Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization

Details Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization

2001-09-07

arxiv.org/abs/hep-ph/0109056v2

Phys.Rev. D65 (2002) 054009

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 5 figures. Comments on sigma, kappa and eta', as well as some references added. Final version to appear in Phys.Rev.

Scientific paper

We present the complete one-loop calculation of all the two meson scattering amplitudes within the framework of SU(3) Chiral Perturbation Theory, which includes pions, kaons and the eta. In addition, we have unitarized these amplitudes with the coupled channel Inverse Amplitude Method, which ensures simultaneously the good low energy properties of Chiral Perturbation Theory and unitarity. We show how this method provides a remarkable description of meson-meson scattering data up to 1.2 GeV including the scattering lengths and the generation of seven light resonances, which is consistent with previous determination of the chiral parameters. Particular attention is paid to discuss the differences and similarities of this work with previous analysis in the literature.

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