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Predictivity of Neutrino Mass Sum Rules
High Energy Physics - Phenomenology · Submitted 15 Jun 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We therefore establish the predictivity of neutrino mass sum rules on a level far more general than previously known.
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The abstract, sentence by sentence
Correlations between light neutrino observables are arguably the strongest predictions of lepton avour models based on (discrete) symmetries, except for the very few cases which unambiguously predict the full set of leptonic mixing angles. A subclass of these correlations are neutrino mass sum rules, which connect the three (complex) light neutrino mass eigenvalues among each other. This connection constrains both the light neutrino mass scale and the Majorana phases, so that mass sum rules generically lead to a nonzero value of the lightest neutrino mass and to distinct predictions for the e ective mass probed in neutrinoless double beta decay. However, in nearly all cases known, the neutrino mass sum rules are not exact and receive corrections from various sources. We introduce a formalism to handle these corrections perturbatively in a model-independent manner, which overcomes issues present in earlier approaches. Our ansatz allows us to quantify the modi cation of the predictions derived from neutrino mass sum rules. We show that, in most cases, the predictions are fairly stable: while small quantitative changes can appear, they are generally rather mild. We therefore establish the predictivity of neutrino mass sum rules on a level far more general than previously known.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Correlations between light neutrino observables are arguably the strongest predictions of lepton avour models based on (discrete) symmetries, except for the very few cases which unambiguously predict the full set of leptonic mixing angles. | background 1.00 | 0.06 | 0.04 | hedged possibility 0.65 |
| s1 | A subclass of these correlations are neutrino mass sum rules, which connect the three (complex) light neutrino mass eigenvalues among each other. | background 1.00 | 0.07 | 0.03 | asserted 1.00 |
| s2 | This connection constrains both the light neutrino mass scale and the Majorana phases, so that mass sum rules generically lead to a nonzero value of the lightest neutrino mass and to distinct predictions for the e ective mass probed in neutrinoless double beta decay. | background 0.94 | 0.14 | 0.06 | asserted 0.88 |
| s3 | However, in nearly all cases known, the neutrino mass sum rules are not exact and receive corrections from various sources. | background 0.61 | 0.06 | 0.03 | asserted 0.98 |
| s4 | We introduce a formalism to handle these corrections perturbatively in a model-independent manner, which overcomes issues present in earlier approaches. | contribution 0.61 | 0.95 | 0.06 | asserted 1.00 |
| s5 | Our ansatz allows us to quantify the modi cation of the predictions derived from neutrino mass sum rules. | contribution 0.61 | 0.86 | 0.07 | asserted 0.87 |
| s6 | We show that, in most cases, the predictions are fairly stable: while small quantitative changes can appear, they are generally rather mild. | result 0.96 | 0.90 | 0.22 | asserted 0.91 |
| s7 | We therefore establish the predictivity of neutrino mass sum rules on a level far more general than previously known. | interpretation 0.77 | 0.92 | 0.91 | asserted 1.00 |
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The paper
Original abstract
Correlations between light neutrino observables are arguably the strongest predictions of lepton avour models based on (discrete) symmetries, except for the very few cases which unambiguously predict the full set of leptonic mixing angles. A subclass of these correlations are neutrino mass sum rules, which connect the three (complex) light neutrino mass eigenvalues among each other. This connection constrains both the light neutrino mass scale and the Majorana phases, so that mass sum rules generically lead to a nonzero value of the lightest neutrino mass and to distinct predictions for the e ective mass probed in neutrinoless double beta decay. However, in nearly all cases known, the neutrino mass sum rules are not exact and receive corrections from various sources. We introduce a formalism to handle these corrections perturbatively in a model-independent manner, which overcomes issues present in earlier approaches. Our ansatz allows us to quantify the modi cation of the predictions derived from neutrino mass sum rules. We show that, in most cases, the predictions are fairly stable: while small quantitative changes can appear, they are generally rather mild. We therefore establish the predictivity of neutrino mass sum rules on a level far more general than previously known.
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References
How the literature uses it
15 arXiv papers cite this in 23 sentences
Papers citing it · 15 sentences without a confident label
Compares with it 2 papers
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They indicate the existence of a lower bound for the decay rate, a feature also encountered in other flavor models [ref] .
Predictive Pati-Salam theory of fermion masses and mixing · Discussions and Conclusions · 0.81
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The advantage of our approach is that we can immediately compare the result to other sum rules derived here or already present in the literature like in [ref] .
Leptonic Sum Rules from Flavour Models with Modular Symmetries · A model with two modular $S_4$ groups · 0.96
Cites it as background 5 papers
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These relationships are known as lepton (or neutrino) mixing sum rules and have been illustrated in various references [ref] .
Exploring Models with Modular Symmetry in Neutrino Oscillation Experiments · INTRODUCTION · 0.97
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Two different correlations between neutrino observables exist in models with discrete symmetries: neutrino mass sum rules (for early papers see [ref] , for reviews see [ref] ), which, in the case of three neutrino mixing, involve the three light neutrino masses and the two Majorana CPV phases [ref] of the PMNS neutrino mixing matrix, and leptonic mixing sum rules which relate the leptonic mixing angles and the Dirac CPV phase, for some early papers with such an explicit connection, see, e.g., [ref] and for some more recent reviews and systematic studies see, e.g., [ref] .
Leptonic Sum Rules from Flavour Models with Modular Symmetries · Introduction · 0.90
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For recent detailed phenomenological studies of the mass sum rules, see [ref] .
Neutrino Mass Sum Rules and Symmetries of the Mass Matrix · Introduction · 0.98
What it cites · 34 sentences without a confident label
Contests 3 papers
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The only attempt to investigate approximate sum rules that we are aware of had been presented in Ref. [ref] , however, it had been pointed out [ref] that the approach in that reference is likely to be insufficient because the corrections have been attributed to one particular mass eigenvalue only, namely $m_3$.
Neutrino Mass Sum-rules in Flavor Symmetry Models · Introduction · contest 0.80
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The only attempt to investigate approximate sum rules that we are aware of had been presented in Ref. [ref] , however, it had been pointed out [ref] that the approach in that reference is likely to be insufficient because the corrections have been attributed to one particular mass eigenvalue only, namely $m_3$.
The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments · Introduction · contest 0.80
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The only attempt to investigate approximate sum rules that we are aware of had been presented in Ref. [ref] , however, it had been pointed out [ref] that the approach in that reference is likely to be insufficient because the corrections have been attributed to one particular mass eigenvalue only, namely $m_3$.
Renormalisation Group Corrections to Neutrino Mass Sum Rules · Introduction · contest 0.80
Compares with 1 paper
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Starting with IO, the allowed region again broadens, however, while a new edgy corner had appeared for the RGE-corrections, see Sec. 4.7 for SR 7 in Ref. [ref] , in the case of approximate SRs the band simply broadens.
Renormalisation Group Corrections to Neutrino Mass Sum Rules · Neutrinoless double beta decay · 0.98
Cites as background 13 papers
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The probably most comprehensive study of SRs, which includes all known cases we are aware of, had been presented in Ref. [ref] .
The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments · Introduction · 0.92
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Among these correlations, the most popular ones discussed in the literature are mixing angle sum rules [ref] ; but, when looking at the total mass matrix of neutrinos, a second class of correlations arises, neutrino mass sum rules.
Testing atmospheric mixing sum rules at precision neutrino facilities · Introduction · 0.86
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In [ref] we have investigated the effect of renormalisation group corrections to neutrino mass SRs.
Renormalisation Group Corrections to Neutrino Mass Sum Rules · Parametrisation and geometrical interpretation · 0.82
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