On a model with two zeros in the neutrino mass matrix

Abstract

We consider a Majorana neutrino mass matrix ${\mathcal{M}}_{\nu }$ with $({\mathcal{M}}_{\nu }{)}_{\mu \mu }=({\mathcal{M}}_{\nu }{)}_{\tau \tau }=0$, in the basis where the charged-lepton mass matrix is diagonal. We show that this pattern for the lepton mass matrices can be enforced by extending the Standard Model with three scalar SU(2) triplets and by using a horizontal symmetry group $\mathbbm{Z}_4$. The Ma--Sarkar (type-II seesaw) mechanism leads to very small vacuum expectation values for the triplets, thus explaining the smallness of the neutrino masses; at the same time, that mechanism renders the physical scalars originating in the triplets very heavy. We show that the conditions $({\mathcal{M}}_{\nu }{)}_{\mu \mu }=({\mathcal{M}}_{\nu }{)}_{\tau \tau }=0$ allow both for a normal neutrino mass spectrum and for an inverted one. In the first case, the neutrino masses must be larger than $0.1eV$ and the atmospheric mixing angle ${\theta }_{23}$ must be practically equal to $45^{\circ }$. In the second case, the product $\sin {\theta }_{13}|\tan 2{\theta }_{23}|$ must be of order one or larger, thus correlating the large or maximal atmospheric neutrino mixing with the smallness of the mixing angle ${\theta }_{13}$.

13 pages, no figures, plain LaTeX; one equation added, published references updated, final version for J. Phys. G

References in corpus (4)

• Symmetry realization of texture zeros
• Zeros of the inverted neutrino mass matrix
• Quaternion Family Symmetry of Quarks and Leptons
• Neutrino Masses from Cosmological Probes

Cited by in corpus (49)

• Flavor structures of charged fermions and massive neutrinos
• Gauged L_mu - L_tau Symmetry at the Electroweak Scale
• Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
• Phenomenology of Two-Texture Zero Neutrino Mass Matrices
• A modular $A_4$ symmetry realization of two-zero textures of the Majorana neutrino mass matrix
• The reactor mixing angle and CP violation with two texture zeros in the light of T2K
• A complete survey of texture zeros in the lepton mass matrices
• Generalized Tri-bimaximal Neutrino Mixing and Its Sensitivity to Radiative Corrections
• Phenomenological Implications of a Class of Neutrino Mass Matrices
• Two-zero Majorana textures in the light of the Planck results
• Abelian realization of phenomenological two-zero neutrino textures
• Zero Textures of the Neutrino Mass Matrix from Cyclic Family Symmetry
• Fritzsch neutrino mass matrix from S3 symmetry
• Hybrid Textures of Majorana Neutrino Mass Matrix and Current Experimental Tests
• Near Maximal Atmospheric Neutrino Mixing in Neutrino Mass Models with Two Texture Zeros
• Fitting flavour symmetries: the case of two-zero neutrino mass textures
• Formulae for flavour neutrino masses and its application to texture two zeros
• Maximal atmospheric neutrino mixing from texture zeros and quasi-degenerate neutrino masses
• Tribimaximal mixing in neutrino mass matrices with texture zeros or vanishing minors
• A three-parameter model for the neutrino mass matrix
• Scotogenic dark matter and single-zero textures of the neutrino mass matrix
• Hybrid Textures of the Right-Handed Majorana Neutrino Mass Matrix
• Doubly charged scalar decays in a type II seesaw scenario with two Higgs triplets
• Probing Majorana Neutrino Textures at DUNE
• Discriminating Majorana Neutrino Textures in the light of Baryon Asymmetry
• Constraints on Flavor Neutrino Masses and sin^2(2theta_{12})>>sin^2(theta_{13}) in Neutrino Oscillations
• Hybrid Textures of Neutrino Mass Matrix under the Lamppost of Latest Neutrino and Cosmology Data
• CP Violation in Two Zero Texture Neutrino Mass Matrices
• Testing Texture Two Zero Neutrino Mass Matrices Under Current Experimental Scenario
• Analysis of four-zero textures in $3+1$ framework
• One-loop radiative seesaw dark matter and neutrinoless double beta decay with two zero flavor neutrino mass texture
• Distinctive Collider Signals for a Two Higgs Triplet Model
• Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme
• Parametrization of the Yukawa matrix in the scotogenic model and single-zero textures of the neutrino mass matrix
• Texture zeros flavor neutrino mass matrix and triplet Higgs models
• Predicting leptonic CP violation in the light of Daya Bay result
• Heptagonic Symmetry for Quarks and Leptons
• Magic square and Dirac flavor neutrino mass matrix
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• A CP-violating phase in a two Higgs triplet scenario : some phenomenological implications
• Majorana neutrino textures from numerical considerations: the CP conserving case
• New texture-zero models for lepton mixing
• Scalar Triplet Leptogenesis with a CP violating phase
• Implications of the Dark-LMA solution for neutrino mass matrices
• Minimal lepton flavour structures lead to non-maximal 2-3 mixing
• Magic square and three-zero textures for Dirac neutrinos
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• Is magic texture for Majorana neutrino immanent in Dirac nature?
• Investigating two-zero texture in the light of gauged Type-II seesaw