Configuration space based recurrence relations for sunset-type diagrams
S. Groote1,2 - J.G. Körner1 - A.A. Pivovarov1,3
1 Institut für Physik, Johannes-Gutenberg-Universität,
Staudinger Weg 7, 55099 Mainz, Germany
2 Floyd R. Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, NY 14853, USA
3 Institute for Nuclear Research of the Russian Academy of Sciences, 117312 Moscow, Russia
Received: 30 April 1999 / Revised version: 2 July 1999 / Published online: 14 October 1999
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.