System of evolution equations for quark and gluon jet quenching with broadening

TL;DR

This paper develops a new system of evolution equations for quark and gluon jet quenching in a medium, solves them via Monte Carlo methods, and analyzes differences in jet collimation and energy distribution.

Contribution

It introduces a novel set of evolution equations for in-medium fragmentation functions and provides their Monte Carlo solutions, highlighting differences between quark and gluon jets.

Findings

Gluon-initiated jets contain less energy in a cone.

Quark jets are more collimated than gluon jets.

The solutions reveal distinct transverse momentum behaviors.

Abstract

We propose a system of evolution equations that describe in-medium time-evolution of transverse-momentum-dependent quark and gluon fragmentation functions. Furthermore, we solve this system of equations using Monte Carlo methods. We then quantify the obtained solutions in terms of a few characteristic features, namely the average transverse momentum $\langle |k|\rangle$ and energy contained in a cone, which allow us to see different behaviour of quark and gluon initiated final-state radiation. In particular, the later allows us to conclude that in the gluon-initiated processes there is less energy in a cone, so that the quark jet is more collimated.