Jet Function with a Jet Algorithm in SCET

Paper

Abstract

The jet function for the factorized cross section

into dijets is given as a function of the jet invariant mass s and with a generic jet algorithm at

. We demonstrate the results using the Sterman-Weinberg algorithm and show that the jet function is independent of the energy fraction

of the soft radiation. The anomalous dimension has the same form with and without the cone half-angle

. The dependence of the finite part of the jet function on the cone angle is given.