S-bases as a tool to solve reduction problems for Feynman integrals - INSPIRE

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S-bases as a tool to solve reduction problems for Feynman integrals

A.V. Smirnov
(
- Moscow State U.
)
,
V.A. Smirnov
(
- Moscow, INR
)

Jun, 2006

5 pages

Part of Proceedings, 8th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory : Eisenach, Germany, 23-28 April 2006, 80-84

Published in:

Nucl.Phys.B Proc.Suppl. 160 (2006) 80-84

Contribution to:

8th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, 80-84

e-Print:

hep-ph/0606247 [hep-ph]

DOI:

10.1016/j.nuclphysbps.2006.09.032

View in:

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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 Groebner bases. New results obtained with its help for a family of three-loop Feynman integrals are outlined.

Feynman graph
algebra

References(25)

Figures(0)

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