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arXiv · 0809.1927

Fermionic contributions to the three-loop static potential

Alexander V. Smirnov·Vladimir A. Smirnov·Matthias Steinhauser
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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 Gröbner 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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Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser. 2008-09-11. Fermionic contributions to the three-loop static potential. https://doi.org/10.1016/j.physletb.2008.08.070

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