Coordinate space calculation of two- and three-loop sunrise-type diagrams, elliptic functions and truncated Bessel integral identities

DOI10.1016/J.NUCLPHYSB.2018.11.023zbMath1405.81081arXiv1804.10570OpenAlexW2798807326MaRDI QIDQ1710196

J. G. Körner, Stefan Groote

Publication date: 15 January 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10570

Mathematics Subject Classification ID

Feynman diagrams (81T18) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Elliptic functions and integrals (33E05)

Related Items (6)

Hadronic light-by-light scattering contribution to the muon \(g - 2\) from lattice QCD: semi-analytical calculation of the QED kernel ⋮ Position space equations for banana Feynman diagrams ⋮ The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\) ⋮ Collider physics at the precision frontier ⋮ Cuts and isogenies ⋮ On epsilon factorized differential equations for elliptic Feynman integrals

Uses Software

• TVID

Cites Work

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• Three-loop vacuum integrals with arbitrary masses
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• Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
• Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral
• The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
• Elliptic integral evaluations of Bessel moments and applications
• The two-loop sunrise graph with arbitrary masses
• Threshold expansion of Feynman diagrams within a configuration space technique.

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