Lepton masses, mixings, and flavor-changing neutral currents in a minimal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>S</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>-invariant extension of the standard model

Mondragón, Alfonso; Mondragón, Myriam; Peinado, E.

doi:10.1103/physrevd.76.076003

Cited by 105 publications

(71 citation statements)

References 66 publications

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“…(52) in the present paper, which leads to the results presented in the previous section [39][40][41][42][43].…”

Section: Neutrino Masses and Mixings When The Masses Of The Right-hansupporting

confidence: 64%

“…If we take for δt 12 the experimental central value δt 12 ≈ −0.04, we obtain |m ν 2 | ≈ 0.056 eV, |m ν 1 | ≈ 0.055 eV, and |m ν 3 | ≈ 0.022 eV [40]. When we take for δt 12 the tri-bimaximal value δt 12 = 0, the neutrino masses are m ν 1 = 0.0521 eV, m ν 2 = 0.0528 eV, and m ν 3 = 0.0178 eV.…”

Section: The Mixing Anglesmentioning

confidence: 99%

“…According to the Z 2 selection rule the mass matrix of the Dirac neutrinos takes the form [37,39,40]…”

Section: Neutrino Masses and Mixings With Two Degenerate Masses Of Thmentioning

confidence: 99%

“…In the case of the Minimal S 3 -Invariant Extension of the Standard Model [37][38][39][40][41][42][43], the concept of flavour and generations is extended to the Higgs sector in such a way that all the matter fields -Higgs, quarks, and lepton fields, including the right-handed neutrino fieldshave three species and transform under the flavour symmetry group as the three dimensional representation 1 ⊕ 2 of the permutational group S 3 . A model with more than one Higgs SU(2) doublet has tree level flavour changing neutral currents whose exchange may give rise to lepton flavour violating processes and may also contribute to the anomalous magnetic moment of the muon.…”

Section: Introductionmentioning

confidence: 99%

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The S₃ flavour symmetry: Neutrino masses and mixings

Canales

Mondragón

2012

Fortschritte der Physik

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In this work, we discuss the neutrino masses and mixings as the realization of an S 3 flavour permutational symmetry in two models, namely the Standard Model and an extension of the Standard Model with three Higgs doublets. In the S 3 Standard Model, mass matrices of the same generic form are obtained for the neutrinos and charged leptons when the S 3 flavour symmetry is broken sequentially according to the chain S 3L ⊗ S 3R ⊃ S diag 3 ⊃ S 2 . In the minimal S 3 -symmetric extension of the Standard Model, the S 3 symmetry is left unbroken, and the concept of flavour is extended to the Higgs sector by introducing in the theory three Higgs fields which are SU (2) doublets. In both models, the mass matrices of the neutrino and charged leptons are reparametrized in terms of their eigenvalues, and exact, explicit analytical expressions for the neutrino mixing angles as functions of the masses of neutrinos and charged leptons are obtained. In the case of the S 3 Standard Model, from a χ 2 fit of the theoretical expressions of the lepton mixing matrix to the values extracted from experiment, the numerical values of the neutrino mixing angles are obtained in excellent agreement with experimental data. In the S 3 extension of the Standard Model, if two of the right handed neutrinos masses are degenerate, the reactor and atmospheric mixing angles are determined by the masses of the charged leptons, yielding θ 23 in excellent agreement with experimental data, and θ 13 different from zero but very small. If the masses of the three right handed neutrinos are assumed to be different, then it is possible to get θ 13 also in very good agreement with experimental data. We also show the branching ratios of some selected flavour changing neutral currents (FCNC) process as well as the contribution of the exchange of a neutral flavour changing scalar to the anomaly of the magnetic moment of the muon.

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“…(52) in the present paper, which leads to the results presented in the previous section [39][40][41][42][43].…”

Section: Neutrino Masses and Mixings When The Masses Of The Right-hansupporting

confidence: 64%

Section: The Mixing Anglesmentioning

confidence: 99%

“…According to the Z 2 selection rule the mass matrix of the Dirac neutrinos takes the form [37,39,40]…”

Section: Neutrino Masses and Mixings With Two Degenerate Masses Of Thmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The S₃ flavour symmetry: Neutrino masses and mixings

Canales

Mondragón

2012

Fortschritte der Physik

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“…Note that the difference in the interpretations ofμ f 0 for the cases above, Eqs. (46,47) lies in the fact that for the case (i) there is no assumption on the value ofμ f 0 , but thenμ u 0 necessarily has to be less than 6σ mu , whileμ d 0 has necessarily to be less than 6σ …”

Section: Cases II and Iii (Three And Four Higgs Fields Respectively)mentioning

confidence: 99%

Quark sector ofS3models: Classification and comparison with experimental data

Canales

Mondragón

et al. 2013

Phys. Rev. D

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S 3 models offer a low energy approach to describe the observed pattern of masses and mixing, of both quarks and leptons. In this work, we first revisit an S 3 model with only one Higgs electroweak doublet, where the flavour symmetry must be broken in order to produce an acceptable pattern of masses and mixing for fermions. Then, we analyse different S 3 models, where the flavour symmetry is preserved as an exact, but hidden symmetry of the low energy spectra, after the electroweak symmetry breaking. The latter models require the addition of two more Higgs electroweak doublets which are accommodated in an S 3 doublet. We also explore the consequences of adding a fourth Higgs electroweak doublet, thus occupying all three irreducible representations of S 3 . We show how the various S 3 -invariant mass matrices of the different models can reproduce the two texture zeroes and Nearest Neighbour Interaction matrix forms, which have been found to provide a viable and universal treatment of mixing for both quarks and leptons. We also find analytical and exact expressions for the CKM matrix of the models in terms of quark mass ratios. Finally, we compare the expressions of the CKM matrix of the different S 3 models with the most up to date values of masses and mixing in the quark sector, via a χ 2 analysis. We find that the analytical expressions we derived reproduce remarkably well the most recent experimental data of the CKM matrix, suggesting that S 3 is a symmetry of the quark sector.

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Super flavorsymmetry with multiple Higgs doublets

Kubo

2012

Fortschritte der Physik

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The meaning of non-abelian super flavorsymmetry in the presence of Multiple Higgs Doublets is twofold: The first one is to order the Yukawa sector of the standard model, while generating the Cheng-Sher suppression of tree-level Flavor Changing Neutral Currents (FCNCs), and the second one is to soften the fine tuning problem in the scalar potential and at the same time to suppress FCNCs coming from the soft breaking of supersymmetry. If spontaneous CP violation is combined with non-abelian super flavorsymmetry the CP phases in the soft supersymmetry breaking sector can disappear. This feature of super flavorsymmetry is reviewed and elaborated in a supersymmetric model of flavor based on the finite group Q 6 . The predictions of the model in ferimion mass and mixing, and flavor and CP violation can be tested in future experiments.

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Lepton masses, mixings, and flavor-changing neutral currents in a minimalS3-invariant extension of the standard model

Cited by 105 publications

References 66 publications

The S₃ flavour symmetry: Neutrino masses and mixings

The S₃ flavour symmetry: Neutrino masses and mixings

Quark sector ofS3models: Classification and comparison with experimental data

Super flavorsymmetry with multiple Higgs doublets

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Lepton masses, mixings, and flavor-changing neutral currents in a minimalS3-invariant extension of the standard model

Cited by 105 publications

References 66 publications

The S3 flavour symmetry: Neutrino masses and mixings

The S3 flavour symmetry: Neutrino masses and mixings

Quark sector ofS3models: Classification and comparison with experimental data

Super flavorsymmetry with multiple Higgs doublets

Contact Info

Product

Resources

About

The S₃ flavour symmetry: Neutrino masses and mixings

The S₃ flavour symmetry: Neutrino masses and mixings