Fermionic Corrections to the Three-Loop Matching Coefficient of the Vector Current

Details Fermionic Corrections to the Three-Loop Matching Coefficient of the Vector Current Fermionic Corrections to the Three-Loop Matching Coefficient of the Vector Current

2006-07-14

arxiv.org/abs/hep-ph/0607168v1

Nucl.Phys.B758:144-160,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages

Scientific paper

10.1016/j.nuclphysb.2006.09.015

In this paper we consider the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) to three-loop order in perturbation theory. We evaluate the fermionic corrections containing a closed massless fermion loop. The results are building blocks both for the bottom and top quark system at threshold. We explain in detail the methods used for the evaluation of the Feynman diagrams, classify the occurring master integrals and provide results for the latter. The numerical effects are significant. They have the tendency to improve the behaviour of the perturbative series -- both for the bottom and top quark system.

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