Abstract
The NA62 experiment at the CERN SPS aims to measure the branching ratio of the rare decay with a relative precision of . To achieve that goal, it is designed to be exposed to decays in its fiducial volume. The unprecedented flux will lead to record sensitivities to rare and forbidden decays of and , including those that violate lepton flavour or lepton number conservation. The expected NA62 performances for lepton flavour conservation and lepton universality tests are discussed. Relevant on-going or recently completed measurements from the decay data sets collected by earlier kaon experiments at CERN (NA48/2 and NA62-) are also presented.
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