Leptonic constants of heavy quarkonia in potential approach of NRQCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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18 pages, 6 eps-figures, discussion and references added, vNRQCD analysis considered

Scientific paper

10.1103/PhysRevD.65.034013

We consider a general scheme for calculating the leptonic constant of heavy quarkonium QQ-bar in the framework of nonrelativistic quantum chromodynamics, NRQCD, operating as the effective theory of nonrelativistic heavy quarks. We explore the approach of static potential in QCD, which takes into account both the evolution of effective charge in the three-loop approximation and the linearly raising potential term, which provides the quark confinement. The leptonic constants of bb-bar and cc-bar systems are evaluated by making use of two-loop anomalous dimension for the current of nonrelativistic quarks, where the factor for the normalization of matrix element is introduced in order to preserve the renormalization group invariance of estimates.

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