Configuration Space Based Recurrence Relations for Sunset-Type Diagrams

Details Configuration Space Based Recurrence Relations for Sunset-Type Diagrams Configuration Space Based Recurrence Relations for Sunset-Type Diagrams

1999-03-19

arxiv.org/abs/hep-ph/9903412v2

Eur.Phys.J.C11:279-292,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages in LaTeX, including 3 PostScript figures

Scientific paper

10.1007/s100520050632

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.

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