Hard scattering and stochastic reformulation of parton energy loss

Hard partons lose energy when propagating through the quark-gluon plasma by interacting with plasma particles. These parton-plasma interactions consist of frequent soft interactions and occasional hard scatterings. A reformulated parton energy loss model building on a stochastic description of soft interactions was derived recently in the weakly-coupled limit. We numerically implement this reformulated model and apply it in the phenomenological regime. We validate this model by testing the dependence of the parton energy loss on the cutoff between soft and hard interactions, at both small and large coupling, for a static brick as well as a realistic hydrodynamic medium.