Jet quenching parameter in an expanding QCD plasma

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 $\eta$ (the pseudo-rapidity) and $\varphi$ (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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Cited by in corpus (13)

• Deciphering the $z_g$ distribution in ultrarelativistic heavy ion collisions
• Jet radiation in a longitudinally expanding medium
• Jet quenching parameter in QCD kinetic theory
• Strong- vs. weak-coupling pictures of jet quenching: a dry run using QED
• Medium induced QCD cascades: broadening and rescattering during branching
• Jet evolution in a dense QCD medium
• Radiative $p_{\perp }$-broadening of fast partons in an expanding quark-gluon plasma
• Hard gluon evolution in the last stage of the bottom-up thermalization
• Hard gluon evolution in warming medium
• Early Time Dynamics and the Bulk
• Universality aspects of quantum corrections to transverse momentum broadening in QCD media
• Anomalous diffusion in QCD matter
• Jet evolution in a quantum computer: quark and gluon dynamics