Automated Calculation of Dijet Soft Functions in the Presence of Jet Clustering Effects

Abstract

We extend our framework for the automated calculation of dijet soft functions to observables that do not obey the non-Abelian exponentiation theorem, like jet-veto or grooming soft functions that are sensitive to clustering effects of the jet algorithm. Although the matrix element for uncorrelated double emissions has a simpler structure than the one for correlated emissions, we argue that its singularity structure poses more stringent constraints on the required phase-space parametrisation. Our algorithm applies to both SCET-1 and SCET-2 soft functions and it is implemented in the novel program SoftSERVE. We present results for various jet-veto observables and obtain new predictions for the soft-drop jet-grooming algorithm.

Comments: 7 pages, 3 figures; to appear in the proceedings of the 13th International Symposium on Radiative Corrections (Radcor 2017), 24-29 September 2017, St. Gilgen, Austria