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 to the
charm mass determination and a detailed study of potential uncertainties in the
continuum cross section for bbˉ production is presented, together with a
study of the parametric uncertainty from the αs-dependence of our
results. The final results, mc(3GeV)=986(13)MeV and
mb(mb)=4163(16)MeV, represent, together with a closely related lattice
determination mc(3GeV)=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.Comment: 12 pages, presented at Quarks~2010, 16th International Seminar of
High Energy Physics, Kolomna, Russia, June 6-12, 2010; v2: references adde