arXiv:0706.3026·v1·High Energy Physics — Lattice
Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
Silas R. Beane🇺🇸 · Thomas C. Luu🇺🇸 · Kostas Orginos🇺🇸 · Assumpta Parreno🇪🇸 · Martin J. Savage🇺🇸 · Aaron Torok🇺🇸 · Andre Walker-Loud🇺🇸
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.
Comments: 20 pages, 7 figures