The two-loop scalar and tensor pentabox graph with light-like legs

Details The two-loop scalar and tensor pentabox graph with light-like legs The two-loop scalar and tensor pentabox graph with light-like legs

1999-12-06

arxiv.org/abs/hep-ph/9912251v3

Nucl.Phys.B575:416-436,2000; Erratum-ibid.B585:763-770,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

Detailed expansions of intermediate results added

Scientific paper

10.1016/S0550-3213(00)00079-1

We study the scalar and tensor integrals associated with the pentabox topology: the class of two-loop box integrals with seven propagators - five in one loop and three in the other. We focus on the case where the external legs are light-like and use integration-by-parts identities to express the scalar integral in terms of two master-topology integrals and present an explicit analytic expression for the pentabox scalar integral as a series expansion in ep = (4-D)/2. We also give an algorithm based on integration by parts for relating the generic tensor integrals to the same two master integrals and provide general formulae describing the master integrals in arbitrary dimension and with general powers of propagators.

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