Jet fragmentation in a QCD medium: Universal quark/gluon ration and Wave turbulence

Abstract

We calculate the evolution of a jet shower due to medium induced splittings in the deep LPM regime. Due to the characteristic energy dependence of the formation time $t_{\mathrm{form}}(\omega )=\sqrt{\omega /\hat{\bar{q}}}$, the radiative break-up process exhibits turbulent characteristics, allowing for analytic predictions of various inclusive properties of the medium induced cascade in an inertial range of energies $T\ll \omega \ll E$, where $E$ is the energy of the jet and $T$ is the temperature of the medium.

Comments: Proceedings of the Hard Probes 2018 conference, 30 Sept. - 5 Oct. 2018, Aix-les-Bains, France; 4 pages, 2 figures