Research PaperNo Access

Magic square and three-zero textures for Dirac neutrinos

Ryota Minamizawa

Graduate School of Science, Tokai University, 4-1-1 Kitakaname, Hiratsuka, Kanagawa 259-1292, Japan

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Yuta Hyodo

Graduate School of Science and Technology, Tokai University, 4-1-1 Kitakaname, Hiratsuka, Kanagawa 259-1292, Japan

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, and

Teruyuki Kitabayashi

https://orcid.org/0000-0002-0380-3162

Department of Physics, Tokai University, 4-1-1 Kitakaname, Hiratsuka, Kanagawa 259-1292, Japan

E-mail Address: teruyuki@tokai-u.jp

Corresponding author.

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https://doi.org/10.1142/S0217751X22501913Cited by:2 (Source: Crossref)

Abstract

We show a matrix decomposition of flavor mass matrix for Dirac neutrinos $M$ by sum as $M = M^{'} + M^{0}$ where $M^{'}$ 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 the so-called normal ordering of neutrino masses is favored over the inverted ordering in the context of magic square.

Keywords:

PACS: 14.60.Pq

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