Charm quark mass from QCD sum rules for the charmonium system

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 nonrelativistic 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 $\overline{\mathrm{MS}}$-mass is then determined to be $m_c(m_c)=1.23\pm 0.09$ GeV.

Comments: 15 pages, 3 figures