Ratio of $p_{\mathrm{T,ch\ jet}}$-differential cross section of charm jets tagged with $\mathrm{D^{0}}$ mesons for different $R$: $\sigma(R=0.2)/\sigma(R=0.4)$ and $\sigma(R=0.2)/\sigma(R=0.6)$ in pp collisions at $\sqrt{s}=13$ TeV.

Ratio of $p_{\mathrm{T,ch\ jet}}$-differential cross section of charm jets tagged with $\mathrm{D^{0}}$ mesons for different $R$: $\sigma(R=0.2)/\sigma(R=0.4)$ and $\sigma(R=0.2)/\sigma(R=0.6)$ in pp collisions at $\sqrt{s}=5.02$ TeV.

The fraction of $\mathrm{D^{0}}$ jets over inclusive charged-particle jets in pp collisions at $\sqrt{s}=5.02$ TeV for $R=0.2$, $0.4$, and $0.6$.

Distributions of $z^{\mathrm{ch}}_{||}$-differential yield of charm jets tagged with $\mathrm{D^{0}}$ mesons normalised by the number of $\mathrm{D^{0}}$ jets within each distribution in pp collisions at $\sqrt{s}=13$ TeV in four jet-$p_{\mathrm{T}}$ intervals $5<p_{\mathrm{T,ch\ jet}}<7$ GeV/$c$, $7<p_{\mathrm{T,ch\ jet}}<10$ GeV/$c$, $10<p_{\mathrm{T,ch\ jet}}<15$ GeV/$c$, and $15<p_{\mathrm{T,ch\ jet}}<50$ GeV/$c$ for jet radii $R=0.2$, $0.4$, and $0.6$.

Distributions of $z^{\mathrm{ch}}_{||}$-differential yield of charm jets tagged with $\mathrm{D^{0}}$ mesons normalised by the number of $\mathrm{D^{0}}$ jets within each distribution in pp collisions at $\sqrt{s}=5.02$ TeV in four jet-$p_{\mathrm{T}}$ intervals $5<p_{\mathrm{T,ch\ jet}}<7$ GeV/$c$, $7<p_{\mathrm{T,ch\ jet}}<10$ GeV/$c$, $10<p_{\mathrm{T,ch\ jet}}<15$ GeV/$c$, and $15<p_{\mathrm{T,ch\ jet}}<50$ GeV/$c$ for jet radii $R=0.2$, $0.4$, and $0.6$.

$p_{\mathrm{T,ch\ jet}}$-differential cross section of charm jets tagged with $\mathrm{D^{0}}$ mesons for $R=0.3$ in pp collisions at $\sqrt{s}=5.02$ TeV.

The fraction of $\mathrm{D^{0}}$ jets over inclusive charged-particle jets in pp collisions at $\sqrt{s}=5.02$ TeV for $R=0.3$.

Distributions of $z^{\mathrm{ch}}_{||}$-differential yield of charm jets tagged with $\mathrm{D^{0}}$ mesons normalised by the number of $\mathrm{D^{0}}$ jets within each distribution in pp collisions at $\sqrt{s}=5.02$ TeV in four jet-$p_{\mathrm{T}}$ intervals $5<p_{\mathrm{T,ch\ jet}}<7$ GeV/$c$, $7<p_{\mathrm{T,ch\ jet}}<10$ GeV/$c$, $10<p_{\mathrm{T,ch\ jet}}<15$ GeV/$c$, and $15<p_{\mathrm{T,ch\ jet}}<50$ GeV/$c$ for jet radius $R=0.3$.

Correlated dihadron yield, per radian per unit of pseudorapidity, as a function of $\Delta\phi$ for -4.5 < $\Delta\eta$ < -2 in d+Au collisions, for high ZDC-Au activity data. Both the trigger and associated particles have 1 < $p_T$ < 3 GeV/c.

Correlated dihadron yield, per radian per unit of pseudorapidity, as a function of $\Delta\phi$ for 2 < $\Delta\eta$ < 4.5 in d+Au collisions, for low ZDC-Au activity data. Both the trigger and associated particles have 1 < $p_T$ < 3 GeV/c.

Correlated dihadron yield, per radian per unit of pseudorapidity, as a function of $\Delta\phi$ for 2 < $\Delta\eta$ < 4.5 in d+Au collisions, for high ZDC-Au activity data. Both the trigger and associated particles have 1 < $p_T$ < 3 GeV/c.

The $\Delta\eta$ dependence of the near-side (|$\Delta\phi$| < $\pi/3$) correlated yield. Positive(negative) $\eta$ corresponds to d(Au)-going direction. Only high ZDC-Au activity data are shown.

The $\Delta\eta$ dependence of the away-side (|$\Delta\phi - \pi$| < $\pi/3$) correlated yield. Positive(negative) $\eta$ corresponds to d(Au)-going direction. Only high ZDC-Au activity data are shown.

The $\Delta\eta$ dependence of the ratio of the near- to away-side correlated yields in d+Au collisions. Positive(negative) $\eta$ corresponds to d(Au)-going direction. Only high ZDC-Au activity data are shown.

The $\Delta\eta$ dependence of the second harmonic Fourier coefficient, V2, in low ZDC-Au activity d+Au collisions.

The $\Delta\eta$ dependence of the second harmonic Fourier coefficient, V2, in high ZDC-Au activity d+Au collisions.

Fourier coefficient V1 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by FTPC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be 10% on V1. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V1 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC. Trigger particles are from TPC, and associated particles from FTPC-Au. Systematic uncertainties are estimated to be 10% on V1. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V1 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC. Trigger particles are from TPC, and associated particles from FTPC-d. Systematic uncertainties are estimated to be 10% on V1. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V1 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be 10% on V1. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V2 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by FTPC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be 10% on V2. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V2 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from FTPC-Au. Systematic uncertainties are estimated to be 10% on V2. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V2 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from FTPC-d. Systematic uncertainties are estimated to be 10% on V2. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V2 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be 10% on V2. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V3 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selections is by FTPC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be smaller than statistical errors for V3. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V3 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from FTPC-Au. Systematic uncertainties are estimated to be smaller than statistical errors for V3. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V3 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from FTPC-d. Systematic uncertainties are estimated to be smaller than statistical errors for V3. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V3 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be smaller than statistical errors for V3. Errors shown are the quadratic sum of statistical and systematic errors.

The acceptance-corrected excess dielectron mass spectra, normalized to the charged particle multiplicity at mid-rapidity dNch/dy, in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV. The dNch/dy values in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV are from Ref. [38]. The normalization uncertainty from the STAR measured dN/dy is about 10%, which is not shown in the table.

The acceptance-corrected excess dielectron mass spectra, normalized to the charged particle multiplicity at mid-rapidity dNch/dy, in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The dNch/dy values in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV are from Ref. [39]. The normalization uncertainty from the STAR measured dN/dy is about 10%, which is not shown in the table.

Integrated yields of the normalized dilepton excesses for 0.4 < $M^{ll}$ < 0.75 GeV/c$^2$ as a function of dNch/dy. From top to bottom: 0-80% Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, then 0-10%, 10-40%, 40-80% and 0-80% Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

The dihadron correlated yield normalized per radian per unit of pseudorapidity as function of $\Delta\eta$ in d+Au collisions on the away side (|$\Delta\phi$ - $\pi$| < $\pi$/3). Shown is the high FTPC-Au activity data. Trigger and associated particles have 1 < $p_T$ < 3 GeV/c and |$\eta$| < 1.

The dihadron correlated yield normalized per radian per unit of pseudorapidity as function of $\Delta\eta$ in d+Au collisions on the away side (|$\Delta\phi$ - $\pi$| < $\pi$/3). Shown is the high-activity data after subtracting the unscaled low-activity data. Trigger and associated particles have 1 < $p_T$ < 3 GeV/c and |$\eta$| < 1.

The dihadron correlated yield normalized per radian per unit of pseudorapidity as function of $\Delta\eta$ in d+Au collisions on the away side (|$\Delta\phi$ - $\pi$| < $\pi$/3). Shown is the high-activity data after subtracting the unscaled low-activity data. Trigger and associated particles have 1 < $p_T$ < 3 GeV/c and |$\eta$| < 1.

The dihadron correlated yield normalized per radian per unit of pseudorapidity as function of $\Delta\eta$ in d+Au collisions on the near (|$\Delta\phi$| < $\pi$/3) side. Shown is the high-activity data after subtracting the unscaled low-activity data. Trigger and associated particles have 1 < $p_T$ < 3 GeV/c and |$\eta$| < 1.

The dihadron correlated yield normalized per radian per unit of pseudorapidity as function of $\Delta\eta$ in d+Au collisions on the near (|$\Delta\phi$| < $\pi$/3, solid circles) and away side (|$\Delta\phi$ - $\pi$| < $\pi$/3, open circles). Shown are the (a) low and (b) high FTPC-Au activity data, and the high-activity data after subtracting the (c) unscaled. Trigger and associated particles have 1 < $p_T$ < 3 GeV/c and |$\eta$| < 1.

(a) The near-side jetlike correlated yield obtained from Gaussian fit as in Fig. 1 as function of the uncorrected dN/d$\eta$ at midrapidity measured in the TPC. Two event selections are used: FTPC-Au multiplicity and ZDC-Au energy. The curve is the result from a HIJING calculation.

(a) The near-side jetlike correlated yield obtained from Gaussian fit as in Fig. 1 as function of the uncorrected dN/d$\eta$ at midrapidity measured in the TPC. Two event selections are used: FTPC-Au multiplicity and ZDC-Au energy. The curve is the result from a HIJING calculation.

$p_T^{(a)}$ dependence. The ratio of the correlated yields in high over low FTPC-Au multiplicity events as a function of $p_T^{(a)}$ $p_T^{(t)}$ where $p_T^{(a)}$ $p_T^{(t)}$ is fixed.

$p_T^{(a)}$ dependence. The ratio of the correlated yields in high over low FTPC-Au multiplicity events as a function of $p_T^{(a)}$ $p_T^{(t)}$ where $p_T^{(a)}$ $p_T^{(t)}$ is fixed.

(a) The dihadron correlated yield normalized per radian per unit of pseudorapidity as a function of $\Delta\phi$ in d+Au collisions at high (0-20%) FTPC-Au multiplicities. Trigger and associated particles are 1 < $p_T$ < 3 GeV/c within 0.5 < |$\Delta\eta$| < 0.7. ZYAM positions are indicated with arrows.

(a) The dihadron correlated yield normalized per radian per unit of pseudorapidity as a function of $\Delta\phi$ in d+Au collisions at low (40-100%) FTPC-Au multiplicities. Trigger and associated particles are 1 < $p_T$ < 3 GeV/c within 0.5 < |$\Delta\eta$| < 0.7. ZYAM positions are indicated with arrows.multiplicity versus $\Delta\phi$.

The raw associated yield at high FTPC-Au multiplicity minus the unscaled ZYAM-subtracted correlated yields at low FTPC-Au multiplicity versus $\Delta\phi$.

The raw associated yield at high FTPC-Au multiplicity minus the scaled ZYAM-subtracted correlated yields at low FTPC-Au multiplicity versus $\Delta\phi$.

Two-dimensional $\Delta\phi$ vs. $\Delta\eta$ correlation functions for non-pion triggers from 0-10% most-central Au+Au data at 200 GeV. All trigger and associated charged hadrons are selected in the respective pT ranges 4 < $p_T^{trig}$ < 5 GeV/c and 1.5 < $p_T^{assoc}$ < 4 GeV/c.

Two-dimensional $\Delta\phi$ vs. $\Delta\eta$ correlation functions for pion triggers from minimum-bias d+Au data at 200 GeV. All trigger and associated charged hadrons are selected in the respective pT ranges 4 < $p_T^{trig}$ < 5 GeV/c and 1.5 < $p_T^{assoc}$ < 4 GeV/c.

Two-dimensional $\Delta\phi$ vs. $\Delta\eta$ correlation functions for pion triggers from 0-10% most-central Au+Au data at 200 GeV. All trigger and associated charged hadrons are selected in the respective pT ranges 4 < $p_T^{trig}$ < 5 GeV/c and 1.5 < $p_T^{assoc}$ < 4 GeV/c.

The $\Delta\phi$ projections of the pure-cone correlations for |$\Delta\phi$| < $\pi$/4 for pion triggers.

The $\Delta\eta$ projections of the pure-cone correlations for |$\Delta\eta$| < 0.78 for pion triggers.

The $\Delta\phi$ projections of the pure-cone correlations for |$\Delta\phi$| < $\pi$/4 non-pion triggers.

The $\Delta\eta$ projections of the pure-cone correlations for |$\Delta\eta$| < 0.78 non-pion triggers.

$\Delta\phi$ projections over |$\Delta\eta$| < 1.5 in 0-10% Au+Au and minimum-bias d+Au data at 200 GeV after subtracting the jet-like fit components.

Extracted Fourier coefficients from fitting in $\pi$ 2 < $\Delta\phi$ < 3$\pi/2$ ) x (|$\Delta\eta$| < 1.5) (1.52 for d+Au), for pion, non-pion, and charged hadron triggers in the flow-based model.

Extracted Fourier coefficients from fitting in $\pi$ 2 < $\Delta\phi$ < 3$\pi/2$ ) x (|$\Delta\eta$| < 1.5) (1.52 for d+Au), for pion, non-pion, and charged hadron triggers in the flow-based model.

V3/V2 ratio for pion and non-pion triggers in Au+Au, and the extrapolated value for "pure protons".

$D^0\,R_{AA}$ for different centralities.

Centrality dependence of the $D^0$ $p_{\rm T}$ differential invariant yield in Au+Au collisions (solid symbols). The curves are number-of-binary-collision-scaled Levy functions from fitting to the p+p result (open circles), which has been updated with the latest global analysis of charm fragmentation ratios from Ref and also taking into account the $p_{\rm T}$ dependence of the fragmentation ratio between $D^0$ and $D^{*{\pm}}$ from PYTHIA 6.4. The arrow denotes the upper limit with 90% confidence level of the last data point for 10$-$40% collisions. The systematic uncertainties are shown as square brackets.

Centrality dependence of the $D^0$ $p_{\rm T}$ differential invariant yield in Au+Au collisions (solid symbols). The curves are number-of-binary-collision-scaled Levy functions from fitting to the p+p result (open circles), which has been updated with the latest global analysis of charm fragmentation ratios from Ref and also taking into account the $p_{\rm T}$ dependence of the fragmentation ratio between $D^0$ and $D^{*{\pm}}$ from PYTHIA 6.4. The arrow denotes the upper limit with 90% confidence level of the last data point for 10$-$40% collisions. The systematic uncertainties are shown as square brackets.

Integrated $D^0$ $R_{AA}$ as a function of $N_{part}$ in different $p_T$ regions.

Panels (ab), $D^0$ $R_{\rm AA}$ for peripheral 40$-$80% and semi a central 10$-$40% collisions; Panel (c), $D^0$ $R_{\rm AA}$ for 0$-$10% most central events (blue circles) compared with model calculations from the TAMU (solid curve), SUBATECH (dashed curve), Torino (dot-dashed curve), Duke (long-dashed and long-dot-dashed curves), and LANL groups (filled band). The open symbol indicates the result with the extrapolated p+p reference. The vertical lines and brackets around the data points denote the statistical and systematic uncertainties respectively. The vertical bars around unity denote the overall normalization uncertainties in the Au+Au and p+p data, respectively. The $R_{\rm AA}$ probability distribution for the 0$-$0.7 GeV/$c$ data point is largely skewed. The uncertainty we report is the 68.3% probability range with respect to the measured central value assuming Gaussian distribution.

Panels (ab), $D^0$ $R_{\rm AA}$ for peripheral 40$-$80% and semi a central 10$-$40% collisions; Panel (c), $D^0$ $R_{\rm AA}$ for 0$-$10% most central events (blue circles) compared with model calculations from the TAMU (solid curve), SUBATECH (dashed curve), Torino (dot-dashed curve), Duke (long-dashed and long-dot-dashed curves), and LANL groups (filled band). The open symbol indicates the result with the extrapolated p+p reference. The vertical lines and brackets around the data points denote the statistical and systematic uncertainties respectively. The vertical bars around unity denote the overall normalization uncertainties in the Au+Au and p+p data, respectively. The $R_{\rm AA}$ probability distribution for the 0$-$0.7 GeV/$c$ data point is largely skewed. The uncertainty we report is the 68.3% probability range with respect to the measured central value assuming Gaussian distribution.

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.

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.

Charged particle multiplicity distribution.

Average charged particle transverse momentum as a function of the number of charged particles in the event.