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arXiv · hep-ph/0110277

Off-shell Suppression of Renormalons in Non-relativistic QCD Boundstates

Y. Kiyo·Y. Sumino
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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 \sim alpha_S^2 m_Q^2 is larger than m_Q Lambda_QCD, renormalons in the energy levels as calculated in perturbative QCD are suppressed by a factor Lambda_QCD/alpha_S^2 m_Q as compared to those in 2 m_pole + V_QCD(r). In this case the residual O(Lambda_QCD^4) renormalon has the same dimension as that of the leading gluon-condensate contribution.

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Y. Kiyo, Y. Sumino. 2002-04-12. Off-shell Suppression of Renormalons in Non-relativistic QCD Boundstates. https://doi.org/10.1016/s0370-2693(02)01731-8

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