Pseudo scalar meson masses in Wilson Chiral Perturbation Theory for 2+1 flavors

TL;DR

This paper calculates pseudo scalar meson masses in Wilson Chiral Perturbation Theory with 2+1 flavors, including lattice spacing effects, to aid chiral extrapolation of lattice QCD data.

Contribution

It provides one-loop expressions for meson masses incorporating O($a^{2}$) effects tailored for unquenched lattice simulations.

Findings

Derived formulas for meson masses with lattice spacing corrections.

Facilitates more accurate chiral extrapolations of lattice data.

Supports analysis of CP-PACS/JLQCD simulation results.

Abstract

We consider 2+1 flavor Wilson Chiral Perturbation Theory including the lattice spacing contributions of O($a^{2}$). We adopt a power counting appropriate for the unquenched lattice simulations carried out by the CP-PACS/JLQCD collaboration and compute the pseudo scalar meson masses to one loop. These expression are required to perform the chiral extrapolation of the CP-PACS/JLQCD lattice data.