Predictions from warped flavordynamics based on the $T'$ family group

Gui-Jun Ding; Jos\'E W. F. Valle; Jun-Nan Lu; Peng Chen

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Predictions from warped flavordynamics based on the $T'$ family group

Peng Chen, Gui-Jun Ding, Jun-Nan Lu, José W. F. Valle

High Energy Physics - Phenomenology · Submitted 5 Mar 2020

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

The authors' main claim Neutrino mass splittings, mixing parameters and the Dirac CP phase all arise from the type-I seesaw mechanism and are tightly correlated, leading to predictions for the neutrino oscillation parameters, as well as expected \znbb decay rates within reach of upcoming experiments.

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arXiv ID2003.02734 (version 2)

Pith IDMDWPQ6OT, Pith's permanent record of this paper and its review

CitationGui-Jun Ding, Jos\'E W. F. Valle, Jun-Nan Lu, Peng Chen. "Predictions from warped flavordynamics based on the $T'$ family group." arXiv:2003.02734 (2020). https://pith.science/paper/MDWPQ6OT

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.07 · mentions code or data availability 0.02.

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We propose a realistic theory of fermion masses and mixings using a five-dimensional warped scenario where all fermions propagate in the bulk and the Higgs field is localized on the IR brane. The assumed $T'$ flavor symmetry is broken on the branes by flavon fields, providing a consistent scenario where fermion mass hierarchies arise from adequate choices of the bulk mass parameters, while quark and lepton mixing angles are restricted by the family symmetry. Neutrino mass splittings, mixing parameters and the Dirac CP phase all arise from the type-I seesaw mechanism and are tightly correlated, leading to predictions for the neutrino oscillation parameters, as well as expected \znbb decay rates within reach of upcoming experiments. The scheme also provides a good global description of flavor observables in the quark 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	We propose a realistic theory of fermion masses and mixings using a five-dimensional warped scenario where all fermions propagate in the bulk and the Higgs field is localized on the IR brane.	contribution 0.86	0.79	0.10	asserted 0.84
s1	The assumed $T'$ flavor symmetry is broken on the branes by flavon fields, providing a consistent scenario where fermion mass hierarchies arise from adequate choices of the bulk mass parameters, while quark and lepton mixing angles are restricted by the family symmetry.	method 0.86	0.54	0.16	asserted 0.88
s2	Neutrino mass splittings, mixing parameters and the Dirac CP phase all arise from the type-I seesaw mechanism and are tightly correlated, leading to predictions for the neutrino oscillation parameters, as well as expected \znbb decay rates within reach of upcoming experiments.	result 0.89	0.75	0.49	asserted 0.99
s3	The scheme also provides a good global description of flavor observables in the quark sector.	result 0.90	0.81	0.17	asserted 0.97

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.60.

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Original abstract

We propose a realistic theory of fermion masses and mixings using a five-dimensional warped scenario where all fermions propagate in the bulk and the Higgs field is localized on the IR brane. The assumed $T'$ flavor symmetry is broken on the branes by flavon fields, providing a consistent scenario where fermion mass hierarchies arise from adequate choices of the bulk mass parameters, while quark and lepton mixing angles are restricted by the family symmetry. Neutrino mass splittings, mixing parameters and the Dirac CP phase all arise from the type-I seesaw mechanism and are tightly correlated, leading to predictions for the neutrino oscillation parameters, as well as expected \znbb decay rates within reach of upcoming experiments. The scheme also provides a good global description of flavor observables in the quark sector.

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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 invariant flavor model of $\rm A_4$ and hierarchical structures at nearby fixed points
hep-ph 2020-09 conditional novelty 6.0 of 10

A4 modular flavor models near fixed points of the modulus reproduce observed PMNS and CKM mixings and predict the sum of neutrino masses and leptonic CP phase.
Spontaneous CP violation by modulus $\tau$ in $A_4$ model of lepton flavors
hep-ph 2020-12 conditional novelty 4.0 of 10

Imposing generalized CP symmetry on a modular A4 lepton model forces the neutrino couplings real, so CP violation is sourced only by Re[τ], predicting δCP in [98°,110°] or [250°,262°] for normal hierarchy.
Quark and lepton flavors with common modulus $\tau$ in $A_4$ modular symmetry
hep-ph 2020-05 conditional novelty 4.0 of 10

A single A4 modular modulus near tau = i can fit quark and lepton masses and mixings, but only if the sum of neutrino masses is at least about 140 meV, above the 120 meV cosmological bound.

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33 arXiv papers cite this in 41 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 · 17 sentences without a confident label

Compares with it 2 papers

In sharp contrast with the warped flavordynamics scenario proposed in [ref] , where the family symmetries were postulated ab initio,

Scotogenic majorana neutrino masses in a predictive orbifold theory of flavour · Introduction · 0.90
In contrast to the warped flavordynamics picture suggested in [ref] , where family symmetries were imposed by hand,

Revamping Kaluza-Klein dark matter in an orbifold theory of flavor · Introduction · 0.91

Cites it as background 22 papers

As a result, there is a myriad of literature available utilizing finite modular groups, i.e., $Γ_2 ≃S_3$ [ref] , $Γ_3 (Γ_3^') ≃A_4 (A_4^')$ [ref] , $Γ_4 ≃S_4$ [ref] , $Γ_5 ≃A_5$ [ref] and $Γ_5^'≃A_5^'$ [ref] .

Neutrino phenomenology, W mass anomaly & muon $(g-2)$ in minimal type-III seesaw using $T^\prime$ modular symmetry · INTRODUCTION · 0.93
Phenomenological studies using modular forms for $Sp(2,ℤ)$ have been implemented in many works [ref] .

$Sp(6,Z)$ modular symmetry in flavor structures: quark flavor models and Siegel modular forms for $\widetilde{\Delta}(96)$ · Introduction · 0.93
Using them, phenomenological studies have been widely studied in many works [ref] .

The flavor structures on magnetized orbifold models and 4D modular symmetric models · Introduction · 0.83

What it cites · 30 sentences without a confident label

Uses the method or tool of 2 papers

In the present work we shall adopt the basis of [ref] .

Modular symmetry origin of texture zeros and quark lepton unification · Group Theory of $T^'$ · 0.87
In the present work we shall adopt the basis of [ref] .

Neutrino Masses and Mixing from Double Covering of Finite Modular Groups · Group Theory of $T^'$ · 0.87

Uses data or values from 3 papers

One can determine the expected ranges for the decay amplitude, taking into account the allowed neutrino oscillation parameters obtained from experiment [ref] .

Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity · Predictions for the absolute neutrino mass scale · 1.00
Thus we have [equation] In the following, we collect the Clebsch-Gordan coefficients for the decomposition of product representations in our basis, all the results are taken from [ref] .

Modular symmetry origin of texture zeros and quark lepton unification · Group Theory of $T^'$ · 0.89
Thus we have [equation] In the following, we collect the Clebsch-Gordan coefficients for the decomposition of product representations in our basis, all the results are taken from [ref] .

Neutrino Masses and Mixing from Double Covering of Finite Modular Groups · Group Theory of $T^'$ · 0.89

Compares with 3 papers

These should be compared with the recent limits from the KATRIN experiment [ref] , and the $95%$ confidence limit for the sum of neutrino masses set by the Planck collaboration [ref] .

1909.06048 · Predictions for the absolute neutrino mass scale · 0.95
These should be compared with the recent limits from the KATRIN experiment [ref] , and the $95%$ confidence limit for the sum of neutrino masses set by the Planck collaboration [ref] .

Planck 2018 results. VI. Cosmological parameters · Predictions for the absolute neutrino mass scale · 0.95
This is in sharp contrast with the warped standard model extension proposed in Ref. [ref] .

Warped flavor symmetry predictions for neutrino physics · Predictions for the absolute neutrino mass scale · 0.82

Cites as background 12 papers

This problem has only become trickier after the discovery of neutrino oscillations [ref] which implies not only the need for neutrino masses – and understanding their smallness with respect to the charged fermion masses – but also the need to understand why the pattern of neutrino mixing is so special when compared to that of quarks [ref] .

Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity · Introduction · 0.93
The $T'$ flavor symmetry has been studied in the literature [ref] .

Fermion Mass Hierarchies and Flavor Mixing from $T'$ Symmetry · theoretical Preliminaries · 1.00
The $T'$ flavor symmetry has been studied in the literature [ref] .

Simplified Renormalizable $T^{'}$ Model for Tribimaximal Mixing and Cabibbo Angle · theoretical Preliminaries · 1.00

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