Heavy quark transport coefficients in a viscous QCD medium with collisional and radiative processes

TL;DR

This study investigates how shear viscosity affects heavy quark transport coefficients, including drag and diffusion, in a viscous QCD medium with collisional and radiative processes, using a quasiparticle model aligned with lattice QCD data.

Contribution

It introduces a comprehensive analysis of viscous effects on heavy quark transport coefficients considering both collisional and radiative processes within a quasiparticle model.

Findings

Viscous corrections significantly influence heavy quark drag and diffusion coefficients.

Transport coefficients are sensitive to the shear viscosity of the QGP.

Both collisional and radiative energy losses are affected by viscous effects.

Abstract

The heavy quark drag and momentum diffusion coefficients in the presence of both the collisional and radiative processes have been studied in a hot viscous QCD medium. The thermal medium effects are incorporated by employing the effective fugacity quasiparticle model based on the lattice QCD equation of state. Viscous effects are embedded into the heavy quark transport through the near-equilibrium distribution functions of the constituent medium particles of the quark-gluon plasma. The viscous corrections to the momentum distributions have been estimated from the effective Boltzmann equation. The effect of shear viscous correction to drag and diffusion is investigated by considering the soft gluon radiation by heavy quarks along with the elastic collisional processes of the heavy quark with the light quarks and gluons within the QGP medium. The momentum and temperature dependence of the heavy quark transport coefficients are seen to be sensitive to the viscous coefficient of the QGP for the collisional and radiative processes. The collisional and radiative energy loss of the heavy quark in the viscous quark-gluon plasma has also been explored.