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.

arXiv comment16 pages, 1 figure. Accepted for publication in International Journal of Modern Physics A

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