Dirac neutrino mixings from hidden $\mu -\tau$ symmetry

Abstract

We explore masses and mixings for Dirac neutrinos in models where lepton number is conserved, under the guidance of a hidden, but broken, $\mu -\tau$ exchange symmetry, that makes itself evident in the squared hermitian mass matrix. We study the parameter space in the most general theory as allowed by current neutrino oscillation experiment data. By using a general parameterization of the mass matrix which contains only observable parameters we stablish that the amount of breaking of the symmetry is in the range of the atmospheric mass scale, without regard to the neutrino hierarchy, the absolute neutrino mass and the Dirac CP phase. An estimate of the invisible branching ratio for a Higgs boson decaying into Dirac neutrinos, $H\to \nu \overline{\nu }$ , is given and compared to recent measurements in this context.

Some references added

References in corpus (16)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Big-Bang Nucleosynthesis
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• A review of mu-tau flavor symmetry in neutrino physics
• 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
• Leptonic CP phases near the $\mu -\tau$ symmetric limit
• An SU(3) symmetry for light neutrinos
• Sterile Neutrinos and B-L Symmetry
• Reactor and Atmospheric Neutrino Mixing Angles' Correlation as a Probe for New Physics
• Review: Long-baseline oscillation experiments as a tool to probe High Energy Models

Cited by in corpus (2)

• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Small ${\theta }_{13}$ and solar neutrino oscillation parameters from $\mu -\tau$ symmetry