Probabilistic picture of in-medium jet evolution

TL;DR

This paper discusses a probabilistic framework for in-medium jet evolution driven by multiple scatterings and branchings, incorporating large radiative corrections and showing that energy loss scales anomalously with medium size.

Contribution

It introduces a universal approach to include large radiative corrections in the probabilistic model of jet quenching, modifying the scaling of energy loss with medium size.

Findings

Radiative corrections can be absorbed into a renormalized jet quenching parameter.

Large media lead to an energy loss scaling as L^{2+γ} with an anomalous dimension γ.

The probabilistic picture remains valid despite non-local corrections.

Abstract

We briefly discuss the recently developed probabilistic picture for in-medium jet evolution that is driven by independent multiple scatterings and branchings. These are controlled by the jet quenching parameter $\hat q$. In this framework, large radiative corrections to $p_\perp$-broadening of partons in the jet, enhanced by a double logarithm (DL) of the medium size $L$, are recovered. We argue that these non-local corrections are universal and can be reabsorbed in a renormalization of the jet quenching parameter without spoiling the probabilistic picture. As a consequence, we find that for large media, the mean radiative energy loss result scales as $L^{2+\gamma}$, where the anomalous dimension $\gamma=2\sqrt{\alpha_sN_c/\pi}$.