Jet quenching and scaling properties of medium-evolved gluon cascade in expanding media

TL;DR

This paper investigates how the expansion of deconfined media affects gluon emission spectra and jet suppression, using the BDMPS-Z formalism across different medium types, revealing scaling behaviors and their impact on jet quenching observables.

Contribution

It introduces a detailed analysis of medium expansion effects on gluon radiation and jet suppression, deriving scaling laws for splitting kernels and jet quenching parameters.

Findings

Scaling behavior of splitting kernels in different regimes.

Impact of medium expansion on jet $Q_{AA}$.

Effective quenching parameter scaling for full radiation phase space.

Abstract

We present a study of the impact of the expansion of deconfined medium on single-gluon emission spectra and the jet suppression factor ($Q_{AA}$) within the BDMPS-Z formalism. These quantities are calculated for three types of media (static medium, exponentially decaying medium and Bjorken expanding medium). The distribution of medium-induced gluons and the jet $Q_{AA}$ are calculated using the evaluation of in-medium evolution with splitting kernels derived from the gluon emission spectra. Scaling behavior of splitting kernels is derived for low-x and high-x regimes in the asymptote of large times and its impact on the resulting jet $Q_{AA}$ is discussed. For the full phase space of the radiation, the scaling of jet $Q_{AA}$ with an effective quenching parameter is presented.