One-loop three-point Feynman integrals with Appell F1 hypergeometric functions
Abstract
New analytic formulas for one-loop three-point Feynman integrals in general space-time dimension (d) are presented in this paper. The calculations are performed at general configurations for internal masses and external momenta. The analytic results are expressed in terms of hypergeometric series 2F1, 3F2 for special cases and Appell F1 for general cases. Furthermore, we cross-check our analytic results with other references which have carried out the integrals in several special cases.
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