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.

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

References in corpus (13)

• The Reactor Antineutrino Anomaly
• Status of three-neutrino oscillation parameters, circa 2013
• Light Sterile Neutrinos: Models and Phenomenology
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• Grand unification of $\mu -\tau$ Symmetry
• Two Categories of Approximately mu-tau Symmetric Neutrino Mass Textures
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Neutrino Mixing based on Mass Matrices with a $2\leftrightarrow 3$ Symmetry
• Common origin of reactor and sterile neutrino mixing
• An SU(3) symmetry for light neutrinos

Cited by in corpus (20)

• Octant of ${\theta }_{23}$ in danger with a light sterile neutrino
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Non-Minimal Flavored ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ Left-Right Symmetric Model
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Compatibility of $A_4$ Flavour Symmetric Minimal Extended Seesaw with $(3+1)$ Neutrino Data
• On ${\mathbf{Q}}_6$ flavor symmetry and the breaking of $\mu \leftrightarrow \tau$ symmetry
• Non-zero ${\theta }_{13}$ with Unbroken $\mu -\tau$ Symmetry of the Active Neutrino Mass Matrix in the Presence of a Light Sterile Neutrino
• Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme
• $B-L$ model with $A_4\times Z_3\times Z_4$ symmetry for $3+1$ active$-$sterile neutrino mixing
• Deviations in Tribimaximal Mixing From Sterile Neutrino Sector
• Deviations to $\mu -\tau$ symmetry in a cobimaximal scenario
• Leptonic CP phases near the $\mu -\tau$ symmetric limit
• New mixing schemes for (3+1) neutrinos
• Consequences of $\mu$-$\tau$ reflection symmetry for $3+1$ neutrino mixing
• 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