Completely automated computation of the heavy-fermion corrections to the three-loop matching coefficient of the vector current

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.

14 pages

References in corpus (8)

• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Fermionic contributions to the three-loop static potential
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• Three-Loop Chromomagnetic Interaction in HQET
• Ultrasoft contribution to quarkonium production and annihilation
• Two-Loop Matching Coefficients for Heavy Quark Currents
• Fermionic Corrections to the Three-Loop Matching Coefficient of the Vector Current
• Laurent series expansion of sunrise-type diagrams using configuration space techniques

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