Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry

Gui-Jun Ding

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Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry

Gui-Jun Ding

High Energy Physics - Phenomenology · Submitted 24 Jun 2010

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

The authors' main claim Tri-bimaximal mixing in the neutrino sector is predicted exactly at leading order, charged lepton mixing leads to small deviation from the tri-bimaximal mixing pattern.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.36 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.39 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We construct a supersymmetric (SUSY) $SU(5)$ model with the flavor symmetry $S_4\times Z_3\times Z_4$. Three generations of adjoint matter fields are introduced to generate the neutrino masses via the combined type I and type III see-saw mechanism. The first two generations of the the $\mathbf{10}$ dimensional representation in $SU(5)$ are assigned to be a doublet of $S_4$, the second family $\mathbf{10}$ is chose as the first component of the doublet, and the first family as the second component. Tri-bimaximal mixing in the neutrino sector is predicted exactly at leading order, charged lepton mixing leads to small deviation from the tri-bimaximal mixing pattern. Subleading contributions introduce corrections of order $\lambda^2_c$ to all three lepton mixing angles. The model also reproduces a realistic pattern of quark and charged lepton masses and quark mixings. The phenomenological implications of the model are analyzed in datail.

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 construct a supersymmetric (SUSY) $SU(5)$ model with the flavor symmetry $S_4\times Z_3\times Z_4$.	contribution 0.97	0.95	0.07	asserted 1.00
s1	Three generations of adjoint matter fields are introduced to generate the neutrino masses via the combined type I and type III see-saw mechanism.	method 0.78	0.86	0.08	asserted 1.00
s2	The first two generations of the the $\mathbf{10}$ dimensional representation in $SU(5)$ are assigned to be a doublet of $S_4$, the second family $\mathbf{10}$ is chose as the first component of the doublet, and the first family as the second component.	method 0.88	0.88	0.05	asserted 1.00
s3	Tri-bimaximal mixing in the neutrino sector is predicted exactly at leading order, charged lepton mixing leads to small deviation from the tri-bimaximal mixing pattern.	result 1.00	0.88	0.42	asserted 1.00
s4	Subleading contributions introduce corrections of order $\lambda^2_c$ to all three lepton mixing angles.	result 1.00	0.85	0.10	asserted 1.00
s5	The model also reproduces a realistic pattern of quark and charged lepton masses and quark mixings.	result 0.99	0.86	0.17	asserted 1.00
s6	The phenomenological implications of the model are analyzed in datail.	contribution 0.95	0.84	0.05	asserted 0.88

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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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 construct a supersymmetric (SUSY) $SU(5)$ model with the flavor symmetry $S_4\times Z_3\times Z_4$. Three generations of adjoint matter fields are introduced to generate the neutrino masses via the combined type I and type III see-saw mechanism. The first two generations of the the $\mathbf{10}$ dimensional representation in $SU(5)$ are assigned to be a doublet of $S_4$, the second family $\mathbf{10}$ is chose as the first component of the doublet, and the first family as the second component. Tri-bimaximal mixing in the neutrino sector is predicted exactly at leading order, charged lepton mixing leads to small deviation from the tri-bimaximal mixing pattern. Subleading contributions introduce corrections of order $\lambda^2_c$ to all three lepton mixing angles. The model also reproduces a realistic pattern of quark and charged lepton masses and quark mixings. The phenomenological implications of the model are analyzed in datail.

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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

Modular $S_4\times SU(5)$ GUT
hep-ph 2021-03 conditional novelty 5.0 of 10

Replacing flavons with modular forms at fixed points reproduces the features of an S4 x SU(5) GUT and fixes the Littlest Seesaw parameter to n = 1+sqrt(6) approximately 3.45.
The Future of Lepton Flavor
hep-ph 2026-06 unverdicted novelty 4.0 of 10

Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
Neutrino Mass and Mixing: from Theory to Experiment
hep-ph 2014-02 accept novelty 3.0 of 10

A structured review of discrete non-Abelian family symmetries in neutrino physics, covering finite-group theory, model-building strategies (flavons vs multi-Higgs, direct vs indirect), and the mixing and mass sum rule...

How the literature uses it

9 arXiv papers cite this in 10 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 · 8 sentences without a confident label

Cites it as background 2 papers

For an introduction to the group theory of $S_4$ we refer to Refs. [ref] , the same conventions for the $S_4$ representation matrix and Clebsch-Gordan coefficient are used in this work.

Renormalization Group Running of Lepton Mixing Parameters in See-Saw Models with $S_4$ Flavor Symmetry · Variants of the Two $S_4$ Models · 0.99
There also appeared the $S_4$ flavor model in $SU(5)$ SUSY GUT [ref] and the Pati-Salam SUSY GUT [ref] , taking account of the next-to-leading order of mass operators.

Slepton Mass Matrices, mu -> e gamma Decay and EDM in SUSY S4 Flavor Model · Introduction · 0.85

What it cites · 58 sentences without a confident label

Uses the method or tool of 1 paper

In the following, we shall follow the method of Ref. [ref] to analyze the light neutrino mass spectrum in detail.

Flavor symmetries, leptogenesis and the absolute neutrino mass scale · Neutrino sector · 1.00

Compares with 3 papers

It is remarkable that Eq.([ref]) belongs to a set of well-known leptonic mixing sum rules [ref] , and the same results have been obtained in Ref. [ref] .

A SUSY GUT of Flavour with S4 x SU(5) to NLO · Down type quarks and charged leptons sector · 0.91
It is remarkable that Eq.([ref]) belongs to a set of well-known leptonic mixing sum rules [ref] , and the same results have been obtained in Ref. [ref] .

Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification · Down type quarks and charged leptons sector · 0.91
It is remarkable that Eq.([ref]) belongs to a set of well-known leptonic mixing sum rules [ref] , and the same results have been obtained in Ref. [ref] .

Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule · Down type quarks and charged leptons sector · 0.91

Cites as support 2 papers

Actually the exact TB mixing can be realized in the $S_4$ flavor model [ref] .

Fermion Masses and Mixings in a S4 Based Model · Introduction · 0.98
Actually the exact TB mixing can be realized in the $S_4$ flavor model [ref] .

Fermion Masses and Flavor Mixings in a Model with $S_4$ Flavor Symmetry · Introduction · 0.98

Cites as background 7 papers

We remark that some variants of $SU(5)×S_4$ flavor models have been proposed in Refs. [ref] , where three right handed neutrinos are introduced and the neutrino masses are generated via the type I see-saw mechanism.

A SUSY GUT of Flavour with S4 x SU(5) to NLO · Introduction · 0.80
We remark that some variants of $SU(5)×S_4$ flavor models have been proposed in Refs. [ref] , where three right handed neutrinos are introduced and the neutrino masses are generated via the type I see-saw mechanism.

S4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT · Introduction · 0.80
For a review of discrete flavor symmetry models, please see the Refs. [ref] .

Discrete Flavor Symmetries and Models of Neutrino Mixing · Introduction · 1.00

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