THREE-LOOP EFFECTS IN THE MASSES OF HEAVY FLAVORED MESONS WITHIN A QCD POTENTIAL MODEL

Abstract

The static potential between the two heavy quarks is a fundamental quantity in QCD. In lowest order it is described by the Coulomb potential adopted to QCD. While one-loop effects to this potential were known during 1980; analytical information on the corresponding three-loop effects was reported more recently in 2016. In the present paper , we report the results of three-loop effects in the masses of heavy flavored mesons using QCD linear plus Coulomb Cornell potential. For this purpose, we adopt the meson wave functions based on both Dalgarno’s Perturbation Theory (DPT) and Variationally Improved Perturbation Theory (VIPT) as have been pursued by us in recent years. We use the numerical expression for higher order effects as reported by Smirnov et al. for our analysis. Detailed comparison is done with Lattice QCD and QCD Sum rules.