# Renormalization of the jet-quenching parameter

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, $\sim\alpha_s \ln^2 L/\tau_0$, that were recently identified in the study of $p_\perp$-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 $L^{2+\gamma}$, with $\gamma=2\sqrt{N_c \alpha_s/\pi}$, as compared to the standard scaling in $L^2$.
Document type :
Preprints, Working Papers, ...
Domain :

https://hal-cea.archives-ouvertes.fr/cea-00979495
Contributor : Emmanuelle de Laborderie <>
Submitted on : Wednesday, April 16, 2014 - 10:36:46 AM
Last modification on : Monday, February 10, 2020 - 6:13:39 PM

### Identifiers

• HAL Id : cea-00979495, version 1
• ARXIV : 1403.2323

### Citation

Jean-Paul Blaizot, Yacine Mehtar-Tani. Renormalization of the jet-quenching parameter. 2014. ⟨cea-00979495⟩

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