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Group Theoretic Bases for Tribimaximal Mixing

2007/01/04 by Paul D. Carr, Carr, Paul D., Paul H. Frampton +1 · 1 citation
Engineering · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Neutrino Physics Research #Particle accelerators and beam dynamics

paper · pdf · doi:10.48550/arxiv.hep-ph/0701034

openalex publication_date 2007/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ≤ 31 reveals that tribimaximal mixing can be derived not only from the well known flavor symmetry T ≡ A4, the tetrahedral group, but also by using the alternative flavor symmetry X(24) ≡ SL2(F3) ≡ Q4 × Z3. 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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