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We determine the charm quark mass ${hat m}_c({hat m}_c)$ from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD. Only experimental data for the charm resonances below the continuum threshold are needed in our approach, while the continuum contribution is determined by requiring self-consistency between various sum rules, including the one for the zeroth moment. Existing data from the continuum region can then be used to bound the theoretical error. Our result is ${hat m}_c({hat m}_c) = 1272 pm 8$ MeV for $hatalpha_s(M_Z) = 0.1182$. Special attention is given to the question how to quantify and justify the uncertainty.
We compute the charm quark mass in lattice QCD and compare different formulations of the heavy quark, and quenched data to that with dynamical sea quarks. We take the continuum limit of the quenched data by extrapolating from three different lattice
We present an analysis to determine the charm quark mass from non-relativistic sum rules, using a combined approach taking into account fixed-order and effective-theory calculations. Non-perturbative corrections as well as higher-order perturbative c
In this paper, we present preliminary results of the determination of the charm quark mass $hat{m}_c$ from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD at ${cal O} (hat alpha_s^3)$. Self-consistency between
We discuss the impact of the charm quark mass in the CTEQ NNLO global analysis of parton distribution functions of the proton. The $bar{rm MS}$ mass $m_c(m_c)$ of the charm quark is extracted in the S-ACOT-$chi$ heavy-quark factorization scheme at ${
We show that one can re-arrange the Heavy Quark Expansion for inclusive weak decays of charmed hadrons in such a way that the resulting expansion is an expansion in $Lambda_{rm QCD} / m_c$ and $alpha_s (m_c)$ with order-one coefficients. Unlike in th