Medium-induced emissions of hard gluons

TL;DR

This paper derives a comprehensive spectrum for medium-induced gluon emissions, extending beyond soft emissions, and explores the transition to hard gluon emissions using path integrals and multiple soft scattering approximations.

Contribution

It introduces a new derivation of the gluon radiation spectrum that includes hard emissions and provides an interpolating model between soft and hard regimes.

Findings

Landau-Pomeranchuk-Migdal effect observed

Analytical and numerical results presented

Interpolating ansatz between soft and hard emissions

Abstract

We present a derivation of the medium-induced gluon radiation spectrum beyond the current limitation of soft gluon emission. Making use of the path integral approach to describe the propagation of high-energy particles inside a medium, we study the limiting case of a hard gluon emission. Analytical and numerical results are presented and discussed within the multiple soft scattering approximation. An ansatz interpolating between soft and hard gluon emissions is provided. The Landau-Pomeranchuk-Migdal effect is observed in the expected kinematic region.