Abstract

Rare kaon decays provide unique opportunity to test the Standard Model and probe its possible extensions. The final result on the lepton universality test by measuring the ratio R\_K = G(K+- to e+- nu)/G(K+- to mu+- nu) is presented as well as the status of the study of the rare decays K+- to pi+- gamma gamma and K+ to e+ nu gamma. The primary goal of the NA62 experiment is the measurement of the Br(K+ to pi+ nu anti-nu) decay with a precision of 10\% in two years of data taking. The detector setup together with the analysis technique is described.

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