Perturbative QCD Potential, Renormalon Cancellation and Phenomenological Potentials
Abstract
We examine the total energy Etot(r) = 2 mpole + VQCD(r) of the b b system within perturbative QCD up to O(αS3). 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, Etot(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 Etot(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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