Non-zero ${\theta }_{13}$ with Unbroken $\mu -\tau$ Symmetry of the Active Neutrino Mass Matrix in the Presence of a Light Sterile Neutrino

Abstract

We revisit the possibility of generating non-zero reactor mixing angle in a scenario where there is a sterile neutrino at the eV scale apart from the usual three sub-eV scale active neutrinos. We show that the $3\times 3$ active neutrino mass matrix can possess a $\mu -\tau$ symmetry and can still be consistent with non-zero value of the reactor mixing angle ${\theta }_{13}$, if this $\mu -\tau$ symmetry is broken in the sterile neutrino sector. We first propose a simple model based on the discrete flavour symmetry $A_4\times Z_3\times Z_3^{\prime }$ to realise such a scenario and then numerically evaluate the complete $3+1$ neutrino parameter space that allows such a possibility. We show that, such a possibility of generating non-zero ${\theta }_{13}$ can in general, remain valid even if the present $3+1$ neutrino global fit data get ruled out by future experiments. We also discuss the possible implications at neutrinoless double beta decay $(0\nu \beta \beta )$ experiments in view of the latest results from KamLAND-Zen experiment.

30 pages, 8 figures, to appear in Phys. Rev. D

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Cited by in corpus (7)

• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme
• Deviations in Tribimaximal Mixing From Sterile Neutrino Sector
• $B-L$ model with $A_4\times Z_3\times Z_4$ symmetry for $3+1$ active$-$sterile neutrino mixing
• New mixing schemes for (3+1) neutrinos
• Lepton masses and mixings, and muon anomalous magnetic moment in an extended $B-L$ model with type I seesaw mechanism
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry