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High Energy Physics - Phenomenology · arXiv:1203.1593 v3 · submitted 7 Mar 2012

Non-vanishing Ue3 under S3 symmetry

Kim Siyeon

PDF · arXiv · The abstract, sentence by sentence · Cite

The paper says

“This work proposes two models of neutrino masses that predict non-zero θ13 under the non-Abelian discrete flavor symmetry 𝕊3 ⊗ ℤ2.”

from the abstract · picked out as the main claim by a classifier

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The paper

Abstract

This work proposes two models of neutrino masses that predict non-zero θ13 under the non-Abelian discrete flavor symmetry 𝕊3 ⊗ ℤ2. We advocate that the size of θ13 is understood as a group theoretical consequence rather than a perturbed effect from the tri-bi-maximal mixing. So, the difference of two models is designed only in terms of the flavor symmetry, by changing the charge assignment of righthanded neutrinos. The PMNS matrix in the first model is obtained from both mass matrices, charged leptons giving rise to non-zero θl13 and neutrino masses giving rise to tri-bi-maximal mixing. The physical mixing angles are expressed by a simple relation between θl13 and tri-bi-maximal angles to fit the recent experimental results. The other model generates PMNS matrix with non-zero θ13, only from the neutrino mass transformation. The 5 dimensional effective theory of Majorana neutrinos obtained in this framework is tested with phenomenological bounds in the parametric spaces sinθ23,sinθ12 and m2/m3 vs. sinθ13.

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 0.87

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.02 · states quantitative result 0.12 · compares with prior results 0.58 · mentions code or data availability 0.02

The abstract, sentence by sentence

This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.

SentenceRoleThe authors' own workStates the main conclusionStrength
This work proposes two models of neutrino masses that predict non-zero $\theta_{13}$ under the non-Abelian discrete flavor symmetry $\mathbb{S}_3\otimes\mathbb{Z}_2$. contribution 0.99 0.86 0.68 asserted 0.87
We advocate that the size of $\theta_{13}$ is understood as a group theoretical consequence rather than a perturbed effect from the tri-bi-maximal mixing. interpretation 0.99 0.25 0.40 asserted 0.45
So, the difference of two models is designed only in terms of the flavor symmetry, by changing the charge assignment of righthanded neutrinos. method 0.90 0.83 0.06 asserted 1.00
The PMNS matrix in the first model is obtained from both mass matrices, charged leptons giving rise to non-zero $\theta^l_{13}$ and neutrino masses giving rise to tri-bi-maximal mixing. method 0.74 0.82 0.09 asserted 1.00
The physical mixing angles are expressed by a simple relation between $\theta^l_{13}$ and tri-bi-maximal angles to fit the recent experimental results. result 0.46 0.79 0.13 asserted 0.97
The other model generates PMNS matrix with non-zero $\theta_{13}$, only from the neutrino mass transformation. contribution 0.55 0.84 0.15 asserted 1.00
The 5 dimensional effective theory of Majorana neutrinos obtained in this framework is tested with phenomenological bounds in the parametric spaces $\sin\theta_{23}, \sin\theta_{12}$ and $m_2/m_3$ vs. $\sin\theta_{13}$. method 0.62 0.85 0.08 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.92

What was examined, and what was not

Sources read

  • arXiv listing abstract v3

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, 5,805 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 2 Pith papers

Reviewed papers on Pith that cite this one. The full citation record

  1. Analysis of an extended scalar sector with $S_3$ symmetry hep-ph · Apr 2014
  2. Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries hep-ph · May 2012
How the literature uses it

3 arXiv papers cite this in 5 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 1 sentence without a confident label

Cites as background 1 paper
  • 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] .

    Model of Geometric Neutrino Mixing · Introduction · 0.98

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