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

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We derive the mixed as well as unmixed lattice heavy meson chiral Lagrangian up to order O(a²), with Wilson and Ginsparg-Wilson fermions. We consider two flavor partially quenched QCD and calculate vector meson mass corrections up to order O(a²), 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 ρ-> ππdecay channel. The final result is a chiral-continuum extrapolation formula with model dependent coefficients from which one can recover the physical ρmeson 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.