Neutrino Mixing and the Double Tetrahedral Group

Yoni BenTov; A. Zee

Neutrino Mixing and the Double Tetrahedral Group

High Energy Physics - Phenomenology 2011-03-08 v4

Authors: Yoni BenTov , A. Zee

Abstract

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 $T'$ .

Keywords

neutrino mixing double tetrahedral group CP violation Clebsch-Gordan coefficients flavor symmetry

Cite

@article{arxiv.1101.1987,
  title  = {Neutrino Mixing and the Double Tetrahedral Group},
  author = {Yoni BenTov and A. Zee},
  journal= {arXiv preprint arXiv:1101.1987},
  year   = {2011}
}

Comments

18 pages. v2: Added references. v3: Fixed factor of 1/2 for Majorana mass term. Conclusions unaffected. v4: Some clarifications, equation numbers, formatting changes. Conclusions unaffected

Neutrino Mixing and the Double Tetrahedral Group

Abstract

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