I review the current status of lattice calculations of light and heavy quark masses. Significant progresses, in these studies, have been allowed by the introduction of improved actions and non-perturbative renormalization techniques. Current determinations of light quark masses are accurate at the level of 20%, where the main source of uncertainty is represented by the quenching error. The determination of the bottom quark mass is accurate at the impressive level of 2%. As final averages of lattice results, I quote mud(2 GeV) = (4.5 +- 1.0) MeV, ms(2 GeV) = (110 +- 25) MeV and mb(mb) = (4.26 +- 0.09) GeV.
Cite
@article{arxiv.hep-lat/0012003,
title = {Quark Masses on the Lattice: Light and Heavy},
author = {V. Lubicz},
journal= {arXiv preprint arXiv:hep-lat/0012003},
year = {2008}
}
Comments
Lattice 2000 (Plenary), 14 pages (LaTeX), 6 postscript figures; plenary talk at 18th International Symposium on Lattice Field Theory (Lattice 2000), Bangalore, India, 17-22 Aug 2000