Lattice study on kaon pion scattering length in the $I=3/2$ channel

Details Lattice study on kaon pion scattering length in the $I=3/2$ channel Lattice study on kaon pion scattering length in the $I=3/2$ channel

2004-03-28

arxiv.org/abs/hep-lat/0403028v1

Phys.Lett. B595 (2004) 400-407

Physics

High Energy Physics

High Energy Physics - Lattice

Latex file typeset with elsart.cls, 9 pages, 3 figures

Scientific paper

10.1016/j.physletb.2004.05.073

Using the tadpole improved Wilson quark action on small, coarse and anisotropic lattices, $K\pi$ scattering length in the $I=3/2$ channel is calculated within quenched approximation. The results are extrapolated towards the chiral and physical kaon mass region. Finite volume and finite lattice spacing errors are also analyzed and a result in the infinite volume and continuum limit is obtained. Our result is compared with the results obtained using Roy equations, Chiral Perturbation Theory, dispersion relations and the experimental data.

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