Effect of transverse momentum conservation and flow on symmetric cumulants $s{c}_{2,3}\left\{4\right\}$ and $s{c}_{2,3,4}\left\{6\right\}$

Abstract

Symmetric cumulants can improve our understanding of the joint probability distribution function $P\left(v_m,v_n,v_k,\dots ,{\Psi }_m,{\Psi }_n,{\Psi }_k,\dots \right)$, potentially offering new insights into the nature of the fluctuations of the quark-gluon plasma produced in relativistic heavy-ion collisions. In this work, the four-particle symmetric cumulants $s{c}_{2,3}\left\{4\right\}$, six-particle symmetric cumulants $s{c}_{2,3,4}\left\{6\right\}$, and the normalized cumulants $ns{c}_{2,3}\left\{4\right\}$ and $ns{c}_{2,3,4}\left\{6\right\}$ originating from transverse momentum conservation, collective flow, and the interplay between the two effects are calculated. Our results on $s{c}_{2,3}\left\{4\right\}$ are consistent with the ATLAS data using the subevent cumulant method, facilitating a more profound understanding of the origins of the symmetric cumulant in small systems. Our results on $s{c}_{2,3,4}\left\{6\right\}$ serve as theoretical predictions for future experimental measurements in small systems.

28 pages, 4 figures, final published version

References in corpus (26)

• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV
• The ridge in proton-proton collisions at the LHC
• Has the QCD Critical Point been Signaled by Observations at RHIC ?
• The centrality dependence of elliptic flow, the hydrodynamic limit, and the viscosity of hot QCD
• Elliptic and triangular flow in p+Pb and peripheral Pb+Pb collisions from parton scatterings
• Azimuthal correlations from transverse momentum conservation and possible local parity violation
• $v_4$, $v_5$, $v_6$, $v_7$: nonlinear hydrodynamic response versus LHC data
• Long-range azimuthal correlations in proton-proton and proton-nucleus collisions from the incoherent scattering of partons
• Event-shape fluctuations and flow correlations in ultra-relativistic heavy-ion collisions
• Global Conservation Laws and Femtoscopy of Small Systems
• Higher harmonic non-linear flow modes of charged hadrons in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Correlation coefficient between harmonic and transverse flow in heavy-ion collisions
• Conservation Laws and the Multiplicity Evolution of Spectra at the Relativistic Heavy Ion Collider
• High order cumulants of the azimuthal anisotropy in the dilute-dense limit: Connected graphs
• Multi-harmonic correlations of different flow amplitudes in Pb-Pb collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=2.76$ TeV
• Measures of azimuthal anisotropy in high-energy collisions
• Higher order cumulants of transverse momentum and harmonic flow in relativistic heavy ion collisions
• Probe nuclear structure using the anisotropic flow at the Large Hadron Collider
• Beam energy dependence of the linear and mode-coupled flow harmonics in Au+Au collisions
• Collectivity in large and small systems formed in ultrarelativistic collisions
• Elliptic flow coefficients from transverse momentum conservation
• Higher-order correlations between different moments of two flow amplitudes in Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Symmetry plane correlations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Multiparticle azimuthal cumulants from transverse momentum conservation and collective flow
• Symmetric cumulant $s{c}_{2,4}\left\{4\right\}$ and asymmetric cumulant $a{c}_2\left\{3\right\}$ from transverse momentum conservation and flow