Probabilistic picture of in-medium jet evolution

preprint2014arXivOpen access

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 q^\hat q. In this framework, large radiative corrections to p⊥p_\perp-broadening of partons in the jet, enhanced by a double logarithm (DL) of the medium size LL, 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 L2+γL^{2+γ}, where the anomalous dimension γ=2αsNc/πγ=2\sqrt{α_sN_c/π}.

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