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.

Comparison between data and MC simulation for kinematic distributions based on events in the signal candidate sample for \Delta|y|. The vertical bars on the points show the statistical uncertainty in the data. The shaded bands represent the total uncertainty in the MC predictions. The lower panels give the ratio of the data to the sum of the MC

Comparison between data and MC simulation for \Delta|y| for each of the 12 analysis channels for the low mass region prior to maximum likelihood fit. The vertical bars on the points show the statistical uncertainty in the data. The shaded bands represent the total uncertainty in the MC predictions. The lower panels give the ratio of the data to the sum of the MC

Comparison between data and MC simulation for \Delta|y| for each of the 12 analysis channels for the low mass region after the maximum likelihood fit. The vertical bars on the points show the statistical uncertainty in the data. The shaded bands represent the total uncertainty in the MC predictions. The lower panels give the ratio of the data to the sum of the MC

Comparison between data and MC simulation for \Delta|y| for each of the 12 analysis channels for the high mass region prior to the maximum likelihood fit. The vertical bars on the points show the statistical uncertainty in the data. The shaded bands represent the total uncertainty in the MC predictions. The lower panels give the ratio of the data to the sum of the MC

Comparison between data and MC simulation for \Delta|y| for each of the 12 analysis channels for the high mass region after the maximum likelihood fit. The vertical bars on the points show the statistical uncertainty in the data. The shaded bands represent the total uncertainty in the MC predictions. The lower panels give the ratio of the data to the sum of the MC

Measured A_{C}^{fid} in different mass regions after combining the two lepton channels. The vertical bars on the points show the statistical uncertainty in the data

Measured A_{C} in the full phase space in different mass regions after combining the two lepton channels. The vertical bars on the points show the statistical uncertainty in the data

The +/- standard deviation (\sigma) impacts of the nuisance parameters corresponding to the systematic uncertainties in the full phase space A_{C} measurement for mttbar > 750GeV. The red and blue bars show the effect on the unfolded AC values for up and down variations of the systematic uncertainty. The MC statistical uncertainties are omitted here.

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.

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

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.

ASYM for ETA mesons measured as a function of PT for ABS(XF) > 0.2. Uncertainties listed are those due to the statistics, the PT uncorrelated uncertainties due to extracting ASYM, and the correlated relative luminosity uncertainty.

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.

$E_T^e$ distribution of $W^{\pm}$ candidate events, background contributions, and sum of backgrounds and W -> ev MC signal. This plot is for Positron 0.5<|eta|<1.1.

Signed $P_T$-balance distribution for e+/e- candidates reconstructed in the EEMC.

Distribution of the product of the TPC reconstructed charge sign and $E_T/p_T$.

Distribution of the invariant mass of Z/$\gamma^*$ -> e+ e- candidate events, with MC for comparison.

Longitudinal single-spin asymmetry $A_L$ for W+ production as a function of lepton pseudorapidity.

Longitudinal single-spin asymmetry $A_L$ for W- production as a function of lepton pseudorapidity.

Longitudinal single-spin asymmetry $A_L$ for W+ production as a function of lepton pseudorapidity.

Longitudinal double-spin asymmetry $A_{LL}$ for W+ production as a function of lepton pseudorapidity.

Longitudinal double-spin asymmetry $A_{LL}$ for W- production as a function of lepton pseudorapidity.

Longitudinal double-spin asymmetry $A_{LL}$ for theory $W^{+/-}$ production as a function of lepton pseudorapidity.

ETA ASYM(LL) measurements from 2005.

ETA ASYM(LL) measurements from 2006.

ETA ASYM(LL) measurements from 2009.

Combined PI0 ASYM(LL) values from the PHENIX data sets at sqrt(s) = 200 GeV.

Combined ETA ASYM(LL) values from the PHENIX data sets at sqrt(s) = 200 GeV.

The best fit value of the gluon polarization where the uncertainty is that at a chi-squared value of 9 when considering only statistical experimental uncertainties.

Measurements of the unfolded ASYMC(LEPTON) values in bins of PT(TOP TOPBAR).

Covariance matrix (statistical and systematic uncertainties combined) with the muon $p_{T}>35$ GeV. The units are in $10^{-4}$.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the muon channel for rapidity |y| of 0-1.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the muon channel for rapidity |y| of 1-1.25.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the muon channel for rapidity |y| of 1.25-1.5.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the muon channel for rapidity |y| of 1.5-2.4.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the electron channel for rapidity |y| of 0-1.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the electron channel for rapidity |y| of 1-1.25.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the electron channel for rapidity |y| of 1.25-1.5.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the electron channel for rapidity |y| of 1.5-2.4.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the electron+muon channel for rapidity |y| of 0-1.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the electron+muon channel for rapidity |y| of 1-1.25.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the electron+muon channel for rapidity |y| of 1.25-1.5.

Statistical correlation (in percentage) of the unfolded AFB between the mass bins in the electron+muon channel for rapidity |y| of 1.5-2.4.

Data with tight SPRIME cut.

Data with loose SPRIME cut.

Data with tight SPRIME cut.

Data with tight SPRIME cut.

Forward-Backward Asymmetry with loose SPRIME cuts.

Forward-Backward Asymmetry with tight SPRIME cuts.

Forward-Backward Asymmetry with loose SPRIME cuts.

Forward-Backward Asymmetry with tight SPRIME cuts.

Forward-Backward Asymmetry for tight SPRIME cuts.

Data from 1990 running period.

Data from 1990 running period.

Data from 1991 running period.

Data from 1991 running period.

Data from 1991 running period.

Data from 1991 running period.

Data from 1991 running period.

Data for 1991 running period.

Data for 1991 running period.

Data for 1991 running period.

No description provided.

Value of SIN2TW(eff) from this, and ALEPH data on tau polarization, and quark asymmetries.

No description provided.

No description provided.

No description provided.

Value of SIN2TW from combination of this and other ALEPH data.

sin2tw measured from combined asymmetries.

No description provided.

No description provided.

No description provided.

No description provided.

No description provided.