I=2 $π$-$π$ scattering length with dynamical overlap fermion

Details I=2 $π$-$π$ scattering length with dynamical overlap fermion I=2 $π$-$π$ scattering length with dynamical overlap fermion

2011-08-15

arxiv.org/abs/1108.2970v1

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, 7 figures

Scientific paper

We report on a lattice QCD calculation of the I=2 $\pi\pi$ scattering length using the overlap fermion formulation for both sea and valence quarks. We investigate the consistency of the lattice data with the prediction of the next-to-next-to-leading order chiral perturbation theory after correcting finite volume effects. The calculation is performed on gauge ensembles of two-flavor QCD generated by the JLQCD collaboration on a $16^3\times 32$ lattice at a lattice spacing $\sim$ 0.12 fm.

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