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From Hierarchical to Partially Degenerate Neutrinos via Type II Upgrade of Type I See-Saw Models
High Energy Physics - Phenomenology · Submitted 11 Feb 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We propose a type II upgrade of type I see-saw models leading to new classes of models where partially degenerate neutrinos are as natural as hierarchical ones.
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The abstract, sentence by sentence
We propose a type II upgrade of type I see-saw models leading to new classes of models where partially degenerate neutrinos are as natural as hierarchical ones. The additional type II contribution to the neutrino mass matrix, which determines the neutrino mass scale, is forced to be proportional to the unit matrix by a SO(3) flavour symmetry. The type I see-saw part of the neutrino mass matrix, which controls the mass squared differences and mixing angles, may be governed by sequential right-handed neutrino dominance and a natural alignment for the SO(3)-breaking vacuum. We focus on classes of models with bi-large mixing originating from the neutrino mass matrix although we also briefly discuss other classes of models where large mixing stems from the charged lepton mass matrix. We study renormalization group corrections to the neutrino mass squared differences and mixings and find that the low energy values do not depend sensitively on the high energy values for partially degenerate neutrinos with a mass scale up to about 0.15 eV. Our scenario predicts the effective mass for neutrinoless double beta decay to be approximately equal to the neutrino mass scale and therefore neutrinoless double beta decay will be observable if the neutrino mass spectrum is partially degenerate. We also find that all observable CP phases as well as $\theta_{13}$ become small as the neutrino mass scale increases.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a type II upgrade of type I see-saw models leading to new classes of models where partially degenerate neutrinos are as natural as hierarchical ones. | contribution 1.00 | 0.87 | 0.65 | asserted 0.81 |
| s1 | The additional type II contribution to the neutrino mass matrix, which determines the neutrino mass scale, is forced to be proportional to the unit matrix by a SO(3) flavour symmetry. | method 0.69 | 0.54 | 0.08 | asserted 1.00 |
| s2 | The type I see-saw part of the neutrino mass matrix, which controls the mass squared differences and mixing angles, may be governed by sequential right-handed neutrino dominance and a natural alignment for the SO(3)-breaking vacuum. | method 0.85 | 0.30 | 0.05 | hedged possibility 1.00 |
| s3 | We focus on classes of models with bi-large mixing originating from the neutrino mass matrix although we also briefly discuss other classes of models where large mixing stems from the charged lepton mass matrix. | contribution 0.90 | 0.72 | 0.07 | asserted 0.96 |
| s4 | We study renormalization group corrections to the neutrino mass squared differences and mixings and find that the low energy values do not depend sensitively on the high energy values for partially degenerate neutrinos with a mass scale up to about 0.15 eV. | result 0.97 | 0.96 | 0.09 | asserted 1.00 |
| s5 | Our scenario predicts the effective mass for neutrinoless double beta decay to be approximately equal to the neutrino mass scale and therefore neutrinoless double beta decay will be observable if the neutrino mass spectrum is partially degenerate. | result 0.51 | 0.87 | 0.27 | asserted 0.95 |
| s6 | We also find that all observable CP phases as well as $\theta_{13}$ become small as the neutrino mass scale increases. | result 1.00 | 0.95 | 0.08 | asserted 1.00 |
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The paper
Original abstract
We propose a type II upgrade of type I see-saw models leading to new classes of models where partially degenerate neutrinos are as natural as hierarchical ones. The additional type II contribution to the neutrino mass matrix, which determines the neutrino mass scale, is forced to be proportional to the unit matrix by a SO(3) flavour symmetry. The type I see-saw part of the neutrino mass matrix, which controls the mass squared differences and mixing angles, may be governed by sequential right-handed neutrino dominance and a natural alignment for the SO(3)-breaking vacuum. We focus on classes of models with bi-large mixing originating from the neutrino mass matrix although we also briefly discuss other classes of models where large mixing stems from the charged lepton mass matrix. We study renormalization group corrections to the neutrino mass squared differences and mixings and find that the low energy values do not depend sensitively on the high energy values for partially degenerate neutrinos with a mass scale up to about 0.15 eV. Our scenario predicts the effective mass for neutrinoless double beta decay to be approximately equal to the neutrino mass scale and therefore neutrinoless double beta decay will be observable if the neutrino mass spectrum is partially degenerate. We also find that all observable CP phases as well as $\theta_{13}$ become small as the neutrino mass scale increases.
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References
How the literature uses it
10 arXiv papers cite this in 12 sentences
Papers citing it · 10 sentences without a confident label
Cites it as background 2 papers
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We shall not specify how this breaking occurs [ref] .
Quasi-degenerate neutrinos in SO(10) · Numerical Fits: Type-II seesaw · 0.93
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An upgraded approach has been pursued with the use of the $SO(3)$ [ref] and $SU(3)$ [ref] symmetries, which account for all the three generations.
Phenomenology of Discrete Flavour Symmetries · Flavour Symmetry Overview · 0.86
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