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arxiv: hep-ph/9907509 · v1 · submitted 1999-07-27 · ✦ hep-ph

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Short Distance Mass of a Heavy Quark at Order α_s³

K.G. Chetyrkin , M. Steinhauser
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classification ✦ hep-ph
keywords quarkmassalphamassesorderbottomcomputedcorrection
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The relation between the on-shell quark mass and the mass defined in the modified minimal subtraction scheme is computed up to order \alpha_s^3. Implications for the numerical values of the top and bottom quark masses are discussed. We show that the new three-loop correction significantly reduces the theoretical uncertainty in the determination of the quark masses.

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    Renormalon resummation with a holomorphic timelike coupling yields estimates for b and c quark pole masses and related hadronic parameters from MS-bar inputs and known series coefficients.