Asymptotics of transverse momentum broadening in dense QCD media

Caucal, Paul

doi:10.21468/SciPostPhysProc.10.018

Title: Asymptotics of transverse momentum broadening in dense QCD media

Journal Article · 10 August 2022 · SciPost Physics Proceedings

DOI: https://doi.org/10.21468/SciPostPhysProc.10.018 · OSTI ID:1880696

Caucal, Paul ^[1]

Brookhaven National Laboratory

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 $L$ 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} $\hat{q}$ and the formation of traveling wave fronts in nonlinear physics, we obtain a formula for the L $L$ dependence of the characteristic transverse momentum scale Q_s $Q_{s}$ 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- x $x$ phenomenology.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0012704

OSTI ID:: 1880696

Journal Information:: SciPost Physics Proceedings, Journal Name: SciPost Physics Proceedings Journal Issue: 10; ISSN 2666-4003

Publisher:: Stichting SciPostCopyright Statement

Country of Publication:: Netherlands

Language:: English

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