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Neutrino Mass Models
High Energy Physics - Phenomenology · Submitted 17 Oct 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This is a review article about neutrino mass models, particularly see-saw models involving three active neutrinos which are capable of describing both the atmospheric neutrino oscillation data, and the large mixing angle MSW solar solution, which is now uniquely specified by recent data.
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The abstract, sentence by sentence
This is a review article about neutrino mass models, particularly see-saw models involving three active neutrinos which are capable of describing both the atmospheric neutrino oscillation data, and the large mixing angle MSW solar solution, which is now uniquely specified by recent data. We briefly review the current experimental status, show how to parametrise and construct the neutrino mixing matrix, and present the leading order neutrino Majorana mass matrices. We then introduce the see-saw mechanism, and discuss a natural application of it to current data using the sequential dominance mechanism, which we compare to an early proposal for obtaining large mixing angles. We show how both the Standard Model and the Minimal Supersymmetric Standard Model may be extended to incorporate the see-saw mechanism, and show how the latter case leads to the expectation of lepton flavour violation. The see-saw mechanism motivates models with additional symmetries such as unification and family symmetry models, and we tabulate some possible models, before focussing on two particular examples based on SO(10) grand unification and either U(1) or SU(3) family symmetry as specific examples. The article contains extensive appendices which include techniques for analytically diagonalising different types of mass matrices involving two large mixing angles and one small mixing angle, to leading order in the small mixing angle.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | This is a review article about neutrino mass models, particularly see-saw models involving three active neutrinos which are capable of describing both the atmospheric neutrino oscillation data, and the large mixing angle MSW solar solution, which is now uniquely specified by recent data. | background 0.58 | 0.07 | 0.14 | asserted 0.94 |
| s1 | We briefly review the current experimental status, show how to parametrise and construct the neutrino mixing matrix, and present the leading order neutrino Majorana mass matrices. | contribution 0.81 | 0.67 | 0.05 | asserted 0.96 |
| s2 | We then introduce the see-saw mechanism, and discuss a natural application of it to current data using the sequential dominance mechanism, which we compare to an early proposal for obtaining large mixing angles. | contribution 0.66 | 0.56 | 0.08 | asserted 0.90 |
| s3 | We show how both the Standard Model and the Minimal Supersymmetric Standard Model may be extended to incorporate the see-saw mechanism, and show how the latter case leads to the expectation of lepton flavour violation. | contribution 0.64 | 0.56 | 0.07 | hedged possibility 0.54 |
| s4 | The see-saw mechanism motivates models with additional symmetries such as unification and family symmetry models, and we tabulate some possible models, before focussing on two particular examples based on SO(10) grand unification and either U(1) or SU(3) family symmetry as specific examples. | contribution 0.89 | 0.51 | 0.07 | asserted 0.66 |
| s5 | The article contains extensive appendices which include techniques for analytically diagonalising different types of mass matrices involving two large mixing angles and one small mixing angle, to leading order in the small mixing angle. | contribution 0.78 | 0.65 | 0.03 | asserted 1.00 |
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The paper
Original abstract
This is a review article about neutrino mass models, particularly see-saw models involving three active neutrinos which are capable of describing both the atmospheric neutrino oscillation data, and the large mixing angle MSW solar solution, which is now uniquely specified by recent data. We briefly review the current experimental status, show how to parametrise and construct the neutrino mixing matrix, and present the leading order neutrino Majorana mass matrices. We then introduce the see-saw mechanism, and discuss a natural application of it to current data using the sequential dominance mechanism, which we compare to an early proposal for obtaining large mixing angles. We show how both the Standard Model and the Minimal Supersymmetric Standard Model may be extended to incorporate the see-saw mechanism, and show how the latter case leads to the expectation of lepton flavour violation. The see-saw mechanism motivates models with additional symmetries such as unification and family symmetry models, and we tabulate some possible models, before focussing on two particular examples based on SO(10) grand unification and either U(1) or SU(3) family symmetry as specific examples. The article contains extensive appendices which include techniques for analytically diagonalising different types of mass matrices involving two large mixing angles and one small mixing angle, to leading order in the small mixing angle.
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References
How the literature uses it
57 arXiv papers cite this in 65 sentences
Papers citing it · 15 sentences without a confident label
Uses its data or values 1 paper
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The atmospheric data is statistically dominated by the Super-Kamiokande results and the latest reported data sample leads to (Ref [ref] ): [equation]
Neutrino Oscillations and Mass Models · Two state atmospheric neutrino mixing · 0.97
Cites it as background 43 papers
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Due to the VEVs (see section [ref]), one can generate mass matrices for charged leptons ($M_l$), Dirac neutrinos ($M_D$) and right handed Majorana neutrinos as [equation] [equation] Here, seesaw frameworks, particularly type-I [ref] and type-II [ref] , used besides several other methods to explain small neutrino masses.
Particle Swarm Optimization Based Analysis to Unlocking the Neutrino Mass Puzzle using $A_{4}\times Z_{3}\times Z_{10}$ Flavor Symmetry · Mass matrices of charged lepton and neutrino · 0.97
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There are several models which naturally produce very small neutrino masses, for example the SeeSaw type models [ref] or Radiative mass models [ref] that produce masses via loop corrections which are naturally small.
Torsional four-fermion interaction for Majorana neutrinos · Introduction · 0.96
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These difficulties can be overcome by several BSM models [ref] ; among them, the Large Extra Dimensions (LED) theory [ref] not only provides a viable framework but also supply an explanation for the enormous difference between the Electroweak and the Planck scale [ref] .
Exploring new physics with DUNE high energy flux: the case of Lorentz Invariance Violation, Large Extra Dimensions and Long Range Forces · The Large Extra Dimensions case · 0.95
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