Precision measurement of charged kaon decay parameters with an extended NA48 setup

A high statistics study of charged kaon decays is proposed using a novel design for simultaneous $K^+/K^-$ beams, and NA48 setup upgraded with a transition radiation detector. The main goal is to measure CP-violating asymmetry in $K^{\pm}\rightarrow \pi^+ \pi^- \pi^{\pm}$ decays with an accuracy of $2.2 \times 10^{-4}$. In addition CP-violating asymmetry will be measured in $K^{\pm}\rightarrow \pi^0 \pi^0 \pi^{\pm}$ decays, more than $10^6$ of $K_{e4}$ decays will be accumulated which allow to measure a scattering length parameter $a^0_0$ with an accuracy better than 0.01, and some other rare decays will be studied as well.