ar X iv : h ep - p h / 06 06 24 7 v 1 2 2 Ju n 20 06 S - bases as a tool to solve reduction problems for Feynman integrals
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چکیده
We suggest a mathematical definition of the notion of master integrals and present a brief review of algorithmic methods to solve reduction problems for Feynman integrals based on integration by parts relations. In particular, we discuss a recently suggested reduction algorithm which uses Gröbner bases. New results obtained with its help for a family of three-loop Feynman integrals are outlined.
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تاریخ انتشار 2006