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arXiv · 1805.12414

Two-loop anomalous dimensions of generic dijet soft functions

Guido Bell·Rudi Rahn·Jim Talbert
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Abstract

We present compact integral representations for the calculation of two-loop anomalous dimensions for a generic class of soft functions that are defined in terms of two light-like Wilson lines. Our results are relevant for the resummation of Sudakov logarithms for e+ e- event-shape variables and inclusive hadron-collider observables at next-to-next-to-leading logarithmic accuracy within Soft-Collinear Effective Theory (SCET). Our formalism applies to both SCET-1 and SCET-2 soft functions and we clarify the relation between the respective soft anomalous dimension and the collinear anomaly exponent. We confirm existing two-loop results for about a dozen dijet soft functions and obtain new predictions for the angularity event shape and the soft-drop jet-grooming algorithm.

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Guido Bell, Rudi Rahn, Jim Talbert. 2019-03-27. Two-loop anomalous dimensions of generic dijet soft functions. https://doi.org/10.1016/j.nuclphysb.2018.09.026

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