Distributions in $S_T$ in the SR for the electron channel, after a background-only fit to the data. The signal distributions are scaled to the cross section predicted by the theory. The hatched bands show the post-fit uncertainty band, combining all sources of uncertainty. The ratio of data to the background predictions is shown in the panels below the distributions.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH2 at nucleon-nucleon center-of-mass energy from 38.8 GeV to 13 TeV.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH3 at nucleon-nucleon center-of-mass energy from 38.8 GeV to 13 TeV.

Tuned intrinsic kT parameters BeamRemnants:PrimordialkThard in Pythia with the underlying-event tune CP5 and ISR starting scale SpaceShower:pT0Ref = 1 GeV at nucleon-nucleon center-of-mass energy from 38.8 GeV to 13 TeV.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH3 and ISR starting scale SudakovCommon:pTmin=0.7 GeV at nucleon-nucleon center-of-mass energy from 38.8 GeV to 13 TeV.

Tuned intrinsic kT parameters BeamRemnants:PrimordialkThard in Pythia with the underlying-event tune CP5 at proton-proton center-of-mass energy 38.8 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters BeamRemnants:PrimordialkThard in Pythia with the underlying-event tune CP5 at proton-proton center-of-mass energy 8000 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters BeamRemnants:PrimordialkThard in Pythia with the underlying-event tune CP5 at proton-nucleon center-of-mass energy 8160 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters BeamRemnants:PrimordialkThard in Pythia with the underlying-event tune CP5 at proton-nucleon center-of-mass energy 13000 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH2 at proton-proton center-of-mass energy 38.8 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH2 at proton-proton center-of-mass energy 8000 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH2 at proton-nucleon center-of-mass energy 8160 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH2 at proton-proton center-of-mass energy 13000 GeV versus the dilepton mass range of the process.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 38.8 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 62 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 200 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-anti-proton center-of-mass energy 1800 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-anti-proton center-of-mass energy 1960 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 2760 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 8000 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-nucleon center-of-mass energy 8160 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 13000 GeV when fitting to the CMS measurement.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 13000 GeV when fitting to the LHCb measurement.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 38.8 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 62 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 200 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-anti-proton center-of-mass energy 1800 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-anti-proton center-of-mass energy 1960 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 2760 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 8000 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-nucleon center-of-mass energy 8160 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 13000 GeV when fitting to the CMS measurement.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 13000 GeV when fitting to the LHCb measurement.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 38.8 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 62 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 200 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-anti-proton center-of-mass energy 1800 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-anti-proton center-of-mass energy 1960 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 2760 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 8000 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-nucleon center-of-mass energy 8160 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 13000 GeV when fitting to the CMS measurement.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 13000 GeV when fitting to the LHCb measurement.

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, trig} < 4.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, trig} < 4.0$ GeV/$c$ and $2.0 < p_\mathrm{T, assoc} < 3.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 4.0$ GeV/$c$. The multiplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $2.0 < p_\mathrm{T, assoc} < 3.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $3.0 < p_\mathrm{T, assoc} < 4.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 8.0$ GeV/$c$. The multiplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $1.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 2.0$ GeV/$c$. The multiplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $2.0 < p_\mathrm{T, trig} < 3.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $2.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 3.0$ GeV/$c$. The multiplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, trig} < 4.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, trig} < 4.0$ GeV/$c$ and $2.0 < p_\mathrm{T, assoc} < 3.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 4.0$ GeV/$c$. The multiplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $2.0 < p_\mathrm{T, assoc} < 3.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $3.0 < p_\mathrm{T, assoc} < 4.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the near-side width $\sigma$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 8.0$ GeV/$c$. The multiplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $1.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 2.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $2.0 < p_\mathrm{T, trig} < 3.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $2.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 3.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, trig} < 4.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, trig} < 4.0$ GeV/$c$ and $2.0 < p_\mathrm{T, assoc} < 3.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 4.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $2.0 < p_\mathrm{T, assoc} < 3.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $3.0 < p_\mathrm{T, assoc} < 4.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 8.0$ GeV/$c$. The mulitplicity is estimated with midrapidity multiplicity estimator ($|\eta|<1.0,\,p_\mathrm{T}>0.2$ GeV/$c$).

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $1.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 2.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $2.0 < p_\mathrm{T, trig} < 3.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $2.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 3.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, trig} < 4.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, trig} < 4.0$ GeV/$c$ and $2.0 < p_\mathrm{T, assoc} < 3.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $3.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 4.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $1.0 < p_\mathrm{T, assoc} < 2.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $2.0 < p_\mathrm{T, assoc} < 3.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, trig} < 8.0$ GeV/$c$ and $3.0 < p_\mathrm{T, assoc} < 4.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Multiplicity dependence of the fragmentation yield $Y^{frag}$ in pp collisions at $\sqrt{s_{\rm NN}} = 13$ TeV. Obtained in transverse momentum intervals $4.0 < p_\mathrm{T, assoc} < p_\mathrm{T, trig} < 8.0$ GeV/$c$. The mulitplicity is estimated with forward multiplicity estimator.

Net-proton cumulant ratios, (a) $C_{2}/C_{1}$, (b) $C_{3}/C_{2}$, (c) $C_{4}/C_{2}$, (d) $C_{5}/C_{1}$, and (e) $C_{6}/C_{2}$ as a function of charged-particle multiplicity from $\sqrt{s}=200$ GeV $p$+$p$ collisions. Black solid lines and red bands represent the statistical and systematic uncertainties, respectively. Cyan points represent event averages for $3 < m_{\rm ch}^{\rm TPC} < 30$, and they are plotted at the corresponding value of $m_{\rm ch}^{\rm TPC}$. The uncertainties on the cyan points are smaller than the marker size. The Skellam baselines are shown as dotted lines. The results of the PYTHIA8 calculations are shown by hatched-golden bands. The golden bands at $m_{\rm ch}^{\rm TPC}\approx 6$ are the results from the PYTHIA8 calculations averaged over multiplicities.

Rapidity-acceptance dependence of the net-proton cumulant ratios, (a) $C_{4}/C_{2}$, (b) $C_{5}/C_{1}$, and (c) $C_{6}/C_{2}$ shown as a function of the charged-particle multiplicity, $m_{\rm ch}^{\rm TPC}$, from $\sqrt{s}=200$ GeV $p$+$p$ collisions. Solid squares, triangles, and circles represent the results with $|y|<0.1$, $0.3$, and $0.5$, respectively. Black solid lines and colored bands show the statistical and systematic uncertainties.The data points and their uncertainties for $|y|<0.1$ and $0.3$ are slightly shifted for clarity. The Skellam baselines are shown by dotted lines.

Net-proton cumulant ratios, (a) $C_{4}/C_{2}$, (b) $C_{5}/C_{1}$, and (c) $C_{6}/C_{2}$ as a function of charged-particle multiplicity for $p$+$p$ collisions and Au+Au collisions at 200 GeV for $|y|<0.5$ and $0.4<p_{\rm T}<2.0$ GeV/$c$. Cyan markers represent event averages for $3<m_{\rm ch}^{\rm TPC}<30$ from the $p$+$p$ collisions. Results from Au+Au collisions are shown as triangles for the 0-40%, 40-50%, 50-60%, 60-70%, and 70-80% centrality bins. Red and grey bands show the systematic uncertainties for $p$+$p$ collisions and Au+Au collisions, respectively. The $m_{\rm ch}^{\rm TPC}$ values are not corrected for the reconstruction efficiency of the TPC. The golden bands at $m_{\rm ch}^{\rm TPC}\approx 6$ represent the results from PYTHIA8 calculations averaged over multiplicity. The Skellam baselines are shown in dotted lines. The purple bands show corresponding susceptibility ratios of baryon number from lattice QCD calculations, where the multiplicity range is chosen arbitrary.

Net-proton cumulant ratios, (a) $C_{4}/C_{2}$, (b) $C_{5}/C_{1}$, and (c) $C_{6}/C_{2}$ as a function of charged-particle multiplicity for $p$+$p$ collisions and Au+Au collisions at 200 GeV for $|y|<0.5$ and $0.4<p_{\rm T}<2.0$ GeV/$c$. Cyan markers represent event averages for $3<m_{\rm ch}^{\rm TPC}<30$ from the $p$+$p$ collisions. Results from Au+Au collisions are shown as triangles for the 0-40%, 40-50%, 50-60%, 60-70%, and 70-80% centrality bins. Red and grey bands show the systematic uncertainties for $p$+$p$ collisions and Au+Au collisions, respectively. The $m_{\rm ch}^{\rm TPC}$ values are not corrected for the reconstruction efficiency of the TPC. The golden bands at $m_{\rm ch}^{\rm TPC}\approx 6$ represent the results from PYTHIA8 calculations averaged over multiplicity. The Skellam baselines are shown in dotted lines. The purple bands show corresponding susceptibility ratios of baryon number from lattice QCD calculations, where the multiplicity range is chosen arbitrary.

Exclusive J/psi photoproduction cross section in gamma-p.

Dissociative J/psi photoproduction gamma-p.

Cross section ratio, dissociative J/psi photoproduction gamma-p over exclusive J/psi photoproduction gamma-p.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 11.5 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 14.5 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

The scaling index, $\beta_{q}$ ($q=$ 3-6), as a function of $q-1$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7-200 GeV.

The scaling exponent ($\nu$), as a function of average number of participant nucleons ($\langle N_{part}\rangle$), in Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6-200 GeV. The data with the largest number of $\langle N_{part}\rangle$ correspond to the most central collisions (0-5\%), and the rest of the points are for 5-10\%, 10-20\%, 20-30\% and 30-40\% centrality, respectively. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 are: 338,289,225,158,108. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV are: 343,299,234,166,114. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV are: 342,294,230,162,111. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV are: 346,292,228,161,111. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV are 347,294,230,164,114. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV are:351,299,234,168,117.

Collision energy dependence of the scaling exponent in the 0-10% and 10-40% centrality collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7-200 GeV

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 11.5 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 14.5 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 11.5 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 14.5 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV

Efficiency corrected and uncorrected $\Delta F_{2}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{3}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{4}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{5}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{6}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 5-10\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 10-20\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 20-30\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 30-40\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 0-5% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 5-10% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 10-20% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 20-30% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 30-40% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_4$ for Au+Au collisions at 54.4 GeV.

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_5$ for Au+Au collisions at 54.4 GeV.

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_4$ for Au+Au collisions at 39.0 GeV.

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_4$ for Au+Au collisions at 27.0 GeV.

Comparison of the $\chi_{4,22}$ and $\rho_{4,22}$ for Au+Au collisions at 54.4 GeV.

Comparison of the $\chi_{3,23}$ and $\rho_{5,23}$ for Au+Au collisions at 54.4 GeV.

Comparison of the $\chi_{4,22}$ and $\rho_{4,22}$ for Au+Au collisions at 39.0 GeV.

Comparison of the $\chi_{4,22}$ and $\rho_{4,22}$ for Au+Au collisions at 27.0 GeV.

Comparison of the $NSC(2,3)$ and $NSC(2,4)$ for Au+Au collisions at 54.4 GeV.

Comparison of the $NSC(2,3)$ and $NSC(2,4)$ for Au+Au collisions at 27.0 GeV.

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$62.4 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$200 GeV

Invariant yields of tritons at 19.6 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 27 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 39 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 54.4 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 62.4 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 200 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Triton integral dN/dy in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4, 200 GeV, all centrality

Invariant yields of inclusive proton at 54.4 GeV with DCA < 3 cm, all centralities

Inclusive proton integral dN/dy in Au+Au collisions at SQRT(s_NN) = 54.4 GeV, with DCA < 3 cm.

Invariant yields of deuteron at 54.4 GeV, all centralities

Deuteron integral dN/dy in Au+Au collisions at SQRT(s_NN) = 54.4 GeV, all centrality

Particle yield ratios at 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4, and 200 GeV, 0%-10% centrality

Charged-particle multiplicity (dN_{ch}/d\eta) of light nuclei yield ratio, all centralities

Collision energy, centrality, and p_{T} dependence of light nuclei yield, 0%-10% and 40%-80% centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV at 0-60% centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 7.7 GeV at 60-80% centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 11.5 GeV, all centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 14.5 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 19.6 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 27 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 39 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 54.4 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 62.4 GeV

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 7.7 GeV at 0-60% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 7.7 GeV at 60-80% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 11.5 GeV at 0-40% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 11.5 GeV at 40-80% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 14.5 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 19.6 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 27 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 39 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 62.4 GeV, all centrality

Integral yields dN/dy of primordial protons in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 200, all centrality

Integral yields dN/dy of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 200, all centrality

Integral yields dN/dy of primordial protons and antiprotons in Au+Au collisions at SQRT(s_NN) = 62.4, all centrality

Proton feed-down fraction in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 200, all centrality

Antiproton weak decay feed-down fraction in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, all centrality

Protons and antiprotons weak decay feed-down fraction in Au+Au collisions at SQRT(s_NN) = 62.4, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 27 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 54.4 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 27 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 54.4 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 27 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 54.4 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, all centrality