Pseudoscalar meson masses in Wilson chiral perturbation theory for 2+1 flavors

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