Erratum: Deviations from tribimaximal mixing due to the vacuum expectation value misalignment in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>A</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math>models [Phys. Rev. D<b>81</b>, 093002 (2010)]

Barry, James; Rodejohann, Werner

doi:10.1103/physrevd.81.119901

Cited by 42 publications

(56 citation statements)

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“…x 0.792, 1.195, −2.014 , 25) where the first two correspond to NO, while the last one corresponds to IO spectrum. The corresponding predictions for Majorana phases, the light neutrino masses and |m ββ | are listed in Table 3.…”

Section: The Model At Leading Ordermentioning

confidence: 99%

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Generalised CP and A4 family symmetry

Ding

King

Stuart

2013

J. High Energ. Phys.

105

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We perform a comprehensive study of family symmetry models based on A 4 combined with the generalised CP symmetry H CP . We investigate the lepton mixing parameters which can be obtained from the original symmetry A 4 H CP breaking to different remnant symmetries in the neutrino and charged lepton sectors. We find that only one case is phenomenologically viable, namelyH l CP in the charged lepton sector, leading to the prediction of no CP violation, namely δ CP and the Majorana phases α 21 and α 31 are all equal to either zero or π. We then propose an effective supersymmetric model based on the symmetry A 4 H CP in which trimaximal lepton mixing is predicted together with either zero CP violation or δ CP ±π/2 with non-trivial Majorana phases. An ultraviolet completion of the effective model yields a neutrino mass matrix which depends on only three real parameters. As a result of this, all three CP phases and the absolute neutrino mass scale are determined, the atmospheric mixing angle is maximal, and the Dirac CP can either be preserved with δ CP = 0, π or maximally broken with δ CP = ±π/2 and sharp predictions for the Majorana phases and neutrinoless double beta decay. *

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Section: The Model At Leading Ordermentioning

confidence: 99%

“…[25,26] for a classification of the A 4 models on the market). The generalised CP transformation compatible with an A 4 family symmetry is clarified, and a model-independent analysis of the lepton mixing matrix is performed by scanning all of the possible remnant subgroups in the neutrino and charged lepton sectors.…”

Section: Introductionmentioning

confidence: 99%

Generalised CP and A4 family symmetry

Ding

King

Stuart

2013

J. High Energ. Phys.

105

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“…144 we have studied the 3-3-1 model with neutral fermions based on S 4 group, in which most of the Higgs multiplets are in triplets under S 4 except χ lying in a singlet, and the exact tribimaximal form [146][147][148][149] is obtained, where θ 13 = 0. As we know, the recent considerations have implied θ 13 = 0 [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] , but small as given in (1). This problem has been improved in Ref.…”

Section: Introductionmentioning

confidence: 99%

THE D₄FLAVOR SYMMETRY IN 3-3-1 MODEL WITH NEUTRAL LEPTONS

Vien

Long²

2013

Int. J. Mod. Phys. A

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We construct a D 4 flavor model based on SU(3) C ⊗ SU(3) L ⊗ U(1) X gauge symmetry responsible for fermion masses and mixings. The neutrinos get small masses from antisextets which are in a singlet and a doublet under D 4 . If the D 4 symmetry is violated as perturbation by a Higgs triplet under SU (3) L and lying in 1 ′′′ of D 4 , the corresponding neutrino mass mixing matrix gets the most general form. In this case, the model can fit the experimental data in 2012 on neutrino masses and mixing. Our results show that the neutrino masses are naturally small and a little deviation from the tribimaximal neutrino mixing form can be realized. The quark masses and mixing matrix are also discussed. In the model under consideration, the CKM matrix can be different from the unit matrix. The scalar potential of the model is more simpler than those of the model based on S 3 and S 4 . Assignation of VEVs to antisextets leads to the mixing of the new gauge bosons and those in the Standard Model. The mixing in the charged gauge bosons as well as the neutral gauge boson is considered.

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“…We note that to the best of our knowledge, all of the literally hundreds of flavor symmetry models, be it with A 4 or any other group, were exclusively assuming Majorana neutrinos (see for instance Ref. [4] for a list and classification of A 4 models). This assumption can only be tested in experiments looking for neutrinoless double beta decay, (A, Z) → (A, Z + 2) + 2e − , and currently various collaborations are performing searches for this process [5].…”

Section: Introductionmentioning

confidence: 99%

A4flavor symmetry model for Dirac neutrinos and sizableUe3

2013

Self Cite

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Models based on flavor symmetries are the most often studied approaches to explain the unexpected structure of lepton mixing. In many flavor symmetry groups a product of two triplet representations contains a symmetric and an anti-symmetric contraction to a triplet. If this product of two triplets corresponds to a Majorana mass term, then the anti-symmetric part vanishes, and in economic models tri-bimaximal mixing is achieved. If neutrinos are Dirac particles, the antisymmetric part is however present and leads to deviations from tri-bimaximal mixing, in particular non-zero Ue3. Thus, the non-vanishing value of Ue3 and the nature of the neutrino are connected. We illustrate this with a model based on A4 within the framework of a neutrinophilic 2 Higgs doublet scenario.

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Erratum: Deviations from tribimaximal mixing due to the vacuum expectation value misalignment inA4models [Phys. Rev. D81, 093002 (2010)]

Cited by 42 publications

References 1 publication

Generalised CP and A4 family symmetry

Generalised CP and A4 family symmetry

THE D₄FLAVOR SYMMETRY IN 3-3-1 MODEL WITH NEUTRAL LEPTONS

A4flavor symmetry model for Dirac neutrinos and sizableUe3

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Erratum: Deviations from tribimaximal mixing due to the vacuum expectation value misalignment inA4models [Phys. Rev. D81, 093002 (2010)]

Cited by 42 publications

References 1 publication

Generalised CP and A4 family symmetry

Generalised CP and A4 family symmetry

THE D4FLAVOR SYMMETRY IN 3-3-1 MODEL WITH NEUTRAL LEPTONS

A4flavor symmetry model for Dirac neutrinos and sizableUe3

Contact Info

Product

Resources

About

THE D₄FLAVOR SYMMETRY IN 3-3-1 MODEL WITH NEUTRAL LEPTONS