# Jet fragmentation in a QCD medium: Universal quark/gluon ration and Wave turbulence

## TL;DR

This paper models jet shower evolution in a QCD medium, revealing turbulent behavior and universal quark/gluon ratios, with analytic predictions for cascade properties in a specific energy range.

## Contribution

It introduces an analytic framework for jet fragmentation in a medium, highlighting turbulence and universal ratios in the cascade process.

## Key findings

- Identification of turbulent characteristics in jet fragmentation
- Analytic predictions for inclusive cascade properties
- Universal quark/gluon ratio in the medium-induced cascade

## Abstract

We calculate the evolution of a jet shower due to medium induced splittings in the deep LPM regime. Due to the characteristic energy dependence of the formation time $t_{\rm form}(\omega)= \sqrt{\omega /\hat{\bar{q}}}$, the radiative break-up process exhibits turbulent characteristics, allowing for analytic predictions of various inclusive properties of the medium induced cascade in an inertial range of energies $T \ll \omega \ll E$, where $E$ is the energy of the jet and $T$ is the temperature of the medium.