Completely automated computation of the heavy-fermion corrections to the three-loop matching coefficient of the vector current |
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Authors: | P. Marquard J.H. Piclum D. Seidel M. Steinhauser |
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Affiliation: | 1. Institut für Theoretische Teilchenphysik, Universität Karlsruhe (TH), Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany;2. Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2G7 |
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Abstract: | We evaluate the corrections to the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) to three-loop order containing a closed heavy-fermion loop. The result constitutes a building block both for the bottom- and top-quark system at threshold. Strong emphasis is put on our completely automated approach of the calculation including the generation of the Feynman diagrams, the identification of the topologies, the reduction to master integrals and the automated numerical computation of the latter. |
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Keywords: | 12.38.Bx 12.38.-t 14.65.Ha |
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