Jet Function with a Jet Algorithm in SCET

Abstract

The jet function for the factorized cross section $e^{+}{e}^{-}$ into dijets is given as a function of the jet invariant mass s and with a generic jet algorithm at $\mathcal{O}({\alpha }_s)$. We demonstrate the results using the Sterman-Weinberg algorithm and show that the jet function is independent of the energy fraction $\beta$ of the soft radiation. The anomalous dimension has the same form with and without the cone half-angle $\delta$. The dependence of the finite part of the jet function on the cone angle is given.

10 pages, 5 figures, journal version

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• A Soft-Collinear Mode for Jet Cross Sections in Soft Collinear Effective Theory
• Fragmentation in Jets: Cone and Threshold Effects
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