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Octant of $\theta_{23}$, MH, $0\nu\beta\beta$ decay and vacuum alignment of $ A_{4} $ flavour symmetry in an inverse seesaw model
High Energy Physics - Phenomenology · Submitted 24 Dec 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Recent global analysis has shown a preference for normal hierarchy and higher octant of $\theta_{23}$, and hence we discuss our results with reference to these, and find that the vacuum alignment of $A_4$ triplet flavon (1,-1,-1) favours these results.
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Measurements of disappearance channel of long baseline accelerator based experiments (like NO$\nu$A) are inflicted with the problem of octant degeneracy. In these experiments, the mass hierarchy (MH) sensitivity depends upon the value of CP-violating phase $\delta_{CP}$. Moreover, MH of light neutrino masses is still not fixed. Also, the flavour structure of fermions is yet not fully understood. We discuss all these issues, in a highly predictive, low-scale inverse seesaw (ISS) model within the framework of $A_4$ flavour symmetry. Recent global analysis has shown a preference for normal hierarchy and higher octant of $\theta_{23}$, and hence we discuss our results with reference to these, and find that the vacuum alignment of $A_4$ triplet flavon (1,-1,-1) favours these results. Finally, we check if our very precise prediction on $m_{ee}$ and the lightest neutrino mass falls within the range of sensitivities of the neutrinoless double beta decay ($0\nu\beta\beta$) experiments. We note that when octant of $\theta_{23}$ and MH is fixed by more precise measurements of future experiments, then through our results, it would be possible to precisely identify the favourable vacuum alignment corresponding to the $A_{4}$ triplet field as predicted in our model.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Measurements of disappearance channel of long baseline accelerator based experiments (like NO$\nu$A) are inflicted with the problem of octant degeneracy. | background 0.98 | 0.04 | 0.02 | asserted 1.00 |
| s1 | In these experiments, the mass hierarchy (MH) sensitivity depends upon the value of CP-violating phase $\delta_{CP}$. | background 0.99 | 0.07 | 0.02 | asserted 1.00 |
| s2 | Moreover, MH of light neutrino masses is still not fixed. | gap 0.66 | 0.04 | 0.02 | asserted 1.00 |
| s3 | Also, the flavour structure of fermions is yet not fully understood. | gap 0.53 | 0.03 | 0.01 | asserted 0.99 |
| s4 | We discuss all these issues, in a highly predictive, low-scale inverse seesaw (ISS) model within the framework of $A_4$ flavour symmetry. | contribution 0.93 | 0.75 | 0.07 | asserted 0.92 |
| s5 | Recent global analysis has shown a preference for normal hierarchy and higher octant of $\theta_{23}$, and hence we discuss our results with reference to these, and find that the vacuum alignment of $A_4$ triplet flavon (1,-1,-1) favours these results. | result 0.91 | 0.81 | 0.52 | asserted 0.99 |
| s6 | Finally, we check if our very precise prediction on $m_{ee}$ and the lightest neutrino mass falls within the range of sensitivities of the neutrinoless double beta decay ($0\nu\beta\beta$) experiments. | contribution 0.79 | 0.88 | 0.07 | asserted 0.82 |
| s7 | We note that when octant of $\theta_{23}$ and MH is fixed by more precise measurements of future experiments, then through our results, it would be possible to precisely identify the favourable vacuum alignment corresponding to the $A_{4}$ triplet field as predicted in our model. | interpretation 0.68 | 0.41 | 0.34 | hedged possibility 0.98 |
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The paper
Original abstract
Measurements of disappearance channel of long baseline accelerator based experiments (like NO$\nu$A) are inflicted with the problem of octant degeneracy. In these experiments, the mass hierarchy (MH) sensitivity depends upon the value of CP-violating phase $\delta_{CP}$. Moreover, MH of light neutrino masses is still not fixed. Also, the flavour structure of fermions is yet not fully understood. We discuss all these issues, in a highly predictive, low-scale inverse seesaw (ISS) model within the framework of $A_4$ flavour symmetry. Recent global analysis has shown a preference for normal hierarchy and higher octant of $\theta_{23}$, and hence we discuss our results with reference to these, and find that the vacuum alignment of $A_4$ triplet flavon (1,-1,-1) favours these results. Finally, we check if our very precise prediction on $m_{ee}$ and the lightest neutrino mass falls within the range of sensitivities of the neutrinoless double beta decay ($0\nu\beta\beta$) experiments. We note that when octant of $\theta_{23}$ and MH is fixed by more precise measurements of future experiments, then through our results, it would be possible to precisely identify the favourable vacuum alignment corresponding to the $A_{4}$ triplet field as predicted in our model.
Human review
How the literature uses it
3 arXiv papers cite this in 16 sentences
Papers citing it · 15 sentences without a confident label
Cites it as background 1 paper
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For the sake of thoroughness, we review here the inverse seesaw model [ref] , which was developed and studied in our earlier work [ref] .
Linking resonant leptogenesis with dynamics of the inverse seesaw theory with $ A_{4} $ flavor symmetry · Inverse seesaw model · 0.98
What it cites · 31 sentences without a confident label
Builds on 1 paper
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We would like to mention here that this work is an extension of our previous work [ref] .
A comparative study of type-II, inverse and linear seesaw mechanisms with $ A_{4} $ flavour symmetry · Introduction · 0.98
Uses the method or tool of 3 papers
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We solve these equations for different vacuum alignments of $υ_s(Φ_a, Φ_b, Φ_c)$, and have followed numerical analysis as in earlier works [ref] and [ref] .
Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry · Numerical method and results · 1.00
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We solve these equations for different vacuum alignments of $υ_s(Φ_a, Φ_b, Φ_c)$, and have followed numerical analysis as in earlier works [ref] and [ref] .
Constraining Type I Seesaw with $A_4$ Flavor Symmetry From Neutrino Data and Leptogenesis · Numerical method and results · 1.00
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We solve these equations for different vacuum alignments of $υ_s(Φ_a, Φ_b, Φ_c)$, and have followed numerical analysis as in earlier works [ref] and [ref] .
Compatibility of $A_{4}$ Flavour Symmetric Minimal Extended Seesaw with $(3+1)$ Neutrino Data · Numerical method and results · 1.00
Uses data or values from 5 papers
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We use data for $θ_12$, $θ_13$, $θ_23$ and $Δm_21^2$, $Δm_31^2$ and $Δm_23^2$ from the recent global fit data obtained from various neutrino oscillation experiments [ref] .
2020 Global reassessment of the neutrino oscillation picture · Numerical method and results · 1.00
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The current upper limits of $m_ββ$ are $m_0νββ <$ 104-228 meV by GERDA [ref] , $m_0νββ <$ 75-350 meV by CUORE [ref] experiment, and $m_0νββ <$ 61-165 meV by KamLAND-Zen experiment [ref] .
Improved Limit on Neutrinoless Double-Beta Decay in $^{130}$Te with CUORE · Implication of neutrino oscillation parameters on neutrinoless double beta decay · 1.00
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The current upper limits of $m_ββ$ are $m_0νββ <$ 104-228 meV by GERDA [ref] , $m_0νββ <$ 75-350 meV by CUORE [ref] experiment, and $m_0νββ <$ 61-165 meV by KamLAND-Zen experiment [ref] .
Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen · Implication of neutrino oscillation parameters on neutrinoless double beta decay · 1.00
Compares with 4 papers
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Latest global fit results from Ref. [ref] have been summarised in Table ([ref]), for comparison with our results.
2020 Global reassessment of the neutrino oscillation picture · Numerical method and results · 0.92
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Moreover, it is interesting to note that the preferred mass ordering as well as the range of lightest neutrino mass and that of $m_ee$ obtained for the allowed cases in our model lie within the range allowed from experiments such as GERDA [ref] , CUORE [ref] and KamLAND-Zen [ref] for $^76$Ge, for $^130$Te and for $^136$Xe respectively at $90%$ confidence level.
Improved Limit on Neutrinoless Double-Beta Decay in $^{130}$Te with CUORE · Discussion on Results · 0.93
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Moreover, it is interesting to note that the preferred mass ordering as well as the range of lightest neutrino mass and that of $m_ee$ obtained for the allowed cases in our model lie within the range allowed from experiments such as GERDA [ref] , CUORE [ref] and KamLAND-Zen [ref] for $^76$Ge, for $^130$Te and for $^136$Xe respectively at $90%$ confidence level.
Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen · Discussion on Results · 0.93
Cites as background 35 papers
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Several papers have discussed the current status of light neutrino oscillation parameters, and methods have been suggested earlier to resolve octant-MH degeneracy [ref] .
Potential of octant degeneracy resolution in JUNO · Introduction · 0.97
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Several papers have discussed the current status of light neutrino oscillation parameters, and methods have been suggested earlier to resolve octant-MH degeneracy [ref] .
Neutrino Oscillations at low energy long baseline experiments in the presence of nonstandard interactions and parameter degeneracy · Introduction · 0.97
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Several papers have discussed the current status of light neutrino oscillation parameters, and methods have been suggested earlier to resolve octant-MH degeneracy [ref] .
A comparative study between ESSnuSB and T2HK in determining the leptonic CP phase · Introduction · 0.97
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