Elliptic polylogarithms and Feynman parameter integrals

Autor: Johannes Broedel, Claude Duhr, Falko Dulat, Brenda Penante, Lorenzo Tancredi
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2019, Iss 5, Pp 1-38 (2019)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2019)120
Popis: 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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