The three loop relation between the bar {MS} and the pole quark masses
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✦ hep-ph
keywords
relationmassespolequarkaccuracyalphaanalyticapproximation
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The analytic relation between the \bar {MS} and the pole quark masses is computed to O(\alpha_s^3) in QCD. Using this exact result, the accuracy of the large \beta_0 approximation is critically examined and the implications of the obtained relation for semileptonic B decays are discussed.
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