Perturbative QCD Potential, Renormalon Cancellation and Phenomenological Potentials

Details Perturbative QCD Potential, Renormalon Cancellation and Phenomenological Potentials Perturbative QCD Potential, Renormalon Cancellation and Phenomenological Potentials

2001-09-14

arxiv.org/abs/hep-ph/0109122v2

Phys.Rev. D65 (2002) 054018

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 7 figures and 4 tables. Minor changes, 1 reference added, to be publ. in PRD

Scientific paper

10.1103/PhysRevD.65.054018

We examine the total energy E_tot(r) = 2 m_pole + V_QCD(r) of the b\bar b system within perturbative QCD up to O(\alpha_S^3). We extend a previous analysis by incorporating effects of the non-zero charm-quark mass in loops. We find that, once the renormalon cancellation is performed, E_tot(r) agrees well with typical phenomenological potentials for heavy quarkonia at distances 0.5 GeV^-1 ~< r ~< 3 GeV^-1. We also examine the perturbative predictions for E_tot(r) of other heavy quarkonium systems. Whenever stable predictions are obtained, they agree with each other up to an r-independent constant.

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