Estimations of heavy neutrino masses and mixing in models with an extended Higgs sector

Abstract

Within two-flavor approximation for the left right model, the equations connecting the parameters of the heavy neutrino sector and the charged Higgs sector (CHS) are found. For definition of the CHS parameters the impact of the Higgs bosons on lepton flavor violation decays, low-energy light neutrino scattering, and the muon anomalous magnetic moment are investigated. It is shown, that the heavy neutrino masses ${m}_{{N}_{1,2}}$ can be expressed in terms of the triplet Yukawa coupling constants and the mass of the ${W}_{2}$ gauge boson only. Using the data of inverse muon decays, and also the constraints on the masses of the ${\stackrel{\texttildelow{}}{\ensuremath{\delta}}}^{(\ensuremath{-})}$, ${\ensuremath{\Delta}}_{1,2}^{(\ensuremath{-})}$ and ${W}_{2}$ bosons the limits on ${m}_{{N}_{1,2}}$ are established in the cases both of the absence and the presence of the heavy neutrino masses (quasi)degeneration. The data on explanation of the $(g\ensuremath{-}2{)}_{\ensuremath{\mu}}$ anomaly is used for determination of the constraints on ${m}_{{N}_{1,2}}$ in the case of the masses (quasi)degeneration only. The suggested scheme for estimations of the heavy neutrino masses and mixing, based on the Higgs sector investigation, can be used for any gauge electroweak theory with an extended Higgs sector and the ``see-saw'' mechanism.