Abstract
We study an effect of the off-shellness of the quark and antiquark inside a heavy quarkonium system on IR renormalons contained in the perturbative computations of the quarkonium energy levels. We demonstrate that, when the off-shellness p Q 2− m Q 2∼ α S 2 m Q 2 is larger than m Q Λ QCD, renormalons in the energy levels as calculated in perturbative QCD are suppressed by a factor Λ QCD/( α S 2 m Q ) as compared to those in 2 m pole+ V QCD( r). In this case the residual O(Λ QCD 4) renormalon has the same dimension as that of the leading gluon-condensate contribution.
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