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

Abstract

We calculate the vector meson masses in $N_{\mathrm{f}}=2+1$ 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, $p\sim a{\Lambda }_{\mathrm{QCD}}^2$. 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.

26 pages

References in corpus (4)

• Light hadron spectroscopy in two-flavor QCD with small sea quark masses
• Chiral perturbation theory at non-zero lattice spacing
• Pseudo scalar meson masses in Wilson Chiral Perturbation Theory for 2+1 flavors
• Vector Meson Mass Corrections at O(a^2) in PQChPT with Wilson and Ginsparg-Wilson quarks

Cited by in corpus (4)

• Light quark masses from unquenched lattice QCD
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• Pseudo scalar meson masses in Wilson Chiral Perturbation Theory for 2+1 flavors
• Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles