Search for direct CP violating charge asymmetries in $K^\pm\toπ^\pmπ^+π^-$ and $K^\pm\toπ^\pmπ^0π^0$ decays

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A measurement of the direct CP violating charge asymmetries of the Dalitz plot linear slopes $A_g=(g^+-g^-)/(g^++g^-)$ in $K^\pm\toπ^\pmπ^+π^-$ and $K^\pm\toπ^\pmπ^0π^0$ decays by the NA48/2 experiment at CERN SPS is presented. A new technique of asymmetry measurement involving simultaneous $K^+$ and $K^-$ beams and a large data sample collected allowed a result of an unprecedented precision. The charge asymmetries were measured to be $A^c_g=(-1.5\pm2.2)\times10^{-4}$ with $3.11\times 10^9$ $K^{\pm}\toπ^\pmπ^+π^-$ decays, and $A^n_g=(1.8\pm1.8)\times10^{-4}$ with $9.13\times 10^7$ $K^{\pm}\toπ^\pmπ^0π^0$ decays. The precision of the results is limited mainly by the size of the data sample.
29 pages, 9 figures. An updated version accepted by the EPJC

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