Tri-bimaximal neutrino mixing and the family symmetry Z7 ⋊ Z3

Christoph Luhn; Salah Nasri; Pierre Ramond

doi:10.1016/j.physletb.2007.06.059

Tri-bimaximal neutrino mixing and the family symmetry Z₇ ⋊ Z₃

Christoph Luhn
, Salah Nasri
, Pierre Ramond

Research output: Contribution to journal › Article › peer-review

167 Citations (Scopus)

Abstract

The non-Abelian finite group PSL₂ (7) is the only simple subgroup of SU (3) with a complex three-dimensional irreducible representation. It has two maximal subgroups, S₄ which, along with its own A₄ subgroup, has been successfully applied in numerous models of flavor, as well as the 21 element Frobenius group Z₇ ⋊ Z₃, which has gained much less attention. We show that it can also be used to generate tri-bimaximal mixing in the neutrino sector, while allowing for quark and charged lepton hierarchies.

Original language	English
Pages (from-to)	27-33
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	652
Issue number	1
DOIs	https://doi.org/10.1016/j.physletb.2007.06.059
Publication status	Published - Aug 16 2007
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2007.06.059

Cite this

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abstract = "The non-Abelian finite group PSL2 (7) is the only simple subgroup of SU (3) with a complex three-dimensional irreducible representation. It has two maximal subgroups, S4 which, along with its own A4 subgroup, has been successfully applied in numerous models of flavor, as well as the 21 element Frobenius group Z7 ⋊ Z3, which has gained much less attention. We show that it can also be used to generate tri-bimaximal mixing in the neutrino sector, while allowing for quark and charged lepton hierarchies.",

author = "Christoph Luhn and Salah Nasri and Pierre Ramond",

note = "Funding Information: We are grateful for inspiring discussions with G.G. Ross. The work of one of the authors (C.L.) is supported by the University of Florida through the Institute for Fundamental Theory and that of two of the authors (S.N. and P.R.) is supported by the Department of Energy Grant No. DE-FG02-97ER41029. ",

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AU - Luhn, Christoph

AU - Nasri, Salah

AU - Ramond, Pierre

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Tri-bimaximal neutrino mixing and the family symmetry Z₇ ⋊ Z₃

Abstract

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