Medium induced gluon spectrum in the Improved Opacity Expansion

TL;DR

This paper introduces the Improved Opacity Expansion (IOE), a unified theoretical framework that extends existing models to accurately compute medium-induced gluon spectra across different interaction regimes in jet quenching.

Contribution

The paper presents the IOE, extending the Opacity Expansion to include regimes beyond the hard momentum transfer tail, unifying dense and dilute medium descriptions.

Findings

Derived the medium-induced gluon spectrum using IOE

Extended the Opacity Expansion to cover broader regimes

Provided a key theoretical result for jet quenching

Abstract

Over the last decades, analytical calculations of jet quenching observables have always needed to make a distinction between dense or dilute mediums. Although there are different theoretical formalisms suited for each one of these scenarios, taking into account multiple soft and single hard interactions between the probe and the background under a single approach has proven to be a difficult task. In this talk, we will introduce the Improved Opacity Expansion (IOE), which extends the well established Opacity Expansion framework beyond the hard momentum transfer tail, including the regime captured by the BDMPS-Z/ASW approximation. We will focus on the application of the IOE to the computation of the single gluon medium induced spectrum from a hard parton, which constitutes one of the most important theoretical results in jet quenching theory.