On the reduction of Feynman integrals to master integrals

Details On the reduction of Feynman integrals to master integrals On the reduction of Feynman integrals to master integrals

2007-07-26

arxiv.org/abs/0707.3993v1

PoSACAT2007:085,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, proceedings of ACAT07

Scientific paper

The reduction of Feynman integrals to master integrals is an algebraic problem that requires algorithmic approaches at the modern level of calculations. Straightforward applications of the classical Buchberger algorithm to construct Groebner bases seem to be inefficient. An essential modification designed especially for this problem has been worked out. It has been already applied in two- and three-loop calculations. We are also suggesting to combine our method with the Laporta's algorithm.

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