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A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2)
High Energy Physics - Phenomenology · Submitted 28 May 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We propose a supersymmetric SU(5) GUT model with an A_4 family symmetry - including a full flavon- and messenger sector - which realises the relation theta_13^PMNS \simeq theta_C / sqrt(2).
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We propose a supersymmetric SU(5) GUT model with an A_4 family symmetry - including a full flavon- and messenger sector - which realises the relation theta_13^PMNS \simeq theta_C / sqrt(2). The neutrino sector features tri-bimaximal mixing, and theta_13^PMNS \simeq theta_C / sqrt(2) emerges from the charged lepton contribution to the PMNS matrix, which in turn is linked to quark mixing via specific GUT relations. These GUT relations arise after GUT symmetry breaking from a novel combination of group theoretical Clebsch-Gordan factors, which in addition to large theta_13^PMNS lead to promising quark lepton mass ratios for all generations of quarks and leptons and to m_s / m_d = 18.95_(-0.24)^(+0.33), in excellent agreement with experimental results. The model also features spontaneous CP violation, with all quark and lepton CP phases determined from family symmetry breaking. We perform a full Markov Chain Monte Carlo fit to the available quark and lepton data, and discuss how the model can be tested by present and future experiments.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a supersymmetric SU(5) GUT model with an A_4 family symmetry - including a full flavon- and messenger sector - which realises the relation theta_13^PMNS \simeq theta_C / sqrt(2). | contribution 1.00 | 0.93 | 0.77 | asserted 0.95 |
| s1 | The neutrino sector features tri-bimaximal mixing, and theta_13^PMNS \simeq theta_C / sqrt(2) emerges from the charged lepton contribution to the PMNS matrix, which in turn is linked to quark mixing via specific GUT relations. | result 0.43 | 0.78 | 0.31 | asserted 1.00 |
| s2 | These GUT relations arise after GUT symmetry breaking from a novel combination of group theoretical Clebsch-Gordan factors, which in addition to large theta_13^PMNS lead to promising quark lepton mass ratios for all generations of quarks and leptons and to m_s / m_d = 18.95_(-0.24)^(+0.33), in excellent agreement with experimental results. | result 0.92 | 0.85 | 0.22 | asserted 0.94 |
| s3 | The model also features spontaneous CP violation, with all quark and lepton CP phases determined from family symmetry breaking. | contribution 0.57 | 0.78 | 0.05 | asserted 1.00 |
| s4 | We perform a full Markov Chain Monte Carlo fit to the available quark and lepton data, and discuss how the model can be tested by present and future experiments. | method 0.69 | 0.96 | 0.07 | asserted 0.99 |
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The paper
Original abstract
We propose a supersymmetric SU(5) GUT model with an A_4 family symmetry - including a full flavon- and messenger sector - which realises the relation theta_13^PMNS \simeq theta_C / sqrt(2). The neutrino sector features tri-bimaximal mixing, and theta_13^PMNS \simeq theta_C / sqrt(2) emerges from the charged lepton contribution to the PMNS matrix, which in turn is linked to quark mixing via specific GUT relations. These GUT relations arise after GUT symmetry breaking from a novel combination of group theoretical Clebsch-Gordan factors, which in addition to large theta_13^PMNS lead to promising quark lepton mass ratios for all generations of quarks and leptons and to m_s / m_d = 18.95_(-0.24)^(+0.33), in excellent agreement with experimental results. The model also features spontaneous CP violation, with all quark and lepton CP phases determined from family symmetry breaking. We perform a full Markov Chain Monte Carlo fit to the available quark and lepton data, and discuss how the model can be tested by present and future experiments.
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References
How the literature uses it
32 arXiv papers cite this in 68 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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The resulting CKM-like mixing matrix of charged leptons modifies the vanishing $\theta^{\nu}_{13}$ in TBM mixing to a large $\theta^{PMNS}_{13}\simeq\theta_{c}/\sqrt{2}$, in excellent agreement with experimental results.
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Builds on it 1 paper
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In this paper, we extend this approach of the CP violating phase to the lepton sector [ref] and discuss the link of the CP violating phase between the quark and lepton sectors.
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We perform the numerical analysis in a similar way as in Ref. [ref] .
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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.
Inverse neutrino mass hierarchy in a flavour GUT model · Results · 1.00
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The assumption is that possible effects of subdominant operators can be neglected.[It has been checked in explicit GUT flavour models, e.g. in [ref] , that this principle works very well, unless two operators are engineered to both contribute with similar strength.
Predicting $\delta^\text{PMNS}$, $\theta_{23}^\text{PMNS}$ and fermion mass ratios from flavour GUTs with CSD2 · $$: single operator dominance · 1.00
Cites it as background 4 papers
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In this work, we study generalised CP symmetry in the context of the most popular family symmetry $A_4$[$A_4$ models with spontaneous CP violation are proposed in Refs. [ref] , where a CP symmetry is assumed to exist at a high energy scale.] (please see Ref. [ref] for a classification of the $A_4$ models on the market).
Generalised CP and $A_4$ Family Symmetry · Introduction · 0.91
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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] .
Inverse neutrino mass hierarchy in a flavour GUT model · Introduction · 0.90
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[ These ideas should not be confused with alternatives to PQ symmetry, such as Nelson-Barr type resolutions to the strong $CP$ problem [ref] , or GUT models where specific Yukawa structures have been proposed [ref] . ] Recent efforts have been made [ref] to unify the $U(1)_PQ$ symmetry with a Froggatt-Nielsen-like $U(1)$ flavour symmetry [ref] .
Flavourful Axion Phenomenology · Introduction · 0.86
What it cites · 34 sentences without a confident label
Uses the method or tool of 2 papers
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Based on one of the strategies discussed in [ref] , the neutrino sector of our model features tri-bimaximal mixing, and $θ_13^≃θ_C / √(2)$ emerges from the charged lepton contribution to the PMNS matrix, which in turn is linked to quark mixing via specific GUT relations.
\theta^PMNS_13 = \theta_C / \sqrt2 from GUTs · Summary and conclusions · 0.80
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The fit is performed in the following way: Using the one-loop MSSM RGEs we run the parameters in the MSSM from $M_GUT$ down to $Λ_SUSY=1$ with the Mathematica package REAP [ref] .
Running Neutrino Mass Parameters in See-Saw Scenarios · Numerical procedure · 1.00
Uses data or values from 3 papers
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The lepton mixing observables are fitted to the updated global fit results of the NuFIT collaboration [ref] .
Global fit to three neutrino mixing: critical look at present precision · Numerical procedure · 0.98
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The experimental values of $sinθ_C$, $sinθ_23^$, $sinθ_13^$ and $δ^$ are taken from the Winter 2013 fit results of the UTfit collaboration [ref] .
The 2004 UTfit Collaboration Report on the Status of the Unitarity Triangle in the Standard Model · Numerical procedure · 1.00
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We use the quark- and charged lepton masses at $m_t(m_t)$ given in Ref. [ref] for the fit.
Updated Values of Running Quark and Lepton Masses · Numerical procedure · 1.00
Compares with 1 paper
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Finally, we point out predictions which may allow to falsify the model: * We find best fit values of $θ^_13 = 9.44^∘_-0.25^∘^+0.20^∘$ and $θ_23^=38.49^∘_-1.26^∘^+1.11^∘$, which lie within the respective $2σ$ intervals reported in [ref] .
Global fit to three neutrino mixing: critical look at present precision · Testability of the model · 0.96
Cites as background 2 papers
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Its possible origin from charged lepton corrections in Pati-Salam models has been discussed in [ref] .
Large neutrino mixing angle \theta_{13}^{MNS} and quark-lepton mass ratios in unified flavour models · Introduction · 0.81
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Its possible origin from charged lepton corrections in Pati-Salam models has been discussed in [ref] .
Tri-bimaximal-Cabibbo Mixing · Introduction · 0.81
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