4.7 Article

Fermionic contributions to the three-loop static potential

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PHYSICS LETTERS B
卷 668, 期 4, 页码 293-298

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DOI: 10.1016/j.physletb.2008.08.070

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  1. RFBR [08-02-01451]
  2. DFG [SFB/TR 9]

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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 Grobner 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. (C) 2008 Elsevier B.V. All rights reserved.

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