Probabilistic picture of in-medium jet evolution

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 $\gamma =2\sqrt{{\alpha }_s{N}_c/\pi }$.

Comments: 4 pages, contribution to the proceedings of the 6th International Conference on Hard and Electromagnetic Probes of High-Energy Nuclear Collisions (Hard Probes 2013), 4 - 8 Nov 2013, Cape Town, South Africa