Abstract
We have calculated the K K → K K scattering amplitude to next-to-leading order in chiral perturbation theory. Then, making use of a unitarization procedure with one or several coupled channels ( ππ, K K in our case) we have calculated the ππ → ππ, ππ → K K and K K → K K S- and P-waves in good agreement with the experiment up to √s ⋍ 1.2 GeV . The ππ scattering lengths with isospin and spin ( I, J) equal to (0,0), (1,1) and (2,0) are also calculated in agreement with experiment and former chiral perturbation theory calculations. Finally we have employed these amplitudes, making use of an Omnès representation, to calculate the scalar and the vector pion form factors, obtaining a good agreement with the available experimental data.
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