Heavy quark dynamics in a strongly magnetized quark-gluon plasma

TL;DR

This paper calculates how heavy quarks diffuse and lose energy in a hot, magnetized quark-gluon plasma, using advanced theoretical techniques to account for strong magnetic fields and quark motion directions.

Contribution

It introduces a novel calculation of heavy quark diffusion coefficients in a strongly magnetized medium using the LLL approximation and HTL resummation, extending previous models.

Findings

Derived analytical expressions for diffusion coefficients and energy losses.

Numerical results for charm and bottom quarks in different magnetic field orientations.

Enhanced understanding of heavy quark behavior in magnetized quark-gluon plasma.

Abstract

We present a calculation of the heavy quark momentum diffusion coefficients in a quark-gluon plasma under the presence of a strong external magnetic field, within the Lowest Landau Level (LLL) approximation. In particular, we apply the Hard Thermal Loop (HTL) technique for the resummed effective gluon propagator, generalized for a hot and magnetized medium. Using the derived effective HTL gluon propagator and the LLL quark propagator we analytically derive the full results for the longitudinal and transverse momentum diffusion coefficients as well as the energy losses for charm and bottom quarks beyond the static limit. We also show numerical results for these coefficients in two special cases where the heavy quark is moving either parallel or perpendicular to the external magnetic field.