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Title: Elliptic polylogarithms and Feynman parameter integrals

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.

Authors:
 [1];  [2];  [3];  [4];  [4]
  1. Humboldt Univ. of Berlin (Germany)
  2. European Organization for Nuclear Research (CERN), Geneva (Switzerland); Université Catholique de Louvain, Louvain-la-Neuve (Belgium)
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  4. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1532395
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; NLO Computations; QCD Phenomenology

Citation Formats

Broedel, Johannes, Duhr, Claude, Dulat, Falko, Penante, Brenda, and Tancredi, Lorenzo. Elliptic polylogarithms and Feynman parameter integrals. United States: N. p., 2019. Web. doi:10.1007/jhep05(2019)120.
Broedel, Johannes, Duhr, Claude, Dulat, Falko, Penante, Brenda, & Tancredi, Lorenzo. Elliptic polylogarithms and Feynman parameter integrals. United States. doi:10.1007/jhep05(2019)120.
Broedel, Johannes, Duhr, Claude, Dulat, Falko, Penante, Brenda, and Tancredi, Lorenzo. Tue . "Elliptic polylogarithms and Feynman parameter integrals". United States. doi:10.1007/jhep05(2019)120. https://www.osti.gov/servlets/purl/1532395.
@article{osti_1532395,
title = {Elliptic polylogarithms and Feynman parameter integrals},
author = {Broedel, Johannes and Duhr, Claude and Dulat, Falko and Penante, Brenda and Tancredi, Lorenzo},
abstractNote = {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.},
doi = {10.1007/jhep05(2019)120},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2019,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
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