Speaker
Description
In-medium parton splitting functions (PSFs) are a central ingredient in the description of the propagation of jets inside the quark-gluon plasma. Despite their critical importance, these objects have only been computed under a set of strong approximations concerning both the kinematics and the medium. In this talk, we present a novel approach so as to obtain the medium-induced modification factor on the PSFs for all QCD splittings channels in finite-$N_c$, with full kinematics and flexibility on the medium model. In our method, we formulate the problem as a set of time-evolution equations as done in [1], where we then employ advanced numerical methods (such as the Faber polynomial expansion of evolution operators [2]) in order to obtain fast, precise and stable results in all the phase space. This calculation goes significantly beyond the state-of-the-art by delivering the first complete leading-order calculation of the medium-induced spectrum. Furthermore, we assess the size of the corrections with respect to the usual approximations, where significant impacts are found both on the PSF description and on the observable level, such as the energy-energy correlators, which are also shown and confronted with experimental results.
[1] JHEP 09 (2023) 049
[2] arXiv:physics/0512074v1 [physics.comp-ph]