Neutrino Mixing based on Mass Matrices with a $2\leftrightarrow 3$ Symmetry

Abstract

Under the assumption that the $2\leftrightarrow 3$ symmetry is broken only through phases, we give a systematical investigation of possible lepton mass matrix forms without referring to the explicit parameter values. The two types of the $2\leftrightarrow 3$ symmetry are investigated: one is that the left- and right-handed fields $(f_L,f_R)$ obey the symmetry, and another one is that only $f_L$ obeys the symmetry. In latter case, in spite of no $2\leftrightarrow 3$ symmetry in the Majorana mass matrix $M_R$ for ${\nu }_R$, the neutrino seesaw mass matrix still obey the $2\leftrightarrow 3$ symmetry. Possible phenomenologies are discussed.

arXiv comment12 pages, title and conclusions modified

References in corpus (18)

• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Electron Energy Spectra, Fluxes, and Day-Night Asymmetries of ${}^8$B Solar Neutrinos from the 391-Day Salt Phase SNO Data Set
• Observation of muon neutrino disappearance with the MINOS detectors and the NuMI neutrino beam
• A 2-3 Symmetry in Neutrino Oscillations
• Bimaximal Neutrino Mixing and Neutrino Mass Matrix
• Three flavor neutrino oscillation analysis of atmospheric neutrinos in Super-Kamiokande
• Universal Texture of Quark and Lepton Mass Matrices with an Extended Flavor $2\leftrightarrow 3$ Symmetry
• The solar LMA neutrino oscillation solution in the Zee model
• Non-vanishing $U_{e3}$ and $\cos 2{\theta }_{23}$ from a broken $Z_2$ symmetry
• Theta-13 as a Probe of Mu-Tau symmetry for Leptons
• How Far Can the SO(10) Two Higgs Model Describe the Observed Neutrino Masses and Mixings ?
• Universal Texture of Quark and Lepton Mass Matrices and a Discrete Symmetry Z_3
• SO(10) GUT and Quark-Lepton Mass Matrices
• Grand unification of $\mu -\tau$ Symmetry
• Fermion masses and mixings in a renormalizable SO(10) x Z_2 GUT
• Assignments of Universal Texture Components for Quark and Lepton Mass Matrices
• What Happens If an Unbroken Flavor Symmetry Exists?
• The current problems of the minimal SO(10) GUT and their solutions

Cited by in corpus (16)

• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Generating ${\theta }_{13}$ from sterile neutrinos in $\mu -\tau$ symmetric models
• Left-right symmetric model with $\mu \leftrightarrow \tau$ symmetry
• Leptonic CP phases near the $\mu -\tau$ symmetric limit
• Normal versus inverted hierarchical models within $\mu -\tau$ symmetry
• The Possible Textures in the Seesaw Realization of the Strong Scaling Ansatz and the Implications for Thermal Leptogenesis
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Restricting Majorana phases in the Tri-Bi-Maximal limit
• Thermal and non-thermal leptogenesis in different neutrino mass models with tribimaximal mixings
• Degenerate neutrino mass models revisited
• Dirac neutrino mixings from hidden $\mu -\tau$ symmetry
• How can CP violation in the neutrino sector be large in a $2\leftrightarrow 3$ symmetric model?
• Small ${\theta }_{13}$ and solar neutrino oscillation parameters from $\mu -\tau$ symmetry
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry
• Flavour leptogenesis with tribimaximal mixings and beyond