Two-loop anomalous dimensions of generic dijet soft functions
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.
Keywords
Cite
@article{arxiv.1805.12414,
title = {Two-loop anomalous dimensions of generic dijet soft functions},
author = {Guido Bell and Rudi Rahn and Jim Talbert},
journal= {arXiv preprint arXiv:1805.12414},
year = {2019}
}
Comments
23 pages, 3 figures. Published version