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# Running coupling effects in the evolution of jet quenching

Dionysios Triantafyllopoulos

The jet quenching parameter is a transport coefficient which describes the modification of a jet going through a medium like a Quark Gluon Plasm. We study running coupling corrections to the evolution of this jet quenching parameter in the double logarithmic approximation. We deduce the dominant asymptotic behavior of the "renormalized" parameter in the limit of large Y=ln(L/λ), with L the size of the medium and λ the typical wavelength its constituents. We show that the asymptotic expansion is universal with respect to the choice of the initial condition at Y = 0 and that it is remarkably similar to the corresponding expansion for the saturation momentum of a large nucleus. The running of the coupling slows down the increase of the jet quenching parameter with Y in the asymptotic regime at Y >> 1. For Y = 3, we find an enhancement factor close to 3, independently of the initial condition and for both fixed and running coupling