Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Efficiency corrected $\phi$-meson yields as a function of cos$\theta$* and corresponding fits with Eq.1 in the method section.

Efficiency and acceptance corrected $K^{*0}$-meson yields as a function of cos$\theta$* and corresponding fits with Eq.4 in the method section.

$\phi$-meson $\rho_{00}$ obtained from 1st- and 2nd-order event planes. The red stars (gray squares) show the $\phi$-meson $\rho_{00}$ as a function of beam energy, obtained with the 2nd-order (1st-order) EP.

$\phi$-meson $\rho_{00}$ with respect to different quantization axes. $\phi$-meson $\rho_{00}$ as a function of beam energy, for the out-of-plane direction (stars) and the in-plane direction (diamonds). Curves are fits based on theoretical calculations with a $\phi$-meson field. The corresponding $G_s^{(y)}$ values obtained from the fits are shown in the legend.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

Global spin alignment measurement of $\phi$ and $K^{*0}$ vector mesons in Au+Au collisions at 0-20\% centrality. The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for $K^{*0}$-meson, obtained with the 2nd-order EP.

Global spin alignment measurement of $\phi$ and $K^{*0}$ vector mesons in Au+Au collisions at 0-20\% centrality. The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for $K^{*0}$-meson, obtained with the 2nd-order EP.

$z_{g}$ for Matched Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$z_{g}$ for HardCore Recoil jets in AuAu Data anti-kT R$=$0.4

$z_{g}$ for HardCore Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$z_{g}$ for Matched Recoil jets in AuAu Data anti-kT R$=$0.4

$z_{g}$ for Matched Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$R_{g}$ for HardCore Trigger jets in AuAu Data anti-kT R$=$0.4

$R_{g}$ for HardCore Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$R_{g}$ for Matched Trigger jets in AuAu Data anti-kT R$=$0.4

$R_{g}$ for Matched Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$R_{g}$ for HardCore Recoil jets in AuAu Data anti-kT R$=$0.4

$R_{g}$ for HardCore Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$R_{g}$ for Matched Recoil jets in AuAu Data anti-kT R$=$0.4

$R_{g}$ for Matched Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

Fully corrected two subjet $z_{sj}$ for $15 < p_{\rm{T, jet}} < 20$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $z_{sj}$ for $20 < p_{\rm{T, jet}} < 25$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $z_{sj}$ for $25 < p_{\rm{T, jet}} < 30$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $z_{sj}$ for $30 < p_{\rm{T, jet}} < 40$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $\theta_{sj}$ for $15 < p_{\rm{T, jet}} < 20$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $\theta_{sj}$ for $20 < p_{\rm{T, jet}} < 25$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $\theta_{sj}$ for $25 < p_{\rm{T, jet}} < 30$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $\theta_{sj}$ for $30 < p_{\rm{T, jet}} < 40$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

$z_{sj}$ for HardCore Trigger jets in AuAu Data anti-kT R$=$0.4

$z_{sj}$ for HardCore Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$z_{sj}$ for Matched Trigger jets in AuAu Data anti-kT R$=$0.4

$z_{sj}$ for Matched Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$z_{sj}$ for HardCore Recoil jets in AuAu Data anti-kT R$=$0.4

$z_{sj}$ for HardCore Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$z_{sj}$ for Matched Recoil jets in AuAu Data anti-kT R$=$0.4

$z_{sj}$ for Matched Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for HardCore Trigger jets in AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for HardCore Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for Matched Trigger jets in AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for Matched Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for HardCore Recoil jets in AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for HardCore Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for Matched Recoil jets in AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for Matched Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$A_{J}$ for HardCore R=0.4 anti-kT jets with $\theta_{sj} > 0.1$ in Au$+$Au collisions

$A_{J}$ for HardCore R=0.4 anti-kT jets with $\theta_{sj} > 0.1$ in pp$+$AuAu reference

$A_{J}$ for HardCore R=0.4 anti-kT jets with $0.1 < \theta_{sj} < 0.2$ in Au$+$Au collisions

$A_{J}$ for HardCore R=0.4 anti-kT jets with $0.1 < \theta_{sj} < 0.2$ in pp$+$AuAu reference

$A_{J}$ for HardCore R=0.4 anti-kT jets with $0.2 < \theta_{sj} < 0.3$ in Au$+$Au collisions

$A_{J}$ for HardCore R=0.4 anti-kT jets with $0.2 < \theta_{sj} < 0.3$ in pp$+$AuAu reference

$A_{J}$ for Matched R=0.4 anti-kT jets with $\theta_{sj} > 0.1$ in Au$+$Au collisions

$A_{J}$ for Matched R=0.4 anti-kT jets with $\theta_{sj} > 0.1$ in pp$+$AuAu reference

$A_{J}$ for Matched R=0.4 anti-kT jets with $0.1 < \theta_{sj} < 0.2$ in Au$+$Au collisions

$A_{J}$ for Matched R=0.4 anti-kT jets with $0.1 < \theta_{sj} < 0.2$ in pp$+$AuAu reference

$A_{J}$ for Matched R=0.4 anti-kT jets with $0.2 < \theta_{sj} < 0.3$ in Au$+$Au collisions

$A_{J}$ for Matched R=0.4 anti-kT jets with $0.2 < \theta_{sj} < 0.3$ in pp$+$AuAu reference

tracking efficiency in pp collisions as a function of track momentum

tracking efficiency in AuAu collisions as a function of track momentum

The centrality dependencies of the $\Delta\gamma\{\psi_\mathrm{ZDC}\}$ for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the A for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the a for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the A/a using full-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the A/a using sub-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $f_\mathrm{CME}$ using full-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $f_\mathrm{CME}$ using sub-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $\Delta\gamma_\mathrm{CME}$ using full-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $\Delta\gamma_\mathrm{CME}$ using sub-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $f_\mathrm{CME}$ from different methods for 20-50% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $f_\mathrm{CME}$ from different methods for 50-80% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $\Delta\gamma_\mathrm{CME}$ from different methods for 20-50% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $\Delta\gamma_\mathrm{CME}$ from different methods for 50-80% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

$D_s^{\pm}$ invariant yield as a function of $p_{T}$ in 40-80% centrality bin of Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 200 GeV. The $p_T$ bins are 1.5 < $p_T$ < 2.5 GeV/c, 2.5 < $p_T$ < 3.5 GeV/c, 3.5 < $p_T$ < 5.0 GeV/c and 5.0 < $p_T$ < 8.0 GeV/c.

$D_{s}/D^{0}$ yield ratio as a function of $p_{T}$ in 0-10% centrality bin of Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 200 GeV. The $p_T$ bins are 1.5 < $p_T$ < 2.5 GeV/c, 2.5 < $p_T$ < 3.5 GeV/c, 3.5 < $p_T$ < 5.0 GeV/c and 5.0 < $p_T$ < 8.0 GeV/c.

$D_{s}/D^{0}$ yield ratio as a function of $p_{T}$ in 10-40% centrality bin of Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 200 GeV. The $p_T$ bins are 1.0 < $p_T$ < 2.0 GeV/c, 2.0 < $p_T$ < 2.5 GeV/c, 2.5 < $p_T$ < 3.5 GeV/c, 3.5 < $p_T$ < 5.0 GeV/c and 5.0 < $p_T$ < 8.0 GeV/c.

$D_{s}/D^{0}$ yield ratio as a function of $p_{T}$ in 40-80% centrality bin of Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 200 GeV. The $p_T$ bins are 1.5 < $p_T$ < 2.5 GeV/c, 2.5 < $p_T$ < 3.5 GeV/c, 3.5 < $p_T$ < 5.0 GeV/c and 5.0 < $p_T$ < 8.0 GeV/c.

$D_{s}/D^{0}$ yield ratio as a function of $p_{T}$ in 10-20% centrality bin of Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 200 GeV. The $p_T$ bins are 1.5 < $p_T$ < 2.5 GeV/c, 2.5 < $p_T$ < 3.5 GeV/c, 3.5 < $p_T$ < 5.0 GeV/c and 5.0 < $p_T$ < 8.0 GeV/c.

$D_{s}/D^{0}$ yield ratio as a function of $p_{T}$ in 20-40% centrality bin of Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 200 GeV. The $p_T$ bins are 1.5 < $p_T$ < 2.5 GeV/c, 2.5 < $p_T$ < 3.5 GeV/c, 3.5 < $p_T$ < 5.0 GeV/c and 5.0 < $p_T$ < 8.0 GeV/c.

The integrated $D_{s}/D^{0}$ yield ratio within 1.5 < $p_{T}$ < 5.0 GeV/c as a function of collision centrality. The centrality bins are 60-80%, 40-60%, 20-40%, 10-20% and 0-10%.

Centrality dependence of $\Lambda$ global polarization in Au+Au collisions at 200 GeV. Note that the results from previous measurement are rescaled using updated decay parameters (PDG2020), $\alpha_{\Lambda}$=0.732. The original data can be found in <a href="https://www.hepdata.net/record/ins1672785">this page</a>.

The $p_{T}$ dependance of $v_{4}^{Inclusive}$, $v_{4}^{Linear}$, $v_{4}^{Mode-coupled}$, $\chi_{4,22}$ and $\rho_{4,22}$

The $p_{T}$ dependance of $v_{5}^{Inclusive}$, $v_{5}^{Linear}$, $v_{5}^{Mode-coupled}$, $\chi_{5,23}$ and $\rho_{5,23}$

$m_{\rm inv}$ dependences of $\Delta\gamma$ in 20-50$\%$ Au+Au collisions at 200 GeV.

The $\pi$ pair $\Delta\gamma$ at $m_{\rm inv} > m_{\rm inv}^{\rm low}$ for the data identified by TPC and more extended $p_T$ range identified by TPC and TOF.

The elliptic flow $v_2$ in bins of $q_2$ for the three centrality bins in the 20-50$\%$ range of Au+Au collisions at 200 GeV.

$m_{\rm inv}$ dependences of the $\Delta\gamma$ from ESE-selected event samples A (50$\%$ largest $q_{2}$) and B (50$\%$ smallest $q_{2}$) in 20-50$\%$ Au+Au collisions at 200 GeV.

$m_{\rm inv}$ dependences of the $\rm \Delta\gamma_{A} - \Delta\gamma_{B}$ in 20-50$\%$ Au+Au collisions at 200 GeV.

$\Delta\gamma_{\rm A}$ versus $\Delta\gamma_{\rm B}$ in 20-50$\%$ Au+Au collisions at 200 GeV. (The data are arranged as function of mass)

The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 0.9\ TeV$ events with the unlike-charge reference sample for various multiplicity intervals $n_{ch}$ for the exponential parametrization $\Omega^{(E)}$. The uncertainties for parameters $\lambda$ and $R$ are square root from the quadratic sum of statistical and systematic errors. Where only one error is shown for parameters $C_{0}$ and $\epsilon$, this represents the statistical uncertainty only.

The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 7\ TeV$ events with the unlike-charge reference sample for various multiplicity intervals $n_{ch}$ for the exponential parametrization $\Omega^{(E)}$. The uncertainties for parameters $\lambda$ and $R$ are square root from the quadratic sum of statistical and systematic errors. The statistical uncertainties at $7\ TeV$ were corrected on the $\sqrt{\chi^{2}/ndf}$ and they more smaller than systematic uncertainties. Where only one error is shown for parameters $C_{0}$ and $\epsilon$, this represents the statistical uncertainty only.

The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 7\ TeV\ HM$ events with the unlike-charge reference sample for various multiplicity intervals $n_{ch}$ for the exponential parametrization $\Omega^{(E)}$. The uncertainties for parameters $\lambda$ and $R$ are square root from the quadratic sum of statistical and systematic errors. Where only one error is shown for parameters $C_{0}$ and $\epsilon$, this represents the statistical uncertainty only.

The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 0.9\ TeV$ ($n_{ch} \ge 2$) events with the unlike-charge reference sample for various $k_{T}$ intervals for the exponential parametrization $\Omega^{(E)}$. The uncertainties for parameters $\lambda$ and $R$ are square root from the quadratic sum of statistical and systematic errors. The statistical uncertainties were corrected on the $\sqrt{\chi^{2}/ndf}$ when $\chi^{2}/ndf > 1$. Where only one error is shown for parameters $C_{0}$ and $\epsilon$, this represents the statistical uncertainty only.

The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 7\ TeV$ ($n_{ch} \ge 2$) events with the unlike-charge reference sample for various $k_{T}$ intervals for the exponential parametrization $\Omega^{(E)}$. The uncertainties for parameters $\lambda$ and $R$ are square root from the quadratic sum of statistical and systematic errors. Where only one error is shown for parameters $C_{0}$ and $\epsilon$ , this represents the statistical uncertainty only. The statistical uncertainties were corrected on the $\sqrt{\chi^{2}/ndf}$ when $\chi^{2}/ndf > 1$. The statistical uncertainties at $7\ TeV$ more smaller than systematic uncertainties.

The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 7\ TeV\ HM$ ($n_{ch} \ge 150$) events with the unlike-charge reference sample for various $k_{T}$ intervals for the exponential parametrization $\Omega^{(E)}$. The uncertainties for parameters $\lambda$ and $R$ are square root from the quadratic sum of statistical and systematic errors. The statistical uncertainties were corrected on the $\sqrt{\chi^{2}/ndf}$ when $\chi^{2}/ndf > 1$.Where only one error is shown for parameters $C_{0}$ and $\epsilon$, this represents the statistical uncertainty only.

The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 7\ TeV$ events with the unlike-charge reference sample for various $k_{T}$ intervals of different multiplicity regions $n_{ch}$ for the exponential parametrization $\Omega^{(E)}$. The statistical uncertainties were corrected on the $\sqrt{\chi^{2}/ndf}$ when $\chi^{2}/ndf > 1$. The statistical uncertainties smaller than systematic uncertainties. The uncertainties for parameters $\lambda$ and $R$ are square root from the quadratic sum of statistical and systematic errors. Where only one error is shown for parameters $C_{0}$ and $\epsilon$, this represents the statistical uncertainty only.

The $Q$ distribution measured at $0.9\ TeV$ for unlike-sign pairs for $p_{T} > 100\ MeV$ and $|\eta|<2.5$, renormalized to the total number of charged-particle pairs. The error bars represents the statistical uncertainties.

The $Q$ distribution measured at $0.9\ TeV$ for like-sign pairs for $p_{T} > 100\ MeV$ and $|\eta|<2.5$, renormalized to the total number of charged-particle pairs. The error bars represents the statistical uncertainties.

The $Q$ distribution measured at $7\ TeV$ for unlike-sign pairs for $p_{T} > 100\ MeV$ and $|\eta|<2.5$, renormalized to the total number of charged-particle pairs. The error bars represents the statistical uncertainties.

The $Q$ distribution measured at $7\ TeV$ for like-sign pairs for $p_{T} > 100\ MeV$ and $|\eta|<2.5$, renormalized to the total number of charged-particle pairs. The error bars represents the statistical uncertainties.

The $R_{2}(Q)$ correlation function measured at $0.9\ TeV$ using unlike-charge particle reference sample for different $n_{ch}$ intervals $p_{T} > 100\ MeV$ and $|\eta|<2.5$. The error bars represents only the statistical uncertainties.

The $R_{2}(Q)$ correlation function measured at $0.9\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals with multiplicity $n_{ch} \ge 2$. The error bars represents only the statistical uncertainties.

The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different multiplicity intervals $n_{ch}$ with $p_{T} > 100\ MeV$ and $|\eta| < 2.5$. The error bars represents only the statistical uncertainties.

The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals with multiplicity $n_{ch} \ge 2$. The error bars represents only the statistical uncertainties.

The $R_{2}(Q)$ correlation function measured at $7\ TeV\ HM$ using unlike-charge particle reference sample for different $n_{ch}$ intervals $p_{T} > 100\ MeV$ and $|\eta|<2.5$. The error bars represents only the statistical uncertainties.

The $R_{2}(Q)$ correlation function measured with $7\ TeV\ HM$ data using unlike-charge particle reference sample for different $k_{T}$ intervals with multiplicity $n_{ch} \ge 150$. The error bars represents only the statistical uncertainties.

The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals within multiplicity interval $n_{ch} = 2-9$. The error bars represents only the statistical uncertainties.

The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals within multiplicity interval $n_{ch} = 10-24$. The error bars represents only the statistical uncertainties.

The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals within multiplicity interval $n_{ch} = 25-80$. The error bars represents only the statistical uncertainties.

The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals within multiplicity interval $n_{ch} = 81-125$. The error bars represents only the statistical uncertainties.

$\sqrt{s} = 7$ TeV, $p_T > 500 $ MeV, $|\eta|<2$.

$\sqrt{s} = 900$ GeV, $p_T > 500 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 7$ TeV, $p_T > 500 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 900$ GeV, $p_T > 500 $ MeV, $|\eta|<1$.

$\sqrt{s} = 7$ TeV, $p_T > 500 $ MeV, $|\eta|<1$.

$\sqrt{s} = 900$ GeV, $p_T > 500 $ MeV, $|\eta|<2$.

$\sqrt{s} = 7$ TeV, $p_T > 500 $ MeV, $|\eta|<2$.

$\sqrt{s} = 900$ GeV, $p_T > 500 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 7$ TeV, $p_T > 500 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 7$ TeV, $p_T > 100 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 7$ TeV, $p_T > 200 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 7$ TeV, $p_T > 300 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 7$ TeV, $p_T > 500 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 7$ TeV, $p_T > 1000 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 7$ TeV, $p_T > 1500 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 7$ TeV, $p_T > 2000 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 7$ TeV, $\eta$ interval: $0.0 - 0.5$.

$\sqrt{s} = 7$ TeV, $\eta$ interval: $0.5 - 1.0$.

$\sqrt{s} = 7$ TeV, $\eta$ interval: $1.0 - 1.5$.

$\sqrt{s} = 7$ TeV, $\eta$ interval: $1.5 - 2.0$.

$\sqrt{s} = 7$ TeV, $\eta$ interval: $2.0 - 2.5$.

$\sqrt{s} = 7$ TeV, $p_T > 100 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 900$ GeV, $p_T > 100 $ MeV, $|\eta|<2.5$.

$\sqrt{s} = 900$ GeV, $p_T > 100 $ MeV, $|\eta|<2.5$.

Corrected two particle RCORR distribution as a function of Delta(PHI) obtained by integrating the foreground and background distributions over Delta(ETARAP) between 0 and 2.

Corrected two particle RCORR distribution as a function of Delta(PHI) obtained by integrating the foreground and background distributions over Delta(ETARAP) between 2 and 5.