeltaPhiSoft distribution from data to different PYTHIA8 (P8),HERWIG++ (H++), and HERWIG7 (H7) tunes.

Comparison of the DeltaPhiMin distribution from data to different PYTHIA8 (P8),HERWIG++ (H++), and HERWIG7 (H7) tunes.

Comparison of the DeltaY distribution from data to different PYTHIA8 (P8),HERWIG++ (H++), and HERWIG7 (H7) tunes.

Comparison of the phi_ij distribution from data to different PYTHIA8 (P8),HERWIG++ (H++), and HERWIG7 (H7) tunes.

Comparison of the Deltap_{T,Soft} distribution from data to different PYTHIA 8 (P8), HERWIG ++ (H++), and HERWIG 7 (H7) tunes.

Comparison of the DeltaS distribution from data to different PYTHIA 8 (P8), HERWIG ++ (H++), and HERWIG 7 (H7) tunes.

Comparison of the DeltaPhiSoft distribution from data to different KATIE(KT),MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations.

Comparison of the DeltaPhiMin distribution from data to different KATIE(KT),MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations.

Comparison of the DeltaY distribution from data to different KATIE(KT),MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations.

Comparison of the phi_ij distribution from data to different KATIE(KT),MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations.

Comparison of the Deltap_{T,Soft} distribution from data to different KATIE(KT),MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations.

Comparison of the DeltaS distribution from data to different KATIE(KT),MADGRAPH5aMC@NLO(MG5), andPOWHEG(PW) implementations.

Comparison of the DeltaPhiSoft distribution from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models.

Comparison of the DeltaPhiMin distribution from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models.

Comparison of the DeltaY distribution from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models.

Comparison of the phi_ij distribution from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models.

Comparison of the Deltap_{T,Soft} distribution from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models.

Comparison of the DeltaS distributions from data to different SPS+DPS KATIE (KT) and PYTHIA 8 (P8) models.

Measured cross section from the helicity fit, divided by bin width, for combination of muon and electron channel

Measured charge asymmetry from the helicity fit for combination of muon and electron channel

Measured cross section from the helicity fit, divided by bin width, for combination of muon and electron channel

Measured cross section from the helicity fit, divided by bin width, for combination of muon and electron channel

Measured charge asymmetry from the helicity fit for combination of muon and electron channel

Measured cross section from the helicity fit, divided by bin width, for combination of muon and electron channel

Measured cross section from the helicity fit, divided by bin width, for combination of muon and electron channel

Measured charge asymmetry from the helicity fit for combination of muon and electron channel

Measured cross section from the helicity fit, divided by bin width, for combination of muon and electron channel

Measured cross section from the helicity fit, divided by bin width, for combination of muon and electron channel

Impact of groups of uncertainties on normalized differential cross section versus $|y_{W}|$ for $W^{-}_{L}$

Impact of groups of uncertainties on charge asymmetry versus $|y_{W}|$ for $W_{L}$

Impact of groups of uncertainties on normalized differential cross section versus $|y_{W}|$ for $W^{+}_{L}$

Impact of groups of uncertainties on normalized differential cross section versus $|y_{W}|$ for $W^{-}_{R}$

Impact of groups of uncertainties on normalized differential cross section versus $|y_{W}|$ for $W^{+}_{R}$

Impact of groups of uncertainties on absolute differential cross section versus $|y_{W}|$ for $W^{+}_{R}$

Impact of groups of uncertainties on absolute differential cross section versus $|y_{W}|$ for $W^{+}_{L}$

Impact of groups of uncertainties on absolute differential cross section versus $|y_{W}|$ for $W^{-}_{L}$

Impact of groups of uncertainties on absolute differential cross section versus $|y_{W}|$ for $W^{-}_{R}$

Impact of groups of uncertainties on charge asymmetry versus $|y_{W}|$ for $W_{R}$

Impact of groups of uncertainties on absolute differential cross section versus $|y_{W}|$ for $W^{+}$

Impact of groups of uncertainties on absolute differential cross section versus $|y_{W}|$ for $W^{+}$

Impact of groups of uncertainties on unpolarized charge asymmetry versus $|y_{W}|$

Impact of groups of uncertainties on normalized differential cross section versus $|y_{W}|$ for $W^{+}$

Impact of groups of uncertainties on normalized differential cross section versus $|y_{W}|$ for $W^{+}$

Impact of groups of uncertainties on $A_{4}$ coefficient versus $|y_{W}|$ for $W^{+}$

Impact of groups of uncertainties on $A_{4}$ coefficient versus $|y_{W}|$ for $W^{+}$

Correlation matrix among normalized signal cross sections in the helicity fit, for combination of muon and electron channel. The cross sections are shown in Fig. 9 in paper

Correlation matrix among normalized signal cross sections in the helicity fit, for combination of muon and electron channel. The cross sections are shown in Fig. 9 in paper

Correlation matrix among PDF nuisances parameters in the helicity fit with fixed signal cross sections, for combination of muon and electron channel. The postfit values for these nuisance parameters are shown in Fig. 20 in paper

Postfit pulls and constraints for some nuisance parameters: $p_T^{W}$ binned $\mu_R$, $\mu_F$, $\mu_R\mu_F$ for $W_R$

Postfit pulls and constraints for some nuisance parameters: $p_T^{W}$ binned $\mu_R$, $\mu_F$, $\mu_R\mu_F$ for $W_L$

Postfit pulls and constraints for some nuisance parameters: PDFs and $\alpha_S$

Postfit pulls and constraints for all nuisance parameters in the W boson helicity fit with fixed signal cross sections, from combination of electron and muon channel. The convention adopted to name nuisance parameters in the tables is reported in glossary_nuisAndPois.txt

Postfit pulls and constraints for all nuisance parameters in the W boson helicity fit with floating signal cross sections, from combination of electron and muon channel. The convention adopted to name nuisance parameters in the tables is reported in glossary_nuisAndPois.txt

Measured double differential cross section from the double-differential cross section fit, divided by 2D-bin area, for combination of muon and electron channel

Measured double differential cross section from the double-differential cross section fit, divided by 2D-bin area, for combination of muon and electron channel

Measured double differential charge asymmetry from the double-differential cross section fit, for combination of muon and electron channel

Measured double differential cross section from the double-differential cross section fit, divided by 2D-bin area, for combination of muon and electron channel

Measured double differential cross section from the double-differential cross section fit, divided by 2D-bin area, for combination of muon and electron channel

Measured differential cross section from the double-differential cross section fit, divided by bin width, for combination of muon and electron channel

Measured differential cross section from the double-differential cross section fit, divided by bin width, for combination of muon and electron channel

Measured double differential cross section from the double-differential cross section fit, divided by 2D-bin area, for combination of muon and electron channel

Measured double differential cross section from the double-differential cross section fit, divided by 2D-bin area, for combination of muon and electron channel

Measured differential charge asymmetry from the double-differential cross section fit, for combination of muon and electron channel

Measured differential cross section from the double-differential cross section fit, divided by bin width, for combination of muon and electron channel

Measured differential cross section from the double-differential cross section fit, divided by bin width, for combination of muon and electron channel

Measured fiducial cross sections and ratio from the double-differential cross section fit, for combination of muon and electron channel

Measured differential cross section from the double-differential cross section fit, divided by bin width, for combination of muon and electron channel

Measured differential cross section from the double-differential cross section fit, divided by bin width, for combination of muon and electron channel

Measured differential charge asymmetry from the double-differential cross section fit, for combination of muon and electron channel

Measured differential cross section from the double-differential cross section fit, divided by bin width, for combination of muon and electron channel

Measured differential cross section from the double-differential cross section fit, divided by bin width, for combination of muon and electron channel

Impact of groups of uncertainties on charge asymmetry versus lepton $|\eta|$, for combination of muon and electron channel

Impact of groups of uncertainties on normalized differential cross section versus lepton $|\eta|$, for combination of muon and electron channel

Impact of groups of uncertainties on absolute differential cross section versus lepton $|\eta|$, for combination of muon and electron channel

Impact of groups of uncertainties on absolute differential cross section versus lepton $|\eta|$, for combination of muon and electron channel

Impact of groups of uncertainties on charge asymmetry versus lepton $p_{T}$, for combination of muon and electron channel

Impact of groups of uncertainties on normalized differential cross section versus lepton $p_{T}$, for combination of muon and electron channel

Impact of groups of uncertainties on normalized differential cross section versus lepton $p_{T}$, for combination of muon and electron channel

Impact of groups of uncertainties on absolute differential cross section versus lepton $p_{T}$, for combination of muon and electron channel

Impact of groups of uncertainties on absolute differential cross section versus lepton $p_{T}$, for combination of muon and electron channel

Impact of groups of uncertainties on normalized differential cross section versus lepton $|\eta|$, for combination of muon and electron channel

Postfit pulls and constraints for all nuisance parameters in the W boson double-differential cross section fit with floating signal cross sections, from combination of electron and muon channel. The convention adopted to name nuisance parameters in the tables is reported in glossary_nuisAndPois.txt

The measured differential cross sections $\rm{d}\sigma/\rm{d}|\eta|$ of $D^{*\pm}$ and $D^\pm$ production with $20<p_T<100\,$GeV. The first and second errors are the statistical and systematic uncertainties, respectively. The systematic uncertainty fractions corresponding to the tracking ($\delta_2$) uncertainties (Table 2 of the paper) are strongly correlated. The fully correlated uncertainties linked with the luminosity measurement ($3.5\%$) and branching fractions ($1.5\%$ and $2.1\%$ for $D^{*\pm}$ and $D^\pm$, respectively) are not shown.

Measured differential cross sections as function of the lepton pseudo-rapidity of the production of a W boson with a D meson or a D* meson times the branching ratio W -> l nu in the fiducial regions together with the statistical and systematic uncertainties. Jets are not required for the W+D/D* cross sections. The cross sections are defined for OS-SS events.

Measured cross section ratios of the production of a W boson with a D meson or a D* meson and the inclusive production of a W boson in the fiducial regions together with the statistical and systematic uncertainties. Jets are not required for the W+D/D* cross sections. The cross sections are defined for OS-SS events.

Measured differential cross section ratios of the production of a W boson with a D meson or a D* meson and the inclusive production of a W boson in the fiducial regions as function of the D/D* meson pT together with the statistical and systematic uncertainties. Jets are not required for the W+D/D* cross sections. The cross sections are defined for OS-SS events.

Measured integrated cross sections of the production of a W boson in association with a single c-jet and exactly zero or one additional non-c-jets times the branching ratio W -> l nu in the fiducial regions together with the statistical and systematic uncertainties. The particle-level c-jet is defined as the one containing a weakly decaying c-hadron with pt>5 GeV, within DeltaR<0.3. Jets containing c-hadrons originating from b-hadron decays are not counted as c-jets. The cross sections are defined for OS-SS events.

Measured integrated cross sections ratio of the production of a W+ and W- bosons in association with a single c-jet and exactly zero or one additional non-c-jets in the fiducial regions together with the statistical and systematic uncertainties. The particle-level c-jet is defined as the one containing a weakly decaying c-hadron with pt>5 GeV, within DeltaR<0.3. Jets containing c-hadrons originating from b-hadron decays are not counted as c-jets. The cross sections are defined for OS-SS events.

Measured integrated cross sections of the production of a W boson in association with a single c-jet decaying into a soft muon in the fiducial regions together with the statistical and systematic uncertainties. The particle-level c-jet is defined as the one containing a weakly decaying c-hadron with pt>5 GeV, within DeltaR<0.3. Jets containing c-hadrons originating from b-hadron decays are not counted as c-jets. Soft muons are associated to c-jets within a cone of DeltaR<0.5. Jets are not required for the W+D/D* cross sections. The cross sections are defined for OS-SS events.

Correlation matrix corresponding to the total uncertainties of measured integrated cross sections of the production of a W boson with a single c-jet, a D meson or a D* meson times the branching ratio W -> l nu in the fiducial regions.

Systematic uncertainties after the averaging procedure of the inclusive cross sections in different channels. The first row (labeled Uncorr.) represents the uncorrelated systematic uncertainties. The following rows represent the diagonalized list of systematic uncertainties which are correlated across all channels. The luminosity is included in these correlated systematic uncertainties.

Systematic uncertainties after the averaging procedure of the differential cross sections as function of the lepton pseudo-rapidity in different channels. The first row (labeled Uncorr.) represents the uncorrelated systematic uncertainties. The following rows represent the diagonalized list of systematic uncertainties which are correlated across all channels and bins. The luminosity is included in these correlated systematic uncertainties. The systematic uncertainties for the W+ + cbar-jet channel are shown in this table.

Systematic uncertainties after the averaging procedure of the differential cross sections as function of the lepton pseudo-rapidity in different channels. The first row (labeled Uncorr.) represents the uncorrelated systematic uncertainties. The following rows represent the diagonalized list of systematic uncertainties which are correlated across all channels and bins. The luminosity is included in these correlated systematic uncertainties. The systematic uncertainties for the W- + c-jet channel are shown in this table.

Systematic uncertainties after the averaging procedure of the differential cross sections as function of the lepton pseudo-rapidity in different channels. The first row (labeled Uncorr.) represents the uncorrelated systematic uncertainties. The following rows represent the diagonalized list of systematic uncertainties which are correlated across all channels and bins. The luminosity is included in these correlated systematic uncertainties. The systematic uncertainties for the W+ D- and W- D+ channels are shown in this table.

Systematic uncertainties after the averaging procedure of the differential cross sections as function of the lepton pseudo-rapidity in different channels. The first row (labeled Uncorr.) represents the uncorrelated systematic uncertainties. The following rows represent the diagonalized list of systematic uncertainties which are correlated across all channels and bins. The luminosity is included in these correlated systematic uncertainties. The systematic uncertainties for the W+ D*- and W- D*+ channels are shown in this table.

Theoretical Predictions for the integrated cross section of the production of W+ and W- bosons associated with a single c-jet, a D meson or a D* meson in the fiducial regions together with the statistical and systematic uncertainties. For the W+c-jet cross sections events with more than one c-jet are discarded. The particle-level c-jet is defined as the one containing a weakly decaying c-hadron with pt>5 GeV, within DeltaR<0.3. Jets containing c-hadrons originating from b-hadron decays are not counted as c-jets. Jets are not required for the W+D/D* cross sections. The cross sections are defined for OS-SS events. The predictions have been obtained the aMC@NLO MC simulation interfaced to the Herwig++ parton shower programme. The uncertainties on the predictions entail PDF uncertainties, parton shower, fragmentation and scale uncertainties. The predictions are reweighted using LHAPDF from the CT10nlo PDF set to the following PDF sets with the LHAPDF IDs given in brackets: CT10nlo (11000), MSTW2008nlo68cl (21100), NNPDF23_nlo_as_0119 (230000), NNPDF23_nlo_collider_as_0119 (236000), HERAPDF15NLO (EIG+VAR, 60700+60730), ATLAS-epWZ12 (EIG+VAR, 65000+65040).

PDF uncertainty for each of the used PDF sets as well as the combined parton shower, fragmentation and scale uncertainties (given in percent) for the theoretical Predictions for the integrated cross section of the production of W+ and W- bosons associated with a single c-jet, a D meson or a D* meson in the fiducial regions together with the statistical and systematic uncertainties. If added quadratically, these uncertainties represent the total uncertainty on the quoted theory prediction. For the W+c-jet cross sections events with more than one c-jet are discarded. The particle-level c-jet is defined as the one containing a weakly decaying c-hadron with pt>5 GeV, within DeltaR<0.3. Jets containing c-hadrons originating from b-hadron decays are not counted as c-jets. Jets are not required for the W+D/D* cross sections. The cross sections are defined for OS-SS events. The predictions have been obtained the aMC@NLO MC simulation interfaced to the Herwig++ parton shower programme. The uncertainties on the predictions entail PDF uncertainties, FSR uncertainties and scale uncertainties. The predictions are reweighted using LHAPDF from the CT10nlo PDF set to the following PDF sets with the LHAPDF IDs given in brackets: CT10nlo (11000), MSTW2008nlo68cl (21100), NNPDF23_nlo_as_0119 (230000), NNPDF23_nlo_collider_as_0119 (236000), HERAPDF15NLO (EIG+VAR, 60700+60730), ATLAS-epWZ12 (EIG+VAR, 65000+65040). The determination of the parton shower, fragmentation and scale uncertainties is detailed in the paper.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of fourth jet rapidity for events with four or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton transverse momentum for events with one or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton transverse momentum for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton transverse momentum for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton transverse momentum for events with four or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton pseudorapidity for events with one or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton pseudorapidity for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton pseudorapidity for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton pseudorapidity for events with four or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of rapidity separation between the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of rapidity separation between the two highest pT jets for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of rapidity separation between the two most rapidity-separated hard (pT>20 GeV) jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of rapidity separation between the two most rapidity-separated hard (pT>20 GeV) jets for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of azimuthal angle separation between the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of azimuthal angle separation between the two most rapidity-separated hard (pT>20 GeV) jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of DeltaR separation between the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

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Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of W boson pT for events with one or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of W boson pT for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of W boson pT for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of W boson pT for events with four or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of the transverse momentum of the dijet system of the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of the transverse momentum of the dijet system of the two highest pT jets for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of dijet invariant mass of the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of dijet invariant mass of the two highest pT jets for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of HT for events with one or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of HT for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of HT for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of HT for events with four or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Average number of jets as a function of HT for events with one or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Average number of jets as a function of HT for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Average number of jets as a function of the rapidity separation between the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Average number of jets as a function of the rapidity separation between the two most rapidity separated jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Probability of third jet emission as a function of the rapidity separation of the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Probability of third jet emission as a function of the rapidity separation of the two most rapidity-separated hard (pT>20 GeV) for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Probability of third jet emission as a function of rapidity separation between the two highest pT jets with the requirement that the additional jet be emitted into the rapidity interval defined by the two highest pT jets, for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Fraction of events with two jets produced in association with a W boson that do not contain a third hard (pT>20 GeV) jet in the rapidity interval between the two highest pT jets, as a function of rapidity separation between the two highest pT jets. First uncertainty is statistical, second uncertainty is systematic.

Fraction of events with two jets produced in association with a W boson that do not contain a third hard (pT>20 GeV) jet in the rapidity interval between the two most rapidity-separated jets, as a function of rapidity separation between the two most rapidity-separated jets. First uncertainty is statistical, second uncertainty is systematic.