Two Meson Systems with Ginsparg-Wilson Valence Quarks

Abstract

Unphysical effects associated with finite lattice spacing and partial quenching may lead to the presence of unphysical terms in chiral extrapolation formulae. These unphysical terms must then be removed during data analysis before physical predictions can be made. In this work, we show that through next-to-leading order, there are no unphysical counterterms in the extrapolation formulae, expressed in lattice-physical parameters, for meson scattering lengths in theories with Ginsparg-Wilson valence quarks. Our work applies to most sea quark discretization, provided that chiral perturbation theory is a valid approximation. We demonstrate our results with explicit computations and show that, in favorable circumstances, the extrapolation formulae do not depend on the unknown constant C_Mix appearing at lowest order in the mixed action chiral Lagrangian. We show that the I=1 KK scattering length does not depend on C_Mix in contrast to the I=3/2 K-pi scattering length. In addition, we show that these observables combined with f_K / f_pi and the I=2 pi-pi scattering length share only two linearly independent sets of counterterms, providing a means to test the mixed action theory at one lattice spacing. We therefore make a prediction for the I=1 KK scattering length.

21 pages, 2 figures, 2 tables. Version to be published in PRD. Improved discussion in Sec. III B. Added references

References in corpus (66)

• A Method for Simulating Chiral Fermions on the Lattice
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• ππscattering
• Chiral Fermions from Lattice Boundaries
• A construction of lattice chiral gauge theories
• Axial symmetries in lattice QCD with Kaplan fermions
• The QCD spectrum with three quark flavors
• Chiral Determinant as an Overlap of Two Vacua
• Chiral Fermions on the Lattice
• Roy equation analysis of pi pi scattering
• Chiral Perturbation Theory for the Quenched Approximation of QCD
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• Quenched Chiral Logarithms
• Variants of fattening and flavor symmetry restoration
• Spontaneous Flavor and Parity Breaking with Wilson Fermions
• Partially Quenched Gauge Theories and a Application to Staggered Fermions
• Elastic $\pi \pi$ scattering to two loops
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Partial Flavor Symmetry Restoration for Chiral Staggered Fermions
• The Low Energy $\pi \pi$ Amplitude to One and Two Loops
• Physical Results from Unphysical Simulations
• Testing improved actions for dynamical Kogut-Susskind quarks
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• A new measurement of K+(e4) decay and the s-wave pi-pi-scattering length a00
• Partially quenched chiral perturbation theory without ${\Phi }_0$
• The nucleon axial charge in full lattice QCD
• What $\pi -\pi$ Scattering Tells Us About Chiral Perturbation Theory
• The pi pi S-wave scattering lengths
• Enhanced chiral logarithms in partially quenched QCD
• Chiral perturbation theory at O(a^2) for lattice QCD
• The quark condensate from K_{e_4} decays
• I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD
• High statistics measurement of Ke4 decay properties
• Partially Quenched Chiral Perturbation Theory and the Replica Method
• Chiral Perturbation Theory for Staggered Sea Quarks and Ginsparg-Wilson Valence Quarks
• Twisted mass chiral perturbation theory at next-to-leading order
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Pion-pion scattering at low energy
• Simulations with different lattice Dirac operators for valence and sea quarks
• Baryons in Partially Quenched Chiral Perturbation Theory
• Hadronic physics with domain-wall valence and improved staggered sea quarks
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Effects of staggered fermions and mixed actions on the scalar correlator
• Lattice Computations of the Pion Form Factor
• $\pi K$ Scattering in Three Flavour ChPT
• Nucleons in Two-Flavor Partially-Quenched Chiral Perturbation Theory
• Electromagnetic and spin polarisabilities in lattice QCD
• Twist-two matrix elements at finite and infinite volume
• Finite-volume two-pion energies and scattering in the quenched approximation
• The Vector and Scalar Form Factors of the Pion to Two Loops
• Octet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Decuplet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Staggered Chiral Perturbation Theory at Next-to-Leading Order
• Finite volume corrections to pi-pi scattering
• Baryons with Ginsparg-Wilson quarks in a staggered sea
• Ginsparg-Wilson Pions Scattering in a Sea of Staggered Quarks
• Strong Isospin Breaking in the Nucleon and Delta Masses on the Lattice
• The role of the double pole in lattice QCD with mixed actions
• Isospin violation in low-energy charged pion-kaon scattering
• Extrapolations of Lattice Meson Form Factors
• Unphysical Operators in Partially Quenched QCD
• Partially-Quenched Nucleon-Nucleon Scattering
• Extrapolation Formulas for Neutron EDM Calculations in Lattice QCD
• Baryon masses at O(a^2) in chiral perturbation theory
• Isospin violation in pion-kaon scattering
• The eta mass and NNLO Three-Flavor Partially Quenched Chiral Perturbation Theory

Cited by in corpus (52)

• FLAG Review 2019
• FLAG Review 2021
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Review of lattice results concerning low energy particle physics
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• The Scalar Strange Content of the Nucleon from Lattice QCD
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Nuclear Physics from Lattice QCD
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• Strangeness and charmness content of nucleon from overlap fermions on 2+1-flavor domain-wall fermion configurations
• Heavy physics contributions to neutrinoless double beta decay from QCD
• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• The K+K+ Scattering Length from Lattice QCD
• Meson-Baryon Scattering Lengths from Mixed-Action Lattice QCD
• Scattering lengths for two pseudoscalar meson systems
• Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: isospin-2 $\pi \pi$ scattering length
• Hadronic Interactions from Lattice QCD
• Hyperons in Two Flavor Chiral Perturbation Theory
• Lattice study on $\pi K$ scattering with moving wall source
• 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
• Discretization effects and the scalar meson correlator in mixed-action lattice simulations
• SU(2) Low-Energy Constants from Mixed-Action Lattice QCD
• Interactions of $\pi K$, $\pi \pi K$ and $KK\pi$ systems at maximal isospin from lattice QCD
• Evidence for non-analytic light quark mass dependence in the baryon spectrum
• Mixed Action Effective Field Theory: an Addendum
• Nuclear Reactions from Lattice QCD
• The ${\Delta }_{mix}$ parameter in the overlap on domain-wall mixed action
• 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 $w_0$
• Large $N_c$ scaling of meson masses and decay constants
• Matrix elements of the complete set of ΔB = 2 and ΔC = 2 operators in heavy meson chiral perturbation theory
• Pion Scattering in Wilson Chiral Perturbation Theory
• Pion scattering in Wilson ChPT
• Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: $I=3/2$ $\pi K$ Scattering Length
• Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: isospin-1 $KK$ scattering length
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• Low-energy pi-pi and pi-K scatterings revisited in three-flavour resummed chiral perturbation theory
• Exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ system
• pi-pi Scattering in Twisted Mass Chiral Perturbation Theory
• Ratio of strange to $u/d$ momentum fraction in disconnected insertions
• Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory
• Effective Field Theory for the Anisotropic Wilson Lattice Action
• On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD
• Topics in Lattice QCD and Effective Field Theory
• Bubble contributions to scalar correlators with mixed actions