Surviving the renormalon in heavy quark potential

Abstract

We show that the Borel resummed perturbative static potential at N_f=0 converges well, and is in a remarkable agreement with the quenched lattice calculation at distances 1/r > 660 MeV. This shows that Borel resummation is very good at handling the renormalon in the static potential (and in the pole mass), and allows one to use the pole mass in perturbative calculation of heavy quark physics.

14 pages, 3 figures, references added, to appear in PRD

References in corpus (1)

• Improved Perturbative QCD Approach to the Bottomonium Spectrum

Cited by in corpus (35)

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• Spin Dependence of Heavy Quarkonium Production and Annihilation Rates: Complete Next-to-Next-to-Leading Logarithmic result
• Static QCD Potential at r < 1/Lambda_QCD: Perturbative expansion and operator-product expansion
• Violation of Casimir Scaling for Static QCD Potential at Three-loop Order
• Superasymptotic and hyperasymptotic approximation to the operator product expansion
• Improved determination of inclusive electromagnetic decay ratios of heavy quarkonium from QCD
• Pole mass renormalon and its ramifications
• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments I: Renormalon-Free Gluon Condensate Scheme
• Renormalon Subtraction from the Average Plaquette and the Gluon Condensate
• "Coulomb+linear" form of the static QCD potential in operator-product-expansion
• Comparing the QCD potential in Perturbative QCD and Lattice QCD at large distances
• Infrared renormalons and analyticity structure in pQCD
• Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation
• The QCD static potential in D<4 dimensions at weak coupling
• Extracting gluon condensate from the average plaquette
• Estimate of the three-loop contribution to the QCD static potential from renormalon cancellation
• Formulation for renormalon-free perturbative predictions beyond large-${\beta }_0$ approximation
• Renormalon subtraction in OPE using Fourier transform: Formulation and application to various observables
• Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach
• Estimation of the large order behavior of the plaquette
• New method for renormalon subtraction using Fourier transform
• Direct resummation of the leading renormalons in inclusive semileptonic B decay
• Analytic invariant charge and the lattice static quark-antiquark potential
• Renormalon Subtraction in OPE by Dual Space Approach: Nonlinear Sigma Model and QCD
• Estimate of 4-loop Pole-MSbar Mass Relation from Static QCD Potential
• Constraining renormalon effects in lattice determination of heavy quark mass
• Flavor dependence of normalization constant for an infrared renormalon
• Renormalons in static QCD potential: review and some updates
• The static quark self-energy at large orders from NSPT
• Borel resummation with low order perturbations in QCD
• Determination of the b-mass using renormalon cancellation