Broken SU(3) Flavor Symmetry and Tribimaximal Neutrino Mixing

2007/07/06 by Yoshio Koide, Koide, Yoshio · 1 citation
Physics and Astronomy · #Particle physics theoretical and experimental studies #Neutrino Physics Research #Astrophysics and Cosmic Phenomena

paper · pdf · doi:10.48550/arxiv.0707.0899

Abstract

Recent work on a lepton mass matrix model based on an SU(3) flavor symmetry which is broken into S₄ is reviewed. The flavor structures of the masses and mixing are caused by VEVs of SU(2)_L-singlet scalars ϕwhich are nonets (\bf 8+\bf 1) of the SU(3) flavor symmetry, and which are broken into \bf 2+\bf 3+\bf 3' and \bf 1 of S₄. If we require the invariance under the transformation (ϕ⁽⁸⁾,ϕ⁽¹⁾) → (-ϕ⁽⁸⁾,+ϕ⁽¹⁾) for the superpotential of the nonet field ϕ⁽⁸⁺¹⁾, the model leads to a beautiful relation for the charged lepton masses. The observed tribimaximal neutrino mixing is understood by assuming two SU(3) singlet right-handed neutrinos ν_R^(±) and an SU(3) triplet scalar χ.

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