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Configuration Space Based Recurrence Relations for Sunset-Type Diagrams

S. Groote·J. G. Körner·A. A. Pivovarov
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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.

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S. Groote, J. G. Körner, A. A. Pivovarov. 2000-04-10. Configuration Space Based Recurrence Relations for Sunset-Type Diagrams. https://doi.org/10.1007/s100520050632

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