Deciphering the role of multiple scatterings and time delays in the in-medium emission process

TL;DR

This paper analyzes how multiple scatterings and time delays influence in-medium radiation processes, using all-order resummation of the BDMPS-Z spectrum to understand different energy regimes and the effects of delayed medium formation.

Contribution

It provides a comprehensive all-order resummed analysis of the in-medium emission spectrum, highlighting the importance of multiple scatterings and the impact of medium formation delays.

Findings

Multiple scatterings are crucial in low and mid-energy regimes.

Single hard scattering suffices in high-energy regime.

Propagation delays induce additional medium-induced radiation.

Abstract

In this work we use the all-order resummed solution of the BDMPS-Z spectrum to shed light on the dynamics that controls the in-medium radiation process for each kinematical regime. We find that multiple scatterings are essential to correctly describe the radiation process both in the low and mid-energy regime, while in the high-energy region one single hard scattering is enough. Furthermore, we compute the all-order spectrum when the medium is produced with a time delay with respect to the hard process in which the parent parton was created. The propagation of the hard parton though vacuum before the medium formation induces extra medium-induced radiation which might have an impact on phenomenological analyses.