On the new method of computing two-loop massive diagrams

Abstract

A recently proposed method of calculating scalar two-loop propagator and vertex functions with massive particles is illustrated with simple examples. A double integral representation is derived with the example of a propagator function. An analogous representation is used to compute the vertex function for space-like external momenta. Ways of dealing with divergent diagrams and of controlling the accuracy of the numerical evaluation of the two-loop functions are also discussed.