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arXiv · hep-ph/0701034

Group Theoretic Bases for Tribimaximal Mixing

Paul D. Carr·Paul H. Frampton
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Abstract

Present data on neutrino masses and mixing favor the highly symmetric tribimaximal neutrino mixing matrix which suggests an underlying flavor symmetry. A systematic study of non-abelian finite groups of order $g \leq 31$ reveals that tribimaximal mixing can be derived not only from the well known flavor symmetry $T \equiv A_4$, the tetrahedral group, but also by using the alternative flavor symmetry X(24) $\equiv SL_2(F_3) \equiv Q_4 \tilde{\times} Z_3$. X(24) does not contain the tetrahedral group as a subgroup, and has the advantage over it as a flavor symmetry that it can not only underwrite bitrimaximal mixing for neutrinos, equally as well, but also provide a first step to understanding the quark mass hierarchy.

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Paul D. Carr, Paul H. Frampton. 2007-03-20. Group Theoretic Bases for Tribimaximal Mixing. https://arxiv.org/abs/hep-ph/0701034

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