Applying hard-soft factorized parton energy loss model beyond weak coupling

The quark-gluon plasma produced in heavy ion collisions is understood to be strongly coupled, so that even the energy loss of a very energetic parton can be affected by non-perturbative effects. Generally, soft interactions with small momentum transfer are expected to suffer from much larger non-perturbative effects than hard interactions. Because of the large number of soft interactions, they can be described as a diffusion process with a few transport coefficients; these transport coefficients can capture any non-perturbative effects, agnostic to the strongly- or weakly-coupled nature of the underlying deconfined plasma. In this work, we implement a systematic factorization of the hard and soft interactions which combines a stochastic description of soft interactions and rate-based modelling of hard scatterings. We introduce a scale to estimate the regime of validity of the stochastic description, allowing for a better understanding of the model's applicability at small and large coupling. We compare this model to measurements using realistic hydrodynamic simulation of the strongly-coupled plasma.