Magic square and three-zero textures for Dirac neutrinos

Abstract

We show a matrix decomposition of flavor mass matrix for Dirac neutrinos $M$ by sum as $M=M^{\prime }+M^0$ where $M^{\prime }$ obeys the feature of the magic square and $M^0$ is three-zero texture. The favorable three-zero textures in the context of magic square are explored. It turned out that so-called the normal ordering of neutrino masses is favored over the inverted ordering in the context of magic square.

16 pages, 1 figure. Accepted for publication in International Journal of Modern Physics A

References in corpus (15)

• Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries
• Phenomenology of Two-Texture Zero Neutrino Mass Matrices
• Improved constraints on neutrino mixing from the T2K experiment with $3.13\times 10^{21}$ protons on target
• A complete survey of texture zeros in the lepton mass matrices
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• Multiple seesaw mechanisms of neutrino masses at the TeV scale
• Magic Neutrino Mass Matrix and the Bjorken-Harrison-Scott Parameterization
• Abelian realization of phenomenological two-zero neutrino textures
• Near Maximal Atmospheric Neutrino Mixing in Neutrino Mass Models with Two Texture Zeros
• Confronting predictive texture zeros in lepton mass matrices with current data
• A Supersymmetric Contribution to the Neutrino Mass Matrix and Breaking of mu-tau Symmetry
• Remark on the minimal seesaw model and leptogenesis with tri/bi-maximal mixing
• Two simple textures of the magic neutrino mass matrix
• A Kind of Magic
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model