An SU(5) x A5 Golden Ratio Flavour Model

Abstract

In this paper we study an SU(5) x A5 flavour model which exhibits a neutrino mass sum rule and golden ratio mixing in the neutrino sector which is corrected from the charged lepton Yukawa couplings. We give the full renormalizable superpotential for the model which breaks SU(5) and A5 after integrating out heavy messenger fields and minimising the scalar potential. The mass sum rule allows for both mass orderings but we will show that inverted ordering is not valid in this setup. For normal ordering we find the lightest neutrino to have a mass of about 10-50 meV, and all leptonic mixing angles in agreement with experiment.

34 pages, 5 figures; version published in Nucl. Phys. B

References in corpus (57)

• Planck 2013 results. XVI. Cosmological parameters
• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• The Top Quark Mass in Supersymmetric SO(10) Unification
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Electroweak Symmetry Breaking and Bottom-Top Yukawa Unification
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Global fit to three neutrino mixing: critical look at present precision
• Search for Majorana neutrinos with the first two years of EXO-200 data
• Updated Values of Running Quark and Lepton Masses
• Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences
• Running Neutrino Mass Parameters in See-Saw Scenarios
• Possible Alternatives to Tri-bimaximal Mixing
• Running quark and lepton parameters at various scales
• Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance
• Charged Lepton Corrections to Neutrino Mixing Angles and CP Phases Revisited
• Finite Supersymmetric Threshold Corrections to CKM Matrix Elements in the Large $tan\beta$ Regime
• Icosahedral (A5) Family Symmetry and the Golden Ratio Prediction for Solar Neutrino Mixing
• The golden ratio prediction for the solar neutrino mixing
• Correlated Hierarchy, Dirac Masses and Large Mixing Angles
• θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor
• Sizeable θ_13 from the Charged Lepton Sector in SU(5), (Tri-)Bimaximal Neutrino Mixing and Dirac CP Violation
• Unified Parametrization for Quark and Lepton Mixing Angles
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry
• New GUT predictions for quark and lepton mass ratios confronted with phenomenology
• A Grand Delta(96) x SU(5) Flavour Model
• Golden Ratio Prediction for Solar Neutrino Mixing
• Predicting the Values of the Leptonic CP Violation Phases
• Quark and lepton masses at the GUT scale including SUSY threshold corrections
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• Large neutrino mixing angle θ_{13}^{MNS} and quark-lepton mass ratios in unified flavour models
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• Naturalness of the Non-Universal MSSM in the light of the recent Higgs results
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2)
• Neutrino Mixings in SO(10) with Type II Seesaw and theta_{13}
• Spontaneous CP violation in A4xSU(5) with Constrained Sequential Dominance 2
• Discrete family symmetry, Higgs mediators and theta_{13}
• SUSY S4 x SU(5) revisited
• A Golden A_5 Model of Leptons with a Minimal NLO Correction
• GUT predictions for quark-lepton Yukawa coupling ratios with messenger masses from non-singlets
• Perturbative Estimates of Lepton Mixing Angles in Unified Models
• Towards predictive flavour models in SUSY SU(5) GUTs with doublet-triplet splitting
• Golden ratio lepton mixing and nonzero reactor angle with $A_5$
• Naturalness and GUT Scale Yukawa Coupling Ratios in the CMSSM
• Status of the GERDA experiment aimed to search for neutrinoless double beta decay of 76Ge
• Inverse neutrino mass hierarchy in a flavour GUT model
• An A_5 Model of Four Lepton Generations
• From Flavour to SUSY Flavour Models
• Lepton Flavor Model and Decaying Dark Matter in The Binary Icosahedral Group Symmetry
• New Aspects of Flavour Model Building in Supersymmetric Grand Unification

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• SUSY SU(5) $\times S_4$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large ${\theta }_{13}^{PMNS}$
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