Directed flow for $\pi^{+}$ and $\pi^{-}$ versus rapidity for intermediate-centrality (10-40$\%$) Au+Au collisions at $\sqrt{s_{NN}}$ = 200, 62.4, 39, 27, 19.6, 11.5 and 7.7 GeV. Errors are statistical only.

Directed flow slope $dv_{1}/dy$ of protons, antiprotons and $\pi^{\pm}$ near midrapidity versus beam energy for intermediate-centrality (10-40$\%$) Au+Au collisions.

Directed flow slope $dv_{1}/dy$ of net-protons near midrapidity versus beam energy for intermediate-centrality (10-40$\%$) Au+Au collisions. Datapoints for protons and antiprotons can be found in Table5.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV for the $\eta$ mass region.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV for the charm + $ ho^0$ mass region.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV for the $\omega$ mass region.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV for the $\phi$ mass region.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV for the charm + thermal radiation mass region.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV expected from decays of a mesonic cocktail.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV expected from decays of a mesonic cocktail.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV expected from decays of a mesonic cocktail.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV expected from decays of a mesonic cocktail.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV expected from decays of a mesonic cocktail.

The dielectron $v_2$ as a function of $p_T$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV expected from the $car{c}$ contribution.

The $p_T$-integrated dielectron $v_2$ as a function of $M_{ee}$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The $v_2$ of hadrons $\pi$, $K$, $p$, $\phi$ and $\Lambda$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV for the $\pi^0$ mass region.

The $p_T$-integrated dielectron $v_2$ as a function of $M_{ee}$ in minimum-bias Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, expected from the decays of $\pi^0$, $\eta$, $\omega$ and $\phi$ and from the $car{c}$ contribution.

Sample fit projections onto the $q_{out}$, $q_{side}$, and $q_{long}$ axes respectively for four angular bins relative to the reaction. These projections are from results for 10-20% central, 19.6 GeV Au+Au collisions with 0.15 < $k_T$ < 0.6 GeV/c.

Energy dependence of the HBT parameters for central Au+Au, Pb+Pb, and Pb+Au collisions at mid-rapidity and $\langle k_T \rangle \approx 0.22$ GeV/c. Errors on NA44, NA49, WA98, and CERES, points include systematic errors.The systematic errors for STAR points at all energies (from Table II) are of similar size to error bar for 39 GeV, shown as a representative example. Errors on other results are statistical only, to emphasize the trend.

The $\langle m_T \rangle$ dependence of $R_{out}$, $R_{side}$ and $R_{long}$ for all energies at 0-5% centrality. Errors are statistical only. These plot shows the difference (between $R_{out}$ and $R_{side}$) and the ratio $R_{out}$ / $R_{side}$ respectively.

The $\langle m_T \rangle$ dependence of $R_{out}$, $R_{side}$ and $R_{long}$ for each energy and multiple centralities. Errors are statistical only.

The dependence of the HBT radii on multiplicity,$\langle dN_{ch}/d\eta \rangle^{1/3}$, for $k_T\approx 0.22$ GeV/c and$k_T\approx 0.39$ GeV/c. Results are for Au+Au collisions at STAR at 7 GeV. Errors are statistical only.

The dependence of the HBT radii on multiplicity,$\langle dN_{ch}/d\eta \rangle^{1/3}$, for $k_T\approx 0.22$ GeV/c and$k_T\approx 0.39$ GeV/c. Results are for Au+Au collisions at STAR at 11.5 GeV. Errors are statistical only.

The dependence of the HBT radii on multiplicity,$\langle dN_{ch}/d\eta \rangle^{1/3}$, for $k_T\approx 0.22$ GeV/c and$k_T\approx 0.39$ GeV/c. Results are for Au+Au collisions at STAR at 19.6 GeV. Errors are statistical only.

The dependence of the HBT radii on multiplicity,$\langle dN_{ch}/d\eta \rangle^{1/3}$, for $k_T\approx 0.22$ GeV/c and$k_T\approx 0.39$ GeV/c. Results are for Au+Au collisions at STAR at 27 GeV. Errors are statistical only.

The dependence of the HBT radii on multiplicity,$\langle dN_{ch}/d\eta \rangle^{1/3}$, for $k_T\approx 0.22$ GeV/c and$k_T\approx 0.39$ GeV/c. Results are for Au+Au collisions at STAR at 39 GeV. Errors are statistical only.

The dependence of the HBT radii on multiplicity,$\langle dN_{ch}/d\eta \rangle^{1/3}$, for $k_T\approx 0.22$ GeV/c and$k_T\approx 0.39$ GeV/c. Results are for Au+Au collisions at STAR at 62.4 GeV. Errors are statistical only.

The dependence of the HBT radii on multiplicity,$\langle dN_{ch}/d\eta \rangle^{1/3}$, for $k_T\approx 0.22$ GeV/c and$k_T\approx 0.39$ GeV/c. Results are for Au+Au collisions at STAR at 200 GeV. Errors are statistical only.

The dependence of the HBT radii on multiplicity,$\langle dN_{ch}/d\eta \rangle^{1/3}$, for $k_T\approx 0.22$ GeV/c and$k_T\approx 0.39$ GeV/c. Results are for Si+Al collisions at E802, Pb+Au at CERES, Pb+Pb at ALICE. Errors are statistical only.

The beam energy dependence of the volume of the regions of homogeneity at kinetic freeze-out in central Au+Au, Pb+Pb and Pb+Au collisions with $k_T\approx 0.22$ GeV/c.

The lifetime, $\tau$, of the system as a function of beam energy for central Au+Au collisions assuming a temperature of T = 0.12 GeV at kinetic freeze-out.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 7.7 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c for the azimuthally integrated radii and the 0th-order Fourier coefficients. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 7.7 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c, from the HHLW method (Gaussian fits to each angular bin) and a single global fit to all angular bins to directly. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at backward(−1<y<−0.5), forward(0.5<y<1)and mid(−0.5<y< 0.5) rapidity, in 7.7 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c using the global fit method. Error bars include only statistical uncertain- ties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 11.5 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c for the azimuthally integrated radii and the 0th-order Fourier coefficients. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 11.5 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c, from the HHLW method (Gaussian fits to each angular bin) and a single global fit to all angular bins to directly. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at backward(−1<y<−0.5), forward(0.5<y<1) and mid(−0.5<y< 0.5) rapidity, in 11.5 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c using the global fit method. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 19.6 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c for the azimuthally integrated radii and the 0th-order Fourier coefficients. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 19.6 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c, from the HHLW method (Gaussian fits to each angular bin) and a single global fit to all angular bins to directly. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at backward(−1<y<−0.5), forward(0.5<y<1) and mid(−0.5<y< 0.5) rapidity, in 19.6 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c using the global fit method. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 27 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c for the azimuthally integrated radii and the 0th-order Fourier coefficients. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 27 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c, from the HHLW method (Gaussian fits to each angular bin) and a single global fit to all angular bins to directly. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at backward(−1<y<−0.5), forward(0.5<y<1) and mid(−0.5<y< 0.5) rapidity, in 27 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c using the global fit method. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 39 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c for the azimuthally integrated radii and the 0th-order Fourier coefficients. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 39 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c, from the HHLW method (Gaussian fits to each angular bin) and a single global fit to all angular bins to directly. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at backward(−1<y<−0.5), forward(0.5<y<1) and mid(−0.5<y< 0.5) rapidity, in 39 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c using the global fit method. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 62.4 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c for the azimuthally integrated radii and the 0th-order Fourier coefficients. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 62.4 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c, from the HHLW method (Gaussian fits to each angular bin) and a single global fit to all angular bins to directly. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at backward(−1<y<−0.5), forward(0.5<y<1) and mid(−0.5<y< 0.5) rapidity, in 62.4 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c using the global fit method. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 200 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c for the azimuthally integrated radii and the 0th-order Fourier coefficients. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at mid-rapidity (−0.5 < y < 0.5), in 200 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c, from the HHLW method (Gaussian fits to each angular bin) and a single global fit to all angular bins to directly. Error bars include only statistical uncertainties.

Centrality dependence of the Fourier coefficients that describe azimuthal oscillations of the HBT radii, at backward(−1<y<−0.5), forward(0.5<y<1) and mid(−0.5<y< 0.5) rapidity, in 200 GeV collisions with ⟨$k_T$⟩ ≈ 0.31 GeV/c using the global fit method. Error bars include only statistical uncertainties.

Beam energy dependence of the $R_{ol,0}^2$ cross term for forward and backward rapidity with ⟨$k_T$⟩ ≈ 0.31 GeV/c.

The eccentricity of the collisions at kinetic freez-out, εF , as a function of initial eccentricity relative to the participant plane, ε$_{PP}$, at mid-rapidity. All results are for ⟨$k_T$⟩ ≈ 0.31 GeV/c. Error bars include only statistical uncertainties. The line has a slope of one indicating no change in shape.

The dependence of the kinetic freeze-out eccentricity of pions on collision energy in mid-central Au+Au collisions (E895, STAR) and Pb+Au collisions (CERES) for three rapidity regions and with ⟨$k_T$⟩ ≈ 0.31 GeV/c. Several (2+1)D hydrodynamical models and UrQMD calculations are shown. Model centralities correspond to the data.

The dependence of the kinetic freeze-out eccentricity of pions on collision energy in mid-central Au+Au collisions using UrQMD calculations, (2+1)D hydro MC-KLN and (2+1)D hydro MC-GLB models with ⟨$k_T$⟩ ≈ 0.31 GeV/c. Error bars include only statistical uncertainties. Model centralities correspond to the data.

The dependence of the kinetic freeze-out eccentricity of pions on collision energy in mid-central Au+Au collisions using (2+1)D hydro EOS-Q, (2+1)D hydro EOS-H, and (2+1)D hydro EOS-I models with ⟨$k_T$⟩ ≈ 0.31 GeV/c. Error bars include only statistical uncertainties. Model centralities correspond to the data.

The three-point correlator, $\gamma$, as a function of centrality for Au+Au collisions at 19.6 GeV.

The three-point correlator, $\gamma$, as a function of centrality for Au+Au collisions at 11.5 GeV.

The three-point correlator, $\gamma$, as a function of centrality for Au+Au collisions at 7.7.

The two-particle correlation as a function of centrality for Au+Au collisions at 62.4 GeV.

The two-particle correlation as a function of centrality for Au+Au collisions at 39 GeV.

The two-particle correlation as a function of centrality for Au+Au collisions at 27 GeV.

The two-particle correlation as a function of centrality for Au+Au collisions at 19.6 GeV.

The two-particle correlation as a function of centrality for Au+Au collisions at 11.5 GeV.

The two-particle correlation as a function of centrality for Au+Au collisions at 7.7 GeV.

$H_{SS}-H{OS}$, as a function of beam energy for 60-80% centrality in Au+Au collisions.

$H_{SS}-H{OS}$, as a function of beam energy for 30-60% centrality in Au+Au collisions.

$H_{SS}-H{OS}$, as a function of beam energy for 10-30% centrality in Au+Au collisions.

Integrated $D^0$ $R_{\rm AA}$ as a function of $N_{\mathrm{part}}$ in different $p_{\rm T}$ regions, 0$-$8 ${\mathrm{GeV/}}c$ (squares), 0.7$-$2.2 ${\mathrm{GeV/}}c$ (diamonds) and 3$-$8 ${\mathrm{GeV/}}c$ (circles). Open symbols are for the 0$-$80% minimum bias events. The vertical bar around unity denotes the overall normalization uncertainty from p+p reference.

$E_T^e$ 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.

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.

Signal-to-background (S/B) ratio as a function of transverse momentum, Au+Au 62.4 GeV, 0-60% central events with minimum bias trigger

Inclusive electron elliptic flow v2\{2\} as a function of transverse momentum, Au+Au 200 GeV, 0-60% central events with minimum bias trigger

Inclusive electron elliptic flow v2\{4\} as a function of transverse momentum, Au+Au 200 GeV, 0-60% central events with minimum bias trigger

Inclusive electron elliptic flow v2\{2\} as a function of transverse momentum, Au+Au 39 GeV, 0-60% central events with minimum bias trigger

Inclusive electron elliptic flow v2\{2\} as a function of transverse momentum, Au+Au 62.4 GeV, 0-60% central events with minimum bias trigger

Inclusive electron elliptic flow v2\{2\} as a function of transverse momentum, Au+Au 200 GeV, 0-60% central events with High Tower (high pT) trigger

Photonic electron elliptic flow v2 as a function of transverse momentum, Au+Au 39 GeV, 0-60% central events with minimum bias trigger

Photonic electron elliptic flow v2 as a function of transverse momentum, Au+Au 62.4 GeV, 0-60% central events with minimum bias trigger

Photonic electron elliptic flow v2 as a function of transverse momentum, Au+Au 200 GeV, 0-60% central events with minimum bias trigger

Elliptic flow v2\{2\} of electrons from heavy-flavor hadron decays, Au+Au 200 GeV, 0-60% central events with minimum bias trigger

Elliptic flow v2\{4\} of electrons from heavy-flavor hadron decays, Au+Au 200 GeV, 0-60% central events with minimum bias trigger

Elliptic flow v2\{2\} of electrons from heavy-flavor hadron decays, Au+Au 200 GeV, 0-60% central events with High Tower (high pT) trigger

Elliptic flow v2\{EP\} of electrons from heavy-flavor hadron decays, Au+Au 200 GeV, 0-60% central events with High Tower (high pT) trigger

Elliptic flow v2\{2\} of electrons from heavy-flavor hadron decays, Au+Au 39 GeV, 0-60% central events with minimum bias trigger

Elliptic flow v2\{2}\ of electrons from heavy-flavor hadron decays, Au+Au 62.4 GeV, 0-60% central events with minimum bias trigger