Configuration space based recurrence relations for sunset-type diagrams

Citation
S. Groote et al., Configuration space based recurrence relations for sunset-type diagrams, EUR PHY J C, 11(2), 1999, pp. 279-292
Citations number
33
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL C
ISSN journal
14346044 → ACNP
Volume
11
Issue
2
Year of publication
1999
Pages
279 - 292
Database
ISI
SICI code
1434-6044(199911)11:2<279:CSBRRF>2.0.ZU;2-7
Abstract
We derive recurrence relations for the calculation of multiloop sunset-type diagrams with large powers of massive propagators. The technique is formul ated in configuration space and exploits the explicit form of the massive p ropagator raised to a given power. We write down and evaluate a convenient set of basis integrals. The method is well suited for a numerical evaluatio n of this class of diagrams. We give explicit analytical formulae for the b asis integrals in the asymptotic regime.