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. The total (stat. + syst.) uncertainties are considered.

Covariance matrix for the $A_C^{t\bar{t}}$ vs $p_{T,t\bar{t}}$ measurement. The total (stat. + syst.) uncertainties are considered.

Covariance matrix for the $A_C^{t\bar{t}}$ vs $\beta_{z,t\bar{t}}$ measurement. The total (stat. + syst.) uncertainties are considered.

Covariance matrix for the $A_C^{\ell\ell}$ vs $m_{\ell\bar{\ell}}$ measurement. The total (stat. + syst.) uncertainties are considered.

Covariance matrix for the $A_C^{\ell\ell}$ vs $p_{T,\ell\bar{\ell}}$ measurement. The total (stat. + syst.) uncertainties are considered.

Covariance matrix for the $A_C^{\ell\ell}$ vs $\beta_{z,\ell\bar{\ell}}$ measurement. The total (stat. + syst.) uncertainties are considered.

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.

Covariances $c_{ij}$ for the highest ranked systematic uncertainties in the energy asymmetry measurement differential in $\theta_j$.

Definition of the fiducial phase space with lepton candidate ($\ell$), hadronic top candidate ($j_h$), leptonic top candidate ($j_l$) and associated jet candidate ($j_a$).

Bounds on individual Wilson coefficients $C($TeV$/\Lambda)^2$ from the energy asymmetry, obtained from a combined fit to its values in all three $\theta_j$ bins.

$\Lambda_{b}^{0}$ production asymmetry in bins of $\Lambda_{b}^{0}$ $p_T$ for proton-proton collisions with $\sqrt{s} = 8$ TeV. The first uncertainty is statistical and the second represents the systematic uncertainty. The results in neighbouring intervals are correlated.

Covariance matrix of the statistical uncertainty on $\Lambda_{b}^{0}$ production asymmetry in bins of $\Lambda_{b}^{0}$ rapidity for proton-proton collisions with $\sqrt{s} = 7$ TeV.

Covariance matrix of the statistical uncertainty on $\Lambda_{b}^{0}$ production asymmetry in bins of $\Lambda_{b}^{0}$ rapidity for proton-proton collisions with $\sqrt{s} = 8$ TeV.

Covariance matrix of the systematic uncertainty on $\Lambda_{b}^{0}$ production asymmetry in bins of $\Lambda_{b}^{0}$ rapidity for proton-proton collisions with $\sqrt{s} = 7$ TeV.

Covariance matrix of the systematic uncertainty on $\Lambda_{b}^{0}$ production asymmetry in bins of $\Lambda_{b}^{0}$ rapidity for proton-proton collisions with $\sqrt{s} = 8$ TeV.

Measured, normalised distribution of $p_T, y$ from background-subtracted $\Lambda_{b}^{0}$ candidates for $\sqrt{s} = 7$ TeV. Distribution is not corrected for the detector efficiency. Darker areas correspond tp mpre densely populated regions.

Measured, normalised distribution of $p_T, y$ from background-subtracted $\Lambda_{b}^{0}$ candidates for $\sqrt{s} = 8$ TeV. Distribution is not corrected for the detector efficiency. Darker areas correspond tp mpre densely populated regions.

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.

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.

The measured cross-sections for $Wj$ production in four bins of $\eta^{\mu}$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Wj$ production in four bins of $\eta^{\rm jet}$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Wj$ production in five bins of $p^{\rm jet}_T$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Z^0 j$ production in four bins of $y^Z$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Z^0 j$ production in four bins of $\eta^{\rm jet}$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Z^0 j$ production in bins of $p^{\rm jet}_T$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Z^0 j$ production in bins of $|\Delta\phi|$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The correlation matrix for the systematic uncertainties on the $W^+j$ production cross-section measurements presented in Table 1 in bins of $\eta^{\mu}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^-j$ production cross-section measurements presented in Table 1 in bins of $\eta^{\mu}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^+j$ production cross-section measurements presented in Table 5 in bins of $\eta^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^-j$ production cross-section measurements presented in Table 5 in bins of $\eta^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^+j$ production cross-section measurements presented in Table 3 in bins of $p_T^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^-j$ production cross-section measurements presented in Table 3 in bins of $p_T^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $Z^0 j$ production cross-section measurements presented in Table 4 as a function of $y^Z$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $Z^0 j$ production cross-section measurements presented in Table 5 as a function of $\eta^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $Z^0 j$ production cross-section measurements presented in Table 6 as a function of $p_T^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $Z^0 j$ production cross-section measurements presented in Table 7 as a function of $|\Delta\phi|$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^+j$ and $W^-j$ production cross-section measurements presented in Table 1 in bins of $\eta^\mu$. The matrix is used to calculate the ratio and asymmetry of $W^+j$ and $W^-j$ production as a function of $\eta^\mu$.

The correlation matrix for the systematic uncertainties on the $W^+j$, $W^-j$ and $Z^0 j$ production cross-section measurements presented in Tables 2 and 5 in bins of $\eta^{\rm jet}$. The matrix is used to calculate the ratios of $Wj$ to $Z^0 j$ production and the charge ratio and asymmetry of $Wj$ production in the total fiducial region.

Optimised angular observables evaluated by the unbinned maximum likelihood fit. The first uncertainties are statistical and the second systematic.

CP-averaged angular observables evaluated using the method of moments. The first uncertainties are statistical and the second systematic.

CP-asymmetries evaluated using the method of moments. The first uncertainties are statistical and the second systematic.

Optimised observables evaluated using the method of moments. The first uncertainties are statistical and the second systematic.

Zero-crossing points determined with an amplitude fit.

Likelihood correlation matrix $0.1 < q^2 < 0.98~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $1.1 < q^2 < 2.5~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $2.5 < q^2 < 4.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $4.0 <q^2< 6.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $6.0 < q^2 < 8.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $11.0 <q^2< 12.5 ~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $15.0 < q^2 < 17.0 ~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $17.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $1.1 <q^2< 6.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $15.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $0.1 < q^2 < 0.98~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $1.1 < q^2 < 2.5~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $2.5 < q^2 < 4.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $4.0 <q^2< 6.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $6.0 < q^2 < 8.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $11.0 <q^2< 12.5 ~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $15.0 <q^2< 17.0 ~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $17.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $1.1 <q^2< 6.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $15.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $0.1 < q^2 < 0.98~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $1.1 < q^2 < 2.5~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $2.5 < q^2 < 4.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $4.0 <q^2< 6.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $6.0 < q^2 < 8.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $11.0 <q^2< 12.5 ~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $15.0 <q^2< 17.0 ~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $17.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $1.1 <q^2< 6.0~{\rm GeV}^2/c^4$.

Likelihood correlation matrix $15.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $0.10 < q^2 < 0.98~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $1.1 < q^2 < 2.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $2.0 < q^2 < 3.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $3.0 < q^2 < 4.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $4.0 < q^2 < 5.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $5.0 < q^2 < 6.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $6.0 < q^2 < 7.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $7.0 < q^2 < 8.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $11.00 <q^2 < 11.75~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $11.75 <q^2 < 12.50~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $15.0 <q^2 < 16.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $16.0 <q^2 < 17.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $17.0 <q^2 < 18.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $18.0 <q^2 < 19.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $15.0 <q^2 < 19.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $0.10 < q^2 < 0.98~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $1.1 < q^2 < 2.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $2.0 < q^2 < 3.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $3.0 < q^2 < 4.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $4.0 < q^2 < 5.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $5.0 < q^2 < 6.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $6.0 < q^2 < 7.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $7.0 < q^2 < 8.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $11.00 <q^2 < 11.75~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $11.75 <q^2 < 12.50~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $15.0 <q^2 < 16.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $16.0 <q^2 < 17.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $17.0 <q^2 < 18.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $18.0 <q^2 < 19.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $15.0 <q^2 < 19.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $0.1 <q^2 < 0.98~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $1.1 <q^2 < 2.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $2.0 <q^2 < 3.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $3.0 <q^2 < 4.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $4.0 <q^2 < 5.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $5.0 <q^2 < 6.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $6.0 <q^2 < 7.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $7.0 <q^2 < 8.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $11.0 <q^2 < 11.75~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $11.75 <q^2 < 12.5~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $15.0 <q^2 < 16.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $16.0 <q^2 < 17.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $17.0 < q^2 < 18.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $18.0 < q^2 < 19.0~{\rm GeV}^2/c^4$.

Bootstrap correlation matrix $15.0 < q^2 < 19.0~{\rm GeV}^2/c^4$.