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arXiv:hep-ph/9912391·v2·High Energy Physics — Phenomenology

The three loop relation between the \bar {MS} and the pole quark masses

Kirill Melnikov🇺🇸 · Timo van Ritbergen🇩🇪

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Abstract

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.

Comments: 7 pages, 1 figure, revtex, minor changes

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