Unitarity constraints on trimaximal mixing

Abstract

When the neutrino mass eigenstate ${\nu }_2$ is trimaximally mixed, the mixing matrix is called trimaximal. The middle column of trimaximal mixing matrix is identical to tri-bimaximal mixing and the other two columns are subject to unitarity constraints. This corresponds to a mixing matrix with four independent parameters in the most general case. Apart from the two Majorana phases, the mixing matrix has only one free parameter in the CP conserving limit. Trimaximality results into interesting interplay between mixing angles and CP violation. A notion of maximal CP violation naturally emerges here: CP violation is maximal for maximal 2-3 mixing. Similarly, there is a natural constraint on the deviation from maximal 2-3 mixing which takes its maximal value in the CP conserving limit.

15 pages, 10 figures, Physical Review D (to appear)

References in corpus (8)

• Symmetry of Lepton Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• A model for trimaximal lepton mixing
• Mass Independent Textures and Symmetry
• Rephasing Invariants of Quark and Lepton Mixing Matrices
• Magic Neutrino Mass Matrix and the Bjorken-Harrison-Scott Parameterization
• Trimaximal lepton mixing with a trivial Dirac phase

Cited by in corpus (15)

• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Zeros in the magic neutrino mass matrix
• Broken $S_3$ Symmetry in the Neutrino Mass Matrix
• Trimaximal mixing with a texture zero
• Symmetry based parameterizations of the lepton mixing matrix
• Implications of texture zeros for a variant of tribimaximal Mixing
• Deviations in Tribimaximal Mixing From Sterile Neutrino Sector
• Broken $S_3$ Neutrinos
• Deviation from Tribimaximal mixing using $A_4$ flavour model with five extra scalars
• Generalized Friedberg-Lee model for CP violation in neutrino physics
• Phenomenology of two texture zero neutrino mass in left-right symmetric model with $Z_8\times Z_2$
• Phenomenology of Trimaximal mixing with one texture equality
• A new texture of neutrino mass matrix with three constraints
• Phenomenological implications of two simple modifications to Tri-Bimaximal mixing
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles