Ratios of integrated fiducial CC and NC cross sections obtained from the combination of electron and muon channels with statistical (stat) and systematic (syst) uncertainties. The common fiducial regions are defined in Section 2.3.

Total cross sections times leptonic branching ratios obtained from the combination of electron and muon channels with statistical and systematic uncertainties, for $W^+$, $W^-$, their sum and the $Z/\gamma^*$ process measured at $\sqrt{s}=7$ TeV. The $Z/\gamma^*$ cross section is defined for the dilepton mass window $m_{\ell\ell} = 66 - 116$ GeV. The uncertainties denote the statistical (stat), the experimental systematic (syst), the luminosity (lumi), and acceptance extrapolation (acc) contributions.

Ratios of total CC and NC cross sections obtained from the combination of electron and muon channels with statistical and systematic uncertainties. The $Z/\gamma^*$ cross section is defined for the dilepton mass window $m_{\ell\ell} = 66 - 116$ GeV. The uncertainties denote the statistical (stat), the experimental systematic (syst), and acceptance extrapolation (acc) contributions.

The correlation coefficients of the $W^+$, $W^-$ and $Z$ fiducial cross-section measurements.

Measurement of the electron-to-muon cross-section ratios for the $W$ and $Z$ production, $R_W$ and $R_Z$. The uncertainties denote the statistical (stat) and the experimental systematic (syst) contributions.

Differential cross section for the $W^+ \to \ell^+\nu$ processes combined from $\ell = e, \mu$ decays extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the $W^- \to \ell^-\bar{\nu}$ processes combined from $\ell = e, \mu$ decays extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the central $Z/\gamma^* \to \ell\ell$ processes in the invariant mass region $46 < m_{\ell\ell} < 66$ GeV combined from $\ell = e, \mu$ decays extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the central $Z/\gamma^* \to \ell\ell$ processes in the invariant mass region $66 < m_{\ell\ell} < 116$ GeV combined from $\ell = e, \mu$ decays extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the central $Z/\gamma^* \to \ell\ell$ processes in the invariant mass region $116 < m_{\ell\ell} < 150$ GeV combined from $\ell = e, \mu$ decays extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the forward $Z/\gamma^* \to \ell\ell$ processes in the invariant mass region $66 < m_{\ell\ell} < 116$ GeV combined from $\ell = e, \mu$ decays extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the forward $Z/\gamma^* \to \ell\ell$ processes in the invariant mass region $116 < m_{\ell\ell} < 150$ GeV combined from $\ell = e, \mu$ decays extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the $W^- \to e^-\bar{\nu}$ process extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the $W^+ \to e^+\nu$ process extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the central $Z/\gamma^* \to ee$ process in the invariant mass region $46 < m_{\ell\ell} < 66$ GeV extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the central $Z/\gamma^* \to ee$ process in the invariant mass region $66 < m_{\ell\ell} < 116$ GeV extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the forward $Z/\gamma^* \to ee$ process in the invariant mass region $66 < m_{\ell\ell} < 116$ GeV extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the central $Z/\gamma^* \to ee$ process in the invariant mass region $116 < m_{\ell\ell} < 150$ GeV extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the forward $Z/\gamma^* \to ee$ process in the invariant mass region $116 < m_{\ell\ell} < 150$ GeV extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the $W^- \to \mu^-\bar{\nu}$ process extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the $W^+ \to \mu^+\nu$ process extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the central $Z/\gamma^* \to \mu\mu$ process in the invariant mass region $66 < m_{\ell\ell} < 116$ GeV extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the central $Z/\gamma^* \to \mu\mu$ process in the invariant mass region $46 < m_{\ell\ell} < 66$ GeV extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Differential cross section for the central $Z/\gamma^* \to \mu\mu$ process in the invariant mass region $116 < m_{\ell\ell} < 150$ GeV extrapolated to the common fiducial region. The statistical, uncorrelated systematic, correlated systematic and luminosity uncertainties are given in percent.

Values of $E(W[Z])$ and $A(W[Z])$ correction factors for integrated $W\to\ell\nu$ and $Z\to\ell\ell$ measurements together with the total estimated uncertainties in percent. The separate electron and muon measurements are divided by the $E(W[Z])$ factors, as defined in Eq.(8), to correct them to the corresponding common fiducial region. The $A(W[Z])$ factors, defined in Eq. (9), are used to extract a total cross section. Finally, the ratios of $A(W[Z])$ correction factors are given for four combinations of $W^+$, $W^-$ and $Z$ treating all components of the $A(W[Z])$ uncertainties as correlated between processes, which is relevant for the acceptance uncertainties on the total cross-section ratios.

Values of $E(W)$ correction factors for the differential $W\to\ell\nu$ measurements together with the total estimated uncertainties in percent. The separate electron and muon measurements are divided by the $E(W)$ factors, as defined in Eq.(8), to correct them to the corresponding common fiducial region. This only affects the bin of highest $\eta_\ell$, all other $E(W)$ factors are exactly 1 without uncertainties.

Values of $E(Z)$ correction factors for the differential $Z/\gamma^*\to e^+e^-$ measurements together with the total estimated uncertainties in percent. The separate electron and muon measurements are divided by the $E(Z)$ factors, as defined in Eq.(8), to correct them to the corresponding common fiducial region.

Values of $E(Z)$ correction factors for the differential $Z/\gamma^*\to \mu^+\mu^-$ measurements together with the total estimated uncertainties in percent. The separate electron and muon measurements are divided by the $E(Z)$ factors, as defined in Eq.(8), to correct them to the corresponding common fiducial region.

Values of $E(Z)$ correction factors for the differential forward $Z/\gamma^*\to e^+e^-$ measurements together with the total estimated uncertainties in percent. The separate electron and muon measurements are divided by the $E(Z)$ factors, as defined in Eq.(8), to correct them to the corresponding common fiducial region.

Correlation coefficients between integrated cross sections extrapolated to the total phase space, $\sigma^\mathrm{tot}_{W \to \ell\nu}$ and $\sigma^\mathrm{tot}_{Z/\gamma^* \to \ell\ell}$ for four combinations of $W^+, W^-, W^{\pm}$ and $Z$. Values are given including and excluding the luminosity uncertainties.

Correlation coefficients between integrated fiducial cross sections in electron and muon channels for $W^{\pm}$ and $Z$. Values are given including and excluding the luminosity uncertainties.

The differential W charge asymmetry $A_{\ell}$ as defined in Eq. (19) from the combined electron and muon channel measurements. All uncertainties are quoted in % with respect to the $A_{\ell}$ values. The statistical (stat), uncorrelated (uncor) and correlated (cor) systematic uncertainties are reported.

Combined NNLO QCD and NLO EW predictions as defined in Eq. (15), c.f. Section 6.1.2 and Ref. [110] Chapter III.2.3, for the integrated common fiducial cross sections using Table 15 input parameters and various NNLO PDFs. The given uncertainties correspond to the statistical accuracy from the numerical DYNNLO 1.5 integration (stat) and the PDF uncertainties, where the latter are evaluated following the different prescriptions of the PDF groups.

Combined NNLO QCD and NLO EW predictions as defined in Eq. (15), c.f. Section 6.1.2 and Ref. [110] Chapter III.2.3, for the differential common fiducial cross sections for the $W^+ \to \ell^+\nu$ process using Table 15 input parameters and various NNLO PDFs. The given uncertainties correspond to the statistical accuracy from the numerical DYNNLO 1.5 integration (stat) and the PDF uncertainties, where the latter are evaluated following the different prescriptions of the PDF groups.

Combined NNLO QCD and NLO EW predictions as defined in Eq. (15), c.f. Section 6.1.2 and Ref. [110] Chapter III.2.3, for the differential common fiducial cross sections for the $W^- \to \ell^-\bar{\nu}$ process$ using Table 15 input parameters and various NNLO PDFs. The given uncertainties correspond to the statistical accuracy from the numerical DYNNLO 1.5 integration (stat) and the PDF uncertainties, where the latter are evaluated following the different prescriptions of the PDF groups.

Combined NNLO QCD and NLO EW predictions as defined in Eq. (15), c.f. Section 6.1.2 and Ref. [110] Chapter III.2.3, for the differential common fiducial W charge asymmetry $A_{\ell}$ using Table 15 input parameters and various NNLO PDFs. The given uncertainties correspond to the statistical accuracy from the numerical DYNNLO 1.5 integration (stat) and the PDF uncertainties, where the latter are evaluated following the different prescriptions of the PDF groups.

Combined NNLO QCD and NLO EW predictions as defined in Eq. (15), c.f. Section 6.1.2 and Ref. [110] Chapter III.2.3, for the differential common fiducial cross sections for the central $Z/\gamma^* \to \ell\ell$ processes in the invariant mass region $46 < m_{\ell\ell} < 66$ GeV using Table 15 input parameters and various NNLO PDFs. The given uncertainties correspond to the statistical accuracy from the numerical DYNNLO 1.5 integration (stat) and the PDF uncertainties, where the latter are evaluated following the different prescriptions of the PDF groups. The term 'EW' quantifies the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised ($\pm$). All predictions are corrected for leading two-loop EW contributions.

Combined NNLO QCD and NLO EW predictions as defined in Eq. (15), c.f. Section 6.1.2 and Ref. [110] Chapter III.2.3, for the differential common fiducial cross sections for the central $Z/\gamma^* \to \ell\ell$ processes in the invariant mass region $66 < m_{\ell\ell} < 116$ GeV using Table 15 input parameters and various NNLO PDFs. The given uncertainties correspond to the statistical accuracy from the numerical DYNNLO 1.5 integration (stat) and the PDF uncertainties, where the latter are evaluated following the different prescriptions of the PDF groups. The term 'EW' quantifies the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised ($\pm$).

Combined NNLO QCD and NLO EW predictions as defined in Eq. (15), c.f. Section 6.1.2 and Ref. [110] Chapter III.2.3, for the differential common fiducial cross sections for the central $Z/\gamma^* \to \ell\ell$ processes in the invariant mass region $116 < m_{\ell\ell} < 150$ GeV using Table 15 input parameters and various NNLO PDFs. The given uncertainties correspond to the statistical accuracy from the numerical DYNNLO 1.5 integration (stat) and the PDF uncertainties, where the latter are evaluated following the different prescriptions of the PDF groups. The term 'EW' quantifies the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised ($\pm$).

Combined NNLO QCD and NLO EW predictions as defined in Eq. (15), c.f. Section 6.1.2 and Ref. [110] Chapter III.2.3, for the differential common fiducial cross sections for the forward $Z/\gamma^* \to \ell\ell$ processes in the invariant mass region $66 < m_{\ell\ell} < 116$ GeV using Table 15 input parameters and various NNLO PDFs. The given uncertainties correspond to the statistical accuracy from the numerical DYNNLO 1.5 integration (stat) and the PDF uncertainties, where the latter are evaluated following the different prescriptions of the PDF groups. The term 'EW' quantifies the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised ($\pm$).

Combined NNLO QCD and NLO EW predictions as defined in Eq. (15), c.f. Section 6.1.2 and Ref. [110] Chapter III.2.3, for the differential common fiducial cross sections for the forward $Z/\gamma^* \to \ell\ell$ processes in the invariant mass region $116 < m_{\ell\ell} < 150$ GeV using Table 15 input parameters and various NNLO PDFs. The given uncertainties correspond to the statistical accuracy from the numerical DYNNLO 1.5 integration (stat) and the PDF uncertainties, where the latter are evaluated following the different prescriptions of the PDF groups. The term 'EW' quantifies the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised ($\pm$).

Nominal NNLO QCD + NLO EW $K_f$-factors as defined in Eq. (20) for the differential $W^+ \to \ell^+\nu$ process. The $K_f$-factor is calculated as ratio of the best NNLO QCD + NLO EW prediction to the NLO QCD calculation using the MCFM/APPLGRID calculation, both using the ATLAS-epWZ12 NNLO PDF set, c.f. Section 7.1. In addition to the nominal $K_f$-factor, a full set of alternative $K$-factors is presented reflecting the following systematic variations, c.f. Tables 19 and 21. The factor $K_{FEWZ}$ uses FEWZ 3.1.b2 for the NNLO QCD prediction, combined with NLO EW. The factors $K_\mu$ reflect the variation of the renormalisation and factorisations scales ($\mu_R, \mu_F$ up/down) by factors of 2 and 0.5, respectively. The statistical uncertainty on each $K_f$-factor (stat) is obtained from the NNLO QCD calculation, while the numerical uncertainties from all other contributions are negligible.

Nominal NNLO QCD + NLO EW $K_f$-factors as defined in Eq. (20) for the differential $W^- \to \ell^-\bar{\nu}$ process. The $K_f$-factor is calculated as ratio of the best NNLO QCD + NLO EW prediction to the NLO QCD calculation using the MCFM/APPLGRID calculation, both using the ATLAS-epWZ12 NNLO PDF set, c.f. Section 7.1. In addition to the nominal $K_f$-factor, a full set of alternative $K$-factors is presented reflecting the following systematic variations, c.f. Tables 19 and 21. The factor $K_{FEWZ}$ uses FEWZ 3.1.b2 for the NNLO QCD prediction, combined with NLO EW. The factors $K_\mu$ reflect the variation of the renormalisation and factorisations scales ($\mu_R, \mu_F$ up/down) by factors of 2 and 0.5, respectively. The statistical uncertainty on each $K_f$-factor (stat) is obtained from the NNLO QCD calculation, while the numerical uncertainties from all other contributions are negligible.

Nominal NNLO QCD + NLO EW $K_f$-factors as defined in Eq. (20) for the differential central $Z/\gamma^* \to \ell\ell$ process in the invariant mass region $46 < m_{\ell\ell} < 66$ GeV. The $K_f$-factor is calculated as ratio of the best NNLO QCD + NLO EW prediction to the NLO QCD calculation using the MCFM/APPLGRID calculation, both using the ATLAS-epWZ12 NNLO PDF set, c.f. Section 7.1. In addition to the nominal $K_f$-factor, a full set of alternative $K$-factors is presented reflecting the following systematic variations, c.f. Tables 19 and 21. The factor $K_{FEWZ}$ uses the FEWZ 3.1.b2 NNLO QCD prediction, combined with NLO EW. The factors $K_\mu$ reflect the variation of the renormalisation and factorisations scales ($\mu_R, \mu_F$ up/down) by factors 2 and 0.5, respectively. The factors $K_{EW}$ quantify the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised (EW up/down). The statistical uncertainty on each $K_f$-factor (stat) is obtained from the NNLO QCD calculation, while the numerical uncertainties from all other contributions is negligible.

Nominal NNLO QCD + NLO EW $K_f$-factors as defined in Eq. (20) for the differential central $Z/\gamma^* \to \ell\ell$ process in the invariant mass region $66 < m_{\ell\ell} < 116$ GeV. The $K_f$-factor is calculated as ratio of the best NNLO QCD + NLO EW prediction to the NLO QCD calculation using the MCFM/APPLGRID calculation, both using the ATLAS-epWZ12 NNLO PDF set, c.f. Section 7.1. In addition to the nominal $K_f$-factor, a full set of alternative $K$-factors is presented reflecting the following systematic variations, c.f. Tables 19 and 21. The factor $K_{FEWZ}$ uses the FEWZ 3.1.b2 NNLO QCD prediction, combined with NLO EW. The factors $K_\mu$ reflect the variation of the renormalisation and factorisations scales ($\mu_R, \mu_F$ up/down) by factors 2 and 0.5, respectively. The factors $K_{EW}$ quantify the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised (EW up/down). The statistical uncertainty on each $K_f$-factor (stat) is obtained from the NNLO QCD calculation, while the numerical uncertainties from all other contributions is negligible.

Nominal NNLO QCD + NLO EW $K_f$-factors as defined in Eq. (20) for the differential central $Z/\gamma^* \to \ell\ell$ process in the invariant mass region $116 < m_{\ell\ell} < 150$ GeV. The $K_f$-factor is calculated as ratio of the best NNLO QCD + NLO EW prediction to the NLO QCD calculation using the MCFM/APPLGRID calculation, both using the ATLAS-epWZ12 NNLO PDF set, c.f. Section 7.1. In addition to the nominal $K_f$-factor, a full set of alternative $K$-factors is presented reflecting the following systematic variations, c.f. Tables 19 and 21. The factor $K_{FEWZ}$ uses the FEWZ 3.1.b2 NNLO QCD prediction, combined with NLO EW. The factors $K_\mu$ reflect the variation of the renormalisation and factorisations scales ($\mu_R, \mu_F$ up/down) by factors 2 and 0.5, respectively. The factors $K_{EW}$ quantify the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised (EW up/down). The statistical uncertainty on each $K_f$-factor (stat) is obtained from the NNLO QCD calculation, while the numerical uncertainties from all other contributions is negligible.

Nominal NNLO QCD + NLO EW $K_f$-factors as defined in Eq. (20) for the differential forward $Z/\gamma^* \to \ell\ell$ process in the invariant mass region $66 < m_{\ell\ell} < 116$ GeV. The $K_f$-factor is calculated as ratio of the best NNLO QCD + NLO EW prediction to the NLO QCD calculation using the MCFM/APPLGRID calculation, both using the ATLAS-epWZ12 NNLO PDF set, c.f. Section 7.1. In addition to the nominal $K_f$-factor, a full set of alternative $K$-factors is presented reflecting the following systematic variations, c.f. Tables 19 and 21. The factor $K_{FEWZ}$ uses the FEWZ 3.1.b2 NNLO QCD prediction, combined with NLO EW. The factors $K_\mu$ reflect the variation of the renormalisation and factorisations scales ($\mu_R, \mu_F$ up/down) by factors 2 and 0.5, respectively. The factors $K_{EW}$ quantify the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised (EW up/down). The statistical uncertainty on each $K_f$-factor (stat) is obtained from the NNLO QCD calculation, while the numerical uncertainties from all other contributions is negligible.

Nominal NNLO QCD + NLO EW $K_f$-factors as defined in Eq. (20) for the differential forward $Z/\gamma^* \to \ell\ell$ process in the invariant mass region $116 < m_{\ell\ell} < 150$ GeV. The $K_f$-factor is calculated as ratio of the best NNLO QCD + NLO EW prediction to the NLO QCD calculation using the MCFM/APPLGRID calculation, both using the ATLAS-epWZ12 NNLO PDF set, c.f. Section 7.1. In addition to the nominal $K_f$-factor, a full set of alternative $K$-factors is presented reflecting the following systematic variations, c.f. Tables 19 and 21. The factor $K_{FEWZ}$ uses the FEWZ 3.1.b2 NNLO QCD prediction, combined with NLO EW. The factors $K_\mu$ reflect the variation of the renormalisation and factorisations scales ($\mu_R, \mu_F$ up/down) by factors 2 and 0.5, respectively. The factors $K_{EW}$ quantify the deviation in case of using the NNLO QCD and NLO EW combination procedure as defined in Eq. (13) from the nominal prescription in Eq. (15), where the effect is symmetrised (EW up/down). The statistical uncertainty on each $K_f$-factor (stat) is obtained from the NNLO QCD calculation, while the numerical uncertainties from all other contributions is negligible.

Correction factors estimated from Powheg+Pythia6+Photos samples, c.f. Section 2.2, to convert the integrated common fiducial cross-section measurements from Born QED level, c.f. Section 6.1.2, to a "dressed" and "bare" QED FSR definition. The "dressed" level is obtained from the charged final-state lepton(s) combined with all FSR photons within a cone R, as defined in Footnote 1, of R<0.1. The "bare" level is obtained from the charged final-state lepton(s) after QED FSR losses. The factors $C_{dressed}$ ($C_{bare}$) are defined as the ratio of the dressed (bare) to the Born QED level cross sections. The statistical uncertainties are negligible on these correction factors.

Correction factors estimated from Powheg+Pythia6+Photos samples, c.f. Section 2.2, to convert the differential common fiducial $W^+ \to e^+\nu$ cross-section measurements from Born QED level, c.f. Section 6.1.2, to a "dressed" and "bare" QED FSR definition. The "dressed" level is obtained from the charged final-state lepton(s) combined with all FSR photons within a cone R, as defined in Footnote 1, of R<0.1. The "bare" level is obtained from the charged final-state lepton(s) after QED FSR losses. The factors $C_{dressed}$ ($C_{bare}$) are defined as the ratio of the dressed (bare) to the Born QED level cross sections. The statistical uncertainties (stat) are given.

Correction factors estimated from Powheg+Pythia6+Photos samples, c.f. Section 2.2, to convert the differential common fiducial $W^- \to e^-\bar{\nu}$ cross-section measurements from Born QED level, c.f. Section 6.1.2, to a "dressed" and "bare" QED FSR definition. The "dressed" level is obtained from the charged final-state lepton(s) combined with all FSR photons within a cone R, as defined in Footnote 1, of R<0.1. The "bare" level is obtained from the charged final-state lepton(s) after QED FSR losses. The factors $C_{dressed}$ ($C_{bare}$) are defined as the ratio of the dressed (bare) to the Born QED level cross sections. The statistical uncertainties (stat) are given.

Correction factors estimated from Powheg+Pythia6+Photos samples, c.f. Section 2.2, to convert the differential common fiducial $W^+ \to \mu^+\nu$ cross-section measurements from Born QED level, c.f. Section 6.1.2, to a "dressed" and "bare" QED FSR definition. The "dressed" level is obtained from the charged final-state lepton(s) combined with all FSR photons within a cone R, as defined in Footnote 1, of R<0.1. The "bare" level is obtained from the charged final-state lepton(s) after QED FSR losses. The factors $C_{dressed}$ ($C_{bare}$) are defined as the ratio of the dressed (bare) to the Born QED level cross sections. The statistical uncertainties (stat) are given.

Correction factors estimated from Powheg+Pythia6+Photos samples, c.f. Section 2.2, to convert the differential common fiducial $W^- \to \mu^-\bar{\nu}$ cross-section measurements from Born QED level, c.f. Section 6.1.2, to a "dressed" and "bare" QED FSR definition. The "dressed" level is obtained from the charged final-state lepton(s) combined with all FSR photons within a cone R, as defined in Footnote 1, of R<0.1. The "bare" level is obtained from the charged final-state lepton(s) after QED FSR losses. The factors $C_{dressed}$ ($C_{bare}$) are defined as the ratio of the dressed (bare) to the Born QED level cross sections. The statistical uncertainties (stat) are given.

Correction factors estimated from Powheg+Pythia6+Photos samples, c.f. Section 2.2, to convert the differential common fiducial central $Z/\gamma^* \to ee$ cross-section measurements from Born QED level, c.f. Section 6.1.2, to a "dressed" and "bare" QED FSR definition. The "dressed" level is obtained from the charged final-state lepton(s) combined with all FSR photons within a cone R, as defined in Footnote 1, of R<0.1. The "bare" level is obtained from the charged final-state lepton(s) after QED FSR losses. The factors $C_{dressed}$ ($C_{bare}$) are defined as the ratio of the dressed (bare) to the Born QED level cross sections. The statistical uncertainties (stat) are given.

Correction factors estimated from Powheg+Pythia6+Photos samples, c.f. Section 2.2, to convert the differential common fiducial central $Z/\gamma^* \to \mu\mu$ cross-section measurements from Born QED level, c.f. Section 6.1.2, to a "dressed" and "bare" QED FSR definition. The "dressed" level is obtained from the charged final-state lepton(s) combined with all FSR photons within a cone R, as defined in Footnote 1, of R<0.1. The "bare" level is obtained from the charged final-state lepton(s) after QED FSR losses. The factors $C_{dressed}$ ($C_{bare}$) are defined as the ratio of the dressed (bare) to the Born QED level cross sections. The statistical uncertainties (stat) are given.

Correction factors estimated from Powheg+Pythia6+Photos samples, c.f. Section 2.2, to convert the differential common fiducial forward $Z/\gamma^* \to ee$ cross-section measurements from Born QED level, c.f. Section 6.1.2, to a "dressed" and "bare" QED FSR definition. The "dressed" level is obtained from the charged final-state lepton(s) combined with all FSR photons within a cone R, as defined in Footnote 1, of R<0.1. The "bare" level is obtained from the charged final-state lepton(s) after QED FSR losses. The factors $C_{dressed}$ ($C_{bare}$) are defined as the ratio of the dressed (bare) to the Born QED level cross sections. The statistical uncertainties (stat) are given.

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.

Fiducial $W+b$-jets cross-section correlations of statistical errors in the 1-jet region in bins of $p_T^{b-jet}$.

Fiducial $W+b$-jets cross-section correlations of systematic errors in the 1-jet region in bins of $p_T^{b-jet}$.

Fiducial $W+b$-jets cross-section correlations of statistical errors in the 1-jet region in bins of $p_T^{b-jet}$ without single-top subtraction.

Fiducial $W+b$-jets cross-section correlations of systematic errors in the 1-jet region in bins of $p_T^{b-jet}$ without single-top subtraction.

Measured fiducial $W+b$-jets cross-section in the 2-jet region with statistical and systematic uncertainties in bins of $p_T^{b-jet}$. Also shown are the cross sections obtained without single-top subtraction. UPDATE (04 MAY 2019): units corrected from nb/GeV to fb/GeV.

Fiducial $W+b$-jets cross-section correlations of statistical errors in the 2-jet region in bins of $p_T^{b-jet}$.

Fiducial $W+b$-jets cross-section correlations of systematic errors in the 2-jet region in bins of $p_T^{b-jet}$.

Fiducial $W+b$-jets cross-section correlations of statistical errors in the 2-jet region in bins of $p_T^{b-jet}$ without single-top subtraction.

Fiducial $W+b$-jets cross-section correlations of systematic errors in the 2-jet region in bins of $p_T^{b-jet}$ without single-top subtraction.

Multiplicative correction factors for non-perturbative effects and additive corrections for double-parton interactions, derived from the ALPGEN simulation, applied to the MCFM and POWHEG predictions for the comparisons with unfolded results. The non-perturbative uncertainties include the hadronization and underlying event modelling, while the DPI uncertainties are based on the ATLAS measurement of $\sigma_{\rm eff}$.

Multiplicative correction factors for non-perturbative effects and additive corrections for double-parton interactions, derived from the ALPGEN simulation, applied to the MCFM and POWHEG predictions for the comparisons with unfolded results. The non-perturbative uncertainties include the hadronization and underlying event modelling, while the DPI uncertainties are based on the ATLAS measurement of $\sigma_{\rm eff}$.

Theoretical NLO predictions for the $W+b$-jet fiducial cross-section for one lepton flavour calculated with the MCFM program, corrected for non-perturbative effects and DPI contributions.

Normalised fiducial cross section in bins of the leading lepton PT. Leading Lepton is the lepton in the final state with highest PT.

Correlations in the leading Lepton PT distribution.

Observed and predicted W+W- transverse mass distribution in the E-E channel. Also tabulated are the predictions for a RS graviton of mass 1000 GeV and a bulk RS graviton with mass 600 GeV.

Observed and predicted W+W- transverse mass distribution in the E-MU channel. Also tabulated are the predictions for a RS graviton of mass 1000 GeV and a bulk RS graviton with mass 600 GeV.

Correlations in the PT distribution.

Normalised fiducial cross section in bins of the Mass of the WZ.

Correlations in the Mass distribution.

The measured cross section ratio for W+jets in the muon channel as a function of corrected jet multiplicity.

The cross section times branching ratio for W+jets in the electron channel as a function of the leading jet PT.

The cross section times branching ratio for W+jets in the muon channel as a function of the leading jet PT.

The cross section times branching ratio for W+jets in the electron channel as a function of the next-to-leading jet PT.

The cross section times branching ratio for W+jets in the muon channel as a function of the next-to-leading jet PT.