Normalisation factors for the major background processes and ttW ($\Delta \eta < 0$) from the fit using only statistical uncertainties (fixing Nuisance Parameters (NP) to their fitted values) to data in all analysis regions.

Normalisation factors for the major background processes and ttW ($\Delta \eta < 0$) from the fit using using both statistical and systematic uncertainties to data in all analysis regions.

Correlation matrix between the Normalisation Factors in the fit using only statistical uncertainties (fixing Nuisance Parameters (NP) to their fitted values) to data in all analysis regions.

The most relevant systematic uncertainties ranked by their impact on the leptonic charge asymmetry ($A_c^{\ell}$) parameter at reconstructed level. The impact of the uncertainties is shown before and after the combined profile-likelihood fit to data in the signal and control regions. Pulls introduced by the fitting procedure are also shown. The entries shown in bold are the uncertainties of the freely floating background normalisations. ME stands for "matrix element", PS for "parton shower" and JER for "jet energy resolution". The gamma-uncertainties refer to the MC statistical uncertainties in a specific region and bin.

The most relevant systematic uncertainties ranked by their impact on the ttW Normalisation Factor ($\Delta \eta < 0$) parameter at reconstructed level. The impact of the uncertainties is shown before and after the combined profile-likelihood fit to data in the signal and control regions. Pulls introduced by the fitting procedure are also shown. ME stands for "matrix element", PS for "parton shower" and JER for "jet energy resolution". The gamma-uncertainties refer to the MC statistical uncertainties in a specific region and bin.

The predicted and observed numbers of events in the control and signal regions. The predictions are shown before the fit to data. The indicated uncertainties consider statistical as well as all experimental and theoretical systematic uncertainties. Background categories with event yields with a value of 1.0e-6 have a negligible contribution to the region and are manually set to that value.

The predicted and observed numbers of events in the control and signal regions. The predictions are shown after the fit to data. The indicated uncertainties consider statistical as well as all experimental and theoretical systematic uncertainties. Background categories with event yields with a value of 1.0e-6 have a negligible contribution to the region and are manually set to that value.

The unfolded differential charge asymmetry as a function of the transverse momentum of the top pair system. The measured values are given with statistical and systematic uncertainties. The SM theory predictions calculated at NNLO in QCD and NLO in EW theory are listed. The scale uncertainty is obtained by varying renormalisation and factorisation scales independently by a factor of 2 or 0.5 around $\mu_0$ to calculate the maximum and minimum value of the asymmetry, respectively. The nominal value $\mu_0$ is chosen as $H_T/4$. The variations in which one scale is multiplied by 2 while the other scale is divided by 2 are excluded. Finally, the scale and MC integration uncertainties are added in quadrature.

The unfolded differential charge asymmetry as a function of the longitudinal boost of the top pair system. The measured values are given with statistical and systematic uncertainties. The SM theory predictions calculated at NNLO in QCD and NLO in EW theory are listed. The scale uncertainty is obtained by varying renormalisation and factorisation scales independently by a factor of 2 or 0.5 around $\mu_0$ to calculate the maximum and minimum value of the asymmetry, respectively. The nominal value $\mu_0$ is chosen as $H_T/4$. The variations in which one scale is multiplied by 2 while the other scale is divided by 2 are excluded. Finally, the scale and MC integration uncertainties are added in quadrature.

The unfolded inclusive leptonic asymmetry. The unfolded $A_C^{\ell\bar{\ell}}$ is obtained in the reduced phase-space defined by the requirement $|\Delta |\eta_{\ell\bar{\ell}}||<2.5$. The measured values are given with statistical and systematic uncertainties. The SM theory predictions calculated at NLO in QCD and NLO in EW theory are listed. The theory uncertainty is obtained by varying both scales by a factor of 0.5 or 2.0 to calculate the minimum and maximum value of the asymmetry, respectively.

The unfolded differential leptonic asymmetry as a function of the invariant mass of the di-lepton pair. The unfolded $A_C^{\ell\bar{\ell}}$ is obtained in the reduced phase-space defined by the requirement $|\Delta |\eta_{\ell\bar{\ell}}||<2.5$. The measured values are given with statistical and systematic uncertainties. The SM theory predictions calculated at NLO in QCD and NLO in EW theory are listed. The theory uncertainty is obtained by varying both scales by a factor of 0.5 or 2.0 to calculate the minimum and maximum value of the asymmetry, respectively.

The unfolded differential leptonic asymmetry as a function of the transverse momentum of the di-lepton pair. The unfolded $A_C^{\ell\bar{\ell}}$ is obtained in the reduced phase-space defined by the requirement $|\Delta |\eta_{\ell\bar{\ell}}||<2.5$. The measured values are given with statistical and systematic uncertainties. The SM theory predictions calculated at NLO in QCD and NLO in EW theory are listed. The theory uncertainty is obtained by varying both scales by a factor of 0.5 or 2.0 to calculate the minimum and maximum value of the asymmetry, respectively.

The unfolded differential leptonic asymmetry as a function of the longitudinal boost of the di-lepton pair. The unfolded $A_C^{\ell\bar{\ell}}$ is obtained in the reduced phase-space defined by the requirement $|\Delta |\eta_{\ell\bar{\ell}}||<2.5$. The measured values are given with statistical and systematic uncertainties. The SM theory predictions calculated at NLO in QCD and NLO in EW theory are listed. The theory uncertainty is obtained by varying both scales by a factor of 0.5 or 2.0 to calculate the minimum and maximum value of the asymmetry, respectively.

Individual 68% and 95% CL bounds on the relevant Wilson coefficients of the SM Effective Field Theory in units of $\text{TeV}^{-2}$. The bounds are derived from the $A_C^{t\bar{t}}$ inclusive measurement. The experimental uncertainties are accounted for, in the form of the complete covariance matrix that keeps track of correlations between bins for the differential measurement. The theory uncertainty from the NNLO QCD + NLO EW calculation is included by explicitly varying the renormalization and factorization scales, or the parton density functions, in the calculation and registering the variations in the intervals.

Individual 68% and 95% CL bounds on the relevant Wilson coefficients of the SM Effective Field Theory in units of $\text{TeV}^{-2}$. The bounds are derived from the $A_C^{t\bar{t}}$ vs $m_{t\bar{t}}$ measurement. The experimental uncertainties are accounted for, in the form of the complete covariance matrix that keeps track of correlations between bins for the differential measurement. The theory uncertainty from the NNLO QCD + NLO EW calculation is included by explicitly varying the renormalization and factorization scales, or the parton density functions, in the calculation and registering the variations in the intervals.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ inclusive measurement. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $\beta_{z,t\bar{t}}$ measurement for $\beta_{z,t\bar{t}}$ $\in$ [0,0.3]. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $\beta_{z,t\bar{t}}$ measurement for $\beta_{z,t\bar{t}}$ $\in$ [0.3,0.6]. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $\beta_{z,t\bar{t}}$ measurement for $\beta_{z,t\bar{t}}$ $\in$ [0.6,0.8]. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $\beta_{z,t\bar{t}}$ measurement for $\beta_{z,t\bar{t}}$ $\in$ [0.8,1]. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $m_{t\bar{t}}$ measurement for $m_{t\bar{t}}$ < 500 GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $m_{t\bar{t}}$ measurement for $m_{t\bar{t}}$ $\in$ [500,750] GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $m_{t\bar{t}}$ measurement for $m_{t\bar{t}}$ $\in$ [750,1000] GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $m_{t\bar{t}}$ measurement for $m_{t\bar{t}}$ $\in$ [1000,1500] GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $m_{t\bar{t}}$ measurement for $m_{t\bar{t}}$ > 1500 GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $p_{T,t\bar{t}}$ measurement for $p_{T,t\bar{t}}$ < 30 GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $p_{T,t\bar{t}}$ measurement for $p_{T,t\bar{t}}$ $\in$ [30,120] GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{t\bar{t}}$ vs $p_{T,t\bar{t}}$ measurement for $p_{T,t\bar{t}}$ > 120 GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ inclusive measurement. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $\beta_{z,\ell\bar{\ell}}$ measurement for $\beta_{z,\ell\bar{\ell}}$ $\in$[0,0.3]. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $\beta_{z,\ell\bar{\ell}}$ measurement for $\beta_{z,\ell\bar{\ell}}$ $\in$[0.3,0.6]. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $\beta_{z,\ell\bar{\ell}}$ measurement for $\beta_{z,\ell\bar{\ell}}$ $\in$[0.6,0.8]. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $\beta_{z,\ell\bar{\ell}}$ measurement for $\beta_{z,\ell\bar{\ell}}$ $\in$[0.8,1]. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $m_{\ell\bar{\ell}}$ measurement for $m_{\ell\bar{\ell}}$ < 200 GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $m_{\ell\bar{\ell}}$ measurement for $m_{\ell\bar{\ell}}$ $\in$ [200,300] GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $m_{\ell\bar{\ell}}$ measurement for $m_{\ell\bar{\ell}}$ $\in$ [300,400] GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $m_{\ell\bar{\ell}}$ measurement for $m_{\ell\bar{\ell}}$ > 400 GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $p_{T,\ell\bar{\ell}}$ measurement for $p_{T,\ell\bar{\ell}}$ < 20 GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $p_{T,\ell\bar{\ell}}$ measurement for $p_{T,\ell\bar{\ell}}$ $\in$ [20, 70] GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Ranking of the systematic uncertainties with marginalisation for the $A_C^{\ell\ell}$ vs $p_{T,\ell\bar{\ell}}$ measurement for $p_{T,\ell\bar{\ell}}$ > 70 GeV. The effect on unfolded $A_C$ for down and up variation of the systematic uncertainty is shown, respectively. The pulls and constraints of the ranked NPs are obtained from data.

Post-marginalisation correlation coefficients $\rho_{ij}$ of nuisance parameters for the $A_C^{t\bar{t}}$ inclusive measurement. Only $|\rho_{ij}| > 0.05$ values are included.

Post-marginalisation correlation coefficients $\rho_{ij}$ of nuisance parameters for the $A_C^{t\bar{t}}$ vs $m_{t\bar{t}}$ measurement. Only $|\rho_{ij}| > 0.05$ values are included.

Post-marginalisation correlation coefficients $\rho_{ij}$ of nuisance parameters for the $A_C^{t\bar{t}}$ vs $p_{T,t\bar{t}}$ measurement. Only $|\rho_{ij}| > 0.05$ values are included.

Post-marginalisation correlation coefficients $\rho_{ij}$ of nuisance parameters for the $A_C^{t\bar{t}}$ vs $\beta_{z,t\bar{t}}$ measurement. Only $|\rho_{ij}| > 0.05$ values are included.

Post-marginalisation correlation coefficients $\rho_{ij}$ of nuisance parameters for the $A_C^{\ell\ell}$ inclusive measurement. Only $|\rho_{ij}| > 0.05$ values are included.

Post-marginalisation correlation coefficients $\rho_{ij}$ of nuisance parameters for the $A_C^{\ell\ell}$ vs $m_{\ell\bar{\ell}}$ measurement. Only $|\rho_{ij}| > 0.05$ values are included.

Post-marginalisation correlation coefficients $\rho_{ij}$ of nuisance parameters for the $A_C^{\ell\ell}$ vs $p_{T,\ell\bar{\ell}}$ measurement. Only $|\rho_{ij}| > 0.05$ values are included.

Post-marginalisation correlation coefficients $\rho_{ij}$ of nuisance parameters for the $A_C^{\ell\ell}$ vs $\beta_{z,\ell\bar{\ell}}$ measurement. Only $|\rho_{ij}| > 0.05$ values are included.

Covariance matrix for the $A_C^{t\bar{t}}$ vs $m_{t\bar{t}}$ measurement.

Covariance matrix for the $A_C^{t\bar{t}}$ vs $p_{T,t\bar{t}}$ measurement.

Covariance matrix for the $A_C^{t\bar{t}}$ vs $\beta_{z,t\bar{t}}$ measurement.

Covariance matrix for the $A_C^{\ell\ell}$ vs $m_{\ell\bar{\ell}}$ measurement.

Covariance matrix for the $A_C^{\ell\ell}$ vs $p_{T,\ell\bar{\ell}}$ measurement.

Covariance matrix for the $A_C^{\ell\ell}$ vs $\beta_{z,\ell\bar{\ell}}$ measurement.

The fraction of photon-induced background as compared with the total amount of DY signal plus photon-induced events ($N_{\gamma\gamma}/(N_{\gamma\gamma} + N_\mathrm{DY})$) in different dilepton mass bins. These numbers are averaged across the different years and channels.

Exclusion limits at 95% CL on the coupling K_L for a Z' in the sequential standard model as a function of the Z' mass.

Distribution of the three leading leptons flavour in the SR-WZ with uncertainties evaluated after the inclusive cross section fit

Efficiency, acceptance, and proportion of events with leptonic tau decays in WZ production

WZ fiducial cross section in the four flavour exclusive and the flavour inclusive channels

WZ total cross section extrapolated from the four flavour exclusive and the flavour inclusive channels

Distribution of the total lepton charge in the SR-WZ with uncertainties evaluated after the inclusive cross section fit

W$^{+}$Z fiducial cross section in the four flavour exclusive and the flavour inclusive channels

W$^{-}$Z fiducial cross section in the four flavour exclusive and the flavour inclusive channels

WZ charge asymmetry ratio measured on each of the four flavour exclusive and the flavour inclusive channels

Distribution of the cosine of the W polarization angle times total lepton charge in the SR-WZ with uncertainties evaluated after the W polarization fit

Distribution of the cosine of the Z polarization angle in the SR-WZ with uncertainties evaluated after the Z polarization fit

Best fits to the W and Z polarization fractions

2D confidence regions at the 68, 95, and 99% CL in the $f_O^W$-$f_{L}^W-f_R^W$ plane

2D confidence regions at the 68, 95, and 99% CL in the $f_O^Z$-$f_{L}^Z-f_R^Z$ plane

Distribution of the invariant mass of the WZ system in the SR-WZ with uncertainties evaluated after the inclusive cross section fit

Best fit values and one dimensional confidence regions in several EFT coefficients obtained from the EFT fit considering both the SM interferences and purely BSM (order $\Lambda^{-2}$ and $\Lambda^{-4}$) terms

2D confidence regions at the 68, 95, and 99% CL in the $c_{www}$-$c_{w}$ plane

2D confidence regions at the 68, 95, and 99% CL in the $c_{w}$-$c_{b}$ plane

2D confidence regions at the 68, 95, and 99% CL in the $c_{www}$-$c_{w}$ plane

Best fit values and one dimensional confidence regions in several EFT coefficients obtained from the EFT fit considering only the SM-EFT interference (order $\Lambda^{-2}$) terms

Evolution of the best fit and expected and observed 95% CI for the $c_{w}$ parameter as a function of the cutoff scale

Evolution of the best fit and expected and observed 95% CI for the $c_{b}$ parameter as a function of the cutoff scale

Evolution of the best fit and expected and observed 95% CI for the $c_{www}$ parameter as a function of the cutoff scale

Evolution of the best fit and expected and observed 95% CI for the $\tilde{c}_{www}$ parameter as a function of the cutoff scale

Evolution of the best fit and expected and observed 95% CI for the $\tilde{c}_{w}$ parameter as a function of the cutoff scale

Differential cross section with respect to the transverse momentum of the Z boson

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the $p_{T}$ of the Z boson

Response matrix for the $p_{T}$ of the Z boson obtained with POWHEG

Differential cross section with respect to the transverse momentum of the leading jet

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the $p_{T}$ of the leading jet

Response matrix for the $p_{T}$ of the leading jet obtained with POWHEG

Differential cross section with respect to the jet multiplicity

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the jet multiplicity

Response matrix for the jet multiplicity obtained with POWHEG

Differential cross section with respect to the invariant mass of the WZ system

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the invariant mass of the WZ system

Response matrix for the invariant mass of the WZ system obtained with POWHEG

Differential cross section with respect to the transverse momentum of the lepton associated to the W boson

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the $p_{T}$ of the lepton associated to the W boson

Response matrix for the $p_{T}$ of the lepton associated to the W boson obtained with POWHEG

Differential cross section with respect to the transverse momentum of the lepton associated to the W boson, W$^{+}$Z only

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the $p_{T}$ of the lepton associated to the W boson, W$^{+}$Z only

Differential cross section with respect to the transverse momentum of the lepton associated to the W boson, W$^{-}$Z only

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the $p_{T}$ of the lepton associated to the W boson, W$^{-}$Z only

Differential cross section with respect to the cosine of the W polarization angle times total lepton charge

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the cosine of the W polarization angle times total lepton charge

Response matrix for the cosine of the W polarization angle times total lepton charge obtained with POWHEG

Differential cross section with respect to the cosine of the W polarization angle times total lepton charge, W$^{+}$Z only

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the cosine of the W polarization angle times total lepton charge, W$^{+}$Z only

Differential cross section with respect to the cosine of the W polarization angle times total lepton charge, W$^{-}$Z only

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the cosine of the W polarization angle times total lepton charge, W$^{-}$Z only

Differential cross section with respect to the cosine of the Z polarization angle

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the cosine of the Z polarization angle

Response matrix for the cosine of the Z polarization angle obtained with POWHEG

Differential cross section with respect to the cosine of the Z polarization angle, W$^{+}$Z only

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the cosine of the Z polarization angle, W$^{+}$Z only

Differential cross section with respect to the cosine of the Z polarization angle, W$^{-}$Z only

Correlation matrix for the unfolded results obtained using NNLO bias, area con-straint, and no additional regularization for the cosine of the Z polarization angle, W$^{-}$Z only

Parton dijet $M_{inv}$ vs $A_{LL}$ values with associated uncertainties, for topology C.

Parton dijet $M_{inv}$ vs $A_{LL}$ values with associated uncertainties, for topology D.

The correlation matrix for the point-to-point uncertainties (statistical and systematics) for the inclusive jet measurements.The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (statistical and systematics) for the inclusive jet measurements coupling with the forward-forward dijet measurements (topology A). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (statistical and systematics) for the inclusive jet measurements coupling with the forward-forward dijet measurements (topology B). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (statistical and systematics) for the inclusive jet measurements coupling with the forward-forward dijet measurements (topology C). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (statistical and systematics) for the inclusive jet measurements coupling with the forward-forward dijet measurements (topology D). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) for forward-forward dijet measurements (topology A). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology A) with forward-central dijet measurements (topology B). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology A) with forward-central dijet measurements (topology C). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology A) with forward-central dijet measurements (topology D). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) for forward-forward dijet measurements (topology B). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology B) with forward-central dijet measurements (topology C). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology B) with forward-central dijet measurements (topology D). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) for forward-forward dijet measurements (topology C). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology C) with forward-central dijet measurements (topology D). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) for forward-forward dijet measurements (topology D). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

Parton inclusive-jet $p_T$ and $A_{LL}$ values with associated uncertainties for jet-$\eta$ region $0.5<|\eta|<1$.

Parton inclusive-jet $p_T$ and $A_{LL}$ values with associated uncertainties for jet-$\eta$ region $|\eta|<0.5$.

Parton dijet invariant mass $M_{inv}$ and $A_{LL}$ values with associated uncertainties for the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology.

Parton dijet invariant mass $M_{inv}$ and $A_{LL}$ values with associated uncertainties for the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology.

Parton inclusive-jet $p_T$, $x_T$, and $A_{LL}$ values with associated uncertainties for jet-$\eta$ region $|\eta|<1$.

The correlation matrix for the point-to-point uncertainties for inclusive jet measurements with jets in the $0.5<|\eta|<1$ region. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties for inclusive jet measurements with jets in the $|\eta|<0.5$ region. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties for inclusive jet measurements with jets in the $|\eta|<1$ region. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $|\eta|<0.5$ region and jets in the $0.5<|\eta|<1$ region. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $0.5<|\eta|<1$ region with dijet measurements with the the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $0.5<|\eta|<1$ region with dijet measurements with the the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $|\eta|<0.5$ region with dijet measurements with the the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $|\eta|<0.5$ region with dijet measurements with the the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $|\eta|<1$ region with dijet measurements with the the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $|\eta|<1$ region with dijet measurements with the the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties for dijet measurements with the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties for dijet measurements with the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling dijet measurements with the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology and the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

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

Covariance of the differential absolute cross section as a function of the parton-level top quark rapidity

Differential absolute cross section as a function of the parton-level charged lepton $p_\textrm{T}$

Covariance of the differential absolute cross section as a function of the parton-level charged lepton $p_\textrm{T}$

Differential absolute cross section as a function of the parton-level charged lepton rapidity

Covariance of the differential absolute cross section as a function of the parton-level charged lepton rapidity

Differential absolute cross section as a function of the parton-level W boson $p_\textrm{T}$

Covariance of the differential absolute cross section as a function of the parton-level W boson $p_\textrm{T}$

Differential absolute cross section as a function of the parton-level cosine of the top quark polarisation angle

Covariance of the differential absolute cross section as a function of the parton-level cosine of the top quark polarisation angle

Differential absolute cross section as a function of the particle-level top quark $p_\textrm{T}$

Covariance of the differential absolute cross section as a function of the particle-level top quark $p_\textrm{T}$

Differential absolute cross section as a function of the particle-level top quark rapidity

Covariance of the differential absolute cross section as a function of the particle-level top quark rapidity

Differential absolute cross section as a function of the particle-level charged lepton $p_\textrm{T}$

Covariance of the differential absolute cross section as a function of the particle-level charged lepton $p_\textrm{T}$

Differential absolute cross section as a function of the particle-level charged lepton rapidity

Covariance of the differential absolute cross section as a function of the particle-level charged lepton rapidity

Differential absolute cross section as a function of the particle-level W boson $p_\textrm{T}$

Covariance of the differential absolute cross section as a function of the particle-level W boson $p_\textrm{T}$

Differential absolute cross section as a function of the particle-level cosine of the top quark polarisation angle

Covariance of the differential absolute cross section as a function of the particle-level cosine of the top quark polarisation angle

Differential normalised cross section as a function of the parton-level top quark $p_\textrm{T}$

Covariance of the differential normalised cross section as a function of the parton-level top quark $p_\textrm{T}$

Differential normalised cross section as a function of the parton-level top quark rapidity

Covariance of the differential normalised cross section as a function of the parton-level top quark rapidity

Differential normalised cross section as a function of the parton-level charged lepton $p_\textrm{T}$

Covariance of the differential normalised cross section as a function of the parton-level charged lepton $p_\textrm{T}$

Differential normalised cross section as a function of the parton-level charged lepton rapidity

Covariance of the differential normalised cross section as a function of the parton-level charged lepton rapidity

Differential normalised cross section as a function of the parton-level W boson $p_\textrm{T}$

Covariance of the differential normalised cross section as a function of the parton-level W boson $p_\textrm{T}$

Differential normalised cross section as a function of the parton-level cosine of the top quark polarisation angle

Covariance of the differential normalised cross section as a function of the parton-level cosine of the top quark polarisation angle

Differential normalised cross section as a function of the particle-level top quark $p_\textrm{T}$

Covariance of the differential normalised cross section as a function of the particle-level top quark $p_\textrm{T}$

Differential normalised cross section as a function of the particle-level top quark rapidity

Covariance of the differential normalised cross section as a function of the particle-level top quark rapidity

Differential normalised cross section as a function of the particle-level charged lepton $p_\textrm{T}$

Covariance of the differential normalised cross section as a function of the particle-level charged lepton $p_\textrm{T}$

Differential normalised cross section as a function of the particle-level charged lepton rapidity

Covariance of the differential normalised cross section as a function of the particle-level charged lepton rapidity

Differential normalised cross section as a function of the particle-level W boson $p_\textrm{T}$

Covariance of the differential normalised cross section as a function of the particle-level W boson $p_\textrm{T}$

Differential normalised cross section as a function of the particle-level cosine of the top quark polarisation angle

Covariance of the differential normalised cross section as a function of the particle-level cosine of the top quark polarisation angle

Differential charge ratio as a function of the parton-level top quark $p_\textrm{T}$

Covariance of the differential charge ratio as a function of the parton-level top quark $p_\textrm{T}$

Differential charge ratio as a function of the parton-level top quark rapidity

Covariance of the differential charge ratio as a function of the parton-level top quark rapidity

Differential charge ratio as a function of the parton-level charged lepton $p_\textrm{T}$

Covariance of the differential charge ratio as a function of the parton-level charged lepton $p_\textrm{T}$

Differential charge ratio as a function of the parton-level charged lepton rapidity

Covariance of the differential charge ratio as a function of the parton-level charged lepton rapidity

Differential charge ratio as a function of the parton-level W boson $p_\textrm{T}$

Covariance of the differential charge ratio as a function of the parton-level W boson $p_\textrm{T}$

Differential charge ratio as a function of the particle-level top quark $p_\textrm{T}$

Covariance of the differential charge ratio as a function of the particle-level top quark $p_\textrm{T}$

Differential charge ratio as a function of the particle-level top quark rapidity

Covariance of the differential charge ratio as a function of the particle-level top quark rapidity

Differential charge ratio as a function of the particle-level charged lepton $p_\textrm{T}$

Covariance of the differential charge ratio as a function of the particle-level charged lepton $p_\textrm{T}$

Differential charge ratio as a function of the particle-level charged lepton rapidity

Covariance of the differential charge ratio as a function of the particle-level charged lepton rapidity

Differential charge ratio as a function of the particle-level W boson $p_\textrm{T}$

Covariance of the differential charge ratio as a function of the particle-level W boson $p_\textrm{T}$

Top quark spin asymmetry at the parton level in the muon and electron channel and their combination

Forward-backward ratio, $N_{\mu}(+\eta_{\textrm{CM}})/N_{\mu}(-\eta_{\textrm{CM}})$, for the negatively charged muons, as a function of the muon pseudorapidity in the centre-of-mass frame.

Forward-backward ratio, $N_{\mu}(+\eta_{\textrm{CM}})/N_{\mu}(-\eta_{\textrm{CM}})$, for the positively charged muons, as a function of the muon pseudorapidity in the centre-of-mass frame.

Forward-backward ratio, $N_{\mu}(+\eta_{\textrm{CM}})/N_{\mu}(-\eta_{\textrm{CM}})$, for muons of both signs, as a function of the muon pseudorapidity in the centre-of-mass frame.

The covariance matrix of the W boson differential cross section measurements. Each bin is labeled mi_i or pl_i, where mi stands for $W^{-} \to \mu^{-} \bar{\nu}$ channel and pl for $W^{+} \to \mu^{+} \nu$ channel, and 0 <= i <= 23 is the bin number in $\eta_{\textrm{CM}}$ (from -2.86 - -2.60 to 1.80 - 1.93). The global normalisation uncertainty of 3.5% is included. Data from Figure 2.

The particle-level di-jet differential cross section. The systematic uncertainty on the data contains contributions from track finding efficiency, track transverse momentum resolution, calorimeter energy resolution, and unfolding uncertainties. For the theory, values are given for the underlying event and hadronization (UEH) correction uncertainty and the quadrature sum of the UEH and theoretical uncertainties. Both the UEH and theoretical uncertainties include contributions from factorization and renormalization scale uncertainties and PDF uncertainties. An 8.8% uncertainty common to all points due to the integrated luminosity determination is also present, but not included in the systematic values quoted below.

Values of gluon X1 and X2 obtained from the PYTHIA detector-level simulation for the same-sign di-jet topology compared to the gluon X distribution for inclusive jets. The inclusive distribution has been scaled down by a factor of 20 compared to the di-jet distributions.

Values of gluon X1 and X2 obtained from the PYTHIA detector-level simulation for the opposite-sign di-jet topology compared to the gluon X distribution for inclusive jets. The inclusive distribution has been scaled down by a factor of 20 compared to the di-jet distributions.

Di-jet A_LL asymmetry vs parton-level invariant mass for the same-sign di-jet topology. The systematic uncertainty on the mass includes contributions from jet energy scale, the correction to parton-level, and the difference between NLO and PYTHIA cross sections. The systematic uncertainty on the asymmetry includes contributions from trigger and reconstruction bias and residual transverse beam polarization components. A 6.5% uncertainty common to all points due to uncertainty on the measured beam polarizations is also present, but not included in the uncertainties quoted below.

Theoretical predictions for the di-jet A_LL asymmetry for the same-sign topology using the DSSV14 and NNPDFpol1.1 polarized PDF sets. The DSSV14 prediction is presented without uncertainty while the systematic uncertainty on the NNPDFpol1.1 prediction contains contributions from factorization and renormalization scale uncertainties and PDF uncertainties.

Di-jet A_LL asymmetry vs parton-level invariant mass for the opposite-sign di-jet topology. The systematic uncertainty on the mass includes contributions from jet energy scale, the correction to parton-level, and the difference between NLO and PYTHIA cross sections. The systematic uncertainty on the asymmetry includes contributions from trigger and reconstruction bias and residual transverse beam polarization components. A 6.5% uncertainty common to all points due to uncertainty on the measured beam polarizations is also present, but not included in the uncertainties quoted below.

Theoretical predictions for the di-jet A_LL asymmetry for the opposite-sign topology using the DSSV14 and NNPDFpol1.1 polarized PDF sets. The DSSV14 prediction is presented without uncertainty while the systematic uncertainty on the NNPDFpol1.1 prediction contains contributions from factorization and renormalization scale uncertainties and PDF uncertainties.

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.

Unfolded measurements of AFB in each M-|y| bin (e+e-).

Covariance matrix of Drell-Yan AFB in muon channel for |y|<1 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for |y|<1 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for |y|<1 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for |y|<1 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1<|y|<1.25 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1<|y|<1.25 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1<|y|<1.25 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1<|y|<1.25 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.25<|y|<1.5 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.25<|y|<1.5 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.25<|y|<1.5 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.25<|y|<1.5 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.5<|y|<2.4 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.5<|y|<2.4 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.5<|y|<2.4 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.5<|y|<2.4 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for |y|<1 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for |y|<1 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for |y|<1 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for |y|<1 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1<|y|<1.25 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1<|y|<1.25 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1<|y|<1.25 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1<|y|<1.25 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.25|y|<1.5 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.25|y|<1.5 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.25|y|<1.5 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.25|y|<1.5 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.5<|y|<2.4 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.5<|y|<2.4 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.5<|y|<2.4 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.5<|y|<2.4 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 2.4<|y|<5 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 2.4<|y|<5 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 2.4<|y|<5 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 2.4<|y|<5 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

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 $pb^{-1}$.

The asymmetry $A_{\mu}$ extracted from the differential cross sections.

Correlation matrix for the asymmetries as a function of $p_\text{T}^\mathrm{t\bar{t}}$ in the fiducial phase space. Both statistical and systematic effects are considered.

Corrected asymmetry as a function of $m_\mathrm{t\bar{t}}$ in the fiducial phase space, using three bins in $m_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity. The correlation matrix for these values can be found in a separate table.

Correlation matrix for the asymmetries as a function of $m_\mathrm{t\bar{t}}$ in the fiducial phase space, using three bins in $m_\mathrm{t\bar{t}}$. Both statistical and systematic effects are considered.

Corrected asymmetry as a function of $m_\mathrm{t\bar{t}}$ in the fiducial phase space, using six bins in $m_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity. The correlation matrix for these values can be found in a separate table.

Correlation matrix for the asymmetries as a function of $m_\mathrm{t\bar{t}}$ in the fiducial phase space, using six bins in $m_\mathrm{t\bar{t}}$. Both statistical and systematic effects are considered.

Corrected asymmetry as a function of $|y_\mathrm{t\bar{t}}|$ in the full phase space. The value 9999 is used as a placeholder for infinity. The correlation matrix for these values can be found in a separate table.

Correlation matrix for the asymmetries as a function of $|y_\mathrm{t\bar{t}}|$ in the full phase space. Both statistical and systematic effects are considered.

Corrected asymmetry as a function of $p_\text{T}^\mathrm{t\bar{t}}$ in the full phase space. The value 9999 is used as a placeholder for infinity. The correlation matrix for these values can be found in a separate table.

Correlation matrix for the asymmetries as a function of $p_\text{T}^\mathrm{t\bar{t}}$ in the full phase space. Both statistical and systematic effects are considered.

Corrected asymmetry as a function of $m_\mathrm{t\bar{t}}$ in the full phase space, using three bins in $m_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity. The correlation matrix for these values can be found in a separate table.

Correlation matrix for the asymmetries as a function of $m_\mathrm{t\bar{t}}$ in the full phase space, using three bins in $m_\mathrm{t\bar{t}}$. Both statistical and systematic effects are considered.

Corrected asymmetry as a function of $m_\mathrm{t\bar{t}}$ in the full phase space, using six bins in $m_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity. The correlation matrix for these values can be found in a separate table.

Correlation matrix for the asymmetries as a function of $m_\mathrm{t\bar{t}}$ in the full phase space, using six bins in $m_\mathrm{t\bar{t}}$. Both statistical and systematic effects are considered.

The slope parameter r as a function of centrality for collision energy of 200 GeV.

The slope parameter r as a function of centrality for collision energy of 62.4 GeV.

The slope parameter r as a function of centrality for collision energy of 39 GeV.

The slope parameter r as a function of centrality for collision energy of 27 GeV.

The slope parameter r as a function of centrality for collision energy of 19.6 GeV.

The slope parameter r as a function of centrality for collision energy of 11.5 GeV.

The slope parameter r as a function of centrality for collision energy of 7.7 GeV.

$<M_{inv}>$ asymmetries, $\eta$ > 0, maximum opening angle 0.2.

$p_T$ asymmetries, $\eta$ < 0, maximum opening angle 0.3.

$<M_{inv}>$ asymmetries, $\eta$ < 0, maximum opening angle 0.3.

$p_T$ asymmetries, $\eta$ > 0,maximum opening angle 0.3.

$<M_{inv}>$ asymmetries, $\eta$ > 0, maximum opening angle 0.3.

$p_T$ asymmetries, $\eta$ < 0, maximum opening angle 0.4.

$<M_{inv}>$ asymmetries, $\eta$ < 0, maximum opening angle 0.4.

$p_T$ asymmetries, $\eta$ > 0, maximum opening angle 0.4.

$<M_{inv}>$ asymmetries, $\eta$ > 0, maximum opening angle 0.4.

$\eta$ asymmetries, maximum opening angle 0.2.

$\eta$ asymmetries, maximum opening angle 0.3.

$\eta$ asymmetries, maximum opening angle 0.4.

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.

Inclusive jet $A_{LL}$ vs. parton jet $p_T$ for 0.5<|eta|<1.0.

The uncertainties on the parton jet pT values are strongly correlated across the bins. The point-to-point statistical and systematic uncertainties on the measured A_LL values given above are only weakly correlated among the bins. The correlation matrix for the quadrature sum of the point-to-point statistical and systematic uncertainties is given below. In that matrix, the order of the rows and columns matches the bin numbering above. In addition to the point-to-point statistical and systematic uncertainties, there are two systematic uncertainties that are common to all the measured A_LL values (and not included in the systematic uncertainty numbers quoted above): (a) +/-0.0005 vertical shift uncertainty from relative luminosity and (b) +/-6.5% vertical scale uncertainty from polarization.

$A_{LL}$ model predictions for |eta|<0.5.

$A_{LL}$ model predictions for 0.5<|eta|<1.0.