The inverse amplitude method in Chiral Perturbation Theory

Details The inverse amplitude method in Chiral Perturbation Theory The inverse amplitude method in Chiral Perturbation Theory

1996-04-26

arxiv.org/abs/hep-ph/9604416v2

Phys.Rev. D56 (1997) 3057-3073

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages. 25 eps figures. Uses epsf.tex. Final reduced version to appear in Phys. Rev. D Some numerical errors corrected. Comm

Scientific paper

10.1103/PhysRevD.56.3057

Based on a dispersive approach, we apply the inverse amplitude method to unitarize one-loop SU(2) and SU(3) Chiral Perturbation Theory. Numerically, we find that this unitarization technique yields the correct complex analytic structure in terms of cuts and poles. Indeed, using the chiral parameter estimates obtained from low energy experiments we obtain the poles associated with the rho(770) and K^*(982) resonances. Just by fixing their actual masses we obtain a parametrization of the pi-pi and pi-K phase shifts in eight different channels. With this fit we have then calculated several low-energy phenomenological parameters estimating their errors. Among others, we have obtained the chiral parameters and scattering lengths, which can be relevant for future experiments.

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