Abstract
We study the asymptotic behaviour of the transverse momentum broadening distribution of an energetic quark or gluon propagating through dense QCD matter, in the large system size LL limit, taking into account radiative corrections in the double logarithmic approximation. Thanks to a connection between the evolution of the jet quenching parameter \hat{q}q̂ and the formation of traveling wave fronts in nonlinear physics, we obtain a formula for the LL dependence of the characteristic transverse momentum scale Q_sQs of the distribution valid up to terms of order 1/\ln(L)1/ln(L). We briefly discuss the physical implications of this formula for jet quenching and small-xx phenomenology.
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