μ→3e and μ→eγ decays in the model with neutrino and heavy neutral leptons mixing

Muon number nonconservation is discussed within the framework of the renormalizable model of Decker and Pestieau. To renormalize this model four heavy leptons are added. Then the gauge group SU(2)xU(1) is considered. Besides standard left doublets, the right ones in which mixing of neutrino and neutral heavy leptons takes place are introduced. In such a scheme the neutral current of charged leptons is a pure vector. Then the branching ratios of μ→3e and μ→eγ decays are evaluated. It has been shown that these quantities greatly depend upon neutrino masses. If neutrino has a mass about 0.65 MeV, the μ→eγ decay probability may well be close to its experimentally determined upper limit. It this model the μ→3e decay rate is a/π times less than the μ→eγ decay rate