Precise determination of the scattering length from mixed-action lattice QCD

SR Beane, TC Luu, K Orginos, A Parreno… - Physical Review D …, 2008 - APS
Physical Review D—Particles, Fields, Gravitation, and Cosmology, 2008APS
The I= 2 π π 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 π a π π I= 2=-0.043 30±0.000
42, where the error bar combines the statistical and systematic uncertainties in quadrature.
The 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 , where the error bar combines the statistical and systematic uncertainties in quadrature.
American Physical Society
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