Perturbative QCD potential, renormalon cancellation, and phenomenological potentials

S. Recksiegel, T. Sumino

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Abstract

We examine the total energy Etot(r) = 2mpole+ V QCD(r) of the b̄ system within perturbative QCD up to script O sign(αS3). We extend a previous analysis by incorporating effects of the nonzero 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.

Original languageEnglish
Article number054018
JournalPhysical Review D
Volume65
Issue number5
DOIs
StatePublished - 2002
Externally publishedYes

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