Generating ${\theta }_{13}$ from sterile neutrinos in $\mu -\tau$ symmetric models

Abstract

The smallness of the ${\theta }_{13}$ mixing angle as observed in neutrino oscillation experiments can be understood through an approximated $\mu -\tau$ exchange symmetry in the neutrino mass matrix. Using recent oscillation neutrino data, but assuming no \textit{CP} violation, we study $\mu -\tau$ breaking parameter space to establish the conditions under which such a breaking could have a perturbative origin. According to the so-obtained conditions, we suggest that a sterile neutrino, matching LSND/MiniBooNE neutrino oscillation results, could provide the necessary ingredients to properly fix atmospheric and ${\theta }_{13}$ mixing angles to observable values, without exceeding the sterile neutrino fraction bound in solar oscillations. In such a scenario, we analyze the general effect of a fourth neutrino on the prediction for the effective $m_{ee}$ majorana mass parameter.

arXiv commentVersion accepted for publication in PRD, 19 pages, 5 figures, references added

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• Leptonic CP phases near the $\mu -\tau$ symmetric limit
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• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Lepton masses and mixings, and muon anomalous magnetic moment in an extended $B-L$ model with type I seesaw mechanism
• Restricting Majorana phases in the Tri-Bi-Maximal limit
• Dirac neutrino mixings from hidden $\mu -\tau$ symmetry
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry