Vector Meson Mass Corrections at O(a^2) in PQChPT with Wilson and Ginsparg-Wilson quarks

TL;DR

This paper derives lattice heavy meson chiral Lagrangians up to order O(a^2) for Wilson and Ginsparg-Wilson quarks, providing formulas to extract physical ho meson masses from lattice data.

Contribution

It introduces a comprehensive derivation of mixed and unmixed lattice heavy meson chiral Lagrangians up to order O(a^2) for two-flavor partially quenched QCD, including decay channel effects.

Findings

Derived chiral-continuum extrapolation formulas for ho meson mass.

Included corrections for rotational symmetry violation and decay channels.

Compared formulas with numerical simulation methods.

Abstract

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.