On CP-Odd Effects in K_L \to 2πand K^{\pm} \to π^{\pm} π^{\pm} π^{\mp} Decays Generated by Direct CP Violation

Abstract

The amplitudes of the K^{\pm} \to 3πand K \to 2πdecays are expressed in terms of different combinations of one and the same set of CP-conserving and CP-odd parameters. Extracting the magnitudes of these parameters from the data on K \to 2πdecays, we estimate an expected CP-odd difference between the values of the slope parameters g^+ and g^- of the energy distributions of "odd" pions in K^+ \to π^+π^+π^- and K^- \to π^-π^-π^+ decays.