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.