Nearest-neighbour interaction from an Abelian symmetry and deviations from Hermiticity

Branco, G.C.; Emmanuel-Costa, David; Simoes, C.

doi:10.1016/j.physletb.2010.05.009

Cited by 43 publications

(53 citation statements)

References 53 publications

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“…The agreement of our model with the experimental data is as good as in the models of Refs. [15,16,46,69,73,92,94] and better than, for example, those in Refs. [52,114,114,[124][125][126][127][128][129].…”

Section: Quark Masses and Mixingsmentioning

confidence: 64%

Novel Randall-Sundrum model withS3flavor symmetry

2016

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We propose a simple and predictive model of fermion masses and mixing in a warped extra dimension, with the smallest discrete non-Abelian group S3 and the discrete symmetries Z2 ⊗ Z4. Standard Model fields propagate in the bulk and the mass hierarchies and mixing angles are accounted for the fermion zero modes localization profiles, similarly to the the Randall-Sundrum (RS) model. To the best of our knowledge, this model is the first implementation of an S3 flavor symmetry in this type of warped extra dimension framework. Our model successfully describes the fermion masses and mixing pattern and is consistent with the current low energy fermion flavor data. The discrete flavor symmetry in our model leads to predictive mixing inspired textures, where the Cabbibo mixing arises from the down type quark sector whereas up type quark sector contributes to the remaining mixing angles.

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Section: Quark Masses and Mixingsmentioning

confidence: 64%

Novel Randall-Sundrum model withS3flavor symmetry

2016

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“…(10) and (11) for all entries and solving for the charges of the Higgs doubletsΦ u ij , Φ d ij , we find that at least two Higgs doublets are requiredΦ 1 andΦ 2 with charges φ 1 and φ 2 respectively (see details in Ref. [3]). The quark field charges are then given by the following assignment,…”

Section: Nni From a Discrete Flavour Symmetrymentioning

confidence: 92%

“…Such Ansatz combine the Nearest-Neighbour Interaction (NNI) [2] form with the Hermiticity condition. The NNI structure, where entries (1, 1), (1,3), (2,2) and (3,1) vanish, can always be achieved for quark mass matrices M u , M d in the SM [2] through a weak basis transformation. However, it is no longer true in other contexts as is the case of two-Higgs doublet model.…”

Section: Introductionmentioning

confidence: 99%

“…However, it is no longer true in other contexts as is the case of two-Higgs doublet model. One can find many works in literature where a symmetry leads to the NNI structure, for example [6,7] or [3] where a Z 4 flavour symmetry was implemented in the context of two Higgs doublets. Some of those models are based on Grand Unification Theories (GUT), which are very appealing to implement flavour symmetries once the SM fermions are unified in large multiplets.…”

Section: Introductionmentioning

confidence: 99%

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Nearest Neighbour Interactions and Symmetries

Simoes¹

2011

J. Phys.: Conf. Ser.

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Abstract. We study the minimal possible deviations from the Hermitic Nearest-Neighbour Interations (NNI) texture in the quark sector such that it is possible to accommodate the actual experimental data. We also show that the NNI structure can be obtained through the implementation of an Abelian discrete flavour symmetry at the Lagrangian level, where the minimal realisation is Z4, requiring at least the presence of two Higgs doublets. Finally, we explore the consequences on the leptonic sector of this Z4 flavour symmetry, in the context of SU (5) Grand Unification with the standard fermionic content plus three right-handed neutrinos and two Higgs quintets.

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“…This approach seems to work out correctly because the Cabbibo angle is obtained with great accuracy [2]. However, this framework presents some problems with the top mass and the V cb element of the CKM matrix [4,5], as can be seen in [6,7]. Recently, deviations to the Fritzsch textures have appeared in order to overcome these problems.…”

Section: Introductionmentioning

confidence: 99%

$$Q_{6}$$ Q 6 as the flavor symmetry in a non-minimal SUSY $$SU(5)$$ S U ( 5 ) model

2015

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We present a non-minimal renormalizable SUSY SU (5) model, with extended Higgs sector and right-handed neutrinos, where the flavor sector exhibits a Q 6 flavor symmetry. We analyzed the simplest version of this model, in which R-parity is conserved and the right-handed neutrino masses in the flavor doublet are considered with and without degeneracy. We find the generic form of the mass matrices both in the quark and lepton sectors. We reproduce, according to current data, the mixing in the CKM matrix. In the leptonic sector, in the general case where the right-handed neutrino masses are not degenerate, we find that the values for the solar, atmospheric, and reactor mixing angles are in very good agreement with the experimental data, both for a normal and an inverted hierarchy. In the particular case where the right-handed neutrinos masses are degenerate, the model predicts a strong inverted hierarchy spectrum and a sum rule among the neutrino masses. In this case the atmospheric and solar angles are in very good agreement with experimental data, and the reactor one is different from zero, albeit too small (θ th 13 ∼ 3.38 • ). This value constitutes a lower bound for θ 13 in the general case. We also find the range of the values for the neutrino masses in each case.

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Nearest-neighbour interaction from an Abelian symmetry and deviations from Hermiticity

Cited by 43 publications

References 53 publications

Novel Randall-Sundrum model withS3flavor symmetry

Novel Randall-Sundrum model withS3flavor symmetry

Nearest Neighbour Interactions and Symmetries

$$Q_{6}$$ Q 6 as the flavor symmetry in a non-minimal SUSY $$SU(5)$$ S U ( 5 ) model

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