Non-linear dynamics of jet quenching

Abstract We develop a comprehensive analytic framework for jet quenching in QCD media, based on a medium-induced parton cascade sourced by collinear virtual splittings. We show that the energy flow out of the jet cone, driven by turbulent gluon cascades, is governed by a non-linear rate equation tha...

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Main Author: Yacine Mehtar-Tani
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2025)163
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author Yacine Mehtar-Tani
author_facet Yacine Mehtar-Tani
author_sort Yacine Mehtar-Tani
collection DOAJ
description Abstract We develop a comprehensive analytic framework for jet quenching in QCD media, based on a medium-induced parton cascade sourced by collinear virtual splittings. We show that the energy flow out of the jet cone, driven by turbulent gluon cascades, is governed by a non-linear rate equation that resums gluon splittings at arbitrary angles and is enhanced by the medium length, L. The solution of this equation sets the initial condition for a non-linear DGLAP-like evolution equation, which describes the collinear early vacuum cascade resolved by the medium at angles exceeding the medium resolution angle, θ c . For asymptotic jet energies, the medium-induced cascade displays an exponential behavior that generalizes the Poisson-like distribution of parton energy loss. This formulation enables the resummation of leading contributions in α s ln(1/R), and α s ln(R/θ c ), and powers of α s L. We briefly explore the limit of strong quenching, where analytic treatments are feasible, offering insights into the impact of parton cascades on jet quenching. These results provide guidance for future numerical simulations and analytical investigations.
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spelling doaj-art-4d6193d20eee4a75a299bd20d2fec6c12025-08-20T03:09:34ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025413110.1007/JHEP04(2025)163Non-linear dynamics of jet quenchingYacine Mehtar-Tani0Physics Department, Brookhaven National LaboratoryAbstract We develop a comprehensive analytic framework for jet quenching in QCD media, based on a medium-induced parton cascade sourced by collinear virtual splittings. We show that the energy flow out of the jet cone, driven by turbulent gluon cascades, is governed by a non-linear rate equation that resums gluon splittings at arbitrary angles and is enhanced by the medium length, L. The solution of this equation sets the initial condition for a non-linear DGLAP-like evolution equation, which describes the collinear early vacuum cascade resolved by the medium at angles exceeding the medium resolution angle, θ c . For asymptotic jet energies, the medium-induced cascade displays an exponential behavior that generalizes the Poisson-like distribution of parton energy loss. This formulation enables the resummation of leading contributions in α s ln(1/R), and α s ln(R/θ c ), and powers of α s L. We briefly explore the limit of strong quenching, where analytic treatments are feasible, offering insights into the impact of parton cascades on jet quenching. These results provide guidance for future numerical simulations and analytical investigations.https://doi.org/10.1007/JHEP04(2025)163FactorizationRenormalization GroupJets and Jet SubstructureQuark-Gluon PlasmaResummation
spellingShingle Yacine Mehtar-Tani
Non-linear dynamics of jet quenching
Journal of High Energy Physics
Factorization
Renormalization Group
Jets and Jet Substructure
Quark-Gluon Plasma
Resummation
title Non-linear dynamics of jet quenching
title_full Non-linear dynamics of jet quenching
title_fullStr Non-linear dynamics of jet quenching
title_full_unstemmed Non-linear dynamics of jet quenching
title_short Non-linear dynamics of jet quenching
title_sort non linear dynamics of jet quenching
topic Factorization
Renormalization Group
Jets and Jet Substructure
Quark-Gluon Plasma
Resummation
url https://doi.org/10.1007/JHEP04(2025)163
work_keys_str_mv AT yacinemehtartani nonlineardynamicsofjetquenching