# TTP99-33 Short Distance Mass of a Heavy Quark at Order $\alpha_s^3$

TTP99-33 Short Distance Mass of a Heavy Quark at Order $\alpha_s^3$

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 PDF PostScript arXiv