Simple A4 models for dark matter stability with texture zeros

Abstract

In a simple framework which naturally incorporates dark matter stability and neutrino phenomenology, we compute all the possible texture zeros which arise when the non-abelian flavor symmetry A4 is spontaneously broken to Z2. As a result, we obtain four textures with two vanishing matrix elements. Two of such textures predict a zero contribution to the neutrinoless double beta decay effective mass parameter at tree level, and as a one loop bound we get $m_{ee}<8\times 10^{-2}$ meV. These are compatible with the normal ordering for the neutrino masses and the allowed range for the lightest neutrino mass is between $m_{{\nu }_{min}}\sim 3$ meV and $m_{{\nu }_{max}}\sim 8$ meV. Additionally we obtain dark matter stability linked to the way the flavor symmetry is broken, leaving a residual Z2 symmetry

arXiv comment5 pages, 1 figure. Minor corrections, some references added, version to match the journal version

References in corpus (33)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Bi-Maximal Mixing of Three Neutrinos
• Zeroes of the Neutrino Mass Matrix
• Texture Zeros and Majorana Phases of the Neutrino Mass Matrix
• Symmetry realization of texture zeros
• Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
• The golden ratio prediction for the solar neutrino mixing
• The Elements of the Neutrino Mass Matrix: Allowed Ranges and Implications of Texture Zeros
• Correlated Hierarchy, Dirac Masses and Large Mixing Angles
• Discrete dark matter
• See-Saw Realization of the Texture Zeros in the Neutrino Mass Matrix
• Predictive flavour symmetries of the neutrino mass matrix
• A Full Determination of the Neutrino Mass Spectrum from Two-zero Textures of the 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
• Two-zero Majorana textures in the light of the Planck results
• Update on two-zero textures of the Majorana neutrino mass matrix in light of recent T2K, Super-Kamiokande and NO$\nu$A results
• Near Maximal Atmospheric Neutrino Mixing in Neutrino Mass Models with Two Texture Zeros
• Majorana Mass Zeroes from Triplet VEV without Majoron Problem
• Zeros in the magic neutrino mass matrix
• Fitting flavour symmetries: the case of two-zero neutrino mass textures
• Texture and Cofactor Zeros of the Neutrino Mass Matrix
• Formulae for flavour neutrino masses and its application to texture two zeros
• Neutrino Mass Matrices with Two Vanishing Elements/Cofactors
• Maximal Zero Textures in Linear and Inverse Seesaw
• SeeSaw scale discrete dark matter and two-zero texture Majorana neutrino mass matrices
• Phenomenology of two texture zero neutrino mass in left-right symmetric model with $Z_8\times Z_2$

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• Neutrino Phenomenology and Dark matter in an $A_4$ flavour extended B-L model
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