Explicit results for all orders of the epsilon expansion of certain massive and massless diagrams - art. no. 087701

Authors
Citation
Ai. Davydychev, Explicit results for all orders of the epsilon expansion of certain massive and massless diagrams - art. no. 087701, PHYS REV D, 6108(8), 2000, pp. 7701
Citations number
34
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
6108
Issue
8
Year of publication
2000
Database
ISI
SICI code
0556-2821(20000415)6108:8<7701:ERFAOO>2.0.ZU;2-#
Abstract
An arbitrary term of the epsilon expansion of a dimensionally regulated off -shell massless one-loop three-point Feynman diagram is expressed in terms of log-sine integrals related to the polylogarithms. Using a magic connecti on between these diagrams and two-loop massive vacuum diagrams, the epsilon expansion of the latter is also obtained, for arbitrary values of the mass es. The problem of analytic continuation is also discussed.