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I look at propagation of jets that act as a probe of the medium in thephenomenologically relevant case of a short lived dilute Quark GluonPlasma(QGP) created during heavy ion collisions. Working in the regime wherethe lifetime of the medium is of the order or smaller than the formation timeof the energetic jet, I derive a factorization formula with a manifestseparation of scales for an illustrative jet substructure observable using theOpen Quantum system Effective Field Theory(EFT) approach developed in\cite{Vaidya:2020lih}, in terms of a medium structure function and a mediuminduced jet function . The medium structure function or the "PDF of the medium"that describes the observable independent physics of the QGP remains identicalto that in a dilute long lived medium considered in \cite{Vaidya:2021vxu},while the medium induced jet function is modified and incorporates quantuminterference between the hard interaction that creates the jet and subsequentmedium interactions. The medium jet function continues to enjoy a BFKL rapidityevolution just as for a long lived medium, albeit with a modifiedrenormalization scale that now depends on the medium lifetime.

Probing a dilute short lived Quark Gluon Plasma medium with jets