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

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.

Comments: LaTex2e Lecture Notes in Computer Science style, 10 pages including 3 figures. Final version to appear in Proceeedings of the Second International Workshop on Graphs, Operads, Logic, Parallel Computational and Mathematical Physics, Cuautitlan, Mexico, May 6 - May 16, 2002. New reference added