Configuration Space Based Recurrence Relations for Sunset-Type Diagrams
High Energy Physics - Phenomenology
2011-09-13 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Nuclear Theory
Abstract
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.
Cite
@article{arxiv.hep-ph/9903412,
title = {Configuration Space Based Recurrence Relations for Sunset-Type Diagrams},
author = {S. Groote and J. G. Körner and A. A. Pivovarov},
journal= {arXiv preprint arXiv:hep-ph/9903412},
year = {2011}
}
Comments
34 pages in LaTeX, including 3 PostScript figures