Appell Functions and the Scalar One-Loop Three-point Integrals in Feynman Diagrams

preprint2002arXivOpen access

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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