Magic square and Dirac flavor neutrino mass matrix
High Energy Physics - Phenomenology
2020-12-02 v2
Abstract
The magic texture is one of the successful textures of the flavor neutrino mass matrix for the Majorana type neutrinos. The name "magic" is inspired by the nature of the magic square. We estimate the compatibility of the magic square with the Dirac, instead of the Majorana, flavor neutrino mass matrix. It turned out that some parts of the nature of the magic square are appeared approximately in the Dirac flavor neutrino mass matrix and the magic squares prefer the normal mass ordering rather than the inverted mass ordering for the Dirac neutrinos.
Keywords
Cite
@article{arxiv.2007.13254,
title = {Magic square and Dirac flavor neutrino mass matrix},
author = {Yuta Hyodo and Teruyuki Kitabayashi},
journal= {arXiv preprint arXiv:2007.13254},
year = {2020}
}
Comments
23 pages, 6 figures. Accepted for publication in International Journal of Modern Physics A