Neutrino Mixing and the Double Tetrahedral Group

Details Neutrino Mixing and the Double Tetrahedral Group Neutrino Mixing and the Double Tetrahedral Group

2011-01-10

arxiv.org/abs/1101.1987v4

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages. v2: Added references. v3: Fixed factor of 1/2 for Majorana mass term. Conclusions unaffected. v4: Some clarification

Scientific paper

In the spirit of a previous study of the tetrahedral group $T \simeq A_4$, we discuss a minimalist scheme to derive the neutrino mixing matrix using the double tetrahedral group $T'$, the double cover of $T$. The new features are three distinct 2-dimensional representations and complex Clebsch-Gordan coefficients, which can result in a geometric source of CP violation in the neutrino mass matrix. In an appendix, we derive explicitly the relevant group theory for the tetrahedral group $T$ and its double cover $T'$.

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