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The three loop relation between the MS and the pole quark masses

Kirill Melnikov, Timo van Ritbergen

hep-pharXiv:hep-ph/9912391

Abstract

The analytic relation between the MS and the pole quark masses is computed to O(αs3) in QCD. Using this exact result, the accuracy of the large β0 approximation is critically examined and the implications of the obtained relation for semileptonic B decays are discussed.

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