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Inverse neutrino mass hierarchy in a flavour GUT model
High Energy Physics - Phenomenology · Submitted 17 Jun 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim From a Markov Chain Monte Carlo fit we find that the inverse hierarchy model is in excellent agreement with the present experimental data.
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The paper's own sentences, arranged. 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.
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The abstract, sentence by sentence
We construct a supersymmetric SU(5) x A_4 flavour GUT model in which an inverse neutrino mass hierarchy is realised without fine-tuning of parameters. The model shares some properties with the normal hierarchy model which we presented in arXiv:1305.6612 - in particular the relation theta_13^PMNS = theta_C / sqrt(2). Besides these shared features, there are also important differences, mainly due to the different neutrino sector. These differences not only change the predictions in the lepton sector, but also in the quark sector, and will allow to discriminate between the two models using the results of present and future experiments. From a Markov Chain Monte Carlo fit we find that the inverse hierarchy model is in excellent agreement with the present experimental data.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct a supersymmetric SU(5) x A_4 flavour GUT model in which an inverse neutrino mass hierarchy is realised without fine-tuning of parameters. | contribution 1.00 | 0.96 | 0.52 | asserted 1.00 |
| s1 | The model shares some properties with the normal hierarchy model which we presented in arXiv:1305.6612 - in particular the relation theta_13^PMNS = theta_C / sqrt(2). | background 0.54 | 0.53 | 0.07 | asserted 0.99 |
| s2 | Besides these shared features, there are also important differences, mainly due to the different neutrino sector. | interpretation 0.43 | 0.27 | 0.04 | asserted 0.99 |
| s3 | These differences not only change the predictions in the lepton sector, but also in the quark sector, and will allow to discriminate between the two models using the results of present and future experiments. | interpretation 0.93 | 0.48 | 0.12 | asserted 0.70 |
| s4 | From a Markov Chain Monte Carlo fit we find that the inverse hierarchy model is in excellent agreement with the present experimental data. | result 0.99 | 0.96 | 0.55 | asserted 1.00 |
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The paper
Original abstract
We construct a supersymmetric SU(5) x A_4 flavour GUT model in which an inverse neutrino mass hierarchy is realised without fine-tuning of parameters. The model shares some properties with the normal hierarchy model which we presented in arXiv:1305.6612 - in particular the relation theta_13^PMNS = theta_C / sqrt(2). Besides these shared features, there are also important differences, mainly due to the different neutrino sector. These differences not only change the predictions in the lepton sector, but also in the quark sector, and will allow to discriminate between the two models using the results of present and future experiments. From a Markov Chain Monte Carlo fit we find that the inverse hierarchy model is in excellent agreement with the present experimental data.
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How the literature uses it
11 arXiv papers cite this in 19 sentences
Papers citing it · 18 sentences without a confident label
Cites it as background 1 paper
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In general, there has been lot of interest in the study of CP violation in the context of discrete flavour groups, with CP symmetries now being frequently employed together with flavour groups in the context of models explaining fermion masses and mixing [ref] .
Towards realistic models of quark masses with geometrical CP violation · Introduction · 0.97
What it cites · 17 sentences without a confident label
Uses the method or tool of 5 papers
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We perform the numerical analysis in a similar way as in Ref. [ref] .
A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2) · Phenomenology · 1.00
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We set $tanβ=40$ and include the $tanβ$-enhanced SUSY threshold corrections [ref] at the matching scale of the MSSM to the Standard Model (SM), which are given by the approximate relations [equation] in the basis where $Y_u$ is diagonal.
The Top Quark Mass in Supersymmetric SO(10) Unification · Phenomenology · 0.91
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We set $tanβ=40$ and include the $tanβ$-enhanced SUSY threshold corrections [ref] at the matching scale of the MSSM to the Standard Model (SM), which are given by the approximate relations [equation] in the basis where $Y_u$ is diagonal.
Finite Supersymmetric Threshold Corrections to CKM Matrix Elements in the Large $tan\beta$ Regime · Phenomenology · 0.91
Uses data or values from 3 papers
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We use the Winter 2013 fit results of the UTfit collaboration [ref] for experimental data of the CKM parameters and the updated global fit results of the NuFIT collaboration [ref] for the lepton mixing observables.
Global fit to three neutrino mixing: critical look at present precision · Phenomenology · 1.00
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We use the Winter 2013 fit results of the UTfit collaboration [ref] for experimental data of the CKM parameters and the updated global fit results of the NuFIT collaboration [ref] for the lepton mixing observables.
The 2004 UTfit Collaboration Report on the Status of the Unitarity Triangle in the Standard Model · Phenomenology · 1.00
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The values of the charged lepton- and quark masses are taken from Ref. [ref] .
Updated Values of Running Quark and Lepton Masses · Phenomenology · 1.00
Compares with 3 papers
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We find $θ^_12 = 33.38^∘_-0.28^∘^+0.30^∘$, which lies within $1σ$ from the experimental values as reported in [ref] .
Global fit to three neutrino mixing: critical look at present precision · Results · 0.91
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Compared to $χ^2/d.o.f.=2.0$ in the fit of the normal hierarchy model of Ref. [ref] , we obtain an even better agreement with the measured observables.
A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2) · Results · 1.00
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While the result $θ^_23=39.06^∘_-1.32^∘^+1.33^∘$ is somewhat smaller than the currently reported experimental value in [ref] , the result $θ^_13 = 9.41^∘_-0.27^∘^+0.28^∘$ is slightly larger.
Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches · Results · 0.93
Cites as support 1 paper
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In order for the Clebsch-Gordan ratios $6$ and $-32$ to be viable, a large or moderate $tanβ$ is required [ref] .
New GUT predictions for quark and lepton mass ratios confronted with phenomenology · Phenomenology · 0.97
Cites as background 4 papers
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While the above questions are hard to answer in generality, of course, we aim to answer them at least for supersymmetric flavour GUT models with an SU($5$) gauge symmetry and an $A_4$ family symmetry [ref] , by constructing an example of a predictive and relatively simple IH model of this kind and comparing it to the model with a NH but otherwise similar properties which was presented in Ref. [ref] .
A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2) · Introduction · 0.90
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Furthermore, in contrast to NH models our model predicts a sizeable effective mass for neutrino-less double beta decay experiments of [equation] in reach of future experiments [ref] .
Neutrinoless double-beta decay. A brief review · Results · 0.84
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In this section, we outline our strategy[Other examples of SU(5) models with inverse hierarchy, following different approaches, have been constructed e.g. in [ref] .] for realising an inverse neutrino mass hierarchy in a simple way using discrete family symmetries, which can easily be embedded in SU(5) GUTs.
A SUSY SU(5)xT' Unified Model of Flavour with large \theta_{13} · Realising an inverted neutrino hierarchy · 0.81
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