Neutrino Mass Textures and Partial $\mu$-$\tau$ Symmetry

Abstract

We discuss the viability of the $\mu$--$\tau$ interchange symmetry imposed on the neutrino mass matrix in the flavor space. Whereas the exact symmetry is shown to lead to textures of completely degenerate spectrum which is incompatible with the neutrino oscillation data, introducing small perturbations into the preceding textures, inserted in a minimal way, lead however to four deformed textures representing an approximate $\mu$--$\tau$ symmetry. We motivate the form of these `minimal' textures, which disentangle the effects of the perturbations, and present some concrete realizations assuming exact $\mu$--$\tau$ at the Lagrangian level but at the expense of adding new symmetries and matter fields. We find that all these deformed textures are capable to accommodate the experimental data, and in all types of neutrino mass hierarchies, in particular the non-vanishing value for the smallest mixing angle.

Latex, 43 pages, 12 figures, 5 tables. Concrete realizations of the perturbed textures in the context of type I and type II seesaw mechanisms are given. Version to appear in PRD

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Cited by in corpus (10)

• A review of mu-tau flavor symmetry in neutrino physics
• Implications of $\mu -\tau$ Flavored CP Symmetry of Leptons
• Phase broken $\mu -\tau$ symmetry and the neutrino mass hierarchy
• Neutrino mass matrices with one texture equality and one vanishing neutrino mass
• Texture of Single Vanishing Subtrace in Neutrino Mass Matrix
• Texture of One Equality in Neutrino Mass Matrix
• Fermion Masses and Mixing in General Warped Extra Dimensional Models
• Texture of Two Vanishing Subtraces in Neutrino Mass Matrix and Current Experimental Tests
• Neutrino Mixing and Leptogenesis in $\mu -\tau$ Symmetry
• Rotated $\mu$\,--\,$\tau$ Symmetry for One Generic Neutrino Mixing Angle: An analytical Study