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2012

An $S_3$ Model for Lepton Mass Matrices with Nearly Minimal Texture

Dias, A. G., Machado, A. C. B., Nishi, C. C.

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We propose a simple extension of the electroweak standard model based on the discrete $S_3$ symmetry that is capable of realizing a nearly minimal Fritzsch-type texture for the Dirac mass matrices of both charged leptons and neutrinos.

This is achieved with the aid of additional $Z_5$ and $Z_3$ symmetries, one of which can be embedded in $U(1)_{B-L}$.
Five complex scalar singlet fields are introduced in addition to the SM with right-handed neutrinos.
Although more general, the modified texture of the model retains the successful features of the minimal texture without fine-tuning; namely, it accommodates the masses and mixing of the leptonic sector and relates the emergence of large leptonic mixing angles with the seesaw mechanism.

An $S_3$ Model for Lepton Mass Matrices with Nearly Minimal Texture · Around

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P. H. Frampton, S. L. Glashow and D. Marfatia, “Zeroes of the neutrino mass matrix,” Phys. Lett. B 536
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D. Meloni, S. Morisi and E. Peinado, “Predicting leptonic CP violation in the light of Daya Bay result on θ 13 \theta_{13} ,” arXiv:1203.2535 [hep-ph]; D. Meloni, S. Morisi and E. Peinado, “Fritzsch neutrino mass matrix from S 3 S_{3} symmetry,” J. Phys. G G 38
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Y. Koide, Phys. Rev. D 69

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M. Fukugita, Y. Shimizu, M. Tanimoto and T. T. Yanagida, “ θ 13 \theta_{13} in Neutrino Mass Matrix with the Minimal Texture,” arXiv:1204.2389 [hep-ph]

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If allow order 1 / Λ 2 1/\Lambda^{2} terms in ( 16

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Strictly speaking, we need to ensure that | Δ b 2 | |\Delta b^{2}| is not so large as to make either b b or b ′ b^{\prime} go to zero

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D. V. Forero, M. Tortola and J. W. F. Valle, “Global status of neutrino oscillation parameters after recent reactor measurements,” arXiv:1205.4018v3 [hep-ph]

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We thank the anonymous referee for pointing out the alignment problem

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