Abstract
Searches for lepton flavour violation and lepton number violation in kaon
decays by the NA62 and NA48/2 experiments at CERN are presented. A new
measurement of the ratio of charged kaon leptonic decay rates
\$R\_K=\Gamma(K\_e2)/\Gamma(K\_\mu2)\$ to sub-percent relative precision is
discussed. An improved upper limit on the lepton number violating
\$K^\pm\rightarrow\pi^\mp\mu^\pm\mu^\pm\$ decay rate is also reported. The future
10\% precision measurement of the branching ratio of the ultra-rare kaon decay
\$K^+\rightarrow\pi^+\nu\nu\$ with the NA62 experiment is finally reviewed.
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