Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD

Abstract

The I=2 pipi scattering length is calculated in fully-dynamical lattice QCD with domain-wall valence quarks on the asqtad-improved coarse MILC configurations (with fourth-rooted staggered sea quarks) at four light-quark masses. Two- and three-flavor mixed-action chiral perturbation theory at next-to-leading order is used to perform the chiral and continuum extrapolations. At the physical charged pion mass, we find m_pi a_pipi(I=2) = -0.04330 +- 0.00042, where the error bar combines the statistical and systematic uncertainties in quadrature.

20 pages, 7 figures

References in corpus (8)

• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Observations on staggered fermions at non-zero lattice spacing
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• Comment on "Chiral anomalies and rooted staggered fermions"
• Lattice fermions with complex mass
• Validity of the Rooted Staggered Determinant in the continuum limit

Cited by in corpus (39)

• FLAG Review 2021
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Nuclear Physics from Lattice QCD
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• Chiral extrapolation of light resonances from one and two-loop unitarized Chiral Perturbation Theory versus lattice results
• The phase-shift of isospin-2 pi-pi scattering from lattice QCD
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• First Calculation of Hyperon Axial Couplings from Lattice QCD
• The K+K+ Scattering Length from Lattice QCD
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• The Energy of n Identical Bosons in a Finite Volume at O(L^{-7})
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• Hadronic Interactions from Lattice QCD
• Hadrons in Strong Electric and Magnetic Fields
• Nuclear Reactions from Lattice QCD
• Quark mass dependence of $\pi \pi$ scattering in isospin 0, 1, and 2 from lattice QCD
• Pion scattering in Wilson ChPT
• Color Screening by Pions
• pi-pi Scattering in Twisted Mass Chiral Perturbation Theory
• Flavor symmetry breaking in lattice QCD with a mixed action
• Theoretical progress on cusp effect and Kl4 decays
• Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD
• Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory
• QCD inequalities for hadron interactions
• Theoretical progress on pi pi scattering lengths and phases
• K-pi interaction in finite volume and the K* resonance
• $\Delta I=3/2$ and $\Delta I=1/2$ channels of $K\to \pi \pi$ decay at the physical point with periodic boundary conditions
• On-shell Delta I = 3/2 kaon weak matrix elements with non-zero total momentum
• Towards high partial waves in lattice QCD with a dumbbell-like operator
• On the low energy end of the QCD spectrum
• Constraints on Disconnected Contributions in $\pi \pi$ Scattering
• Quantum chromodynamics with advanced computing
• Results from overlap valence quarks on a twisted mass sea
• Pion scattering in finite volume within the Inverse Amplitude Method
• Kaon Condensation with Lattice QCD
• Non-Strange Meson Production with Hadronic Probes
• Meson-baryon scattering lengths without annihilation diagrams to order $p^4$ in heavy baryon chiral perturbation theory
• Low-energy $DD$ scattering in lattice QCD