Year: 1999
Type: article
Abstract: The relation between the on-shell quark mass and the mass defined in the modified minimal subtraction scheme is computed up to order ${\ensuremath{\alpha}}_{s}^{3}$ using conformal mapping and Pad\'e approximation. 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.
Source: Physical Review Letters
Authors: K. G. Chetyrkin, M. Steinhauser
Institutions: Karlsruhe Institute of Technology, University of Bern
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W1679904973