QCD sum rule analysis of the charmonium system: The charm quark mass

Abstract

In this work, the charm quark mass is obtained from a QCD sum rule analysis of the charmonium system. In our investigation we include results from non-relativistic QCD at next-to-next-to-leading order. Using the pole mass scheme, we obtain a value of $M_c=1.70\pm 0.13$ GeV for the charm pole mass. The introduction of a potential-subtracted mass leads to an improved scale dependence. The running ${\rm \MSb}$-mass is then determined to be $m_{c}(m_{c}) = 1.23 \pm 0.09$ GeV.