Radiative energy loss of heavy quark through soft gluon emission in QGP

TL;DR

This paper applies Low's theorem to analyze soft gluon emission from heavy quarks in quark-gluon plasma, deriving scattering cross sections and transport coefficients while ensuring gauge invariance.

Contribution

It introduces a method to calculate heavy quark energy loss in QGP using Low's theorem and the DQPM model, providing new insights into gluon emission effects.

Findings

Derived scattering cross sections for charm quarks with gluon emission.

Calculated transport coefficients including momentum drag and diffusion.

Confirmed gauge invariance through Slavnov-Taylor identities.

Abstract

The Low's theorem is applied to the soft gluon emission from heavy quark scattering in quark-gluon plasma (QGP). The QGP is described by the dynamical quasi-particle model (DQPM) which reproduces the EoS from lQCD at finite temperature and chemical potential. We show that if the emitted gluon is soft and of long wavelength, the scattering amplitude can be factorized into the scattering part and the emission part and the Slavnov-Taylor identities are satisfied in the leading order. Imposing a proper upper limit on the emitted gluon energy, we obtain the scattering cross sections of charm quark as well as the transport coefficients (momentum drag and diffusion) in the QGP with and without gluon emission.