====== 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 ** | | {{preprints:1999:ttp99-51.pdf|PDF}} {{preprints:1999:ttp99-51.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9912391|arXiv]] | | |