Coordinate space calculation of two- and three-loop sunrise-type diagrams, elliptic functions and truncated Bessel integral identities
From MaRDI portal
Publication:1710196
DOI10.1016/J.NUCLPHYSB.2018.11.023zbMath1405.81081arXiv1804.10570OpenAlexW2798807326MaRDI QIDQ1710196
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral
- The elliptic dilogarithm for the sunset graph
- Laurent series expansion of sunrise-type diagrams using configuration space techniques
- On the evaluation of sunset-type Feynman diagrams
- Three-loop vacuum integrals with arbitrary masses
- On the evaluation of a certain class of Feynman diagrams in \(x\)-space: sunrise-type topologies at any loop order
- 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.
This page was built for publication: Coordinate space calculation of two- and three-loop sunrise-type diagrams, elliptic functions and truncated Bessel integral identities
