Application of chiral perturbation theory to 2+1 flavor lattice QCD with O(a)-improved Wilson quarks

Understand

We apply chiral perturbation theory to the pseudoscalar meson mass and decay constant data obtained in the PACS-CS Project toward 2+1 flavor lattice QCD simulations with the O(a)-improved Wilson quarks.

• We examine the existence of chiral logarithms in the quark mass range from m_{ud}=47 MeV down to 6 MeV on a (2.8 fm)^3 box with the lattice spacing a=0.09 fm.
• Several low energy constants are determined.
• We also discuss the magnitude of finite size effects based on chiral perturbation theory.