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arXiv · 2111.01088

Asymptotics of transverse momentum broadening in dense QCD media

Paul Caucal
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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 $L$ limit, taking into account radiative corrections in the double logarithmic approximation. Thanks to a connection between the evolution of the jet quenching parameter $\hat{q}$ and the formation of traveling wave fronts in nonlinear physics, we obtain a formula for the $L$ dependence of the characteristic transverse momentum scale $Q_s$ of the distribution valid up to terms of order $1/\ln(L)$. We briefly discuss the physical implications of this formula for jet quenching and small-$x$ phenomenology.

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Paul Caucal. 2021-11-01. Asymptotics of transverse momentum broadening in dense QCD media. https://arxiv.org/abs/2111.01088

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