Evaluating the three-loop static quark potential

Abstract

This is a status report of the evaluation of the three-loop corrections to the static QCD potential of a heavy quark and an antiquark. The families of Feynman integrals that appear in the evaluation are described. To reduce any integral of the families to master integrals we solve integration-by-parts relations by the algorithm called FIRE. To evaluate the corresponding master integrals we apply the Mellin-Barnes technique. First results are presented: the coefficients of n_l^3 and n_l^2, where n_l is the number of light quarks.

5 pages, 3 figures, contribution to proceedings of LL'08, to appear in NPB(PS)

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Cited by in corpus (7)

• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• Fermionic contributions to the three-loop static potential
• The one loop MSbar static potential in the Gribov-Zwanziger Lagrangian
• Dimensional recurrence relations: an easy way to evaluate higher orders of expansion in $\epsilon$
• Colour octet potential to three loops
• Loop calculations in the three dimensional Gribov-Zwanziger Lagrangian