English

Evaluating the three-loop static quark potential

High Energy Physics - Phenomenology 2015-05-13 v1

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.

Keywords

Cite

@article{arxiv.0807.0365,
  title  = {Evaluating the three-loop static quark potential},
  author = {Alexander V. Smirnov and Vladimir A. Smirnov and Matthias Steinhauser},
  journal= {arXiv preprint arXiv:0807.0365},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T10:56:48.514Z