SU(2) Low-Energy Constants from Mixed-Action Lattice QCD

Abstract

An analysis of the pion mass and pion decay constant is performed using mixed-action Lattice QCD calculations with domain-wall valence quarks on ensembles of rooted, staggered n_f = 2+1 MILC configurations. Calculations were performed at two lattice spacings of b~0.125 fm and b~0.09 fm, at two strange quark masses, multiple light quark masses, and a number of lattice volumes. The ratios of light quark to strange quark masses are in the range 0.1 <= m_l / m_s <= 0.6, while pion masses are in the range 235 < m_π< 680 MeV. A two-flavor chiral perturbation theory analysis of the Lattice QCD calculations constrains the Gasser-Leutwyler coefficients bar{l}_3 and bar{l}_4 to be bar{l}_3 = 4.04(40)(+73-55) and bar{l}_4 = 4.30(51)(+84-60). All systematic effects in the calculations are explored, including those from the finite lattice space-time volume, the finite lattice spacing, and the finite fifth dimension in the domain-wall quark action. A consistency is demonstrated between a chiral perturbation theory analysis at fixed lattice spacing combined with a leading order continuum extrapolation, and the mixed-action chiral perturbation theory analysis which explicitly includes the leading order discretization effects. Chiral corrections to the pion decay constant are found to give f_π/ f = 1.062(26)(+42-40) where f is the decay constant in the chiral limit. The most recent scale setting by the MILC Collaboration yields a postdiction of f_π= 128.2(3.6)(+4.4-6.0)(+1.2-3.3) MeV at the physical pion mass.

28 pages, 9 figures; version 2 accepted for publication in PRD

References in corpus (25)

• Ab-initio Determination of Light Hadron Masses
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Lattice QCD at the physical point: light quark masses
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• Continuum Limit of $B_K$ from 2+1 Flavor Domain Wall QCD
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• 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
• f_K/f_pi in Full QCD with Domain Wall Valence Quarks
• High Statistics Analysis using Anisotropic Clover Lattices: (IV) Volume Dependence of Light Hadron Masses
• Hadronic Interactions from Lattice QCD
• Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions
• Discretization effects and the scalar meson correlator in mixed-action lattice simulations
• Mixed Action Effective Field Theory: an Addendum
• The Gell-Mann -- Okubo mass relation among baryons from fully-dynamical mixed-action lattice QCD
• Color Screening by Pions
• Bottom-Hadron Mass Splittings from Static-Quark Action on 2+1-Flavor Lattices
• Kaon Condensation with Lattice QCD

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• Towards grounding nuclear physics in QCD
• The Low Energy Constants of $SU(2)$ Partially Quenched Chiral Perturbation Theory from $N_f=2+1$ Domain Wall QCD
• Lattice QCD at the physical point meets SU(2) chiral perturbation theory
• The scalar pion form factor in two-flavor lattice QCD
• Two-loop analysis of the pion-mass dependence of the $\rho$ meson
• Towards an improved understanding of $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$
• The $\gamma \pi \to \pi \pi$ anomaly from lattice QCD and dispersion relations
• Quark-mass dependence in $\omega \to 3\pi$ decays
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Large $N_c$ scaling of meson masses and decay constants
• Coherent $\mu -e$ Conversion at Next-to-Leading Order
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• The isospin-3 three-particle $K$-matrix at NLO in ChPT
• From pole parameters to line shapes and branching ratios
• Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants
• Dispersive Analysis of $D$- and $B$-Meson Form Factors with Chiral and Heavy-Quark Constraints