2015/12/18 by Guido Bell, Bell, Guido, Rudi Rahn +3
Economics, Econometrics and Finance · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Mathematical functions and polynomials #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.1512.06100
openalex publication_date 2015/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a systematic framework for the calculation of dijet soft functions, which are defined as a matrix element of two light-like Wilson lines that is weighted by a generic measurement function. Based on a universal parametrisation of the phase-space integrals, we isolate the singular terms in Laplace space and evaluate the observable-dependent integrations numerically. We discuss the implementation of our algorithm into the public program SecDec, and present results for various SCET-1 soft functions to two-loop order. In particular, we obtain new predictions for the C-parameter and the angularity variables. Finally, we discuss ongoing extensions and the future outlook of the project.