Precision measurements of rare kaon decays

We report the recent results on rare kaon decays from the NA48/2 experiment. The precise measurement of direct photon emission (DE) in the decay K± -> pi± pi0 gamma and its interference (INT), with the INT amplitude being observed for the first time, has been finalized. This study is based on the full NA48/2 data set with about 600k reconstructed K± -> pi± pi0 gamma decays which is factor of 30 larger than for previous experiments. Samples of about 7200 reconstructed K± -> pi± e+ e-, and more than 3000 K± -> pi± mu+ mu- events, with very small background contamination, have been collected. The latter is exceeding the total existing statistics by a factor of five. A precise measurement of the branching fractions and the form factors of the rare decays K± -> pi± l+ l- has been performed using different theoretical models. The CP violating asymmetry between K+ and K- in this channel is also measured.