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Collisional broadening in QCD plasmas leads to the emission of medium inducedradiation, which governs the energy loss of highly energetic particles or jets.While recent studies have obtained non-perturbative contributions to thecollisional broadening kernel $C(b_\bot)$ using lattice simulation of thedimensionally reduced long-distance effective theory of QCD, Electrostatic QCD(EQCD), so far all phenomenological calculations of jet quenching rely onperturbative determinations of the collisional broadening kernel. By matchingthe short-distance behavior of the lattice extracted EQCD broadening kernel, wedetermine the fully matched QCD broadening kernel non-perturbatively. Wepresent results for the collisional broadening kernel in impact-parameter($C_{\rm QCD}(b_\bot)$)) and momentum space ($C_{\rm QCD}(q_\bot)$) and employthem to determine the rates of medium induced radiation in infinite and finitesize QCD plasmas. By contrasting our results with leading and next-to-leadingorder perturbative determinations as well as various approximations of thesplitting rates employed in the literature, we investigate the effect of thenon-peturbative determination of CQCD($q_\bot$) on medium-induced radiationrates.

Non-perturbative determination of the collisional broadening kernel and medium-induced radiation in QCD plasmas