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arXiv · 0706.4373

Neutrino Mixing based on Mass Matrices with a $2 \leftrightarrow 3$ Symmetry

Yoshio Koide·Eiichi Takasugi
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Abstract

Under the assumption that the $2\leftrightarrow 3$ symmetry is broken only through phases, we give a systematical investigation of possible lepton mass matrix forms without referring to the explicit parameter values. The two types of the $2\leftrightarrow 3$ symmetry are investigated: one is that the left- and right-handed fields $(f_L, f_R)$ obey the symmetry, and another one is that only $f_L$ obeys the symmetry. In latter case, in spite of no $2\leftrightarrow 3$ symmetry in the Majorana mass matrix $M_R$ for $ν_R$, the neutrino seesaw mass matrix still obey the $2\leftrightarrow 3$ symmetry. Possible phenomenologies are discussed.

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Yoshio Koide, Eiichi Takasugi. 2007-10-19. Neutrino Mixing based on Mass Matrices with a $2 \leftrightarrow 3$ Symmetry. https://doi.org/10.1103/physrevd.77.016006

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