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The NA48/2 experiment at the CERN SPS has collected an unprecedented sampleof $K^\pm\to3\pi$ decays. The high statistics and the good resolution of thedetectors allow a unique investigation of the detailed phase spacedistributions of these decays. The effects of final state pion rescatteringobserved in the Dalitz plot distribution of the $K^\pm\to\pi^\pm\pi^0\pi^0$decays turned out to be a powerful tool for extraction of the S-wave $\pi\pi$scattering lengths. The large statistics also allowed a precise measurement ofthe Dalitz plot slope parameters for the $K^\pm\to3\pi^\pm$ decays.

Precision study of K^\pm\to\pi^\pm\pi^0\pi^0 and K^\pm\to\pi^\pm\pi^+\pi^- Dalitz plot distributions by NA48/2