Neutrino mixing from the double tetrahedral group T^{\prime}

Alfredo Aranda (Colima U.)

RECORD

Neutrino mixing from the double tetrahedral group T^{\prime}

Alfredo Aranda (Colima U.)

High Energy Physics - Phenomenology · Submitted 25 Jul 2007

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

The authors' main claim It is shown that it is possible to create successful models of flavor for both quarks and leptons using the discrete non-abelian group $T^{\prime}$ by itself.

how it is stated · hedged possibility 0.51 read the record →

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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. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,611 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.54 · compares with prior results 0.09 · mentions code or data availability 0.02.

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

It is shown that it is possible to create successful models of flavor for both quarks and leptons using the discrete non-abelian group $T^{\prime}$ by itself. Two simple realizations are presented that can be used as the starting point for more general scenarios. In addition to the Minimal Supersymmetric Standard Model particle content, the models include three generations of right handed neutrinos and four scalar flavon fields. Three of the flavons are needed in the quark and charged lepton sector of the models and the fourth flavon participates only in the neutrino sector.

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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	It is shown that it is possible to create successful models of flavor for both quarks and leptons using the discrete non-abelian group $T^{\prime}$ by itself.	result 0.72	0.90	0.89	hedged possibility 0.51
s1	Two simple realizations are presented that can be used as the starting point for more general scenarios.	contribution 0.89	0.89	0.06	asserted 0.91
s2	In addition to the Minimal Supersymmetric Standard Model particle content, the models include three generations of right handed neutrinos and four scalar flavon fields.	method 0.84	0.68	0.05	asserted 1.00
s3	Three of the flavons are needed in the quark and charged lepton sector of the models and the fourth flavon participates only in the neutrino sector.	method 0.82	0.79	0.05	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.91.

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

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S sections
T body sentences
C citations
R cross-paper relations

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

It is shown that it is possible to create successful models of flavor for both quarks and leptons using the discrete non-abelian group $T^{\prime}$ by itself. Two simple realizations are presented that can be used as the starting point for more general scenarios. In addition to the Minimal Supersymmetric Standard Model particle content, the models include three generations of right handed neutrinos and four scalar flavon fields. Three of the flavons are needed in the quark and charged lepton sector of the models and the fourth flavon participates only in the neutrino sector.

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References

Forward citations

Cited by 6 Pith papers

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

Flavor symmetries, leptogenesis and the absolute neutrino mass scale
hep-ph 2009-08 accept novelty 6.0 of 10

Flavor symmetries force leptogenesis CP asymmetries to vanish at leading order, and in a concrete A4 model this fixes the lightest neutrino mass and the neutrinoless double beta decay rate.
S4 as a natural flavor symmetry for lepton mixing
hep-ph 2008-11 conditional novelty 5.0 of 10

S4 flavor symmetry can generate exact tribimaximal lepton mixing through two distinct symmetry-breaking patterns, each realized in an explicit supersymmetric model with a flavon superpotential.
A 3-3-1 model with low scale seesaw mechanisms
hep-ph 2019-05 conditional novelty 4.0 of 10

A 3-3-1 gauge model with a T' family symmetry reproduces the observed quark and lepton masses and mixings, and predicts heavy W' and Z' bosons plus rare charged-lepton decays.
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).
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.

Show 1 more citing papers

Discrete Flavor Symmetries and Models of Neutrino Mixing
hep-ph 2010-02 accept novelty 1.0 of 10

A review of how A4, S4, and related discrete flavor groups can produce tri-bimaximal neutrino mixing at leading order, with small calculable corrections and testable predictions for theta13 and lepton flavor violation.

How the literature uses it

15 arXiv papers cite this in 16 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 8 papers

Both the quarks and leptons are assumed to transform as $2⊕1$ under $T'$ in Ref. [ref] .

Fermion Mass Hierarchies and Flavor Mixing from $T'$ Symmetry · introduction · 0.86
Several discrete groups have been employed in extensions of the SM, mostly discrete groups having triplet irreducible representations, such as $A_4$ [ref] , $S_3$ [ref] , $S_4$ [ref] , $D_4$ [ref] , $Q_6$ [ref] , $T_7$ [ref] , $T_13$ [ref] , $T^'$ [ref] , $Δ(27)$ [ref] and $A_5$ [ref] have been considered to explain the observed pattern of fermion masses and mixings.

A highly predictive $A_{4}$ flavour 3-3-1 model with radiative inverse seesaw mechanism · Introduction · 0.88
Recently, extensions of the SM with $A_4$ [ref] , $S_3$ [ref] , $S_4$ [ref] , $D_4$ [ref] , $T_7$ [ref] , $T_13$ [ref] , $T^'$ [ref] and $Δ(27)$ [ref] family symmetries have been considered to address the flavor puzzle of the SM.

A 3-3-1 model with right-handed neutrinos based on the $\Delta\left(27\right)$ family symmetry · Introduction · 0.97

What it cites · 11 sentences without a confident label

Contests 1 paper

Unfortunately this does not lead to good phenomenology [ref] .

Maximal Neutrino Mixing from a Minimal Flavor Symmetry · Introduction · contest 0.74

Cites as background 9 papers

For complete details regarding the group structure of $T^'$ see [ref] .

Maximal Neutrino Mixing from a Minimal Flavor Symmetry · Introduction · 0.98
In [ref] a supersymmetric model has been presented with the flavor symmetry $T^'⊗Z_3⊗U(1)_FN$ where the $T^'$ part of the model is responsible for the maximal mixing in the lepton sector.

Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry · Introduction · 0.85
It is possible to generate the so-called tribimaximal mixing matrix in a natural way and several specific models in the literature make use of this fact [ref] .

Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses · Introduction · 0.81

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