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Restricting Majorana phases in the Tri-Bi-Maximal limit
High Energy Physics - Phenomenology · Submitted 30 Sep 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the predicted values lead to sharped regions for the neutrinoless double beta decay amplitude, in the selected cases, that could be tested with forthcoming results.
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The abstract, sentence by sentence
The Tri-Bi-Maximal pattern has been long investigated as the symmetric scenario that lies behind the neutrino mixing matrix. It predicts a null reactor angle and hence forbids $CP$ violation in the lepton sector, which is in contrast to the current experimental determinations. We explore different deviations from this pattern to restore the compatibility with the latest fits of neutrino mixing parameters. We consider two unitary matrices to correct the symmetric pattern, each of them is written in terms of one single angle and one complex phase, which will be constrained by the experimental mixings and from symmetry restrictions in the mass matrix. We note that these correction parameters would allow us to obtain simultaneous information about the Dirac and Majorana $CP$ phases in some specific scenarios. We show that the predicted values lead to sharped regions for the neutrinoless double beta decay amplitude, in the selected cases, that could be tested with forthcoming results.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The Tri-Bi-Maximal pattern has been long investigated as the symmetric scenario that lies behind the neutrino mixing matrix. | background 1.00 | 0.04 | 0.02 | asserted 0.99 |
| s1 | It predicts a null reactor angle and hence forbids $CP$ violation in the lepton sector, which is in contrast to the current experimental determinations. | background 0.89 | 0.08 | 0.05 | asserted 1.00 |
| s2 | We explore different deviations from this pattern to restore the compatibility with the latest fits of neutrino mixing parameters. | contribution 0.97 | 0.85 | 0.06 | asserted 0.87 |
| s3 | We consider two unitary matrices to correct the symmetric pattern, each of them is written in terms of one single angle and one complex phase, which will be constrained by the experimental mixings and from symmetry restrictions in the mass matrix. | method 0.94 | 0.87 | 0.07 | asserted 0.97 |
| s4 | We note that these correction parameters would allow us to obtain simultaneous information about the Dirac and Majorana $CP$ phases in some specific scenarios. | interpretation 0.63 | 0.71 | 0.19 | hedged possibility 0.90 |
| s5 | We show that the predicted values lead to sharped regions for the neutrinoless double beta decay amplitude, in the selected cases, that could be tested with forthcoming results. | result 0.87 | 0.92 | 0.54 | asserted 0.52 |
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The paper
Original abstract
The Tri-Bi-Maximal pattern has been long investigated as the symmetric scenario that lies behind the neutrino mixing matrix. It predicts a null reactor angle and hence forbids $CP$ violation in the lepton sector, which is in contrast to the current experimental determinations. We explore different deviations from this pattern to restore the compatibility with the latest fits of neutrino mixing parameters. We consider two unitary matrices to correct the symmetric pattern, each of them is written in terms of one single angle and one complex phase, which will be constrained by the experimental mixings and from symmetry restrictions in the mass matrix. We note that these correction parameters would allow us to obtain simultaneous information about the Dirac and Majorana $CP$ phases in some specific scenarios. We show that the predicted values lead to sharped regions for the neutrinoless double beta decay amplitude, in the selected cases, that could be tested with forthcoming results.
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References
How the literature uses it
2 arXiv papers cite this in 2 sentences
What it cites · 32 sentences without a confident label
Uses the method or tool of 2 papers
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In the same way as the experimental angles, the breaking parameters can also be obtained from the matrix elements of Eq. ([ref]), namely [ref] [equation] Following the approach in Ref. [ref] , an approximate $μ-τ$ symmetric mass matrix is defined if we asked for $|δ̂| , |ϵ̂| ≪1$.
How good is \mu-\tau symmetry after results on non-zero \theta_{13}? · $μ- τ$ symmetry in the mass matrix · 0.88
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In the same way as the experimental angles, the breaking parameters can also be obtained from the matrix elements of Eq. ([ref]), namely [ref] [equation] Following the approach in Ref. [ref] , an approximate $μ-τ$ symmetric mass matrix is defined if we asked for $|δ̂| , |ϵ̂| ≪1$.
Generating $\theta_{13}$ from sterile neutrinos in $\mu - \tau$ symmetric models · $μ- τ$ symmetry in the mass matrix · 0.88
Uses data or values from 1 paper
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For our numerical inputs, we use the results of the latest global fit of the various neutrino oscillation experiments from [ref] .
Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity · Numerical Analysis · 1.00
Compares with 2 papers
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We can observe that when small deviations from the $μ-τ$ symmetric mass matrix are required in the general and $σ^'=0$ cases, these regions are reduced to the quasi-degenerate mass hierarchy regime, which is consistent with previous parametrization independent analysis [ref] .
How good is \mu-\tau symmetry after results on non-zero \theta_{13}? · Case $U_12U_13$ · 0.81
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We can observe that when small deviations from the $μ-τ$ symmetric mass matrix are required in the general and $σ^'=0$ cases, these regions are reduced to the quasi-degenerate mass hierarchy regime, which is consistent with previous parametrization independent analysis [ref] .
Leptonic CP phases near the $\mu-\tau$ symmetric limit · Case $U_12U_13$ · 0.81
Cites as background 30 papers
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Concerning the $μ-τ$ symmetry, some deviations from the TBM pattern have been investigated in order to fit the experimental results [ref] .
Predicting Leptonic CP phase by considering deviations in charged lepton and neutrino sectors · Introduction · 0.84
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Concerning the $μ-τ$ symmetry, some deviations from the TBM pattern have been investigated in order to fit the experimental results [ref] .
Corrections for tribimaximal, bimaximal and democratic neutrino mixing matrices · Introduction · 0.84
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Concerning the $μ-τ$ symmetry, some deviations from the TBM pattern have been investigated in order to fit the experimental results [ref] .
Predicting CP violation in Deviation from Tri-bimaximal mixing of Neutrinos · Introduction · 0.84
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