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

Hovhannes R. Grigoryan·Anthony W. Thomas
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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 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.

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Hovhannes R. Grigoryan, Anthony W. Thomas. 2005-10-18. Vector Meson Mass Corrections at O(a^2) in PQChPT with Wilson and Ginsparg-Wilson quarks. https://doi.org/10.1016/j.physletb.2005.11.011

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