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The following article is Open access

Appell functions and the scalar one-loop three-point integrals in Feynman diagrams

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Published under licence by IOP Publishing Ltd
, , Citation L G Cabral-Rosetti and M A Sanchis-Lozano 2006 J. Phys.: Conf. Ser. 37 82 DOI 10.1088/1742-6596/37/1/015

1742-6596/37/1/82

Abstract

The scalar three-point function appearing in one-loop Feynman diagrams is compactly expressed in terms of a generalized hypergeometric function of two variables. Use is made of the connection between such Appell function and dilogarithms coming from a previous investigation. Special cases are obtained for particular values of internal masses and external momenta.

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10.1088/1742-6596/37/1/015