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Probabilistic picture for medium-induced jet evolution

Abstract : A high energy jet that propagates in a dense medium generates a cascade of partons that can be described as a classical branching process. A simple generating functional for the probabilities to observe a given number of gluons at a given time is derived. This is used to obtain an evolution equation for the inclusive one-gluon distribution, that takes into account the dependence upon the energy and the transverse momentum of the observed gluon. A study of the explicit transverse momentum dependence of the splitting kernel leads us to identify large corrections to the jet quenching parameter q.
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Jean-Paul Blaizot, Fabio Dominguez, Edmond Iancu, Yacine Mehtar-Tani. Probabilistic picture for medium-induced jet evolution. Journal of High Energy Physics, Springer Verlag (Germany), 2014, ⟨10.1007/JHEP06(2014)075⟩. ⟨cea-01297340⟩

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