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arXiv · 1311.2347

One-parameter Neutrino Mass Matrix and Symmetry Realization

Yuji Kajiyama·Akari Sato·Wakako Sato·Aya Suzuki
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Abstract

We investigate the Majorana neutrino mass matrix $M_ν$ with one parameter in the context of two texture zeros and its symmetry realization by non-Abelian discrete symmetry. From numerical calculation, we confirm that the textures $(M_ν)_{11,12}=0$ and $(M_ν)_{11,13}=0$ are consistent with the current experimental constraints, and show the correlations between non-zero elements of $M_ν$. The ratios of non-zero elements of $M_ν$ are constrain in small regions, and we find simple examples of $M_ν$ with one real mass parameter. We also discuss symmetry realization of the mass matrix by the type-II seesaw mechanism based on the binary icosahedral symmetry $A_5'$ .

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Yuji Kajiyama, Akari Sato, Wakako Sato, Aya Suzuki. 2013-11-11. One-parameter Neutrino Mass Matrix and Symmetry Realization. https://arxiv.org/abs/1311.2347

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