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arXiv · 0807.0365

Evaluating the three-loop static quark potential

Alexander V. Smirnov·Vladimir A. Smirnov·Matthias Steinhauser
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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.

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Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser. 2008-07-02. Evaluating the three-loop static quark potential. https://doi.org/10.1016/j.nuclphysbps.2008.09.122

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