A simplest A4 model for Tri-Bimaximal neutrino mixing

Altarelli, Guido; Meloni, Davide

doi:10.1088/0954-3899/36/8/085005

Cited by 156 publications

(193 citation statements)

References 90 publications

(57 reference statements)

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“…The flavor violating scattering, e + e − → τ + τ − , could be also sizable, so we investigated the JHEP10 (2015)042 constraints. The masses of T -charged scalars are expected to be around the EW scale, so we conclude that tan β should be less than O (10).…”

Section: Discussionmentioning

confidence: 80%

“…This BSM would be very attractive and reasonable, and so many types of flavor symmetric models have been proposed so far [2][3][4]. Especially, we could find so many models motivated by the large mixing in neutrino sector, because the experimental result may imply so-called Tri-Bi maximal mixing [5][6][7], which can be easily accommodated by the BSMs with non-Abelian discrete flavor symmetry such as A 4 [8][9][10][11][12], S 4 [13][14][15], and ∆ (27) [16] etc.. Recent result on the nonzero θ 13 [17][18][19][20][21][22] may require some small modifications in those models, but we could expect that so many kinds of flavor symmetric models can be still consistent with the experimental results [4,.…”

Section: Jhep10(2015)042mentioning

confidence: 99%

“…realistic mass matrices according to the Tri-Bi maximal mixing structure in flavor models with non-Abelian discrete symmetry: for instance A 4 [8][9][10], S 4 [4, 13-15, 24, 26, 50], A 5 [51,52], T 7 [45,46], ∆ (27) [27], and ∆(6n 2 ) [53][54][55][56][57][58][59][60]. Note that E R i may belong to the triplet-representation or non-trivial singlet of G before the symmetry breaking, but we do not specify it.…”

Section: Jhep10(2015)042mentioning

confidence: 99%

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Study of lepton flavor violation in flavor symmetric models for lepton sector

Kobayashi

Omura

Takayama

et al. 2015

J. High Energ. Phys.

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Flavor symmetric model is one of the attractive Beyond Standard Models (BSMs) to reveal the flavor structure of the Standard Model (SM). A lot of efforts have been put into the model building and we find many kinds of flavor symmetries and setups are able to explain the observed fermion mass matrices. In this paper, we look for common predictions of physical observables among the ones in flavor symmetric models, and try to understand how to test flavor symmetry in experiments. Especially, we focus on the BSMs for leptons with extra Higgs SU(2) L doublets charged under flavor symmetry. In many flavor models for leptons, remnant symmetry is partially respected after the flavor symmetry breaking, and it controls well the Flavor Changing Neutral Currents (FCNCs) and suggests some crucial predictions against the flavor changing process, although the remnant symmetry is not respected in the full lagrangian. In fact, we see that τ − → e + µ − µ − (µ + e − e − ) and e + e − → τ + τ − (µ − µ + ) processes are the most important in the flavor models that the extra Higgs doublets belong to triplet representation of flavor symmetry. For instance, the stringent constraint from the µ → eγ process could be evaded according to the partial remnant symmetry. We also investigate the breaking effect of the remnant symmetry mediated by the Higgs scalars, and investigate the constraints from the flavor physics: the flavor violating τ and µ decays, the electric dipole moments, and the muon anomalous magnetic moment. We also discuss the correlation between FCNCs and nonzero θ 13 , and point out the physical observables in the charged lepton sector to test the BSMs for the neutrino mixing.

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Section: Discussionmentioning

confidence: 80%

Section: Jhep10(2015)042mentioning

confidence: 99%

Section: Jhep10(2015)042mentioning

confidence: 99%

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Study of lepton flavor violation in flavor symmetric models for lepton sector

Kobayashi

Omura

Takayama

et al. 2015

J. High Energ. Phys.

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“…We have demonstrated it through a supersymmetric model based on the group A 4 × Z 3 × Z 5 . Just like its counterparts in the case of symmetry [18,[56][57][58], the present model leading to antisymmetry also needs an elaborate set of flavons and driving fields.…”

Section: Jhep11(2015)186mentioning

confidence: 99%

Neutrino masses and mixing from flavour antisymmetry

Joshipura¹

2015

J. High Energ. Phys.

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We discuss consequences of assuming (i) that the (Majorana) neutrino mass matrix M ν displays flavour antisymmetry, S T ν M ν S ν = −M ν with respect to some discrete symmetry S ν contained in SU(3) and (ii) S ν together with a symmetry T l of the Hermitian combination M l M † l of the charged lepton mass matrix forms a finite discrete subgroup G f of SU(3) whose breaking generates these symmetries. Assumption (i) leads to at least one massless neutrino and allows only four textures for the neutrino mass matrix in a basis with a diagonal S ν if it is assumed that the other two neutrinos are massive. Two of these textures contain a degenerate pair of neutrinos. Assumption (ii) can be used to determine the neutrino mixing patterns. We work out these patterns for two major group series ∆(3N 2 ) and ∆(6N 2 ) as G f . It is found that all ∆(6N 2 ) and ∆(3N 2 ) groups with even N contain some elements which can provide appropriate S ν . Mixing patterns can be determined analytically for these groups and it is found that only one of the four allowed neutrino mass textures is consistent with the observed values of the mixing angles θ 13 and θ 23 . This texture corresponds to one massless and a degenerate pair of neutrinos which can provide the solar pair in the presence of some perturbations. The well-known groups A 4 and S 4 provide examples of the groups in respective series allowing correct θ 13 and θ 23 . An explicit example based on A 4 and displaying a massless and two quasi degenerate neutrinos is discussed.

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“…For example, several fine tuned SUSY extensions of the SM have been studied like Split SUSY [38] or High Scale SUSY [39,40]. There have also been reappraisals of non SUSY Grand Unified Theories (GUT) where again one completely disregards fine tuning [41][42][43].…”

Section: Disregarding the Fine Tuning Problemmentioning

confidence: 99%

The Higgs: so simple yet so unnatural

Altarelli

2014

EPJ Web of Conferences

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Abstract. We present a concise outlook of particle physics after the first LHC results at 7-8 TeV. The discovery of the Higgs boson at 126 GeV will remain as one of the major physics discoveries of our time. But also the surprising absence of any signals of new physics, if confirmed in the continuation of the LHC experiments, is going to drastically change our vision of the field. At present the indication is that Nature does not too much care about our notion of naturalness. Still the argument for naturalness is a solid one and we are facing a puzzling situation. We review the established facts so far and present a tentative assessment of the open problems.

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A simplest A4 model for Tri-Bimaximal neutrino mixing

Cited by 156 publications

References 90 publications

Study of lepton flavor violation in flavor symmetric models for lepton sector

Study of lepton flavor violation in flavor symmetric models for lepton sector

Neutrino masses and mixing from flavour antisymmetry

The Higgs: so simple yet so unnatural

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