A detailed error analysis is carried out for the determination of the MS charm quark mass m̄c(m̄c) from moments at order αs2 of the charm cross section in e+e− annihilation. To estimate the theoretical uncertainties the renormalization scale is implemented in various ways including energy-dependent functions, which lead to “contour-improved” predictions. We obtain m̄c(m̄c)=1.29±0.07 GeV which contains a substantial theoretical uncertainty.
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Hoang et al. (2004) studied this question.
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