Pentagon functions for massless planar scattering amplitudes
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Publication:1627341
DOI10.1007/JHEP10(2018)103zbMATH Open1402.81256arXiv1807.09812OpenAlexW2883134461MaRDI QIDQ1627341
Author name not available (Why is that?)
Publication date: 22 November 2018
Published in: (Search for Journal in Brave)
Abstract: Loop amplitudes for massless five particle scattering processes contain Feynman integrals depending on the external momentum invariants: pentagon functions. We perform a detailed study of the analyticity properties and cut structure of these functions up to two loops in the planar case, where we classify and identify the minimal set of basis functions. They are computed from the canonical form of their differential equations and expressed in terms of generalized polylogarithms, or alternatively as one-dimensional integrals. We present analytical expressions and numerical evaluation routines for these pentagon functions, in all kinematical configurations relevant to five-particle scattering processes.
Full work available at URL: https://arxiv.org/abs/1807.09812
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