RECORD
Lepton number violation in 331 models
High Energy Physics - Phenomenology · Submitted 21 Jul 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Yet, despite being an active research topic, the status of lepton number in 331 models has not been fully addressed in the literature, and furthermore many of the original proposals can not explain the observed neutrino masses.
The compiled record
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.
Open the compiled record
The abstract, sentence by sentence
Different models based on the extended $SU(3)_{C}\times SU(3)_{L}\times U(1)_{X}$ (331) gauge group have been proposed over the past four decades. Yet, despite being an active research topic, the status of lepton number in 331 models has not been fully addressed in the literature, and furthermore many of the original proposals can not explain the observed neutrino masses. In this paper we review the basic features of various 331 models, focusing on potential sources of lepton number violation. We then describe different modifications which can be made to the original models in order to accommodate neutrino (and charged lepton) masses.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Different models based on the extended $SU(3)_{C}\times SU(3)_{L}\times U(1)_{X}$ (331) gauge group have been proposed over the past four decades. | background 1.00 | 0.03 | 0.02 | asserted 1.00 |
| s1 | Yet, despite being an active research topic, the status of lepton number in 331 models has not been fully addressed in the literature, and furthermore many of the original proposals can not explain the observed neutrino masses. | gap 1.00 | 0.09 | 0.05 | asserted 1.00 |
| s2 | In this paper we review the basic features of various 331 models, focusing on potential sources of lepton number violation. | contribution 0.99 | 0.79 | 0.07 | asserted 0.86 |
| s3 | We then describe different modifications which can be made to the original models in order to accommodate neutrino (and charged lepton) masses. | contribution 0.93 | 0.78 | 0.06 | asserted 0.83 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
Different models based on the extended $SU(3)_{C}\times SU(3)_{L}\times U(1)_{X}$ (331) gauge group have been proposed over the past four decades. Yet, despite being an active research topic, the status of lepton number in 331 models has not been fully addressed in the literature, and furthermore many of the original proposals can not explain the observed neutrino masses. In this paper we review the basic features of various 331 models, focusing on potential sources of lepton number violation. We then describe different modifications which can be made to the original models in order to accommodate neutrino (and charged lepton) masses.
Human review
References
How the literature uses it
21 arXiv papers cite this in 28 sentences
Papers citing it · 15 sentences without a confident label
Cites it as support 1 paper
-
The answer is that such symmetry would also eliminate all lepton number violating terms from the PPF-S model [ref] .
Gauge vectors and double beta decay · Models based on the 331 group · 0.96
Cites it as background 12 papers
-
Several models with radiative generation of neutrino masses in the 3-3-1 scenario have been proposed in Refs. [ref] .
Radiative generation of neutrino masses in a 3-3-1 type model · Introduction · 0.95
-
Recently, the 3-3-1 models with various sources of lepton flavor violating couplings are used to investigate LFV decays [ref] .
Decays of CP-even Higgs bosons $H \rightarrow l_il_j$ in a 3-3-1 model with neutral leptons · Introduction · 0.98
-
The so-called quasi-Dirac neutrino scenario arises when the Lagrangian includes both Majorana and Dirac mass terms, but the Majorana terms are small, yet non-zero [ref] .
The Unknowns of the Diffuse Supernova Neutrino Background Hinder New Physics Searches · Quasi Dirac neutrinos · 1.00
What it cites · 36 sentences without a confident label
Contests 1 paper
-
Using the procedure outlined above for the SVS model, the PPF model with the interactions described in [ref] preserves the $U(1)_L$ symmetry under which the various fields have the charges indicated in table [ref], so there is no explicit lepton number violation in the model as written down in [ref] .
$SU(3)\otimes U(1)$ Model for Electroweak Interactions · The Pisano-Pleitez-Frampton (PPF) model · contest 0.85
Compares with 4 papers
-
However, the $1/√(2)$ factors cannot be absorbed, so the expression in equation ([ref]) for the sextet differs in a material way from the one used in [ref] , for example, agreeing instead with [ref] .[Without these $1/√(2)$ factors, it is easy to check that a mass term $Tr(6^†6)$ will not correspond to the sum of the norm-squared of all six components.]
Neutrino mass mechanisms in 3-3-1 models: A short review · Appendix: decomposition of 331 representationstocsectionAppendix A: contractions and decomposition of 331 representation · 0.80
-
However, the $1/√(2)$ factors cannot be absorbed, so the expression in equation ([ref]) for the sextet differs in a material way from the one used in [ref] , for example, agreeing instead with [ref] .[Without these $1/√(2)$ factors, it is easy to check that a mass term $Tr(6^†6)$ will not correspond to the sum of the norm-squared of all six components.]
Radiative Seesaw in Minimal 3-3-1 Model · Appendix: decomposition of 331 representationstocsectionAppendix A: contractions and decomposition of 331 representation · 0.80
-
However, the $1/√(2)$ factors cannot be absorbed, so the expression in equation ([ref]) for the sextet differs in a material way from the one used in [ref] , for example, agreeing instead with [ref] .[Without these $1/√(2)$ factors, it is easy to check that a mass term $Tr(6^†6)$ will not correspond to the sum of the norm-squared of all six components.]
Generating Neutrino Mass in the 331 Model · Appendix: decomposition of 331 representationstocsectionAppendix A: contractions and decomposition of 331 representation · 0.80
Cites as background 46 papers
-
Following the generic framework of the SVS model, in 1992 a different 331 model was presented [ref] .
$SU(3)\otimes U(1)$ Model for Electroweak Interactions · The Pisano-Pleitez-Frampton (PPF) model · 0.95
-
These $SU(3)_C×SU(3)_L×U(1)_X$ (331) models have received considerable attention in connection with various topics: neutrino mass generation [ref] , flavour symmetries [ref] , quark flavour observables [ref] or the recent LHC diphoton excess [ref] , among others.
The 3-3-1 model with A_4 flavor symmetry · Introduction · 0.80
-
These $SU(3)_C×SU(3)_L×U(1)_X$ (331) models have received considerable attention in connection with various topics: neutrino mass generation [ref] , flavour symmetries [ref] , quark flavour observables [ref] or the recent LHC diphoton excess [ref] , among others.
The 3-3-1 model with S_4 flavor symmetry · Introduction · 0.80
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.