Chiral Perturbation Theory for Staggered Sea Quarks and Ginsparg-Wilson Valence Quarks

Abstract

We study lattice QCD with staggered sea and Ginsparg-Wilson valence quarks. The Symanzik effective action for this mixed lattice theory, including the lattice spacing contributions of O(a^2), is derived. Using this effective theory we construct the leading order chiral Lagrangian. The masses and decay constants of pseudoscalars containing two Ginsparg-Wilson valence quarks are computed at one loop order.

38 pages, 5 figures, LaTeX2e; references added and typos corrected

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• The nucleon axial charge in full lattice QCD
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD
• Nucleon form factors with 2+1 flavor dynamical domain-wall fermions
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• Heavy physics contributions to neutrinoless double beta decay from QCD
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• The neutral kaon mixing parameter B_K from unquenched mixed-action lattice QCD
• Staggered Chiral Perturbation Theory for Heavy-Light Mesons
• First Calculation of Hyperon Axial Couplings from Lattice QCD
• The K+K+ Scattering Length from Lattice QCD
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• Finite volume corrections to pi-pi scattering
• f_K/f_pi in Full QCD with Domain Wall Valence Quarks
• $B_K$ using HYP-smeared staggered fermions in $N_f=2+1$ unquenched QCD
• Status of Lattice QCD Determination of Nucleon Form Factors and their Relevance for the Few-GeV Neutrino Program
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• Effective field theories for QCD with rooted staggered fermions
• Ginsparg-Wilson Pions Scattering in a Sea of Staggered Quarks
• Hadronic Interactions from Lattice QCD
• Hyperons in Two Flavor Chiral Perturbation Theory
• Universality of Mixed Action Extrapolation Formulae
• Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions
• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
• The role of the double pole in lattice QCD with mixed actions
• Discretization effects and the scalar meson correlator in mixed-action lattice simulations
• An accurate calculation of the nucleon axial charge with lattice QCD
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• SU(2) Low-Energy Constants from Mixed-Action Lattice QCD
• Evidence for non-analytic light quark mass dependence in the baryon spectrum
• Mixed Action Effective Field Theory: an Addendum
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• The Gell-Mann -- Okubo mass relation among baryons from fully-dynamical mixed-action lattice QCD
• Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles
• Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales $t_0$ and $w_0$
• Pion scattering in Wilson ChPT
• Pion Scattering in Wilson Chiral Perturbation Theory
• Chiral Corrections and the Axial Charge of the Delta
• Pseudo-scalar meson spectral properties in the chiral crossover region of QCD
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• Chiral Corrections to Hyperon Axial Form Factors
• Logarithmic corrections to O($a$) and O($a^2$) effects in lattice QCD with Wilson or Ginsparg-Wilson quarks
• The Kaon B-parameter in Mixed Action Chiral Perturbation Theory
• Connected Parts of Decuplet Electromagnetic Properties
• Flavor symmetry breaking in lattice QCD with a mixed action
• Hyperon Electromagnetic Properties in Two-Flavor Chiral Perturbation Theory
• Semileptonic Kaon Decay in Staggered Chiral Perturbation Theory
• Nucleon Mass with Highly Improved Staggered Quarks
• Distance between various discretized fermion actions
• Charmless chiral perturbation theory for N_f=2+1+1 twisted mass lattice QCD
• Taste non-Goldstone, flavor-charged pseudo-Goldstone boson masses in staggered chiral perturbation theory
• Low-energy constant $L_{10}$ in a two-representation lattice theory
• Topics in Effective Field Theory for Lattice QCD
• Progress in kaon physics on the lattice
• Understanding nucleon structure using lattice simulations
• Precise study of triply charmed baryons ${\Omega }_{ccc}$
• Masses and decay constants of pions and kaons in mixed-action staggered chiral perturbation theory
• Current Physics Results from Staggered Chiral Perturbation Theory
• The conserved axial current in the presence of multiple chiral symmetries
• Double poles in Lattice QCD with mixed actions
• PQChPT with Staggered Sea and Valence Ginsparg-Wilson Quarks: Vector Meson Masses
• Bubble contributions to scalar correlators with mixed actions