  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 $\gamma=2\sqrt{\alpha_sN_c/\pi}$.
