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arxiv: hep-ph/9703319 · v1 · submitted 1997-03-14 · ✦ hep-ph

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Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses

O.V. Tarasov (DESY-Zeuthen)
Authors on Pith no claims yet
classification ✦ hep-ph
keywords integralsbasicrecurrencerelationstwo-looparbitrarygeneralizedmasses
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An algorithm for calculating two-loop propagator type Feynman diagrams with arbitrary masses and external momentum is proposed. Recurrence relations allowing to express any scalar integral in terms of basic integrals are given. A minimal set consisting of 15 essentially two-loop and 15 products of one-loop basic integrals is found. Tensor integrals and integrals with irreducible numerators are represented as a combination of scalar ones with a higher space-time dimension which are reduced to the basic set by using the generalized recurrence relations proposed in Ref.[1] (Phys.Rev.D54 (1996) 6479).

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