Perturbed S3 neutrinos

Joseph Schechter; M. Naeem Shahid; Renata Jora

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Perturbed S3 neutrinos

Renata jora, Joseph Schechter, M. Naeem Shahid

High Energy Physics - Phenomenology · Submitted 24 Sep 2009

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We study the effects of the perturbation which violates the permutation symmetry of three Majorana neutrinos but preserves the well known (23) interchange symmetry.

how it is stated · asserted 0.83 read the record →

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,279 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.15 · human participants 0.02 · controlled comparison 0.23 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.13 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We study the effects of the perturbation which violates the permutation symmetry of three Majorana neutrinos but preserves the well known (23) interchange symmetry. This is done in the presence of an arbitrary Majorana phase which serves to insure the degeneracy of the three neutrinos at the unperturbed level.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the effects of the perturbation which violates the permutation symmetry of three Majorana neutrinos but preserves the well known (23) interchange symmetry.	contribution 1.00	0.79	0.11	asserted 0.83
s1	This is done in the presence of an arbitrary Majorana phase which serves to insure the degeneracy of the three neutrinos at the unperturbed level.	method 0.95	0.73	0.05	asserted 0.98

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

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figures and tables
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The paper

Original abstract

We study the effects of the perturbation which violates the permutation symmetry of three Majorana neutrinos but preserves the well known (23) interchange symmetry. This is done in the presence of an arbitrary Majorana phase which serves to insure the degeneracy of the three neutrinos at the unperturbed level.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Analysis of an extended scalar sector with $S_3$ symmetry
hep-ph 2014-04 conditional novelty 5.0 of 10

Tree-level unitarity plus vacuum stability in the S3-symmetric three-Higgs-doublet model force all nonstandard scalars below roughly 1 TeV and predict suppressed h to gamma gamma and h to Z gamma signal strengths.
Quark sector of S3 models: classification and comparison with experimental data
hep-ph 2013-04 conditional novelty 4.0 of 10

S3 family-symmetry models of quarks, with one to four Higgs doublets, yield mixing matrices that fit current CKM data well, though the fit uses several adjustable parameters and measured masses as inputs.
Non-Abelian Discrete Symmetries in Particle Physics
hep-th 2010-03 conditional novelty 2.0 of 10

A reference compilation of representations, tensor products, subgroup decompositions and anomaly-free conditions for the non-Abelian discrete groups most used in flavor model building, with three worked flavor models.

How the literature uses it

15 arXiv papers cite this in 29 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

Papers citing it · 16 sentences without a confident label

Uses its data or values 1 paper

The following best fit values for the perturbation parameters $βt$ and $βu$ were given in the first order treatment [ref] :

Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter · Perturbation analysis · 0.98

Compares with it 1 paper

In comparison, one will be left with $δ= 0$ in the limit of the flavor democracy [ref] or $S^_3$ permutation symmetry [ref] .

Seesaw mirroring between light and heavy Majorana neutrinos with the help of the $S^{}_3$ reflection symmetry · Introduction · 0.99

Cites it as background 9 papers

singlet under $S_3$ [ref] .

Quark sector of S3 models: classification and comparison with experimental data · Introduction · 0.81
A large number of papers [ref] have presented detailed models based on $S_3$ symmetry.

Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13} · Introduction · 0.98
There are quite a few studies about the breaking of $S_3$ symmetry in the leptonic sector [ref] to produce the current observed neutrino oscillation data.

Radiative and Seesaw Threshold Corrections to the $S_3$ Symmetric Neutrino Mass Matrix · Introduction · 0.82

What it cites

Uses data or values from 1 paper

The experimental bound on $|m_ee|$ is given [ref] as,

Neutrinoless double beta decay and direct searches for neutrino mass · Neutrinoless double beta decay · 0.99

Compares with 1 paper

The results of a recent study [ref] of neutrino oscillation experiments are: [equation] One immediately notices that the prediction, $(s_23)^2$=1/2 is unchanged from its tribimaximal value by the perturbation and agrees with the new analysis.

Three-flavour neutrino oscillation update · Analysis of favored perturbation · 0.87

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