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Perturbative QCD Potential, Renormalon Cancellation and Phenomenological Potentials
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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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Cited by 1 Pith paper
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Strong coupling in (2+1+1)-flavor QCD
A first, preliminary extraction of the QCD strong coupling from static quark-antiquark energy in (2+1+1)-flavor lattice QCD, consistent with previous determinations but not yet final.
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