Mass of the charm-quark from QCD sum rules

Abstract

Relativistic and non-relativistic ratios of Laplace transform QCD moment sum rules for charmonium are used in order to determine the value of the on-shell charm-quark mass. The validity of the non-relativistic version of QCD sum rules in this particular application is discussed. After using current values of the perturbative and non-perturbative QCD parameters, as well as experimental data on the $J/\psi$ system, we obtain $m_c(Q^2=m_c^2)=1.46\pm 0.07\text{mbox}GeV$.

Comments: UCT-TP-207/94, Latex File, 5 figures available upon request. To be published in Phys. Lett. B