Chiral Phenomenological Relations between Rates of Rare Radiative Decay of Kaon to Pion and leptons and the meson Formfactors

Physics – High Energy Physics – High Energy Physics - Phenomenology

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11 pages, 7 figures. To appear in Particles and Nuclei, Letters

Scientific paper

10.1134/S1547477111010092

In framework of the chiral perturbation theory we obtain the phenomenological relations between decay branches of rare radiative kaon to pion and leptons $K^+ \to \pi^+ l^+ l^-$ and $K^0_S \to \pi^0 l^+ l^-$ and meson form factors. The comparison of these results with the present day experimental data shows us that the ChPT relations for a charge kaon can determine meson form factors from already measured decay rates at high precision level. However, in the case of the neutral kaon decays $K^0 \to \pi^0 e^+ e^- (\mu^+ \mu^-)$ the formfactor data are known to a high precision than data on the differential rates of radiative kaon decay $K^0 \to \pi^0 e^+ e^- (\mu^+ \mu^-)$.

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