Quark Masses on the Lattice: Light and Heavy

TL;DR

This paper reviews recent progress in lattice calculations of light and heavy quark masses, highlighting improved techniques, current accuracy levels, and final averaged values for quark masses.

Contribution

It provides an updated summary of lattice determinations of quark masses, emphasizing advances due to improved actions and non-perturbative renormalization.

Findings

Light quark masses determined with 20% accuracy.

Bottom quark mass determined with 2% accuracy.

Final averaged quark masses: mud(2 GeV)=4.5 MeV, ms(2 GeV)=110 MeV, mb(mb)=4.26 GeV.

Abstract

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.