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arXiv · 2203.09407

Universality aspects of quantum corrections to transverse momentum broadening in QCD media

Paul Caucal·Yacine Mehtar-Tani
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Abstract

We study non-linear quantum corrections to transverse momentum broadening (TMB) of a fast parton propagating in dense QCD matter in the leading logarithmic approximation. These non-local corrections yield an anomalous super-diffusive behavior characterized by a heavy tailed distribution which is associated with L\'{e}vy random walks. Using a formal analogy with the physics of traveling waves, we show that at late times the transverse momentum distribution tends to a universal scaling regime. We derive analytic solutions in terms of an asymptotic expansion around the scaling limit for both fixed and running coupling. We note that our analytic approach yields a good agreement with the exact numerical solutions down to realistic values of medium length. Finally, we discuss the interplay between system size and energy dependence of the diffusion coefficient $\hat q$ and its connection with the gluon distribution function that is manifest at large transverse momentum transfer.

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Paul Caucal, Yacine Mehtar-Tani. 2022-03-17. Universality aspects of quantum corrections to transverse momentum broadening in QCD media. https://doi.org/10.1007/jhep09(2022)023

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