Ratio of fiducial cross sections measured for $W^{\pm} Z$ production at $\sqrt{s}=13$ TeV and $\sqrt{s}=8$ TeV. The first systematic uncertainty is the combined systematic uncertainty excluding the luminosity uncertainty, the second is the luminosity uncertainty.

Ratio of fiducial cross sections measured for $W^{+} Z$ and $W^{-} Z$ production.

Cross section extrapolated to total phase space and all W and Z boson decays. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the theory uncertainty and the third is the luminosity uncertainty.

The measured fiducial cross sections are corrected to the dressed level. The ratio of $C_{WZ}^{\textrm{dressed}}/C_{WZ}^{\textrm{Born}}$ factors presented in this table can be used to correct fiducial integrated cross sections from dressed to Born level.

Measured fiducial cross section as a function of the exclusive jet multiplicity, where jets are particle level jets with anti-kt R=0.4. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

The total cross section is measured at dressed level and can also be corrected to Born level use this acceptance correction factor.

Correlation matrix for the total uncertainties, including all sources of systematic and statistical uncertainties, for the differential cross section as a function of the exclusive jet multiplicity.

All correlated systematic relative uncertainties in percent on measured differential cross section as a function of the exclusive jet multiplicity.

Measured fiducial cross section in fb as a function of Yll.

Measured fiducial cross section in fb/GeV as a function of the leading jet pT, PT(JET1).

Measured normalised fiducial cross section as a function of Njet. Jet PT>25 GeV for |eta|<2.4 and PT>30 GeV for 2.4<|eta|<4.5.

Measured normalised fiducial cross section in 1/GeV as a function of pTH.

Measured normalised fiducial cross section as a function of Yll.

Measured normalised fiducial cross section in 1/GeV as a function of the leading jet pT, PT(JET1).

Jet veto efficiency as a function of PT(JET1) pT threshold.

Full correlation matrix for the measured differential cross section as a function of Njet, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured differential cross section as a function of pTH, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured differential cross section as a function of Yll, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured differential cross section as a function of the leading jet pT, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured normalised differential cross section as a function of Njet, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured normalised differential cross section as a function of pTH, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured normalised differential cross section as a function of Yll, taking into account statistical and systematic uncertainties.

Full correlation matrix for the measured normalised differential cross section as a function of the leading jet pT, taking into account statistical and systematic uncertainties.

Fiducial cross section of H+0-jet events in femtobarn for different values of PT(JET1) pT threshold with the uncertainties for each bin given in absolute values and in percent. The asterisk for the 25 GeV column header indicates that the results are for a mixed jet pT threshold, which is raised from 25 GeV to 30 GeV for jets with 2.5 < |eta| < 4.5.

Correction factors from inclusive parton level to fiducial particle level for bins of Njet derived with POWHEG NNLOPS+Pythia8. Uncertainties due to the non-perturbative correction are dominant for the correction factors.

Correction factors from inclusive parton level to fiducial particle level for bins of the leading jet pT derived with POWHEG NNLOPS+Pythia8. Uncertainties due to the non-perturbative correction are dominant for the correction factors.

Correction factors from inclusive parton level to fiducial particle level for the jet-veto efficiency with different jet pT thresholds derived with POWHEG NNLOPS+Pythia8. The asterisk on the 25 GeV bin label indicates that the results are for a mixed pT threshold, which is raised from 25 GeV to 30 GeV for jets with 2.5 < |eta| < 4.5, corresponding to the selection used to define the signal regions for the analysis.

Measured fiducial cross section times leptonic branching ratio for W+ production in the W+ -> mu+ nu final state.

Measured fiducial cross section times leptonic branching ratio for W- production in the W- -> mu- nubar final state.

Measured fiducial cross section times leptonic branching ratio for Z/gamma* production in the Z/gamma* -> mu+ mu- final state.

Measured fiducial cross-section ratios (lepton universality) R_{W} = sigma(W+/- -> e+/- nu/nubar)/sigma (W+/- -> mu+/- nu/nubar) and R_{Z} = sigma (Z/gamma^* -> e+ e-)/sigma (Z/gamma* -> mu+ mu-), and the correlation coefficient.

Measured fiducial cross section times leptonic branching ratio for W+ production in the combined W+ -> l+ nu (l = e, mu) final state.

Measured fiducial cross section times leptonic branching ratio for W- production in the combined W- -> l- nubar (l = e, mu) final state.

Measured fiducial cross section times leptonic branching ratio for W+/- production in the combined W+ -> l+ nu and W- -> l- nubar (l = e, mu) final state.

Measured fiducial cross section times leptonic branching ratio for Z/gamma* production in the combined Z/gamma* -> l+l- (l = e, mu) final state.

Measured total cross section times leptonic branching ratio for W+ production in the W+ -> e+ nu final state.

Measured total cross section times leptonic branching ratio for W- production in the W- -> e- nubar final state.

Measured total cross section times leptonic branching ratio for Z/gamma* production in the Z/gamma* -> e+ e- final state.

Measured total cross section times leptonic branching ratio for W+ production in the W+ -> mu+ nu final state.

Measured total cross section times leptonic branching ratio for W- production in the W- -> mu- nubar final state.

Measured total cross section times leptonic branching ratio for Z/gamma* production in the Z/gamma* -> mu+ mu- final state.

Measured total cross section times leptonic branching ratio for W+ production in the combined W+ -> l+ nu (l = e, mu) final state.

Measured total cross section times leptonic branching ratio for W- production in the combined W- -> l- nubar (l = e, mu) final state.

Measured total cross section times leptonic branching ratio for W+/- production in the combined W+ -> l+ nu and W- -> l- nubar (l = e, mu) final state.

Measured total cross section times leptonic branching ratio for Z/gamma* production in the combined Z/gamma* -> l+ l- (l = e, mu) final state.

Measured fiducial cross-section ratio R_{W+-/Z} = sigma (W+/- -> l+/- nu/nubar) / sigma (Z/gamma^* -> l+ l-) where (l = e, mu).

Measured fiducial cross-section ratio R_{W+/W-} = sigma (W+ -> l+ nu) / sigma (W- -> l- nubar) where (l = e, mu).

Correlation coefficients among (W- -> l- nubar), (W+ -> l+ nu), (Z/gamma^* -> l+ l-) where (l = e, mu) excluding the common normalisation uncertainty due to the luminosity calibration.

The measured fiducial cross sections are corrected to the dressed level. The ratio of $C_{WZ}^{\textrm{dressed}}/C_{WZ}^{\textrm{Born}}$ factors presented in this table can be used to correct fiducial integrated cross sections from dressed to Born level.

Cross section extrapolated to total phase space and all W and Z boson decays. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the theory uncertainty and the third is the luminosity uncertainty.

The total cross section is measured at dressed level and can also be corrected to Born level use this acceptance correction factor.

Ratio of fiducial cross sections measured for $W^{+} Z$ and $W^{-} Z$ production. The first systematic uncertainty is the combined systematic uncertainty excluding the luminosity uncertainty, the second is the luminosity uncertainty.

Observed and expected upper limits at $95\%$ CL in fb on the fiducial cross section $\sigma^{\mathrm{fid.}}_{W^{\pm} Zjj \textrm{-EW} \rightarrow \ell^{'} \nu \ell \ell}$, multiplied by the $W$ and $Z$ branching ratios in a single leptonic channel with muons or electrons in the VBS fiducial phase space. Values obtained with or without subtraction of the $tZj$ contribution are presented. The $1$ $\sigma$ and $2$ $\sigma$ uncertainty intervals around the expected limits are also indicated.

Observed and expected upper limits at $95\%$ CL in fb on the fiducial cross section $\sigma^{\mathrm{fid.}}_{W^{\pm} Zjj \textrm{-EW} \rightarrow \ell^{'} \nu \ell \ell}$, multiplied by the $W$ and $Z$ branching ratios in a single leptonic channel with muons or electrons in the aQGC fiducial phase space. Values obtained with or without subtraction of the $tZj$ contribution are presented. The $1$ $\sigma$ and $2$ $\sigma$ uncertainty intervals around the expected limits are also indicated.

Expected and observed one-dimensional 95% Confidence Level intervals on the anomalous couplings parameters. Anomalous couplings are introduced as form factors using a cut-off scale $\Lambda_{\mathrm{co}}$.

Expected and observed one-dimensional intervals at 95% Confidence Level on the Effective Field Theory (EFT) parameters.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Measured normalised fiducial cross section in all $\ell'^\pm \nu \ell^+ \ell^-$ channels combined, where $\ell, \ell' = e, \mu$. The first systematic uncertainty is the combined systematic uncertainty excluding theory and luminosity uncertainties, the second is the luminosity uncertainty. The last bin is a cross section for all events above the lower end of the bin.

Ratio of $W^{+}Z$ over $W^{-}Z$ differential fiducial cross sections measured in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The last bin is a cross section for all events above the lower end of the bin.

Ratio of $W^{+}Z$ over $W^{-}Z$ differential fiducial cross sections measured in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The last bin is a cross section for all events above the lower end of the bin.

Ratio of $W^{+}Z$ over $W^{-}Z$ differential fiducial cross sections measured in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The last bin is a cross section for all events above the lower end of the bin.

Ratio of $W^{+}Z$ over $W^{-}Z$ differential fiducial cross sections measured in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$. The last bin is a cross section for all events above the lower end of the bin.

Ratio of $W^{+}Z$ over $W^{-}Z$ differential fiducial cross sections measured in all $\ell'^\pm \nu \ell^+ \ell'^-$ channels combined, where $\ell, \ell' = e, \mu$.

Correlation matrix of systematic uncertainties for $\sigma^{\pm}$. The statistical and integrated luminosity uncertainties are not included. The first and the last eleven indices correspond to the systematic uncertainites of $W^+$ ($\sigma^+_{1-11}$) and $W^-$ ($\sigma^-_{1-11}$) cross sections, respectively, in 11 muon pseudorapidity bins. The values are expressed as percentages.

Correlation matrix of statistical uncertainties for $\sigma^{\pm}$. The first and the last eleven indices correspond to the statistical uncertainites of $W^+$ ($\sigma^+_{1-11}$) and $W^-$ ($\sigma^-_{1-11}$) cross sections, respectively, in 11 muon pseudorapidity bins. The values are expressed as percentages.

Correlation matrix of systematic uncertainties for $\mathcal{A}$. The values are expressed as percentages.

The amplitude of the transverse single-spin asymmetry for $W^{+-}$ boson production as a function of $P_T^W$, in the |$y^W$| < 1 region, measured by STAR in proton+proton collisions at $\sqrt{s}=500$ GeV with a recorded luminosity of 25 $pb^{-1}$. The average boson's rapidity value for each $P_T^W$ bin is $y^W=0.0$.

The amplitude of the transverse single-spin asymmetry for $W^{+-}$ boson production as a function of $y^W$, in the 0.5 GeV/c < $P_T^W$ < 10 GeV/c region, measured by STAR in proton+proton collisions at $\sqrt{s}=500$ GeV with a recorded luminosity of 25 $pb^{-1}$. The average boson's transverse-momentum value for each $y^W$-bin is $P_T^W=5.3$ GeV/c.

The amplitude of the transverse single-spin asymmetry for $Z^0$ boson production, measured by STAR in proton+proton collisions at $\sqrt{s}=500$ GeV with a recorded luminosity of 25 $pb^{-1}$.