Heavy quark potential in the static limit of QCD

Abstract

Following the procedure and motivations developed by Richardson, Buchmuller and Tye, we derive the potential of static quarks consistent with both the three-loop running of QCD coupling constant under the two-loop perturbative matching of V and MS-bar schemes and the confinement regime at long distances. Implications for the heavy quark masses as well as the quarkonium spectra and leptonic widths are discussed.

Comments: 33 pages, ReVTeX file, 8 eps-figures, 6 tables; references and Comments added, version to appear in Physical Review D