Probing the Structure of Jets: Factorized and Resummed Angularity Distributions in SCET

Abstract

Using the framework of soft-collinear effective theory (SCET), we factorize and calculate $e^{+}{e}^{-}$ angularity distributions, including perturbative resummation and the incorporation of a universal model for the nonperturbative soft function. Angularities ${\tau }_a$ are a class of event shapes varying in their sensitivity to the substructure of jets in the final state, controlled by a continuous parameter $a<2$. We calculate the jet and soft functions in factorized angularity distributions for all $a<1$ to first order in the strong coupling ${\alpha }_s$ and resum large logarithms to next-to-leading logarithmic (NLL) accuracy. We employ a universal model for the nonperturbative soft function with a gap parameter which cancels the renormalon ambiguity in the partonic soft function.

8 pages, 2 figures. Contribution to the proceedings of EFT'09, International Workshop on Effective Field Theories: from the Pion to the Upsilon, 2-6 February 2009, Valencia (Spain)

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