A massive Feynman integral and some reduction relations for Appell functions

Simple item page
dc.creatorShpot, M. A.
dc.date2007-11-17
dc.date.accessioned2026-07-07T11:13:16Z
dc.date.available2026-07-07T11:13:16Z
dc.descriptionNew explicit expressions are derived for the one-loop two-point Feynman integral with arbitrary external momentum and masses $m_1^2$ and $m_2^2$ in D dimensions. The results are given in terms of Appell functions, manifestly symmetric with respect to the masses $m_i^2$. Equating our expressions with previously known results in terms of Gauss hypergeometric functions yields reduction relations for the involved Appell functions that are apparently new mathematical results.
dc.description19 pages. To appear in Journal of Mathematical Physics
dc.identifierhttps://arxiv.org/abs/0711.2742
dc.identifierhttp://arxiv.org/abs/0711.2742
dc.identifierJ.Math.Phys.48:123512,2007
dc.identifierdoi:10.1063/1.2821256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191660
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.titleA massive Feynman integral and some reduction relations for Appell functions
dc.typetext

Files

Collections

arXiv