Lepton and quark mass matrices

Nishiura, Hiroyuki; Matsuda, Koichi; Fukuyama, Takeshi

doi:10.1103/physrevd.60.013006

Cited by 87 publications

(115 citation statements)

References 13 publications

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“…Of course, the coupling matrices y (1) and y (2) are still indeterminate. We fix the matrix y (2) by choosing a single suitable value for all elements of the µ-τ block and a smaller value for the rest of the matrix. As has already been mentioned in [3], our broad conclusions do not depend on this 'working rule'.…”

Section: Two Scalar Triplets and A Cp-violating Phasementioning

confidence: 99%

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CP-violating phase in a two Higgs triplet scenario: Some phenomenological implications

Chaudhuri

Mukhopadhyaya

2016

Phys. Rev. D

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We consider a scenario where, along with the usual Higgs doublet, two scalar triplets are present. The extension of the triplet sector is required for the Type II mechanism for the generation of neutrino masses, if this mechanism has to generate a neutrino mass matrix with two-zero texture. One CP-violating phase has been retained in the scalar potential of the model, and all parameters have been chosen consistently with the observed neutrino mass and mixing patterns. We find that a large phase ( 60 • ) splits the two doubly-charged scalar mass eigenstates wider apart, so that the decay H ++ 1

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Section: Two Scalar Triplets and A Cp-violating Phasementioning

confidence: 99%

“…The vev of the Higgs doublet is as usual given by equation (2). The scalar potential in this model involving φ, ∆ 1 and ∆ 2 can be written as…”

Section: Two Scalar Triplets and A Cp-violating Phasementioning

confidence: 99%

CP-violating phase in a two Higgs triplet scenario: Some phenomenological implications

Chaudhuri

Mukhopadhyaya

2016

Phys. Rev. D

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“…[33] where generic texture-zeros are required for the mass matrices of both charged leptons and neutrinos. These cases include the well-studied parallel structures where both mass matrices have the same texture-zeros [34][35][36][37][38]. We refer to ref.…”

Section: Introductionmentioning

confidence: 99%

Mu-tau reflection symmetry with a texture-zero

Nishi

Sánchez-Vega

2017

J. High Energ. Phys.

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Abstract:The µτ -reflection symmetry is a simple symmetry capable of predicting all the unknown CP phases of the lepton sector and the atmospheric angle but too simple to predict the absolute neutrino mass scale or the mass ordering. We show that by combining it with a discrete abelian symmetry in a nontrivial way we can additionally enforce a texture-zero and obtain a highly predictive scenario where the lightest neutrino mass is fixed to be in the few meV range for two normal ordering (NO) solutions or in the tens of meV in one inverted ordering (IO) solution. The rate for neutrinoless double beta decay is predicted to be negligible for NO or have effective mass m ββ ≈ 14-29 meV for IO, right in the region to be probed in future experiments.

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“…Therefore, the form of mass matrices with two texture zeroes is invariant under the action of the seesaw mechanism of type I [31,32,34,61]. It may also be noticed that, if we set b ν R = 0 or/and c ν R = 0, the resulting expression for M ν L still has two texture zeroes.…”

Section: The Mass Matrix For Left-handed Neutrinosmentioning

confidence: 86%

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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Lepton and quark mass matrices

Cited by 87 publications

References 13 publications

CP-violating phase in a two Higgs triplet scenario: Some phenomenological implications

CP-violating phase in a two Higgs triplet scenario: Some phenomenological implications

Mu-tau reflection symmetry with a texture-zero

The S₃ flavour symmetry: Neutrino masses and mixings

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Lepton and quark mass matrices

Cited by 87 publications

References 13 publications

CP-violating phase in a two Higgs triplet scenario: Some phenomenological implications

CP-violating phase in a two Higgs triplet scenario: Some phenomenological implications

Mu-tau reflection symmetry with a texture-zero

The S3 flavour symmetry: Neutrino masses and mixings

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Product

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The S₃ flavour symmetry: Neutrino masses and mixings