Vector Meson Mass Corrections at O(a²) in PQChPT with Wilson and Ginsparg-Wilson quarks

We derive the mixed as well as unmixed lattice heavy meson chiral Lagrangian up to order O(a^2), with Wilson and Ginsparg-Wilson fermions. We consider two flavor partially quenched QCD and calculate vector meson mass corrections up to order O(a^2), including the corrections associated with the violation of rotational O(4) symmetry down to the hypercubic group. Our calculations also include the one-loop, phenomenological contribution from the \rho -> \pi\pi decay channel. The final result is a chiral-continuum extrapolation formula with model dependent coefficients from which one can recover the physical \rho meson mass from the large amount of current lattice data. As a verification of our result, the chiral-continuum extrapolation formula is compared with that used in numerical simulations.