# Energy loss of heavy quarks in the isotropic collisional hot QCD medium

## TL;DR

This paper investigates the collisional energy loss of heavy quarks in a hot QCD medium using semi-classical transport theory, highlighting the effects of medium properties and comparing different collisional kernels.

## Contribution

It introduces a detailed calculation of heavy quark energy loss incorporating medium effects with a quasi-particle model and compares BGK and RTA kernels for the first time.

## Key findings

- Energy loss increases with quark momentum and collisional frequency.
- Bottom quarks lose less energy than charm quarks at the same momentum.
- Medium effects significantly influence energy loss calculations.

## Abstract

Collisional energy loss of heavy partons (charm and bottom quarks) has been determined within the framework of semi-classical transport theory implying Bhatnagar-Gross-Krook (BGK) collisional kernel. Hot QCD medium effects have been incorporated while employing a quasi-particle description of the medium in terms of effective gluons, quarks and antiquarks with respective temperature dependent effective fugacities. The momentum dependence of the energy loss for charm and bottom quark has been investigated. It is observed that with the increase in momentum of the heavy quarks, the loss increases sharply for the smaller values and reaches a saturation later. Further, as compared to the charm quark, bottom quark losses less energy at a particular momentum and collisional frequency. The energy loss is seen to increase with increasing collisional frequency. We also provide a comparative study of the results obtained using BGK-kernel than those using relaxation time approximation (RTA)-kernel and found them consistent with each other. The medium effects in all the situations are seen to play quite significant role.