Published November 1999
| Version v1
Journal article
Configuration space based recurrence relations for sunset-type diagrams
- 1. Floyd R. Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, NY 14853 (United States)
- 2. Mainz Univ. (Germany). Inst. fuer Physik
- 3. Institute for Nuclear Research of the Russian Academy of Sciences, 117312 Moscow (Russian Federation)
Description
We derive recurrence relations for the calculation of multiloop sunset-type diagrams with large powers of massive propagators. The technique is formulated in configuration space and exploits the explicit form of the massive propagator raised to a given power. We write down and evaluate a convenient set of basis integrals. The method is well suited for a numerical evaluation of this class of diagrams. We give explicit analytical formulae for the basis integrals in the asymptotic regime. (orig.)
Additional details
Publishing Information
- Journal Title
- European Physical Journal. C
- Journal Volume
- 11
- Journal Issue
- 2
- Journal Page Range
- p. 279-292
- ISSN
- 1434-6044
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 32017307
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- FEYNMAN DIAGRAM; FEYNMAN PATH INTEGRAL; INTEGRAL CALCULUS; NUMERICAL SOLUTION; PROPAGATOR; RECURSION RELATIONS; REST MASS
- Descriptors DEC
- DIAGRAMS; INFORMATION; INTEGRALS; MASS; MATHEMATICS
Optional Information
- Notes
- 29 refs.