The observation of jet quenching in heavy-ion collisions in the early 2000's has provided great evidence in favour of the proposal that a quark-gluon plasma (QGP) is created in such experiments. Moving forward, however, in order to obtain a better understanding of the jet quenching process, it is desirable to more precisely quantify the jet-medium interactions and moreover their impact on jet energy loss calculations. During this talk, I will highlight how these energy loss calculations are controlled by two objects: the asymptotic mass of the jet particle and the transverse momentum broadening kernel, which is closely related to the transverse momentum broadening coefficient. I will then sketch how a recent insight [1] has allowed classical corrections to the aforementioned quantities to be computed in electrostatic QCD (EQCD), both perturbatively and through numerical lattice methods. I will follow by demonstrating how this is related to the work carried out during my thesis, namely, the determination of higher-order quantum corrections to the asymptotic mass and the transverse momentum broadening coefficient within the setting of thermal field theory [2,3].

[1]: Caron-Huot, arxiv: 0811.1603
[2]: Ghiglieri, Weitz, arxiv: 2207.08842
[3]: Ghiglieri, Moore, Schicho, Schlusser, Weitz, arxiv: 2307.09297