Short Distance Mass of a Heavy Quark at Order \alpha_s^3

K.G. Chetyrkin; M. Steinhauser

Short Distance Mass of a Heavy Quark at Order \alpha_s^3

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arxiv hep-ph/9907509 v1 pith:CBMSVXBL submitted 1999-07-27 hep-ph

K.G. Chetyrkin , M. Steinhauser This is my paper · ORCID

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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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