NNLL Resummation for Jet Broadening

Abstract

The resummation for the event-shape variable jet broadening is extended to next-to-next-to-leading logarithmic accuracy by computing the relevant jet and soft functions at one-loop order and the collinear anomaly to two-loop accuracy. The anomaly coefficient is extracted from the soft function and expressed in terms of polylogarithmic as well as elliptic functions. With our results, the uncertainty on jet-broadening distributions is reduced significantly, which should allow for a precise determination of the strong coupling constant from the existing experimental data and provide a consistency check on the extraction of alpha_s from higher-log resummations of thrust.

44 pages, 9 figures

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• Interplay between perturbative and non-perturbative effects with the ARES method
• Rapidity Logarithms in SCET Without Modes
• One-loop Jet Functions by Geometric Subtraction
• A reanalysis of event shape distributions in electron-positron annihilation