Vector meson masses in 2+1 flavor Wilson Chiral Perturbation Theory

Details Vector meson masses in 2+1 flavor Wilson Chiral Perturbation Theory Vector meson masses in 2+1 flavor Wilson Chiral Perturbation Theory

2006-01-14

arxiv.org/abs/hep-lat/0601019v1

Phys.Rev. D73 (2006) 094501

Physics

High Energy Physics

High Energy Physics - Lattice

26 pages

Scientific paper

10.1103/PhysRevD.73.094501

We calculate the vector meson masses in $N_{\rm f} = 2+1$ Wilson chiral perturbation theory at next-to-leading order. Generalizing the framework of heavy vector meson chiral perturbation theory, the quark mass and the lattice cutoff dependence of the vector meson masses is derived. Our chiral order counting assumes that the lattice cut-off artifacts are of the order of the typical pion momenta, $p \sim a\Lambda_{\rm QCD}^{2}$. This counting scheme is consistent with the one in the pseudo scalar meson sector where the O($a^2$) terms are included in the leading order chiral Lagrangian.

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