Automation of Beam and Jet functions at NNLO

Abstract

We present a novel framework to streamline the calculation of jet and beam functions to next-to-next-to-leading order (NNLO) in perturbation theory. By exploiting the infrared behaviour of the collinear splitting functions, we factorise the singularities with suitable phase-space parametrisations and perform the observable-dependent integrations numerically. We have implemented our approach in the publicly available code {\tt pySecDec} and present first results for sample jet and beam functions.

Comments: 10 pages, 2 figures, 2 tables, Contribution to the proceedings of RADCOR-LoopFest 2021