General results for massive <i>N</i>-point Feynman diagrams with different masses

Abstract

General expressions are obtained for scalar one-loop massive Feynman diagrams with any number of external lines and with arbitrary momenta of these lines, with arbitrary values of masses and powers of denominators of internal lines, the space-time dimension n also being arbitrary. Special cases are considered when two (or more) masses are equal to 0. The results are represented in terms of hypergeometric functions.