Extraction of the specific shear viscosity of quark-gluon plasma from two-particle transverse momentum correlations

Abstract

The specific shear viscosity, \(\eta/s\), of the quark-gluon plasma formed in ultrarelativistic heavy-ion collisions at RHIC and LHC is estimated based on the progressive longitudinal broadening of transverse momentum two-particle correlators, \(G_2\), reported as a function of collision centrality by the STAR and ALICE experiments. Estimates are computed as a function of collision centrality using the Gavin ansatz which relates the \(G_2\) longitudinal broadening to the specific shear viscosity. Freeze out times required for the use of the ansatz are computed using a linear fit of freeze out times reported as a function of the cubic root of the charged particle pseudorapidity density (\({\rm d}N_{\rm ch}\)/d\(\eta)^{1/3}\). Estimates of \(\eta/s\) based on ALICE data exhibit little to no dependence on collision centrality at LHC energy, while estimates obtained from STAR data hint that \(\eta/s\) might be a function of collision centrality at top RHIC energy.