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 $pb^{-1}$.

Upper limits at 95% CL on the gluon-gluon fusion cross section for a heavy Higgs boson as a function of its mass and its width relative to a SM-like Higgs boson.

Upper limits at 95% CL on the VBF cross section for a heavy Higgs boson as a function of its mass and its width relative to a SM-like Higgs boson.

Forward-backward asymmetry, $N_{\ell}(+\eta_{\textrm{lab}})/ N_{\ell}(-\eta_{\textrm{lab}})$, for the negative leptons.

Forward-backward asymmetry, $N_{\ell}(+\eta_{\textrm{lab}})/ N_{\ell}(-\eta_{\textrm{lab}})$, for the positive leptons.

Forward-backward asymmetry, $N_{\ell}(+\eta_{\textrm{lab}})/ N_{\ell}(-\eta_{\textrm{lab}})$, for the charged-summed W bosons, as a function of the lepton pseudorapidity.