Some remarks on the epsilon-expansion of dimensionally regulated Feynman diagrams

Citation
Ai. Davydychev et My. Kalmykov, Some remarks on the epsilon-expansion of dimensionally regulated Feynman diagrams, NUCL PH B-P, 89, 2000, pp. 283-288
Citations number
47
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
89
Year of publication
2000
Pages
283 - 288
Database
ISI
SICI code
0920-5632(200010)89:<283:SROTEO>2.0.ZU;2-9
Abstract
Some problems related to the construction of the E-expansion of dimensional ly regulated Feynman integrals are discussed. For certain classes of diagra ms, an arbitrary term of the E-expansion can be expressed in terms of log-s ine integrals related to the polylogarithms. It is shown how the analytic c ontinuation of these functions can be constructed in terms of the generaliz ed Nielsen polylogarithms.