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

摘要

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