Towards a complete $A_4\times SU(5)$ SUSY GUT

Abstract

We propose a renormalisable model based on $A_4$ family symmetry with an $SU(5)$ grand unified theory (GUT) which leads to the minimal supersymmetric standard model (MSSM) with a two right-handed neutrino seesaw mechanism. Discrete ${\mathbb{Z}}_9\times {\mathbb{Z}}_6$ symmetry provides the fermion mass hierarchy in both the quark and lepton sectors, while ${\mathbb{Z}}_4^R$ symmetry is broken to ${\mathbb{Z}}_2^R$, identified as usual R-parity. Proton decay is highly suppressed by these symmetries. We discuss both the $A_4$ and $SU(5)$ symmetry breaking sectors, including doublet-triplet splitting, Higgs mixing and the origin of the $\mu$ term. The model provides an excellent fit (better than one sigma) to all quark and lepton (including neutrino) masses and mixing with spontaneous CP violation. With the $A_4$ vacuum alignments, $(0,1,1)$ and $(1,3,1)$, the model predicts the entire PMNS mixing matrix with no free parameters, up to a relative phase, selected to be $2\pi /3$ from a choice of the nine complex roots of unity, providing a direct link between neutrino oscillations and leptogenesis.

arXiv comment30 pages, 17 figures, 7 tables; Minor changes, references added, version accepted in JHEP

References in corpus (63)

• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Neutrino Mass and Mixing with Discrete Symmetry
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Neutrino Mass and Mixing: from Theory to Experiment
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Running Neutrino Mass Parameters in See-Saw Scenarios
• Large Mixing Angle MSW and Atmospheric Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
• Atmospheric and Solar Neutrinos with a Heavy Singlet
• Running quark and lepton parameters at various scales
• A4 family symmetry and quark-lepton unification
• Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• Discrete R symmetries for the MSSM and its singlet extensions
• Atmospheric and Solar Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Flavour-Dependent Leptogenesis with Sequential Dominance
• Spontaneous CP violation and Non-Abelian Family Symmetry in SUSY
• θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor
• New GUT predictions for quark and lepton mass ratios confronted with phenomenology
• A Grand Delta(96) x SU(5) Flavour Model
• Bimaximal mixing and large theta13 in a SUSY SU(5) model based on S4
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• The minimal scenario of leptogenesis
• Leptogenesis-MNS Link in Unified Models with Natural Neutrino Mass Hierarchy
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• Leptogenesis in the two right-handed neutrino model revisited
• Suppression of Proton Decay in the Missing-Partner Model for Supersymmetric SU(5) GUT
• Tri-Bimaximal Lepton Mixing and Leptogenesis
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• Supersymmetric Higgs and Radiative Electroweak breaking
• Minimal see-saw model predicting best fit lepton mixing angles
• Quark-Lepton Mass Relation in a Realistic A4 Extension of the Standard Model
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Flavor symmetries, leptogenesis and the absolute neutrino mass scale
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• Solving the SUSY Flavour and CP Problems with SU(3) Family Symmetry
• A_4xSU(5) SUSY GUT of Flavour in 8d
• A model of quark and lepton mixing
• An introduction to leptogenesis and neutrino properties
• A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2)
• Discrete family symmetry, Higgs mediators and theta_{13}
• Solving the Flavour Problem in Supersymmetric Standard Models with Three Higgs Families
• SUSY S4 x SU(5) revisited
• GUT predictions for quark-lepton Yukawa coupling ratios with messenger masses from non-singlets
• Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle
• Towards predictive flavour models in SUSY SU(5) GUTs with doublet-triplet splitting
• No-go theorems for R symmetries in four-dimensional GUTs
• Measurable Neutrino Mass Scale in A4 x SU(5)
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Non-Abelian family symmetries in Pati-Salam unification
• Yukawa Unification Predictions for the LHC
• Invariant see-saw models and sequential dominance
• On the Vanishing of the CP Asymmetry in Leptogenesis due to Form Dominance
• Inverse neutrino mass hierarchy in a flavour GUT model
• Minimal predictive see-saw model with normal neutrino mass hierarchy
• Large lepton mixing angles from a 4+1-dimensional SU(5) x A(4) domain-wall braneworld model
• Family symmetries and the SUSY flavour problem
• Family symmetries and the origin of fermion masses and mixings
• Testing constrained sequential dominance models of neutrinos
• An Improved Search for the Neutron Electric Dipole Moment

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• $A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry
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• Modular invariant flavor model of ${\mathrm{A}}_4$ and hierarchical structures at nearby fixed points
• Flavourful Axion Phenomenology
• Modular Invariant $A_4$ Models for Quarks and Leptons with Generalized CP Symmetry
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• The Dark Side of the Littlest Seesaw: freeze-in, the two right-handed neutrino portal and leptogenesis-friendly fimpzillas
• Twin Modular $S_4$ with $SU(5)$ GUT
• $A_4$ symmetry at colliders and in the universe
• GUT Physics in the era of the LHC
• Towards a complete $\Delta (27)\times SO(10)$ SUSY GUT
• A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
• Interplay between neutrino and gravity portals for FIMP dark matter
• Minimal Seesaw extension for Neutrino Mass and Mixing, Leptogenesis and Dark Matter: FIMPzillas through the Right-Handed Neutrino Portal
• Successful $N_2$ leptogenesis with flavour coupling effects in realistic unified models
• Residual flavor symmetry breaking in the landscape of modular flavor models
• Accidental Peccei-Quinn Symmetry from Discrete Flavour Symmetry and Pati-Salam
• Precision neutrino experiments vs the Littlest Seesaw
• Adjoint SU(5) GUT model with Modular $S_4$ Symmetry
• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• The symmetry approach to quark and lepton masses and mixing
• Mu-tau symmetry and the Littlest Seesaw
• Muon g-2 and Dark Matter suggest Non-Universal Gaugino Masses: $\mathbf{SU}(5)\times {\mathbf{A}}_4$ case study at the LHC
• A Unified Model of Quarks and Leptons with a Universal Texture Zero
• An $S_4\times SU(5)$ SUSY GUT of flavour in 6d
• Quark hierarchical structures in modular symmetric flavor models at level 6
• Modulus $\tau$ linking leptonic CP violation to baryon asymmetry in $A_4$ modular invariant flavor model
• Fitting high-energy Littlest Seesaw parameters using low-energy neutrino data and leptogenesis
• Flipped SU(5) with modular $A_4$ symmetry
• Quark mass hierarchies and CP violation in $A_4\times A_4\times A_4$ modular symmetric flavor models
• A natural $S_4\times SO(10)$ model of flavour
• CP-odd invariants for multi-Higgs models: applications with discrete symmetry
• Littlest Inverse Seesaw Model
• Adjoint $SU(5)$ GUT model with $T_7$ flavor symmetry
• Modular Origin of Mass Hierarchy: Froggatt-Nielsen like Mechanism
• Neutrino phenomenology, W mass anomaly & muon $(g-2)$ in minimal type-III seesaw using $T^{\prime }$ modular symmetry
• Cosmic string gravitational waves from global $U(1{)}_{B-L}$ symmetry breaking as a probe of the type I seesaw scale
• Quark and lepton flavor structure in magnetized orbifold models at residual modular symmetric points
• Flavour and CP predictions from orbifold compactification
• Littlest Seesaw model from S4 x U(1)
• Lepton Mixing Predictions from $S_4$ in the Tri-Direct CP approach to Two Right-handed Neutrino Models
• Type III seesaw under $A_4$ modular symmetry with leptogenesis
• Texture zeros of quark mass matrices at fixed point $\tau =\omega$ in modular flavor symmetry
• $\mathbf{SO}(10)\times {\mathbf{S}}_4$ Grand Unified Theory of Flavour and Leptogenesis
• Consequences of vector-like quarks of Nelson-Barr type
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• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
• Leptogenesis in a $\Delta (27)\times SO(10)$ SUSY GUT
• Solving the strong CP problem with non-conventional CP
• Muon anomalies and the $SU(5)$ Yukawa relations
• Littlest mu-tau seesaw
• A Comprehensive Renormalisation Group Analysis of the Littlest Seesaw Model
• Effective alignments as building blocks of flavour models
• Flavor constraints for a Vector-like quark of Nelson-Barr type
• R-Symmetric Flipped SU(5)
• Effective alignments and the landscape of $S_4$ flavour models
• Exceptional Unification of Families and Forces
• Leptonic CP violation from a vector-like lepton
• Nonholomorphic $A_4$ modular invariance for fermion masses and mixing in SU(5) GUT
• Yukawa ratio predictions in non-renormalizable $\mathrm{SO}(10)$ GUT models
• Spontaneously stabilised dark matter from a fermiophobic $U(1{)}^{\prime }$ gauge symmetry
• SUSY SU(5) $\times S_4$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large ${\theta }_{13}^{PMNS}$
• Hybrid seesaw neutrino model in SUSY $SU(5)\times {\mathbb{A}}_4$
• Non-minimal flavour violation in $A_4\times SU(5)$ SUSY GUTs with smuon assisted dark matter
• Leptogenesis, Fermion Masses and Mixings in a SUSY $SU(5)$ GUT with $D_4$ Flavor Symmetry
• Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry
• Revisiting the Universal Texture Zero of Flavour: a Markov Chain Monte Carlo Analysis
• Sign of CP Violating Phase in Quarks and Leptons
• MSSM-like from $S{U}_5\times D_4$ Models
• Leptonic CP violation from the seesaw
• Orbifold Modular GUT of Flavour
• Flavon alignments from orbifolding: $SU(5)\times SU(3)$ model with ${\mathbb{T}}^6/\Delta (54)$
• $SO(10)$ models with $A_4$ modular symmetry
• FCNCs, Proton Stability, $g_{\mu }-2$ Discrepancy, Neutralino cold Dark Matter in Flipped $SU(5)\times U(1{)}_{\chi }$ from $F$ Theory with $A_4$ Symmetry
• CP-odd invariants for multi-Higgs models and applications with discrete symmetry
• Yukawa textures in modular symmetric vacuum of magnetized orbifold models
• Leptogenesis in the littlest inverse seesaw model
• $A_4$ flavor symmetric model in SUSY SU(5) GUT