Fermion mixing in an<i>S</i><sub>3</sub>model with three Higgs doublets

Canales, Felipe; Mondragón, Alfonso; Mondragón, M.; Salazar, U J Saldaña; Velasco-Sevilla, Liliana

doi:10.1088/1742-6596/447/1/012053

Cited by 11 publications

(11 citation statements)

References 21 publications

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“…The quark mass matrix, M q , has already been obtained by means of the S 3 flavor symmetry [54][55][56][57][58][59][60][65][66][67][68]. However, it is important to point out, as shown in [68], that this mass matrix possesses implicitly a kind of NNI textures, 1 but with one more free parameter than the canonical NNI ones [13][14][15][16], which only contain four.…”

Section: Quark Sector: Nni Texturesmentioning

confidence: 99%

B–L Model with $$\mathbf{S}_{3}$$ S 3 symmetry

Gómez-Izquierdo

Mondragón

2019

Eur. Phys. J. C

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We make a scalar extension of the B-L gauge model where the S 3 non-abelian discrete group drives mainly the Yukawa sector. Motived by the large and small hierarchies among the quark and active neutrino masses, respectively, the quark and lepton families are not treated on the same footing under the assignment of the discrete group. As a consequence, the nearest neighbor interaction (NNI) textures appear in the quark sector, leading to the CKM mixing matrix, whereas in the lepton sector, a soft breaking of the μ ↔ τ symmetry in the effective neutrino mass, which comes from type I seesaw mechanism, provides a non-maximal atmospheric angle and a non-zero reactor angle.

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Section: Quark Sector: Nni Texturesmentioning

confidence: 99%

B–L Model with $$\mathbf{S}_{3}$$ S 3 symmetry

Gómez-Izquierdo

Mondragón

2019

Eur. Phys. J. C

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“…However, it is well known that an effective way to reduce the number of parameters in a mass matrix is to perform a similarity transformation, through which it is possible to go to a basis where the matrix will have some texture zeros [56]. Then, in complete analogy with the work done on the S 3 -flavor symmetry [50,[57][58][59] and due to the form of M ν , we can rotate the left-handed neutrino field as follows: ν L = U ννL , where U ν = u θ u ν so that for a normal (inverted) hierarchy in the neutrino masses one gets: 1…”

Section: Susy Su(5) ⊗ Q 6 Modelmentioning

confidence: 99%

“…(13), has one texture zero, so it has ten real effective free parameters. But, as we will show later on, when we relate m ν with a matrix with two texture zeros of class I [50,[57][58][59][60], the number of real effective free parameters is reduced to only four.…”

Section: Susy Su(5) ⊗ Q 6 Modelmentioning

confidence: 99%

“…However, this value of the reactor mixing angle is small compared to the central value from the global fits [70], and it would correspond to a lower bound. Now, in order to reproduce the current numerical values of the reactor angle reported by global fits, we break the degeneracy of the first two right-handed neutrinos, namely (57) where S 2,ex(th) i j ≡ sin 2 θ i j with i, j = 1, 2, 3. The terms with superscript th are the theoretical expressions obtained from Eq.…”

Section: The Masses Of Right-handed Neutrinos Without Degenerationmentioning

confidence: 99%

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$$Q_{6}$$ 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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“…To our knowledge, not so many attempts have been ventured in this direction, so far. Only one article concerning such a model (with 3 Higgs doublets) has been found in the literature [3]. This fact motivated us to investigate the model with two Higgs doublets with a lot of possible choices for group G F [4].…”

Section: Introductionmentioning

confidence: 99%

The discrete family symmetry as a possible solution to the flavour problem

Dziewit,

Holeczek,

Richter

et al. 2016

Preprint

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In order to explain the fermions' masses and mixing parameters appearing in the lepton sector of the Standard Model, one proposes the extension of its symmetry. A discrete, non-abelian subgroup of U (3) is added to the gauge groupApart from that, one assumes the existence of one extra Higgs doublet. This article focuses mainly on the mathematical theorems and computational techniques which brought us to the results.

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Fermion mixing in anS₃model with three Higgs doublets

Cited by 11 publications

References 21 publications

B–L Model with $$\mathbf{S}_{3}$$ S 3 symmetry

B–L Model with $$\mathbf{S}_{3}$$ S 3 symmetry

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

The discrete family symmetry as a possible solution to the flavour problem

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Fermion mixing in anS3model with three Higgs doublets

Cited by 11 publications

References 21 publications

B–L Model with $$\mathbf{S}_{3}$$ S 3 symmetry

B–L Model with $$\mathbf{S}_{3}$$ S 3 symmetry

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

The discrete family symmetry as a possible solution to the flavour problem

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Fermion mixing in anS₃model with three Higgs doublets