<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>permutation symmetry for left-handed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>μ</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>τ</mml:mi></mml:math>families and neutrino oscillations in an<mm

Kitabayashi, Teruyuki; Yasuè, Masaki

doi:10.1103/physrevd.67.015006

Cited by 153 publications

(30 citation statements)

References 107 publications

(24 reference statements)

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“…In most of this work, the meaning of the flavor has been extended to the scalar sector such that three Higgs doublets are required to accommodate the PMNS and CKM mixing matrices. One motivation to use the S 3 flavor symmetry in the lepton sector is to generate the μ-τ symmetry [60][61][62][63][64][65] which could be the origin of the tribimaximal mixing matrix [66,67]. In the quark sector, on the other hand, the S 3 symmetry may be responsible to get the generalized Fritzsch mass textures which fit quite well the CKM mixing matrix [34,48,68].…”

Section: Introductionmentioning

confidence: 99%

Non-minimal flavored $${S}_{3}\otimes {Z}_{2}$$ S 3 ⊗ Z 2 left–right symmetric model

Gómez-Izquierdo

2017

Eur. Phys. J. C

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We propose a non-minimal left-right symmetric model with parity symmetry where the fermion mixings arise as a result of imposing an S 3 ⊗ Z 2 flavor symmetry, and an extra Z e 2 symmetry is considered in the lepton sector. Then the neutrino mass matrix possesses approximately the μ-τ symmetry. The breaking of the μ-τ symmetry induces sizable non-zero θ 13 , and the deviation of θ 23 from 45 • is strongly controlled by an free parameter and the neutrino masses. So, an analytic study of the CP parities in the neutrino masses is carried out to constrain the parameter and the lightest neutrino mass that accommodate the mixing angles. The results are: (a) the normal hierarchy is ruled out for any values of the Majorana phases; (b) for the inverted hierarchy the values of the reactor and atmospheric angles are compatible up to 2, 3 σ C.L.; (c) the degenerate ordering is the most favorable such that the reactor and atmospheric angle are compatible with the experimental data for a large set of values of the free parameters. The model predicts defined regions for the effective neutrino mass, the neutrino mass scale and the sum of the neutrino masses for the favored cases. Therefore, this model may be testable by the future experiments.

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Section: Introductionmentioning

confidence: 99%

Non-minimal flavored $${S}_{3}\otimes {Z}_{2}$$ S 3 ⊗ Z 2 left–right symmetric model

Gómez-Izquierdo

2017

Eur. Phys. J. C

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“…Arguments have been given [7,8,9] that in this case a non-abelian symmetry is required-for models along this line see, for instance, Refs. [10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

A discrete symmetry group for maximal atmospheric neutrino mixing

Grimus

Lavoura²

2003

Physics Letters B

269

329

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We propose a discrete non-abelian symmetry group which enforces maximal atmospheric neutrino mixing, while θ 13 = 0 and the solar mixing angle θ 12 remains undetermined; without finetuning, θ 12 will be large but non-maximal. Our extension of the Standard Model has three right-handed neutrino singlets ν R and implements the seesaw mechanism. Furthermore, we have an enlarged scalar sector with three Higgs doublets and two scalar gauge singlets; the latter have masses and vacuum expectation values of the order of the seesaw scale. Lepton mixing stems exclusively from the ν R Majorana mass matrix, where non-diagonal elements are generated by the vacuum expectation values of the scalar singlets. The model predicts a neutrino mass spectrum with m 3 > m 2 > m 1 , and the effective Majorana mass of neutrinoless ββ decay is equal to m 1 m 2 /m 3

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“…To provide an explanation for the observed pattern of SM fermion masses and mixings, various 3-3-1 models with flavor symmetries [33][34][35][36][37][38][39][40][41][42][43][44][45][120][121][122][123] and radiative seesaw mechanisms [80,120,[124][125][126][127][128][129][130][131][132][133] have been proposed in the literature. However, some of them involve non renormalizable interactions [39,40,42,43,45], others are renormalizable but do not address the observed pattern of fermion masses and mixings due to the unexplained huge hierarchy among the Yukawa couplings [33, 35-38, 122, 123, 134] and others are only focused either in the quark mass hierarchy [34,128,130], or in the study of the neutrino sector [120, 124-127, 129, 132, 133, 135, 136], or only include the description of SM fermion mass hierarchy, without addressing the mixings in the fermion sector [131].…”

Section: Introductionmentioning

confidence: 99%

A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern

Hernández

Kovalenko

Long

et al. 2018

J. High Energ. Phys.

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Abstract:We propose an extension of the 3-3-1 model with an additional symmetry group Z 2 × Z 4 × U(1) Lg and an extended scalar sector. To our best knowledge this is the first example of a renormalizable 3-3-1 model, which allows explanation the SM fermion mass hierarchy by a sequential loop suppression: tree-level top and exotic fermion masses, 1-loop bottom, charm, tau and muon masses; 2-loop masses for the light up, down, strange quarks as well as for the electron. The light active neutrino masses are generated from a combination of linear and inverse seesaw mechanisms at two loop level. The model also has viable fermionic and scalar dark matter candidates.

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S2Lpermutation symmetry for left-handedμandτfamilies and neutrino oscillations in an

Cited by 153 publications

References 107 publications

Non-minimal flavored $${S}_{3}\otimes {Z}_{2}$$ S 3 ⊗ Z 2 left–right symmetric model

Non-minimal flavored $${S}_{3}\otimes {Z}_{2}$$ S 3 ⊗ Z 2 left–right symmetric model

A discrete symmetry group for maximal atmospheric neutrino mixing

A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern

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