Abstract
We extend the Sudakov formalism from vacuum to opaque media by supplementing the splitting functions with an adittional term given by the medium-induced gluon radiation spectrum. We then solve the DGLAP evolution equations to obtain the medium-modified fragmentation functions. In this way, both the additional energy loss and the modification of the QCD evolution by the medium are included in a consistent manner. As a phenomenological application, we compute the suppression of the high-pt yields in heavy-pt collisions by convoluting the obtained fragmentation functions with the perturbative spectrum.
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