Factorization of in-medium parton branching beyond the eikonal approximation

The description of the in-medium modifications of partonic showers is at the forefront of current theoretical and experimental efforts in heavy-ion physics. The theory of jet quenching, a commonly used alias for the modifications of the parton branching resulting from the interactions with the QGP, has been significantly developed over the last years. Within a weak coupling approach, several elementary processes that build up the parton shower evolution, such as single gluon emissions, interference effects between successive emissions and corrections to radiative energy loss off massive quarks, have been addressed both at eikonal accuracy and beyond by taking into account the Brownian motion that high-energy particles experience when traversing a hot and dense medium. In this work, by using the setup of single gluon emission from a color correlated quark-antiquark pair in a singlet state (q- q‾ antenna), we calculate the in-medium gluon radiation spectrum beyond the eikonal approximation. This allows to fully explore the physical interplay between broadening and coherence/decoherence effects. The results show that we are able to factorize broadening effects from the modifications of the radiation process itself. This provides a very strong indication that a probabilistic picture of parton shower evolution holds even in the presence of a QGP, a feature that is of the utmost importance for a successful future generation of Jet quenching Monte Carlos.