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arXiv · 1806.07177

Jet quenching parameter in an expanding QCD plasma

Edmond Iancu·Pieter Taels·Bin Wu
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Abstract

We study the phenomenon of transverse momentum broadening for a high-$p_T$ parton propagating through a weakly-coupled quark-gluon plasma undergoing boost-invariant longitudinal expansion. We propose a boost-invariant description for this phenomenon, in which the broadening refers to the angular variables $η$ (the pseudo-rapidity) and $ϕ$ (the azimuthal angle). The jet quenching parameter $\hat{q}$ which enters this description depends upon the proper time alone. We furthermore consider radiative corrections to $\hat q$. As in the case of a static medium, we find potentially large corrections enhanced by a double logarithm. But unlike for the static medium, these corrections are now local in time: they depend upon the local (proper) time characterizing the expansion, and not upon the overall path length. We resum such corrections to all orders into a renormalized jet quenching parameter. The main effect of this resummation is to slow down the decrease of $\hat q$ with increasing proper time.

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Edmond Iancu, Pieter Taels, Bin Wu. 2018-06-19. Jet quenching parameter in an expanding QCD plasma. https://doi.org/10.1016/j.physletb.2018.10.007

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