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arXiv · 2509.19850

Nonlinear dynamics of jet quenching

Yacine Mehtar-Tani
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Abstract

We present an analytic framework for jet quenching in dense QCD matter that unifies medium-induced branching with vacuum collinear evolution. Energy transported outside the jet region is governed by a non-linear rate equation that resums arbitrary-angle gluon splittings, each enhanced by the medium length $L$. We show that for asymptotically large energies the energy-loss distribution for a single hard parton exhibits an exponential (generalized Poisson) behavior that provides the initial condition for a non-linear, DGLAP-like evolution that resums collinear logarithms associated with early in-vacuum fragmentation and with the angular resolution of the medium. This framework allows a systematic resummation of parton branching contributions to jet energy loss.

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Yacine Mehtar-Tani. 2025-09-24. Nonlinear dynamics of jet quenching. https://arxiv.org/abs/2509.19850

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