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Report number arXiv:1902.09971 ; CP3-19-07 ; CERN-TH-2019-016 ; HU-Mathematik-2019-01 ; HU-EP-19/03, SLAC-PUB-17406 ; HU-EP-19/03, SLAC-PUB-17406
Title Elliptic polylogarithms and Feynman parameter integrals
Author(s) Broedel, Johannes (Humboldt U., Berlin, Inst. Math.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Penante, Brenda (CERN) ; Tancredi, Lorenzo (CERN)
Publication 2019-05-21
Imprint 2019-02-26
Number of pages 37
In: JHEP 05 (2019) 120
DOI 10.1007/JHEP05(2019)120
Subject category hep-th ; Particle Physics - Theory ; hep-ph ; Particle Physics - Phenomenology
Abstract In this paper we study the calculation of multiloop Feynman integrals that cannot be expressed in terms of multiple polylogarithms. We show in detail how certain types of two- and three-point functions at two loops, which appear in the calculation of higher order corrections in QED, QCD and in the electroweak theory (EW), can naturally be expressed in terms of a recently introduced elliptic generalisation of multiple polylogarithms by direct integration over their Feynman parameter representation. Moreover, we show that in all examples that we considered a basis of pure Feynman integrals can be found.
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preprint: (License: arXiv nonexclusive-distrib 1.0)



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