CP-violation and $ππ$-interaction in the radiative decays of $K_L$ and $K_S$

Physics – High Energy Physics – High Energy Physics - Phenomenology

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6 pages, 7 figures, 1 table, LaTex; moriond.sty included; text corrected. Contribution to the XXXVIIth Rencontres de Moriond,

Scientific paper

The phases of terms of amplitude that arise from the $\pi\pi$ interaction are obtained by using a simple realistic model of $\pi\pi$ interaction via virtual $\rho$-meson, instead of the ChPT. It is shown that the standard ChPT approach cannot reproduce the contribution of the $\rho$-meson to the $\pi\pi$ interaction. It is shown that the interference between the terms of amplitude with different CP-parity appears only when the photon is polarized (linearly or circularly). Instead of measuring the linear polarization, the angular correlation between the $\pi^{+}\pi^{-}$ and $e^{+}e^{-}$ planes in $K_{S,L}\to\pi^{+}\pi^{-}e^{+}e^{-}$ decay can be studied.

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