Precise charm- and bottom-quark masses: Theoretical and experimental uncertainties

• DOI: 10.1007/s11232-012-0024-7
• Publication Date: 2012-03-08T09:30:15Z
• Authors: K. G. Chetyrkin; J. H. Kühn; A. Maier; P. Maierhöfer; P. Marquard; M. Steinhauser; C. Sturm
• Keywords: Charm (quantum number); Charm quark

Recent theoretical and experimental improvements in the determination of charm and bottom quark masses are discussed. A new and improved evaluation of the contribution from the gluon condensate $< \frac{��_s}�� G^2>$ to the charm mass determination and a detailed study of potential uncertainties in the continuum cross section for $b\bar b$ production is presented, together with a study of the parametric uncertainty from the $��_s$-dependence of our results. The final results, $m_c(3 \text{GeV})=986(13) $MeV and $m_b(m_b)=4163(16) $MeV, represent, together with a closely related lattice determination $m_c(3\;{\rm GeV})=986(6) $MeV, the presently most precise determinations of these two fundamental Standard Model parameters. A critical analysis of the theoretical and experimental uncertainties is presented.<br/>12 pages, presented at Quarks~2010, 16th International Seminar of High Energy Physics, Kolomna, Russia, June 6-12, 2010; v2: references added<br/>