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Precise determination of the I=2 ππ scattering length from mixed-action lattice QCD

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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 I = 2 π π = − 0.043   30 ± 0.000   42 , where the error bar combines the statistical and systematic uncertainties in quadrature.

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BEANE, Silas R., et al. Precise determination of the I=2 ππ scattering length from mixed-action lattice QCD. Physical Review D. 2008. Vol. 77, num. 1, pags. 014505. ISSN 1550-7998. [consulted: 28 of June of 2026]. Available at: https://hdl.handle.net/2445/131685

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