Erratum to “Tri-bimaximal neutrino mixing and quark masses from a discrete flavour symmetry” [Nucl. Phys. B 775 (2007) 120]

Feruglio, Ferruccio; Hagedorn, Claudia; Lin, Y. J.; Merlo, Luca

doi:10.1016/j.nuclphysb.2010.04.018

Cited by 107 publications

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“…It is worth to mention that in S 4 there is more freedom to generate the mixing in the quark sector than in A 4 . Indeed the doublet irreducible representation could play an important role as happens in T ′ [30].…”

Section: Discussionmentioning

confidence: 99%

“…Lot of theoretical models has been done to explain the mixing matrix of eq. (1) by means of non abelian flavor symmetry, such as S 3 [3,4,5,6,7,8,9,10,11,12,13], A 4 [14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29], T ′ [30,31,32,33,34], S 4 [35,36,37,38,39] and ∆ (27) [40,41,42,43]. The non abelian discrete groups have irreducible representations of dimension bigger than one [44].…”

Section: Introductionmentioning

confidence: 99%

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S4as a natural flavor symmetry for lepton mixing

Bazzocchi

Morisi

2009

Phys. Rev. D

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Group theoretical arguments seem to indicate the discrete symmetry S4 as the minimal flavour symmetry compatible with tribimaximal neutrino mixing. We prove in a model independent way that indeed S4 can realize exact tribimaximal mixing through different symmetry breaking patterns. We present two models in which lepton tribimaximal mixing is realized in different ways and for each one we discuss the superpotential that leads to the correct breaking of the flavor symmetry.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

S4as a natural flavor symmetry for lepton mixing

Bazzocchi

Morisi

2009

Phys. Rev. D

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“…[17][18][19] The other groups were also considered to give the TBM. [20][21][22][23][24][25][26][27][28] On the other hand, the deviation from the TBM was also discussed 29,30 and the magnitudes of θ 13 was estimated based on models. [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45] The observation of the nonvanishing θ 13 forces to study the deviation from the TBM 46-53 precisely or study other flavor paradigms, e.g.…”

Section: Introductionmentioning

confidence: 99%

Predicting CP violation in deviation from tri-bimaximal mixing of neutrinos

2015

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We study the CP violation in the deviation from the tri-bimaximal (TBM) mixing of neutrinos. We examine nontrivial relations among the mixing angles and the CP violating Dirac phase in the typical four cases of the deviation from the TBM. The first two cases are derived by the additional rotation of the 2-3 or 1-3 generations of neutrinos in the TBM basis. The other two cases are given by the additional rotation of the 1-3 or 1-2 generations of charged leptons with the TBM neutrinos. These four cases predict different relations among three mixing angles and the CP violating Dirac phase. The rotation of the 2-3 generations of neutrinos in the TBM basis predicts sin 2 θ 12 < 1/3, and the CP violating Dirac phase to be ±(0.09π-0.76π) for NH (±(0.15π-0.73π) for IH) depending on sin 2 θ 23 . The rotation of the 1-3 generations of neutrinos in the TBM basis gives sin 2 θ 12 > 1/3. The CP violating Dirac phase is not constrained by the input of the present experimental data. For the case of the 1-3 and 1-2 rotations of charged leptons in the TBM basis, the CP violating Dirac phase is predicted in ±(0.35π-0.60π) depending on sin 2 θ 12 for both normal hierarchy (NH) and inverted hierarchy (IH) cases. We also discuss the specific case that θ 13 is related with the Cabibbo angle λ such as sin θ 13 = λ/ √ 2, in which the maximal CP violation is preferred. The CP violating Dirac phase can distinguish the lepton flavor mixing patterns at T2K and NOνA experiments in the future.

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“…The sub-leading terms introduce corrections to the mass matrices of relative order |u| providing a non-zero value of θ 13 and a non-maximal value for θ 23 . Such a framework can also be extended to the quark sector [5].…”

Section: Models With a 4 Flavour Sym-metrymentioning

confidence: 99%

“…These observables are the MDMs, the EDMs and the LFV transitions μ → eγ, τ → μγ and τ → eγ. In the lepton sector, the leading terms of the relevant effective Lagrangian are: (5) where e is the electric charge, e c the set of SU(2) lepton singlets, F μν is the electromagnetic field strength and M ≡ M ( φ ) is a complex 3 × 3 matrix M, with indices in the flavour space. The effective Lagrangian L ef f is invariant under G f , once we treat the symmetry breaking parameters as spurions.…”

Section: Predictions For Low-energy Observablesmentioning

confidence: 99%

Lepton Flavour Violation in Models with A4 Flavour Symmetry

Merlo

2009

Nuclear Physics B - Proceedings Supplements

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The approximated tri-bimaximal mixing (TBM) observed in the ν oscillations is a particular feature of a class of models characterized by the spontaneously broken horizontal flavour symmetry A4. In this paper, it is presented an analysis on the predictions of these models for relevant low-energy observables. In an effective operator approach, these effects are dominated by dim-6 operators, suppressed by the scale M of new physics (NP). Indications for M and an upper bound on θ 13 of a few percent are found.

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Erratum to “Tri-bimaximal neutrino mixing and quark masses from a discrete flavour symmetry” [Nucl. Phys. B 775 (2007) 120]

Cited by 107 publications

References 0 publications

S4as a natural flavor symmetry for lepton mixing

S4as a natural flavor symmetry for lepton mixing

Predicting CP violation in deviation from tri-bimaximal mixing of neutrinos

Lepton Flavour Violation in Models with A4 Flavour Symmetry

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