TTP99-51 The three-loop relation between the MS-bar and the pole quark mass

TTP99-51 The three-loop relation between the MS-bar and the pole quark mass

TTP99-51 The three-loop relation between the MS-bar and the pole quark mass

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.

Kirill Melnikov and Timo van Ritbergen
Phys. Lett. B482 99-108 2000
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