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.

6 pages,3 figures, Talk given at the Euroconference on Quantum Chromodynamics (QCD 2000), Montpellier, July 2000, conference information added

References in corpus (2)

• The three loop relation between the \bar {MS} and the pole quark masses
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$

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