S3 as a flavour symmetry for quarks and leptons after the Daya Bay result on \theta 13

Davide Meloni

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S3 as a flavour symmetry for quarks and leptons after the Daya Bay result on \theta 13

Davide Meloni

High Energy Physics - Phenomenology · Submitted 14 Mar 2012

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

The authors' main claim We present a model based on the flavour group S3 X Z3 X Z6 to explain the main features of fermion masses and mixing.

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What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.02 · states quantitative result 0.97 · compares with prior results 0.83 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We present a model based on the flavour group S3 X Z3 X Z6 to explain the main features of fermion masses and mixing. In particular, in the neutrino sector the breaking of the S3 symmetry is responsible for a naturally small r=\Delta m^2_sol/\Delta m^2_atm and suitable next-to-leading order corrections bring \theta 13 at the level of ~ 0.13, fully compatible with the recent Daya Bay result. In the quark sector, the model accommodates the different mass hierarchies in the up and down quark sectors as well as the Cabibbo angle and Vcb (or Vub, depending on the charge assignment of the right-handed b-quark) in the correct range.

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 present a model based on the flavour group S3 X Z3 X Z6 to explain the main features of fermion masses and mixing.	contribution 0.90	0.91	0.21	asserted 1.00
s1	In particular, in the neutrino sector the breaking of the S3 symmetry is responsible for a naturally small r=\Delta m^2_sol/\Delta m^2_atm and suitable next-to-leading order corrections bring \theta 13 at the level of ~ 0.13, fully compatible with the recent Daya Bay result.	result 0.95	0.85	0.44	asserted 0.96
s2	In the quark sector, the model accommodates the different mass hierarchies in the up and down quark sectors as well as the Cabibbo angle and Vcb (or Vub, depending on the charge assignment of the right-handed b-quark) in the correct range.	result 0.93	0.79	0.12	asserted 0.90

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.58.

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arXiv listing abstract v1

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full text
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P abstract

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C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We present a model based on the flavour group S3 X Z3 X Z6 to explain the main features of fermion masses and mixing. In particular, in the neutrino sector the breaking of the S3 symmetry is responsible for a naturally small r=\Delta m^2_sol/\Delta m^2_atm and suitable next-to-leading order corrections bring \theta 13 at the level of ~ 0.13, fully compatible with the recent Daya Bay result. In the quark sector, the model accommodates the different mass hierarchies in the up and down quark sectors as well as the Cabibbo angle and Vcb (or Vub, depending on the charge assignment of the right-handed b-quark) in the correct range.

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References

Forward citations

Cited by 4 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.
Fermion masses and mixings in the 3-3-1 model with right-handed neutrinos based on the $S_3$ flavor symmetry
hep-ph 2013-09 conditional novelty 4.0 of 10

A 3-3-1 model with S3 x Z3 x Z3' x Z8 x Z16 flavor symmetry and 15 singlet scalars reproduces SM fermion masses and mixings and yields m_betabeta = 4 (NH) or 48 meV (IH).
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.
Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
hep-ph 2012-05 conditional novelty 2.0 of 10

A review argues that the measured theta13 still leaves Tri-Bimaximal mixing viable, with special A4 models able to make theta13 naturally larger than the shifts in theta12 and theta23.

How the literature uses it

22 arXiv papers cite this in 24 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 · 9 sentences without a confident label

Cites it as background 15 papers

As a result of the rapidly changing landscape of neutrino mixing parameters, many models based on discrete family symmetry (see [ref] and references therein) which were proposed initially to account for TB mixing are now either excluded, or have been subjected to modification [ref] .

A Grand Delta(96) x SU(5) Flavour Model · Introduction · 0.87
singlet under $S_3$ [ref] .

Quark sector of S3 models: classification and comparison with experimental data · Introduction · 0.81
As it is well known, in several extended models with three Higgs doblets (3HD) and the $𝐒_3$ flavor symmetry [ The $S_3$ flavor symmetry has been studied exhaustively in different frameworks [ref] .

A comparative study between the modified Fritzsch and nearest neighbor interaction textures · Quark Mass Matrix · 0.97

What it cites · 10 sentences without a confident label

Contests 2 papers

In [ref] it has been suggested to introduce a further symmetry under which $x_1 = -x_2$ and $v_ϕ= v_χ$; however, as pointed out in [ref] , this additional symmetry does not commute with $S_3$ and the whole symmetry group is larger than the latter.

Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry · Charged leptons · contest 0.74
In [ref] it has been suggested to introduce a further symmetry under which $x_1 = -x_2$ and $v_ϕ= v_χ$; however, as pointed out in [ref] , this additional symmetry does not commute with $S_3$ and the whole symmetry group is larger than the latter.

A discrete symmetry group for maximal atmospheric neutrino mixing · Charged leptons · contest 0.74

Uses data or values from 1 paper

In these plots, the horizontal gray bands are the regions excluded by the experimental data at 3$σ$, as obtained from the second reference in [ref] .

Evidence of theta(13)>0 from global neutrino data analysis · Numerical analysis of the lepton sector · 0.82

Cites as background 3 papers

Discrete symmetries [ref] have been invoked as a powerful tool to solve/mitigate some of these problems and, among several choices, the non-abelian discrete group $S_3$ [ref] has also been investigated.

Discrete Flavor Symmetries and Models of Neutrino Mixing · Introduction · 0.92
Interesting attempts in this direction have been done in the context of GUT theories [ref] and in a non-unified approach [ref] - [ref] .

Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry · Introduction · 0.80
Interesting attempts in this direction have been done in the context of GUT theories [ref] and in a non-unified approach [ref] - [ref] .

Broken S_3 Flavor Symmetry of Leptons and Quarks: Mass Spectra and Flavor Mixing Patterns · Introduction · 0.80

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