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Neutrino Mixing With Non-Zero $\theta_{13}$ In Zee-Babu Model
High Energy Physics - Phenomenology · Submitted 7 May 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The model gives some regions of the parameters where neutrino mixing angles and the normal neutrino mass hierarchy obtained consistent with the recent experimental data.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
The exact solution for the neutrino mass matrix of the Zee-Babu model is derived. Tribimaximal mixing imposes conditions on the Yukawa couplings, from which the normal mass hierarchy is preferred. The derived conditions give a possibility of Majorana maximal $\mathrm{CP}$ violation in the neutrino sector. We have shown that non-zero $\theta_{13}$ is generated if Yukawa couplings between leptons almost equal to each other. The model gives some regions of the parameters where neutrino mixing angles and the normal neutrino mass hierarchy obtained consistent with the recent experimental data.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The exact solution for the neutrino mass matrix of the Zee-Babu model is derived. | contribution 0.68 | 0.95 | 0.13 | asserted 1.00 |
| s1 | Tribimaximal mixing imposes conditions on the Yukawa couplings, from which the normal mass hierarchy is preferred. | result 0.94 | 0.75 | 0.18 | asserted 0.98 |
| s2 | The derived conditions give a possibility of Majorana maximal $\mathrm{CP}$ violation in the neutrino sector. | result 0.74 | 0.85 | 0.15 | hedged possibility 0.99 |
| s3 | We have shown that non-zero $\theta_{13}$ is generated if Yukawa couplings between leptons almost equal to each other. | result 1.00 | 0.91 | 0.42 | asserted 0.95 |
| s4 | The model gives some regions of the parameters where neutrino mixing angles and the normal neutrino mass hierarchy obtained consistent with the recent experimental data. | result 0.97 | 0.89 | 0.40 | hedged possibility 0.69 |
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The paper
Original abstract
The exact solution for the neutrino mass matrix of the Zee-Babu model is derived. Tribimaximal mixing imposes conditions on the Yukawa couplings, from which the normal mass hierarchy is preferred. The derived conditions give a possibility of Majorana maximal $\mathrm{CP}$ violation in the neutrino sector. We have shown that non-zero $\theta_{13}$ is generated if Yukawa couplings between leptons almost equal to each other. The model gives some regions of the parameters where neutrino mixing angles and the normal neutrino mass hierarchy obtained consistent with the recent experimental data.
Human review
How the literature uses it
17 arXiv papers cite this in 23 sentences
Papers citing it · 9 sentences without a confident label
Cites it as background 14 papers
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Thus a vast literature has recently arisen along this idea [ref] .
An Extended Colored Zee-Babu Model · Introduction · 0.97
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Especially two-loop induced models that we will focus on in this paper have been widely studied in various aspects [ref] .
A Two Loop Radiative Neutrino Model · Introduction · 0.96
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Due to the fascinating nature, there exists a vast number of papers along this idea [ref] .
Classically Conformal Radiative Neutrino Model with Gauged B-L Symmetry · Introduction · 0.99
What it cites · 6 sentences without a confident label
Uses data or values from 7 papers
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Whereas, the new data [ref] have been given to be slightly modified from the old fits ([ref]): sin^2(2θ_12)=0.857±0.024 , sin^2(2θ_13)=0.098±0.013, sin^2(2θ_23)> 0.95, Δm^2_21=(7.50±0.20)×10^-5 eV^2,Δm^2_32=(2.32^+0.12_-0.08)×10^-3eV^2.
Global status of neutrino oscillation parameters after Neutrino-2012 · Introduction · 0.86
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Whereas, the new data [ref] have been given to be slightly modified from the old fits ([ref]): sin^2(2θ_12)=0.857±0.024 , sin^2(2θ_13)=0.098±0.013, sin^2(2θ_23)> 0.95, Δm^2_21=(7.50±0.20)×10^-5 eV^2,Δm^2_32=(2.32^+0.12_-0.08)×10^-3eV^2.
Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches · Introduction · 0.86
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Whereas, the new data [ref] have been given to be slightly modified from the old fits ([ref]): sin^2(2θ_12)=0.857±0.024 , sin^2(2θ_13)=0.098±0.013, sin^2(2θ_23)> 0.95, Δm^2_21=(7.50±0.20)×10^-5 eV^2,Δm^2_32=(2.32^+0.12_-0.08)×10^-3eV^2.
Global fit to three neutrino mixing: critical look at present precision · Introduction · 0.86
Compares with 2 papers
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Our set $ϵ, α, t_12$ is equivalent to the set $ϵ_12, ϵ_23, ϵ_13$ in Ref. [ref] .
An eigenvector based approach to neutrino mixing · Experimental constraints with non-zero $θ_13$ · 0.92
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It is interesting to note that the model-independent parametrization of non-TBM structures based on deviations from the reactor, solar and atmospheric angles [ref] and on small perturbations of the tribimaximal mixing eigenvectors [ref] is similar to our approach here.
Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing · Experimental constraints with non-zero $θ_13$ · 0.87
Cites as background 3 papers
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The Zee-Babu model [ref] with just two additional charged Higgs bosons ($h^-, k^–$) carrying lepton number 2, is very attractive[In the recent paper [ref] , the parameter space of the model under consideration has been reanalyzed, and the lower bounds for masses of the singly and doubly charged Higgses lie between 1 to 2 TeV.].
Status of the Zee-Babu model for neutrino mass and possible tests at a like-sign linear collider · Introduction · 0.84
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Many experiments show that neutrinos have tiny masses and their mixing is sill mysterious [ref] .
Neutrino Mixing: Theoretical Overview · Introduction · 0.97
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Many experiments show that neutrinos have tiny masses and their mixing is sill mysterious [ref] .
An Overview of Neutrino Mixing · Introduction · 0.97
Discussion
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