# Higher-order corrections to heavy-quark jet quenching

## TL;DR

This paper calculates higher-order in-medium corrections to heavy-quark jet quenching, revealing a mass-dependent scale that distinguishes light and heavy quark energy loss in the medium, with double-logarithmic corrections at high energies.

## Contribution

It introduces a new scale-dependent correction framework for heavy-quark jet quenching within the BDMPS-Z formalism, highlighting differences from light quark energy loss.

## Key findings

- Corrections depend on a single mass-scale $m_ = (q L)^{1/2}$.
- Heavy and light quark jets are quenched differently based on their mass relative to $m_$.
- High-energy corrections are double-logarithmic and similar in magnitude to massless cases.

## Abstract

We calculate higher-order corrections to the quenching factor of heavy-quark jets due to hard, in-medium splittings in the framework of the BDMPS-Z formalism. These corrections turn out to be sensitive to a single mass-scale $m_\ast = (\hat q L)^{1/2}$, where $\hat q$ is the medium transport coefficient and $L$ the path length, and allow to draw a distinction between the way light, with $m < m_\ast$ (in contrast to massless $m=0$), and genuinely heavy, with $m > m_\ast$, quark jets are quenched in the medium. We show that the corrections to the quenching factor at high energies are double-logarithmic and qualitatively of the same order as for the massless quark jet.