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Neutrino Mixing and the Double Tetrahedral Group

2011/01/10 by Yoni BenTov, BenTov, Yoni, A. Zee +1
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.48550/arxiv.1101.1987

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

openalex publication_date 2011/01/10 · arxiv created 2011/03/07 · arxiv updated 2011/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the spirit of a previous study of the tetrahedral group T ≃ A4, 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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