Light quark masses in quenched QCD with exact chiral symmetry

Abstract

The parameters in the pseudoscalar meson mass formula in quenched chiral perturbation theory to one-loop order are determined by quenched lattice QCD with overlap Dirac operator, and from which the light quark masses are determined with the experimental inputs of pion and kaon masses, and the pion decay constant. Our results are $m_{u,d}=5.3\pm 0.3$ MeV, and $m_s=115\pm 8$ MeV, in the $\overline{MS}$ scheme at scale $\mu =2$ GeV.

5 pages, LaTeX, in v2: the missing numerical factor in (13) is restored, and the physical quark masses (16)-(17) are in good agreement with the current lattice world average

References in corpus (3)

• Light Quark Masses with Overlap Fermions in Quenched QCD
• Quark Masses on the Lattice: Light and Heavy
• Scalar condensate and light quark masses from overlap fermions

Cited by in corpus (8)

• Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
• A note on Zolotarev optimal rational approximation for the overlap Dirac operator
• Recent results from lattice calculations
• Chiral Effective Lagrangian and Quark Masses
• Charmonium Spectrum from Quenched QCD with Overlap Fermions
• Quenched chiral logarithms in lattice QCD with overlap Dirac quarks
• A Linux PC cluster for lattice QCD with exact chiral symmetry
• A computational system for lattice QCD with overlap Dirac quarks