Fermionic contributions to the three-loop static potential

Details Fermionic contributions to the three-loop static potential Fermionic contributions to the three-loop static potential

Publishing date

2008-09-11

URL

arxiv.org/abs/0809.1927v1

Journals

Phys.Lett.B668:293-298,2008

Science

Physics

Field

High Energy Physics

SubField

High Energy Physics - Phenomenology

Additional info

12 pages, 3 figures, to appear in Phys. Lett. B

Type

Scientific paper

Digital Object Identifier

10.1016/j.physletb.2008.08.070

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.

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