Magic Neutrino Mass Matrix and the Bjorken-Harrison-Scott Parameterization

Abstract

Observed neutrino mixing can be described by a tribimaximal MNS matrix. The resulting neutrino mass matrix in the basis of a diagonal charged lepton mass matrix is both 2-3 symmetric and magic. By a magic matrix, I mean one whose row sums and column sums are all identical. I study what happens if 2-3 symmetry is broken but the magic symmetry is kept intact. In that case, the mixing matrix is parameterized by a single complex parameter $U_{e3}$, in a form discussed recently by Bjorken, Harrison, and Scott.

Two references added. To appear in Physics Letters B

References in corpus (9)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• A 2-3 Symmetry in Neutrino Oscillations
• A Redetermination of the Neutrino Mass-Squared Difference in Tri-Maximal Mixing with Terrestrial Matter Effects
• The Simplest Neutrino Mass Matrix
• The All-Purpose Neutrino Mass Matrix
• Theta-13 as a Probe of Mu-Tau symmetry for Leptons
• S3 x Z2 model for neutrino mass matrices

Cited by in corpus (37)

• Flavor structures of charged fermions and massive neutrinos
• The Horizontal Symmetry for Neutrino Mixing
• Symmetry of Lepton Mixing
• Mass Independent Textures and Symmetry
• Finite Symmetry of Leptonic Mass Matrices
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Group Theory and Dynamics of Neutrino Mixing
• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• The symmetry approach to quark and lepton masses and mixing
• Zeros in the magic neutrino mass matrix
• Broken $S_3$ Symmetry in the Neutrino Mass Matrix
• Trimaximal mixing with a texture zero
• Unitarity constraints on trimaximal mixing
• Two simple textures of the magic neutrino mass matrix
• Horizontal Symmetries $\Delta (150)$ and $\Delta (600)$
• Magic neutrino mass model with broken $\mu -\tau$ symmetry and Leptogenesis
• A Built-in Horizontal Symmetry of $SO(10)$
• Broken $S_3$ Neutrinos
• Plaquette Invariants and the Flavour Symmetric Description of Quark and Neutrino Mixings
• Generalized Friedberg-Lee model for neutrino masses and leptonic CP violation from mu-tau symmetry breaking
• Phenomenology of two texture zero neutrino mass in left-right symmetric model with $Z_8\times Z_2$
• Magic square and Dirac flavor neutrino mass matrix
• Trimaximal Mixing and Extended Magic Symmetry in a Model of Neutrino Mass Matrix
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• A Possible Hermitian Neutrino Mixing Ansatz
• Two-zero textures based on $A_4$ symmetry and unimodular mixing matrix
• Phenomenology of Trimaximal mixing with one texture equality
• Magic square and three-zero textures for Dirac neutrinos
• Generating CP violation from a modified Fridberg-Lee model
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• The special Two zeros texture based on $A_4$ symmetry and perturbation method
• Is magic texture for Majorana neutrino immanent in Dirac nature?
• A general formula by $LD{L}^T$ decomposition for the type-I seesaw mechanism
• Chiral perturbative analysis for an almost massless neutrino in the type-I seesaw mechanism
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture
• Approximate magic symmetry in a cobimaximal scenario of Majorana neutrinos