Full solution of the medium-induced radiation spectrum

TL;DR

This paper introduces a new computational method to accurately calculate the medium-induced gluon radiation spectrum, accounting for all multiple scatterings, which enhances the precision of jet quenching models at high-energy colliders.

Contribution

A novel flexible approach to compute the full gluon spectrum with realistic interaction potentials, enabling comprehensive resummation of multiple scatterings for the first time.

Findings

Allows precise quantification of all-order multiple scattering effects

Enables realistic modeling of medium-induced radiation spectrum

Facilitates improved phenomenological studies of jet quenching

Abstract

New measurements of jet quenching observables at RHIC and at the LHC, such as jet substructure observables, demand an increased precision in the theory calculations describing medium-induced radiation of gluons. Closed expressions for the gluon spectrum including a full resummation of multiple scatterings have been known for the past 20 years. Still they have only been evaluated in specific limits either taking a few terms in an opacity expansion or by employing a Gaussian approximation for the interaction potential -- which misses essential physical effects. We present here a new flexible method to compute the full spectrum for a realistic interaction potential, thus allowing us for the first time to properly quantify the effect of the all-order resummation of multiple scatterings. This new approach paves the way for precision phenomenological studies including multiple scattering effects such as coherence phenomena.