Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 1

DOI10.1016/j.nuclphysb.2017.06.027zbMath1375.81177arXiv1608.04148OpenAlexW2508765676MaRDI QIDQ1684101

Ivan Gonzalez, Eduardo A. Notte-Cuello, Marko A. Rojas-Medar, Ivan Parra-Ferrada, Bernd A. Kniehl, I. N. Kondrashuk

Publication date: 4 December 2017

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

Full work available at URL: https://arxiv.org/abs/1608.04148

zbMATH Keywords

Mellin-Barnes transformUsyukina-Davydychev functions

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Gamma, beta and polygamma functions (33B15) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Integral transforms of special functions (44A20) Moment problems (44A60)

Related Items

Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles

Cites Work

• Transformations of triangle ladder diagrams
• Box ladders in a noninteger dimension
• Solution to Bethe-Salpeter equation via Mellin-Barnes transform
• Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions
• Evaluating Feynman integrals.
• Fourier Transforms of UD Integrals
• Some exact results for N-point massive Feynman integrals
• Recursive algorithm for evaluating vertex-type Feynman integrals
• New four-dimensional integrals by Mellin–Barnes transform