Abstract
We present a model of neutrino masses within the framework of the EW-ν R model in which the experimentally desired form of the PMNS matrix is obtained by applying an A 4 symmetry to the Higgs singlet sector responsible for the neutrino Dirac mass matrix. This mechanism naturally avoids potential conflict with the LHC data which severely constrains the Higgs sector, in particular the Higgs doublets. Moreover, by making a simple ansätz we extract $$ {\mathrm{\mathcal{M}}}_{\mathrm{l}}{{\mathrm{\mathcal{M}}}_{\mathrm{l}}}^{\dagger } $$ for the charged lepton sector. A similar ansätz is proposed for the quark sector. The sources of masses for the neutrinos are entirely different from those for the charged leptons and for the quarks and this might explain why U PMNS is very different from V CKM .
Highlights
Of which go beyond the Standard Model
We present a model of neutrino masses within the framework of the EWνR model in which the experimentally desired form of the PMNS matrix is obtained by applying an A4 symmetry to the Higgs singlet sector responsible for the neutrino Dirac mass matrix
We have presented in this manuscript a model of neutrino masses and mixings based on the discrete symmetry group A4 as applied to the electroweak(EW)-scale right-handed neutrino model of [11,12,13,14,15]
Summary
(which is not too different from the unit matrix) differs so much from the leptonic one, the so-called Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix [26]. Before discussing our approach based on A4, we would like to point out the main differences with the aforementioned scenarios: 1) The conjugate of the matrix as shown in eq (4.5) is the one that diagonalizes the neutrino Dirac mass matrix ; 2) Right-handed neutrinos belong to SU(2) doublets along with mirror charged leptons as espoused in [11,12,13,14,15] and are non-sterile. Their Majorana masses are proportional to the EW symmetry breaking scale. Notice that had the singlet Higgs fields belonged to 1, 1 , and 1 only, the neutrino Dirac mass matrix would be diagonal which is not a desired scenario
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