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The effect of multiple scatterings on the propagation of hard partonic jetsin a dense nuclear medium is studied in the framework of deep-inelasticscattering (DIS) off a large nucleus. Power counting arguments based on theGlauber improved Soft-Collinear-Effective-Theory are used to identify the classof leading power corrections to the process of a single parton traversing theextended medium without emission. It turns out that the effect of longitudinaldrag and diffusion (often referred to as straggling) is as important astransverse scattering, when relying solely on power counting arguments. Withthe inclusion of momentum exchanges in both transverse and longitudinaldirections between the traversing hard parton and the constituents of themedium, we derive a differential equation for the time (or distance) evolutionof the hard parton momentum distribution. Keeping up to the second order in amomentum gradient expansion, this equation describes in-medium evolution ofhard jets which experience longitudinal drag and diffusion plus the transversebroadening caused by multiple scatterings from the medium.

Parton Transport via Transverse and Longitudinal Scattering in Dense Media