REVIEW
Lepton masses and mixings in a $A_{4}$ multi-Higgs model with radiative seesaw mechanism
High Energy Physics - Phenomenology · Submitted 24 Jul 2013 · 81 references
Pith's verdict: A competent A4 radiative-seesaw model whose one-phase mixing relation is the real content, but the vacuum alignment behind it is asserted more strongly than Appendix B actually derives.
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The paper
The paper claims
An A4 multi-Higgs model with a radiative seesaw reproduces all neutrino mixing angles and mass splittings with three effective parameters and predicts the neutrinoless double beta decay amplitude.
The reading
Extended reading notes
Core claim
The model reproduces all three neutrino mixing angles and both mass splittings with three effective parameters (A, B, phi), where a single phase phi controls all three angles through Eq. (28), and it predicts m_betabeta = 4 meV for normal ordering and 50 meV for inverted ordering (Eq. 39) together with a Jarlskog invariant J approximately 0 (Eq. 29). The load-bearing assertion is that the one-loop texture of Eq. (18), derived from the assumed vacuum alignment, is flexible enough to fit the global oscillation data while remaining over-determined by two degrees of freedom in the mixing sector.
Load-bearing premise
The assumed vacuum alignment in Eq. (12), with the A4 triplet singlet chi pointing in the (1, 0, -1) direction and the doublet Phi(2) in the (1, 1, 1) direction. Appendix B shows only that this configuration is a stationary point of the scalar potential consistent with a minimum for a region of parameter space (Eq. B8), not that it is the global minimum. The entire texture of Eq. (18), and therefore the mixing sum rule and the m_betabeta predictions, depend on this alignment. If the true minimum lies elsewhere, the texture changes and the predictions do not follow.
Original abstract
We propose a renormalizable multi-Higgs model with $A_{4}\otimes Z_{2}\otimes Z^{\prime}_{2}$ symmetry, accounting for the experimental deviation from the tribimaximal mixing pattern of the neutrino mixing matrix. In this framework we study the charged lepton and neutrino masses and mixings. The light neutrino masses are generated via a radiative seesaw mechanism, which involves a single heavy Majorana neutrino and neutral scalars running in the loops. The obtained neutrino mixings and mass squared splittings are in good agreement with the neutrino oscillation experimental data for both normal and inverted hierarchy. The model predicts an effective Majorana neutrino mass $m_{\beta\beta}=$ 4 meV and 50 meV for the normal and the inverted neutrino spectrum, respectively. The model also features a suppression of CP violation in neutrino oscillations, a low scale for the heavy Majorana neutrino (few TeV) and, due to the unbroken $Z_2$ symmetry, a natural dark matter candidate.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. 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.
The abstract, sentence by sentence
We propose a renormalizable multi-Higgs model with $A_{4}\otimes Z_{2}\otimes Z^{\prime}_{2}$ symmetry, accounting for the experimental deviation from the tribimaximal mixing pattern of the neutrino mixing matrix. In this framework we study the charged lepton and neutrino masses and mixings. The light neutrino masses are generated via a radiative seesaw mechanism, which involves a single heavy Majorana neutrino and neutral scalars running in the loops. The obtained neutrino mixings and mass squared splittings are in good agreement with the neutrino oscillation experimental data for both normal and inverted hierarchy. The model predicts an effective Majorana neutrino mass $m_{\beta\beta}=$ 4 meV and 50 meV for the normal and the inverted neutrino spectrum, respectively. The model also features a suppression of CP violation in neutrino oscillations, a low scale for the heavy Majorana neutrino (few TeV) and, due to the unbroken $Z_2$ symmetry, a natural dark matter candidate.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a renormalizable multi-Higgs model with $A_{4}\otimes Z_{2}\otimes Z^{\prime}_{2}$ symmetry, accounting for the experimental deviation from the tribimaximal mixing pattern of the neutrino mixing matrix. | contribution 0.99 | 0.89 | 0.17 | asserted 0.96 |
| s1 | In this framework we study the charged lepton and neutrino masses and mixings. | contribution 0.98 | 0.84 | 0.04 | asserted 0.75 |
| s2 | The light neutrino masses are generated via a radiative seesaw mechanism, which involves a single heavy Majorana neutrino and neutral scalars running in the loops. | method 0.95 | 0.49 | 0.08 | asserted 1.00 |
| s3 | The obtained neutrino mixings and mass squared splittings are in good agreement with the neutrino oscillation experimental data for both normal and inverted hierarchy. | result 0.98 | 0.90 | 0.40 | asserted 0.96 |
| s4 | The model predicts an effective Majorana neutrino mass $m_{\beta\beta}=$ 4 meV and 50 meV for the normal and the inverted neutrino spectrum, respectively. | result 1.00 | 0.89 | 0.21 | asserted 1.00 |
| s5 | The model also features a suppression of CP violation in neutrino oscillations, a low scale for the heavy Majorana neutrino (few TeV) and, due to the unbroken $Z_2$ symmetry, a natural dark matter candidate. | result 0.78 | 0.77 | 0.18 | asserted 1.00 |
What was examined, and what was not
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Figures
Figures reproduced from arXiv:1307.6499 by the authors.
References
How the literature uses it
54 arXiv papers cite this in 74 sentences
Papers citing it · 35 sentences without a confident label
Builds on it 1 paper
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We proposed a model based on the group $SU(5)⊗A_4⊗Z_2⊗Z_2^'⊗Z_2^''⊗U( 1) _f$, which is an extension of the model of Ref. [ref] .
Fermion masses and mixings in an $SU(5)$ grand unified model with an extra flavor symmetry · Conclusions · 1.00
Uses its method or tool 1 paper
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Following Ref [ref] we choose the quartic scalar couplings in the previous expression to be nearly universal, i.e., [equation] In practice, the coefficients need not be equal and indeed a nonzero $ε$ is required to generate two neutrino mass squared differences.
Fermion masses and mixings in an $SU(5)$ grand unified model with an extra flavor symmetry · Lepton masses and mixing · 0.80
Cites it as support 1 paper
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It has been shown in Ref. [ref] that the solution in Eqs. ([ref])-([ref]) does imply neither fine-tuning nor very large values of dimensionful parameters.
Fermion masses and mixings in an $SU(5)$ grand unified model with an extra flavor symmetry · Lepton masses and mixing · 0.99
Cites it as background 36 papers
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Thus a vast literature has recently arisen along this idea [ref] .
An Extended Colored Zee-Babu Model · Introduction · 0.97
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Due to the fascinating nature, there exists a vast number of papers along this idea [ref] .
Classically Conformal Radiative Neutrino Model with Gauged B-L Symmetry · Introduction · 0.99
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Following the landmarks [ref] , recently a variety of works on radiative seesaw model have been done [ref] – [ref] , where we can also find studies emphasizing non-Abelian discrete symmetry [ref] , radiative generation of quark/charged lepton masses [ref] , operator analysis [ref] , radiative models accompanying conformal EW symmetry breaking [ref] , and others [ref] .
Three Loop Neutrino Model with Isolated $k^{\pm\pm}$ · Introduction · 0.95
What it cites · 22 sentences without a confident label
Uses data or values from 2 papers
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We use the values from [ref] , shown in Tables [ref] and [ref], for the cases of normal and inverted hierarchy, respectively.
Global status of neutrino oscillation parameters after Neutrino-2012 · Introduction · 1.00
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The presently best upper limit on this parameter $m_ββ≤160$ meV comes from the recently quoted EXO-200 experiment [ref] $T^0νββ_1/2(^136Xe) ≥1.6 ×10^25$ yr at the 90 % CL.
Search for Neutrinoless Double-Beta Decay in $^{136}$Xe with EXO-200 · Phenomenological implications · 0.97
Compares with 3 papers
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The radiative seesaw mechanism has been discussed in Refs. [ref] in the context of a similar $A_4$ model, but with a field content quite different from ours: we introduce only one SM singlet Majorana neutrino instead of an $A_4$ triplet, with the lepton doublets as $A_4$ triplets, as in Ref. [ref] and many other models, but not as in Ref. [ref] , where they are assigned to $A_4$ singlets.
Non-zero $\theta_{13}$ and CP violation in a model with $A_4$ flavor symmetry · Introduction · 0.86
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The radiative seesaw mechanism has been discussed in Refs. [ref] in the context of a similar $A_4$ model, but with a field content quite different from ours: we introduce only one SM singlet Majorana neutrino instead of an $A_4$ triplet, with the lepton doublets as $A_4$ triplets, as in Ref. [ref] and many other models, but not as in Ref. [ref] , where they are assigned to $A_4$ singlets.
Spontaneous CP Violation in $A_4$ Flavor Symmetry and Leptogenesis · Introduction · 0.86
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Note that a similar neutrino mass matrix texture was obtained in Ref. [ref] from higher dimensional operators.
A(4) Flavor Symmetry Model for Dirac-Neutrinos and Sizable U(e3) · Lepton masses and mixing · 0.99
Cites as background 52 papers
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The vacuum $⟨Φ^( 2) ⟩$ is a configuration that preserves a $Z_3$ subgroup of $A_4$, which has been extensively studied by many authors (see for example Refs. [ref] ).
Constraining Flavour Symmetries At The EW Scale I: The A4 Higgs Potential · The Model · 0.88
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The vacuum $⟨Φ^( 2) ⟩$ is a configuration that preserves a $Z_3$ subgroup of $A_4$, which has been extensively studied by many authors (see for example Refs. [ref] ).
S_4 Flavored CP Symmetry for Neutrinos · The Model · 0.88
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The vacuum $⟨Φ^( 2) ⟩$ is a configuration that preserves a $Z_3$ subgroup of $A_4$, which has been extensively studied by many authors (see for example Refs. [ref] ).
Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry · The Model · 0.88
Discussion
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