High Energy Physics - Phenomenology · arXiv:hep-ph/0508099 v1 · submitted 9 Aug 2005
Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
The paper says
“It predicts the following mixing angles for neutrino oscillations: theta_13=0, sin^2 theta_23=1/2, and sin^2 theta_12 close, but not exactly equal to 1/3, in one natural symmetry limit.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
In a new application of the discrete non-Abelian symmetry A_4 using the canonical seesaw mechanism, a three-parameter form of the neutrino mass matrix is derived. It predicts the following mixing angles for neutrino oscillations: theta_13=0, sin^2 theta_23=1/2, and sin^2 theta_12 close, but not exactly equal to 1/3, in one natural symmetry limit.
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. No sentence in this record was written by a model.
abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.96
What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.34 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.97 · compares with prior results 0.06 · mentions code or data availability 0.01
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| In a new application of the discrete non-Abelian symmetry A_4 using the canonical seesaw mechanism, a three-parameter form of the neutrino mass matrix is derived. | contribution 0.86 | 0.90 | 0.17 | asserted 1.00 |
| It predicts the following mixing angles for neutrino oscillations: theta_{13}=0, sin^2 theta_{23}=1/2, and sin^2 theta_{12} close, but not exactly equal to 1/3, in one natural symmetry limit. | result 1.00 | 0.83 | 0.73 | asserted 0.96 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
What was examined, and what was not
Sources read
- arXiv listing abstract v1
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,376 input tokens, $0.0001 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 12 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Flavor symmetries, leptogenesis and the absolute neutrino mass scale hep-ph · Aug 2009
- Symmetry of Lepton Mixing hep-ph · Aug 2007
- Neutrino Mass Matrix from S_4 Symmetry hep-ph · Aug 2005
- Resolving the octant of theta23 with T2K and NOvA hep-ph · Jan 2013
- A4 family symmetry and quark-lepton unification hep-ph · Oct 2006
- On the Quasi-fixed Point in the Running of CP-violating Phases of Majorana Neutrinos hep-ph · Mar 2006
- Breaking Tri-bimaximal Mixing and Large $\theta_{13}$ hep-ph · May 2011
- Deviation from tri-bimaximal mixings in two types of inverted hierarchical neutrino mass models hep-ph · Mar 2006
- Lowering solar mixing angle in inverted hierarchy without charged lepton corrections hep-ph · Mar 2006
- Flavour physics of leptons and dipole moments hep-ph · Jan 2008
- Non-Abelian Discrete Symmetries in Particle Physics hep-th · Mar 2010
- Discrete Flavor Symmetries and Models of Neutrino Mixing hep-ph · Feb 2010
How the literature uses it
10 arXiv papers cite this in 12 sentences
Papers citing it · 7 sentences without a confident label
Builds on it 2 papers
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The particle contents and charge assignment of the model discussed here are similar to the ones proposed by Ma in [ref] except that in addition to $Z_2^aux$ in Ma model, we add the auxiliary symmetry $Z_5^aux$.[The auxiliary symmetry $Z_5^aux$ plays an essential role in constraining the terms in the flavon scalar potential which will be shown in the following subsection.] The particle contents and charge assignment of the model are given in Tab. [ref].
A4 Flavor Models in Split Seesaw Mechanism · Basic Model · 0.95
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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 3 papers
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Many previous studies have considered the TBM form in the symmetric limit of different flavor symmetries [ref] .
Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle · Introduction · 0.97
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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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Some simple models based on the $A_4$ symmetry can be found in e. g., [ref] .
Phenomenology in the Higgs Triplet Model with the A_4 Symmetry · Introduction · 0.91
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