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S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing · Around

2007

S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing

Koide, Yoshio

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Based on an assumption that an S_4 flavor symmetry is embedded into SU(3), a lepton mass matrix model is investigated.

A Frogatt-Nielsen type model is assumed, and the flavor structures of the masses and mixing are caused by VEVs of SU(2)_L-singlet scalars \phi_u and \phi_d which are nonets (8+1) of the SU(3) flavor symmetry, and which are broken into 2+3+3' and 1 of S_4.
If we require the invariance under the transformation (\phi^{(8)},\phi^{(1)}) \to (-\phi^{(8)},+\phi^{(1)}) for the superpotential of the nonet field \phi^{(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 \nu_R^{(\pm)} and an SU(3) triplet scalar \chi.

Built on

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1979
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C. Froggatt and H. B. Nielsen, Nucl. Phys. B147
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Y. Koide, Lett. Nuovo Cimento 34
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Y. Koide and H. Fusaoka, Z. Phys. C71
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Similar

Y. Koide and M. Tanimoto, Z. Phys. C72
1996
Cited alongside, same era.
Y. Koide, Phys. Rev. D60
1999
Cited alongside, same era.
Y. Koide, Phys. Rev. D73
1999
Cited alongside, same era.
S. Pakvasa and H. Sugawara, Phys. Lett. B82
2003
Cited alongside, same era.
Y. Koide, arXiv: hep-ph/0701018
Cited in the paper.
E. Ma, arXive: hep-ph/0612022
Cited in the paper.

Then

B. Aharmim et al
2005
Later among the works it cites.
Particle Data Group, J. Phys. G: Nucl. Phys. 33
2006
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C. Hagedorn, M. Linder and R. N. Mohapatra, JHEP, 0606
2006
Later among the works it cites.
D. G. Michael et al
2006
Later among the works it cites.

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