One loop integrals with XLOOPS - GiNaC

We present a new algorithm for the reduction of one-loop tensor Feynman integrals within the framework of the XLOOPS project, covering both mathematical and programming aspects. The new algorithm supplies a clean way to reduce the one-loop one-, two- and three-point Feynman integrals with arbitrary tensor rank and powers of the propagators to a basis of simple integrals. We also present a new method of coding XLOOPS in C++ using the GiNaC library.

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18 pages, 2 figures Report-no: MZ-TH/01-02

Feynman graph: tensor
two-point function
vertex function
Feynman graph: higher-order
programming

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