Applying Mellin-Barnes technique and Groebner bases to the three-loop static potential
High Energy Physics - Phenomenology
2010-11-26 v1
Abstract
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.
Cite
@article{arxiv.0805.1871,
title = {Applying Mellin-Barnes technique and Groebner bases to the three-loop static potential},
author = {Alexander V. Smirnov and Vladimir A. Smirnov and Matthias Steinhauser},
journal= {arXiv preprint arXiv:0805.1871},
year = {2010}
}
Comments
LaTeX, 5 pages with 1 figure