Article ID Journal Published Year Pages File Type
1848201 Nuclear Physics B - Proceedings Supplements 2006 5 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Nuclear and High Energy Physics