Fig. 6b: Number density $N_{\rm ch}$ (left) and $\Sigma p_{\rm T}$ (right) distributions as a function of $p_{\rm T}^{\rm trig}$ in Away and Toward regions after the subtraction of Number density $N_{\rm ch}$ and $\Sigma p_{\rm T}$ distributions in the transverse region for p-Pb collisions for $p_{\rm T} >$ 0.5 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. 7a: $<p_{\rm T}>$ as a function of $p_{\rm T}^{\rm trig}$ in Toward (left) and Away (right) regions after the subtraction of transverse region for pp collisions for $p_{\rm T} >$ 0.5 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. 7b: $<p_{\rm T}>$ as a function of $p_{\rm T}^{\rm trig}$ in Toward (left) and Away (right) regions after the subtraction of transverse region for p-Pb collisions for $p_{\rm T} >$ 0.5 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. A1: Number density $N_{\rm ch}$ (left) and $\Sigma p_{\rm T}$ (right) distributions as a function of $p_{\rm T}^{\rm trig}$ in Transverse, Away, and Toward regions for $p_{\rm T} >$ 0.15 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. A2: Number density $N_{\rm ch}$ (left) and $\Sigma p_{\rm T}$ (right) distributions as a function of $p_{\rm T}^{\rm trig}$ in Transverse, Away, and Toward regions for $p_{\rm T} >$ 1.0 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. A3: Number density $N_{\rm ch}$ (left) and $\Sigma p_{\rm T}$ (right) distributions as a function of $p_{\rm T}^{\rm trig}$ in Transverse, Away, and Toward regions for $p_{\rm T} >$ 0.15 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. A4: Number density $N_{\rm ch}$ (left) and $\Sigma p_{\rm T}$ (right) distributions as a function of $p_{\rm T}^{\rm trig}$ in Transverse, Away, and Toward regions for $p_{\rm T} >$ 1.0 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

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 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 $pb^{-1}$.

$<M_{inv}>$ 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.

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.

The invariant yield versus transverse momentum for |y| < 1 in 0-60% centrality in Au+Au collisions (solid circles). The results are compared to high-$p_T$ (3 < $p_T$ < 10 GeV/c) results from STAR [9] (solid squares) and PHENIX data [8] (open squares). Also shown is the yield in 0-60% centrality Cu+Cu collisions for low $p_T$ (solid triangles) and high $p_T$ [48] (open triangles). The models are described in the text [49, 50]. The $J/\psi$ cross section in p+p collisions is also shown at STAR (stars) and PHENIX [51] (diamonds), and the scale is indicated on the right axis.

The $J/\psi$ nuclear modification factor versus transverse momentum for |y| < 1 and $p_T$ < 5 GeV/c for 0-60% centrality Au+Au collisions (solid circles). The data are compared with STAR high-$p_T$ (5 < $p_T$ < 10 GeV/c) results [9] and PHENIX results [8] in |y| < 0.35 (open squares). The statistical and systematic uncertainties on the baseline $J/\psi$ cross section in p+p collisions are indicated by the hatched and solid bands, respectively. Boxes on the vertical axes represent the uncertainty on $N_{coll}$ combined with the uncertainty on the inelastic cross section in p+p collisions

The $J/\psi$ nuclear modification factor versus transverse momentum for |y| < 1 and $p_T$ < 5 GeV/c for 0-20% centrality Au+Au collisions (solid circles). The data are compared with STAR high-$p_T$ (5 < $p_T$ < 10 GeV/c) results [9] and PHENIX results [8] in |y| < 0.35 (open squares). The statistical and systematic uncertainties on the baseline $J/\psi$ cross section in p+p collisions are indicated by the hatched and solid bands, respectively. Boxes on the vertical axes represent the uncertainty on $N_{coll}$ combined with the uncertainty on the inelastic cross section in p+p collisions

The $J/\psi$ nuclear modification factor versus transverse momentum for |y| < 1 and $p_T$ < 5 GeV/c for 20-40% centrality Au+Au collisions (solid circles). The data are compared with STAR high-$p_T$ (5 < $p_T$ < 10 GeV/c) results [9] and PHENIX results [8] in |y| < 0.35 (open squares). The statistical and systematic uncertainties on the baseline $J/\psi$ cross section in p+p collisions are indicated by the hatched and solid bands, respectively. Boxes on the vertical axes represent the uncertainty on $N_{coll}$ combined with the uncertainty on the inelastic cross section in p+p collisions

The $J/\psi$ nuclear modification factor versus transverse momentum for |y| < 1 and $p_T$ < 5 GeV/c for 40-60% centrality Au+Au collisions (solid circles). The data are compared with STAR high-$p_T$ (5 < $p_T$ < 10 GeV/c) results [9] and PHENIX results [8] in |y| < 0.35 (open squares). The statistical and systematic uncertainties on the baseline $J/\psi$ cross section in p+p collisions are indicated by the hatched and solid bands, respectively. Boxes on the vertical axes represent the uncertainty on $N_{coll}$ combined with the uncertainty on the inelastic cross section in p+p collisions

The $J/\psi$ invariant yield and nuclear modification factor as a function of centrality for |y| < 1 in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $J/\psi$ invariant yield $Bd^2N/(2\pi p_Tdydp_T) [(GeV/c)^{-2}]$ and nuclear modification factor as a function of transverse momentum for |y| < 1 in Cu+Cu collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $J/\psi$ invariant yield and nuclear modification factor for |y| < 1 in Cu+Cu collisions at $\sqrt{s_{NN}}$ = 200 GeV.

$\Delta N_p$ multiplicity distributions in Au+Au collisions at $\sqrt{S_{NN}}=27$ GeV for 0-5 percent, 30-40 percent and 70-80 percent collision centralities at midrapidity.

$\Delta N_p$ multiplicity distributions in Au+Au collisions at $\sqrt{S_{NN}}=39$ GeV for 0-5 percent, 30-40 percent and 70-80 percent collision centralities at midrapidity.

$\Delta N_p$ multiplicity distributions in Au+Au collisions at $\sqrt{S_{NN}}=62.4$ GeV for 0-5 percent, 30-40 percent and 70-80 percent collision centralities at midrapidity.

$\Delta N_p$ multiplicity distributions in Au+Au collisions at $\sqrt{S_{NN}}=200$ GeV for 0-5 percent, 30-40 percent and 70-80 percent collision centralities at midrapidity.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=7.7$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=11.5$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=19.6$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=27$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=39$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=62.4$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=200$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=7.7$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=11.5$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=19.6$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=27$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=39$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=62.4$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=200$ GeV.

Collision energy and centrality dependence of the net-proton $S\sigma$ and $\kappa\sigma^2$ from Au+Au and p+p collisions at RHIC.

Collision energy and centrality dependence of the net-proton $S\sigma$ and $\kappa\sigma^2$ from Au+Au and p+p collisions at RHIC.

Collision energy and centrality dependence of the net-proton $S\sigma$ and $\kappa\sigma^2$ from Au+Au and p+p collisions at RHIC.

Collision energy and centrality dependence of the net-proton $S\sigma$ and $\kappa\sigma^2$ from Au+Au and p+p collisions at RHIC.

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=7.7$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=11.5$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=19.6$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=27$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=39$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=62.4$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=200$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=7.7$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=11.5$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=19.6$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=27$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=39$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=62.4$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=200$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=7.7$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=11.5$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=19.6$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=27$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=39$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=62.4$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=200$ GeV. (efficiency corrected).

The LambdaBar/Lambda ratio at sqrt(s) = 0.9 TeV as a function of rapidity.

The LambdaBar/Lambda ratio at sqrt(s) = 2.76 TeV as a function of pT.

The LambdaBar/Lambda ratio at sqrt(s) = 2.76 TeV as a function of rapidity.

The LambdaBar/Lambda ratio at sqrt(s) = 7 TeV as a function of pT.

The LambdaBar/Lambda ratio at sqrt(s) = 7 TeV as a function of rapidity.

The XiBar+/Xi- ratio at sqrt(s) = 0.9 TeV integrated over rapidity |y|<0.8 as a function of pT.

The XiBar+/Xi- ratio at sqrt(s) = 2.76 TeV integrated over rapidity |y|<0.8 as a function of pT.

The XiBar+/Xi- ratio at sqrt(s) = 7 TeV as a function of pT.

The XiBar+/Xi- ratio at sqrt(s) = 7 TeV as a function of rapidity.

The OmegaBar+/Omega- ratio at sqrt(s) = 2.76 TeV integrated over rapidity |y|<0.8 as a function of pT.

The OmegaBar+/Omega- ratio at sqrt(s) = 7 TeV integrated over rapidity |y|<0.8 as a function of pT.

The pbar/p ratio in pp collisions at sqrt(s) = 7 TeV as a function of the relative charged-particle pseudorapidity density.

The pbar/p ratio in pp collisions at sqrt(s) = 2.76 TeV as a function of the relative charged-particle pseudorapidity density.

The pbar/p ratio in pp collisions at sqrt(s) = 0.9 TeV as a function of the relative charged-particle pseudorapidity density.

The LambdaBar/Lambda ratio in pp collisions at sqrt(s) = 7 TeV as a function of the relative charged-particle pseudorapidity density.

The LambdaBar/Lambda ratio in pp collisions at sqrt(s) = 2.76 TeV as a function of the relative charged-particle pseudorapidity density.

The XiBar+/Xi- ratio in pp collisions at sqrt(s) = 7 TeV as a function of the relative charged-particle pseudorapidity density.