Quark-antiquark potential to order 1/m and heavy quark masses

TL;DR

This paper develops an improved heavy quark-antiquark potential by combining perturbative QCD and lattice results, analyzing static and 1/m order potentials, and deriving quark masses from spectra.

Contribution

It introduces a refined potential model matching short-distance perturbative and long-distance lattice QCD results, including 1/m corrections, and extracts quark masses from charmonium and bottomonium spectra.

Findings

Effective potential constructed with perturbative and lattice QCD data

Order 1/m effects significantly influence quarkonium spectra

Charm and bottom quark masses are estimated from the analysis

Abstract

An updated heavy quark-antiquark potential is constructed by matching the short-distance perturbative part to long-distance lattice QCD results at an intermediate r scale. The static potential and the order 1/m potential are both analyzed in this way. Effects if order 1/m in charmonium and bottomonium spectra are discussed in comparison. Charm and bottom quark masses are deduced from the spectra and related to the quark masses of other schemes.