High Energy Physics - Phenomenology · arXiv:hep-ph/0504181 v2 · submitted 20 Apr 2005
Hybrid Seesaw Neutrino Masses with A_4 Family Symmetry
The paper says
“In the CP conserving case, we find sinθ13 ≈ 2/(tan2θ23tan2θ12) and we predict inverted (normal) ordering of the mass spectrum for tan2θ12 < 0.5 ( > 0.5).”
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Abstract
We consider the scenario in which neutrino data are explained by the interplay of type I and II seesaw terms in the Majorana neutrino mass matrix ℳν = ℳL−ℳDℳR−1ℳDT. We construct a predictive model with ℳL proportional to the unit matrix, 3 diagonal texture zeros in ℳR, and ℳD diagonal. We show how this pattern can be maintained by the non-Abelian discrete symmetry A4, and discuss its phenomenological consequences. It turns out that the two types of seesaw give contributions of the same order to ℳν. In the CP conserving case, we find sinθ13 ≈ 2/(tan2θ23tan2θ12) and we predict inverted (normal) ordering of the mass spectrum for tan2θ12 < 0.5 ( > 0.5).
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.93 · compares with prior results 0.07 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We consider the scenario in which neutrino data are explained by the interplay of type I and II seesaw terms in the Majorana neutrino mass matrix ${\cal M}_\nu = {\cal M}_L - {\cal M}_D {\cal M}_R^{-1} {\cal M}_D^T$. | contribution 0.53 | 0.40 | 0.07 | asserted 0.67 |
| We construct a predictive model with ${\cal M}_L$ proportional to the unit matrix, 3 diagonal texture zeros in ${\cal M}_R$, and ${\cal M}_D$ diagonal. | contribution 0.55 | 0.94 | 0.07 | asserted 0.99 |
| We show how this pattern can be maintained by the non-Abelian discrete symmetry $A_4$, and discuss its phenomenological consequences. | contribution 0.54 | 0.91 | 0.10 | asserted 0.96 |
| It turns out that the two types of seesaw give contributions of the same order to ${\cal M}_\nu$. | result 0.99 | 0.88 | 0.26 | asserted 1.00 |
| In the CP conserving case, we find $\sin\theta_{13}\approx 2/(\tan 2\theta_{23} \tan 2\theta_{12})$ and we predict inverted (normal) ordering of the mass spectrum for $\tan^2\theta_{12} < 0.5 ~(>0.5)$. | result 1.00 | 0.95 | 0.52 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
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How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,546 input tokens, $0.0002 reported.
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Cited by 9 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Neutrino Mass Matrix from S_4 Symmetry hep-ph · Aug 2005
- SU(3) family symmetry and neutrino bi-tri-maximal mixing hep-ph · Jul 2005
- S4 as a natural flavor symmetry for lepton mixing hep-ph · Nov 2008
- A4 family symmetry and quark-lepton unification hep-ph · Oct 2006
- Fate of $\theta_{12}$ under $\mu-\tau$ Reflection Symmetry in Light of the First JUNO Results hep-ph · Feb 2026
- Breaking Tri-bimaximal Mixing and Large $\theta_{13}$ hep-ph · May 2011
- Flavour physics of leptons and dipole moments hep-ph · Jan 2008
- Lepton Number Violation: Seesaw Models and Their Collider Tests hep-ph · Nov 2017
- Discrete Flavor Symmetries and Models of Neutrino Mixing hep-ph · Feb 2010
How the literature uses it
9 arXiv papers cite this in 9 sentences
Papers citing it · 2 sentences without a confident label
Builds on it 1 paper
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The canonical see-saw mechanism was previously applied in the case of the non-Abelian symmetry group $A_4$ in a very similar way [ref] .
The Frobenius group T13 and the canonical see-saw mechanism applied to neutrino mixing · Introduction · 0.82
Cites it as background 6 papers
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A well-studied hybrid model is the Type I+II Seesaw mechanism, wherein the light neutrino mass matrix $M_ν$, when $M_D M_R^-1≪1$, is given by [ref] [equation] Here, the Dirac and Majorana mass terms, $M_D$, $M_R$, have their respective origins according to the Type I model, whereas $M_L$ originates from the Type II mechanism; see Sec. [ref] for details.
Lepton Number Violation: Seesaw Models and Their Collider Tests · Type I+II Hybrid Seesaw Mechanism · 0.87
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One class of models was based on the discrete group $A_4$ [ref] (see [ref] for reviews).
Nonzero $\theta_{13}$ in $SO(3) \rightarrow A_4$ lepton models · Introduction · 0.99
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In this work, the $μ-τ$ reflection symmetry naturally arises from an underlying $A_4$ flavor symmetry[A number of selected studies based on $A_4$ in the literature can be found in Refs. [ref] .].
Fate of $\theta_{12}$ under $\mu-\tau$ Reflection Symmetry in Light of the First JUNO Results · Introduction · 0.85
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