Mu-tau antisymmetry and neutrino mass matrices

Abstract

Using the seesaw mechanism and a discrete symmetry, we construct a class of models for the neutrino mass matrix where the inverse of that matrix is the sum of a mu-tau antisymmetric background and a perturbation. We consider various possibilities for that perturbation. The simplest possible perturbations lead to four-parameter neutrino mass matrices which are unable to fit the experimental data. More complicated perturbations give rise to viable six-parameter mass matrices; we present detailed predictions of each of them.

arXiv comment15 pages of text, 7 figures

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• Neutrino Mass, Dark Matter and Anomalous Magnetic Moment of Muon in a $U(1{)}_{L_{\mu }-L_{\tau }}$ Model
• mu-tau Interchange symmetry and lepton mixing
• Phased Breaking of mu-tau symmetry and Leptogenesis
• Fermion Masses and Mixings in a $\mu$-$\tau$ symmetric SO(10)
• Can four-zero-texture mass matrix model reproduce the observed quark and lepton mixing angles and CP violating phases?
• Universal 2-3 symmetry
• Soft breaking of $L_{\mu }-L_{\tau }$ symmetry: Light neutrino spectrum and Leptogenesis
• What Does mu-tau Symmetry Imply about Neutrino Mixings?
• Two Categories of Approximately mu-tau Symmetric Neutrino Mass Textures
• $\mu -\tau$ Symmetry and Radiatively Generated Leptogenesis
• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• Correlation between Leptonic CP Violation and mu-tau Symmetry Breaking
• Relating the neutrino mixing angles to a lepton mass hierarchy
• Hybrid Textures of the Right-Handed Majorana Neutrino Mass Matrix
• Neutrino masses and mixing in $A_5$ with flavour antisymmetry
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Quark-Lepton universality and large leptonic mixing
• Neutrino masses and mixing from flavour antisymmetry
• $(g-2{)}_{e,\mu }$ and strongly interacting dark matter with collider implications
• Texture of Single Vanishing Subtrace in Neutrino Mass Matrix
• Texture of One Equality in Neutrino Mass Matrix
• Diagonal reflection symmetries and universal four-zero texture
• A new texture of neutrino mass matrix with three constraints
• More models for lepton mixing with four constraints