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Renormalization of the jet-quenching parameter

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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 $L^2$.

Dates and versions

cea-00979495 , version 1 (16-04-2014)

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