Medium-induced parton splitting in expanding QCD matter

TL;DR

This paper calculates how partons split in an expanding quark-gluon plasma using advanced theoretical methods, revealing how medium expansion affects splitting rates compared to static conditions.

Contribution

It extends the BDMPS-Z formalism to include medium expansion effects on parton splitting rates in QCD matter.

Findings

Medium expansion reduces splitting rates compared to static medium.

Different approximations recover known limits of small and large formation times.

Provides a framework for more accurate jet quenching models in heavy-ion collisions.

Abstract

Using the approach derived by Caron-Huot and Gale from the BDMPS-Z formalism, we obtain medium-induced parton splitting rates in a Bjorken expanding QCD matter. We compare the rate with the case of a static medium and investigate the impact of the medium expansion on the splitting rate. We also consider the leading order in the opacity expansion and the harmonic oscillator solution. These approximations are recovered in the limits of small and large formation times, respectively.