High Energy Physics - Phenomenology · arXiv:hep-ph/0507217 v2 · submitted 19 Jul 2005
Model of Geometric Neutrino Mixing
The paper says
“It is shown that baryogenesis via leptogenesis occurs quite naturally, with a single phase (determined from neutrino oscillation data) appearing in leptonic asymmetry and in neutrinoless double beta decay.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
Current neutrino oscillation data from solar, atmospheric, and reactor experiments are consistent with the neutrino mixing matrix elements taking values sin^2\theta_12 = 1/3, sin^2\theta_23 = 1/2, and sin^2\theta_13=0. We present a class of renormalizable gauge models which realize such a geometric mixing pattern naturally. These models, which are based on the non–Abelian discrete symmetry A_4, place significant restrictions on the neutrino mass spectrum, which we analyze. It is shown that baryogenesis via leptogenesis occurs quite naturally, with a single phase (determined from neutrino oscillation data) appearing in leptonic asymmetry and in neutrinoless double beta decay. Such predicted correlations would provide further tests of this class of models.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.99
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.15 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.74 · compares with prior results 0.18 · 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 |
|---|---|---|---|---|
| Current neutrino oscillation data from solar, atmospheric, and reactor experiments are consistent with the neutrino mixing matrix elements taking values sin^2\theta_{12} = 1/3, sin^2\theta_{23} = 1/2, and sin^2\theta_{13}=0. | background 1.00 | 0.05 | 0.08 | hedged possibility 0.96 |
| We present a class of renormalizable gauge models which realize such a geometric mixing pattern naturally. | contribution 0.99 | 0.93 | 0.30 | asserted 1.00 |
| These models, which are based on the non--Abelian discrete symmetry A_4, place significant restrictions on the neutrino mass spectrum, which we analyze. | contribution 0.54 | 0.73 | 0.12 | asserted 1.00 |
| It is shown that baryogenesis via leptogenesis occurs quite naturally, with a single phase (determined from neutrino oscillation data) appearing in leptonic asymmetry and in neutrinoless double beta decay. | result 0.96 | 0.86 | 0.30 | asserted 0.99 |
| Such predicted correlations would provide further tests of this class of models. | future work 0.57 | 0.35 | 0.21 | hedged possibility 0.77 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.80
What was examined, and what was not
Sources read
- arXiv listing abstract v2
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, 4,368 input tokens, $0.0002 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 27 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Lepton Mixing Patterns from a Scan of Finite Discrete Groups hep-ph · Dec 2012
- Tribimaximal Mixing From Small Groups hep-ph · Dec 2010
- Is S4 the horizontal symmetry of tri-bimaximal lepton mixing? hep-ph · Jun 2009
- Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81) hep-ph · Nov 2008
- Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups hep-ph · Sep 2007
- Twisted Flavors and Tri/bi-Maximal Neutrino Mixing hep-ph · Mar 2006
- A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles hep-ph · Dec 2005
- Neutrino Mass Matrix from S_4 Symmetry hep-ph · Aug 2005
- Higgs $\to \mu \tau$ in Abelian and Non-Abelian Flavor Symmetry Models hep-ph · Dec 2014
- Quark and Leptonic Mixing Patterns from the Breakdown of a Common Discrete Flavor Symmetry hep-ph · Jun 2013
- An A4 flavor model for quarks and leptons in warped geometry hep-ph · Apr 2010
- Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry hep-ph · Sep 2007
- A4 family symmetry and quark-lepton unification hep-ph · Oct 2006
- Estimations of baryon asymmetry for different neutrino mass models hep-ph · Apr 2006
- Renormalization-group evolution of the fermion mass matrices hep-ph · Aug 2019
- Scotogenic $Z_2$ or $U(1)_D$ Model of Neutrino Mass with $\Delta(27)$ Symmetry hep-ph · Mar 2014
- Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries hep-ph · Dec 2011
- Neutrino Mass Sum-rules in Flavor Symmetry Models hep-ph · Jul 2010
- A schematic model of neutrinos hep-ph · Apr 2006
- Neutrino Mass and Mixing: from Theory to Experiment hep-ph · Feb 2014
- Minimal Modification to Tri-bimaximal Mixing hep-ph · Jun 2011
- Flavour physics of leptons and dipole moments hep-ph · Jan 2008
- Neutrino masses and mixing: Leptons versus Quarks hep-ph · Apr 2006
- TASI Lectures on Flavor Physics hep-ph · Oct 2009
- Neutrino masses and mixing: a flavour symmetry roadmap hep-ph · Jun 2012
- Discrete Flavor Symmetries and Models of Neutrino Mixing hep-ph · Feb 2010
- Neutrino Mass and New Physics hep-ph · Mar 2006
How the literature uses it
30 arXiv papers cite this in 41 sentences
Papers citing it · 22 sentences without a confident label
Compares with it 1 paper
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The presence of a non-zero $θ_13$ modifies the predicted values of observable compared to the models in [ref] .
Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries · Phenomenology · 0.92
Cites it as background 18 papers
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In particular, the study of the non-Abelian discrete symmetry group $A_4$ has received considerable interest in the recent past [ref] .
The A4 flavor symmetry and neutrino phenomenology · Introduction · 0.96
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In this connection the earliest and most popular application is the non-Abelian discrete $A^_4$ symmetry (see, e.g., Refs. [ref] ).
Intrinsic Deviation from the Tri-bimaximal Neutrino Mixing in a Class of A_4 Flavor Models · Introduction · 0.95
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Non-Abelian discrete symmetries have provided theoretical frameworks for neutrino masses with tri-bi-maximal(TBM) mixing [ref] with $sinθ_12=1/√(3), sinθ_23=1/√(2),$ and $sinθ_13=0$ [ref] .
Non-vanishing $U_{e3}$ under $S_3$ symmetry · Introduction · 0.98
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