Applying Mellin-Barnes technique and Groebner bases to the three-loop static potential

Details Applying Mellin-Barnes technique and Groebner bases to the three-loop static potential Applying Mellin-Barnes technique and Groebner bases to the three-loop static potential

2008-05-13

arxiv.org/abs/0805.1871v1

PoS RADCOR2007:024,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 5 pages with 1 figure

Scientific paper

The Mellin-Barnes technique to evaluate master integrals and the algorithm called FIRE to solve IBP relations with the help of Groebner bases are briefly reviewed. In FIRE, an extension of the classical Buchberger algorithm to construct Groebner bases is combined with the well-known Laporta algorithm. It is explained how both techniques are used when evaluating the three-loop correction to the static QCD quark potential. First results are presented: the coefficients of n_l^3 and n_l^2, where n_l is the number of light quarks.

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