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preprints:2008:ttp08-34 [2016/03/17 11:03] (current)
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 +====== TTP08-34 Fermionic contributions to the three-loop static potential ====== 
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 +   <​hidden TTP08-34 ​ Fermionic contributions to the three-loop static potential > 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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 +|**Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser** ​ |  
 +|**  Phys.Lett. ​  B668 293-298 2008  **  | 
 +| {{preprints:​2008:​ttp08-34.pdf|PDF}} {{preprints:​2008:​ttp08-34.ps|PostScript}} [[http://​arxiv.org/​abs/​0809.1927|arXiv]] ​  | 
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