Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach

Abstract

The heavy quark pole mass in perturbation theory suffers from a renormalon caused, inherent uncertainty of $O({\Lambda }_{\mathrm{QCD}})$. This fundamental difficulty of determining the pole mass to an accuracy better than the inherent uncertainty can be overcome by direct resummation of the first infrared renormalon. We show how a properly defined pole mass as well as the $\overline{\mathrm{MS}}$ mass for the top and bottom quarks can be determined accurately from the $O(m{\alpha }_s^5)$ quarkonium ground state energy.

16 pages; published version

References in corpus (5)

• Surviving the renormalon in heavy quark potential
• The Mass of the b Quark
• Improved Perturbative QCD Approach to the Bottomonium Spectrum
• Top mass determination and O (alpha_S^5 m) correction to toponium 1S energy level
• Direct resummation of the leading renormalons in inclusive semileptonic B decay

Cited by in corpus (8)

• Relations between Heavy-light Meson and Quark Masses
• Superasymptotic and hyperasymptotic approximation to the operator product expansion
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Hyperasymptotic approximation to the top, bottom and charm pole mass
• Renormalon Subtraction from the Average Plaquette and the Gluon Condensate
• Formulation for renormalon-free perturbative predictions beyond large-${\beta }_0$ approximation
• Constraining renormalon effects in lattice determination of heavy quark mass
• Renormalons in static QCD potential: review and some updates