Radiatively induced neutrino masses and oscillations in an<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>×</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msub></m

Kitabayashi, Teruyuki; Yasuè, Masaki

doi:10.1103/physrevd.63.095002

Cited by 83 publications

(33 citation statements)

References 94 publications

(19 reference statements)

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“…5 We mention that there are also papers on two-loop models in the literature, which are not covered by our classification, because they are of higher dimension than the Weinberg operator. To quote two more examples, the papers [73][74][75][76] have several variants of CLBZ at d = 7, while [77] has a variant of the RB at d = 7. Finally there is the paper [78], that discusses Dirac neutrino masses at 2-loop.…”

Section: Jhep03(2015)040mentioning

confidence: 99%

Systematic classification of two-loop realizations of the Weinberg operator

Sierra

Degée

Dorame

et al. 2015

J. High Energ. Phys.

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We systematically analyze the d = 5 Weinberg operator at 2-loop order. Using a diagrammatic approach, we identify two different interesting categories of neutrino mass models: (i) Genuine 2-loop models for which both, tree-level and 1-loop contributions, are guaranteed to be absent. And (ii) finite 2-loop diagrams, which correspond to the 1-loop generation of some particular vertex appearing in a given 1-loop neutrino mass model, thus being effectively 2-loop. From the large list of all possible 2-loop diagrams, the vast majority are infinite corrections to lower order neutrino mass models and only a moderately small number of diagrams fall into these two interesting classes. Moreover, all diagrams in class (i) are just variations of three basic diagrams, with examples discussed in the literature before. Similarly, we also show that class (ii) diagrams consists of only variations of these three plus two more basic diagrams. Finally, we show how our results can be consistently and readily used in order to construct two-loop neutrino mass models.

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Section: Jhep03(2015)040mentioning

confidence: 99%

Systematic classification of two-loop realizations of the Weinberg operator

Sierra

Degée

Dorame

et al. 2015

J. High Energ. Phys.

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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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“…Since the CHOOZ results require s 13 < ∼ 0.2, the first relation in (22), with the help of the solar neutrino data provides an upper bound for absolute value of the CP violating phase: |δ| < ∼ |δ| max ≈ 0.84(≃ 48 o ). However, this estimate ignores the dependence of θ 12 on the value of θ 13 in the neutrino oscillation data.…”

Section: Predictive Framework For Neutrino Masses and Mixingsmentioning

confidence: 99%

Predictive Model of Inverted Neutrino Mass Hierarchy and Resonant Leptogenesis

Babu

Bachri

Tavartkiladze

2008

Int. J. Mod. Phys. A

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We present a new realization of inverted neutrino mass hierarchy based on S 3 × U (1) flavor symmetry. In this scenario, the deviation of the solar oscillation angle from π/4 is correlated with the value of θ 13 , as they are both induced by a common mixing angle in the charged lepton sector. We find several interesting predictions: θ 13 ≥ 0.13, sin 2 θ 12 ≥ 0.31, sin 2 θ 23 ≃ 0.5 and 0 ≤ cos δ ≤ 0.7 for the neutrino oscillation parameters and 0.01 eV < ∼ m ββ < ∼ 0.02 eV for the effective neutrino mass in neutrino-less double β-decay. We show that our scenario can also explain naturally the observed baryon asymmetry of the universe via resonant leptogenesis. The masses of the decaying right-handed neutrinos can be in the range (10 3 −10 7 ) GeV, which would avoid the generic gravitino problem of supersymmetric models.

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Radiatively induced neutrino masses and oscillations in anSU(3)L×U(1)N

Cited by 83 publications

References 94 publications

Systematic classification of two-loop realizations of the Weinberg operator

Systematic classification of two-loop realizations of the Weinberg operator

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

Predictive Model of Inverted Neutrino Mass Hierarchy and Resonant Leptogenesis

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