I=2 $\pi$-$\pi$ scattering length with dynamical overlap fermion

Takuya Yagi; Shoji Hashimoto; Osamu Morimatsu; Munehisa Ohtani

I=2 $\pi$-$\pi$ scattering length with dynamical overlap fermion

High Energy Physics - Lattice 2011-08-16 v1 High Energy Physics - Phenomenology

Authors: Takuya Yagi , Shoji Hashimoto , Osamu Morimatsu , Munehisa Ohtani

Abstract

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.

Keywords

lattice qcd chiral perturbation theory

Cite

@article{arxiv.1108.2970,
  title  = {I=2 $\pi$-$\pi$ scattering length with dynamical overlap fermion},
  author = {Takuya Yagi and Shoji Hashimoto and Osamu Morimatsu and Munehisa Ohtani},
  journal= {arXiv preprint arXiv:1108.2970},
  year   = {2011}
}

Comments

25 pages, 7 figures

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