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We report on the measurement of the direct emission (DE) and interference(INT) terms of the K\pm -> \pi\pm\pi^0 g decay by the NA48/2 experiment at theCERN SPS. From the data collected during 2003 and 2004 about 600k such decaycandidates have been selected. The relative amounts of DE and INT with respectto the internal bremsstrahlung (IB) contribution have been measured in therange 0<T*\pi<80 MeV:  Frac_{DE} (0<T*\pi<80 MeV) = (3.32\pm 0.15_{stat} \pm 0.14_{sys})x10^{-2}  Frac_{INT} (0<T*\pi<80 MeV) = (- 2.35\pm 0.35_{stat} \pm 0.39_{sys})x10^{-2},where T*pi is the kinetic energy of the charged pion in the kaon rest frame.This is the first observation of an interference term in T*\pi decays. Inaddition, a limit on the CP violating asymmetry in the K^+ and K^- branchingratios for this channel has been determined to be less than 1.5x10^{-3} at 90%confidence level.

Measurement of the direct emission and interference terms and search for CP violation in the decay K\pm -> \pi\pm\pi^0 g