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We determine the MS-bar charm quark mass from a charmonium QCD sum rulesanalysis. On the theoretical side we use input from perturbation theory atO(alpha_s^3). Improvements with respect to previous O(alpha_s^3) analysesinclude (1) an account of all available e+e- hadronic cross section data and(2) a thorough analysis of perturbative uncertainties. Using a data clusteringmethod to combine hadronic cross section data sets from different measurementswe demonstrate that using all available experimental data up to c.m. energiesof 10.538 GeV allows for determinations of experimental moments and theircorrelations with small errors and that there is no need to rely on theoreticalinput above the charmonium resonances. We also show that good convergenceproperties of the perturbative series for the theoretical sum rule moments needto be considered with some care when extracting the charm mass and demonstratehow to set up a suitable set of scale variations to obtain a proper estimate ofthe perturbative uncertainty. As the final outcome of our analysis we obtainm_c(m_c) = 1.282 \pm 0.006_stat \pm 0.009_syst \pm 0.019)_pert \pm 0.010_alpha\pm 0.002_GG GeV. The perturbative error is an order of magnitude larger thanthe one obtained in previous O(alpha_s^3) sum rule analyses.

Charm Mass Determination from QCD Charmonium Sum Rules at Order alpha_s^3