S3 symmetry and tri-bimaximal mixing

R. N. Mohapatra; S. Nasri; Hai Bo Yu

doi:10.1016/j.physletb.2006.06.032

S₃ symmetry and tri-bimaximal mixing

R. N. Mohapatra
, S. Nasri
, Hai Bo Yu

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

185 Citations (Scopus)

Abstract

The near maximal value for the atmospheric neutrino mixing angle together with the fact that the solar mixing angle satisfies the relation sin² θ_ȯ ≃ frac(1, 3) is the basis for the so-called tri-bimaximal mixing when θ₁₃ = 0. In this Letter, we explore the possibility that tri-bimaximal mixing is an indication of a softly broken higher leptonic symmetry S₃, the permutation of three lepton families that embeds the μ - τ exchange symmetry of leptons.

Original language	English
Pages (from-to)	318-321
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	639
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2006.06.032
Publication status	Published - Aug 10 2006
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2006.06.032

Cite this

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author = "Mohapatra, \{R. N.\} and S. Nasri and Yu, \{Hai Bo\}",

note = "Funding Information: This work is supported by the National Science Foundation grant No. Phy-0354401.",

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AU - Nasri, S.

AU - Yu, Hai Bo

N1 - Funding Information: This work is supported by the National Science Foundation grant No. Phy-0354401.

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AB - The near maximal value for the atmospheric neutrino mixing angle together with the fact that the solar mixing angle satisfies the relation sin2 θȯ ≃ frac(1, 3) is the basis for the so-called tri-bimaximal mixing when θ13 = 0. In this Letter, we explore the possibility that tri-bimaximal mixing is an indication of a softly broken higher leptonic symmetry S3, the permutation of three lepton families that embeds the μ - τ exchange symmetry of leptons.

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JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -

S₃ symmetry and tri-bimaximal mixing

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