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Renormalization of the jet-quenching parameter

2014/03/31 by Jean-Paul Blaizot, Yacine Mehtar-Tani · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Jet (fluid) #Jet quenching #Mathematical physics #Numerical methods in inverse problems #Particle physics #Physics #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark–gluon plasma #Quenching (fluorescence) #Renormalization #Statistical physics #Thermodynamics #hep-ph #nucl-th

paper · pdf · doi:10.1016/j.nuclphysa.2014.05.018

27 pages, 14 figures. Some rewriting to improve the clarity of the presentation. New figures added. A short discussion of the large N_c limit included. Typos corrected

arxiv created 2014/05/14 · openalex publication_date 2014/06/04 · arxiv updated 2015/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the radiative processes that affect the propagation of a high energy gluon in a dense medium, such as a quark-gluon plasma. In particular, we investigate the role of the large double logarithms corrections, ∼αs ln2 L/τ0, that were recently identified in the study of p_⊥-broadening by Liou, Mueller and Wu. We show that these large corrections can be reabsorbed in a renormalization of the jet quenching parameter controlling both momentum broadening and energy loss. We argue that the probabilistic description of these phenomena remains valid, in spite of the large non-locality in time of the radiative corrections. The renormalized jet-quenching parameter is enhanced compared to its standard perturbative estimate. As a particular consequence, the radiative energy loss scales with medium size L as L2+γ, with γ=2√(αs Nc /π), as compared to the standard scaling in L2.

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