Soft Gluon Radiation off Heavy Quarks beyond Eikonal Approximation

TL;DR

This paper extends the understanding of soft gluon radiation from heavy quarks in quark-gluon plasma by going beyond the small-angle approximation, providing a more comprehensive formula applicable to large scattering angles.

Contribution

It generalizes the dead-cone radiation formula for heavy quarks to include large-angle scatterings, enhancing the modeling of energy loss in quark-gluon plasma.

Findings

Reproduces existing gluon radiation formulas in proper limits.

Provides a generalized radiation spectrum applicable to large scattering angles.

Improves theoretical tools for heavy quark energy loss studies.

Abstract

We calculate the soft gluon radiation spectrum off heavy quarks (HQs) interacting with light quarks (LQs) beyond small angle scattering (eikon- ality) approximation and thus generalize the dead-cone formula of heavy quarks extensively used in the literatures of Quark-Gluon Plasma (QGP) phenomenology to the large scattering angle regime which may be im- portant in the energy loss of energetic heavy quarks in the deconfined Quark-Gluon Plasma medium. In the proper limits, we reproduce all the relevant existing formulae for the gluon radiation distribution off energetic quarks, heavy or light used in the QGP phenomenology.