Elliptic polylogarithms and Feynman parameter integrals

Broedel, Johannes; Duhr, Claude; Dulat, Falko; Penante, Brenda; Tancredi, Lorenzo

doi:10.1007/jhep05(2019)120

Title: Elliptic polylogarithms and Feynman parameter integrals

Journal Article · Tue May 21 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep05(2019)120· OSTI ID:1532395

Broedel, Johannes ^[1]; Duhr, Claude ^[2]; Dulat, Falko ^[3]; Penante, Brenda ^[4]; Tancredi, Lorenzo ^[4]

Humboldt Univ. of Berlin (Germany)
European Organization for Nuclear Research (CERN), Geneva (Switzerland); Université Catholique de Louvain, Louvain-la-Neuve (Belgium)
SLAC National Accelerator Lab., Menlo Park, CA (United States)
European Organization for Nuclear Research (CERN), Geneva (Switzerland)

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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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1532395

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 5; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 53 works

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