Cumulants of mean transverse momentum and elliptic flow in the hydrodynamic model of heavy-ion collisions
Phys. Rev. C 114, 034910 – Published 11 September, 2026
DOI: https://doi.org/10.1103/3d6w-hxs8
Abstract
Higher-order cumulants between the mean transverse momentum and elliptic flow are calculated in a relativistic viscous hydrodynamic model of relativistic heavy-ion collisions. The results of the hydrodynamic simulations are compared with calculations using event-by-event predictors of the final collective observables constructed from the initial-state entropy distribution. The predictors describe quantitatively the centrality dependence of the higher cumulants considered in the paper. We derive quantitative relations between the cumulants of the mean transverse momentum and different moments of the harmonic flow. The hydrodynamic model results satisfy those relations very well. Those relations could be used to test experimentally the collective origin of the observed correlations between the mean transverse momentum and harmonic flow.