Fermionic contributions to the three-loop static potential
High Energy Physics - Phenomenology
2008-11-26 v1
Abstract
We consider the three-loop corrections to the static potential which are induced by a closed fermion loop. For the reduction of the occurring integrals a combination of the Gr\"obner and Laporta algorithm has been used and the evaluation of the master integrals has been performed with the help of the Mellin-Barnes technique. The fermionic three-loop corrections amount to 2% of the tree-level result for top quarks, 8% for bottom quarks and 27% for the charm quark system.
Cite
@article{arxiv.0809.1927,
title = {Fermionic contributions to the three-loop static potential},
author = {Alexander V. Smirnov and Vladimir A. Smirnov and Matthias Steinhauser},
journal= {arXiv preprint arXiv:0809.1927},
year = {2008}
}
Comments
12 pages, 3 figures, to appear in Phys. Lett. B