Renormalization of the jet-quenching parameter

Jean-Paul Blaizot; Yacine Mehtar-Tani

doi:10.1016/j.nuclphysa.2014.05.018

paper

Renormalization of the jet-quenching parameter

arXiv:1403.2323 · doi:10.1016/j.nuclphysa.2014.05.018

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, $\sim α_{s} ln^{2} L / τ_{0}$ , 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 $L^{2 + γ}$ , with $γ = 2 α_{s} N_{c} / π$ , as compared to the standard scaling in $L^{2}$ .

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

Renormalization of the jet-quenching parameter

Abstract

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