====== TTP99-33 Short Distance Mass of a Heavy Quark at Order $\alpha_s^3$ ====== The relation between the on-shell quark mass and the mass defined in the modified minimal subtraction scheme is computed up to order \alpha_s^3. Implications for the numerical values of the top and bottom quark masses are discussed. We show that the new three-loop correction significantly reduces the theoretical uncertainty in the determination of the quark masses. |**K. G. Chetyrkin and M. Steinhauser** | |** Phys. Rev. Lett. 83 4001-4004 1999 ** | | {{preprints:1999:ttp99-33.pdf|PDF}} {{preprints:1999:ttp99-33.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9907509|arXiv]] | | |