# Gluon emission by a $q\bar{q}$ antenna with realistic parton-medium interactions

## TL;DR

This paper develops a numerical approach to compute gluon emission spectra from a quark-antiquark pair in a medium, moving beyond simplified models to improve understanding of in-medium parton cascades and jet quenching.

## Contribution

It introduces a formalism that solves differential equations for gluon emission spectra without relying on harmonic oscillator approximations, allowing for realistic interaction modeling.

## Key findings

- Breakdown of colour coherence across phase-space
- Transverse momentum and energy distributions of emitted gluons provided
- Enhanced precision in jet observable predictions

## Abstract

The spectrum of coherent gluon radiation from a quark-anti-quark pair experiencing multiple scatterings within a coloured medium is central for understanding in-medium parton cascades. Despite its foundational importance, current results are limited by reliance on simplified scattering rates, such as the harmonic oscillator approximation, valid only in restricted phase-space regions. Using the formalism introduced in a previous article, we express the gluon emission spectrum as a set of differential equations that can be solved numerically, circumventing conventional approximations. We present the transverse momentum and energy distributions of emitted gluons for realistic interaction models, illustrating the breakdown of colour coherence across the entire accessible phase-space, and consequently enabling a higher-precision description of jet observables.