A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)

Abstract

We construct a realistic Supersymmetric Grand Unified Theory of Flavour based on PSL(2,7) x SO(10), where the quarks and leptons in the 16 of SO(10) are assigned to the complex triplet representation of PSL(2,7), while the flavons are assigned to a combination of sextets and anti-triplets of PSL(2,7). Using a D-term vacuum alignment mechanism, we require the flavon sextets of PSL(2,7) to be aligned along the 3-3 direction leading to the third family Yukawa couplings, while the flavon anti-triplets describe the remaining Yukawa couplings. Other sextets are aligned along the neutrino flavour symmetry preserving directions leading to tri-bimaximal neutrino mixing via a type II see-saw mechanism, with predictions for neutrinoless double beta decay and cosmology.

28 pages, version to be published in NPB

References in corpus (49)

• Massive neutrinos and cosmology
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• A model for fermion masses and lepton mixing in SO(10) x A4
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• Unification and Fermion Mass Structure
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• Twisted Flavors and Tri/bi-Maximal Neutrino Mixing
• The Flavor Group Delta(6n^2)
• Predictive flavour symmetries of the neutrino mass matrix
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• Flavor Symmetry for Quarks and Leptons
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• On the origin of neutrino flavour symmetry
• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
• S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing
• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• Simple Finite Non-Abelian Flavor Groups
• A new family symmetry for SO(10) GUTs
• Neutrino mixing from the double tetrahedral group T^{\prime}
• Lepton Flavour Violation in a Supersymmetric Model with A4 Flavour Symmetry
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• S_3 Symmetry and Neutrino Masses and Mixings
• Resonant leptogenesis and tribimaximal leptonic mixing with A4 symmetry
• Solving the SUSY Flavour and CP Problems with SU(3) Family Symmetry
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry
• Tri-bimaximal lepton mixing from symmetry only
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• $T^{{}^{\prime }}$ Predictions of PMNS and CKM Angles
• The discrete flavor symmetry D5
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• Origin of Quark-Lepton Flavor in SO(10) with Type II Seesaw
• theta_C from the Dihedral Flavor Symmetries D_7 and D_14
• A See-Saw $S_4$ model for fermion masses and mixings
• Systematic analysis of finite family symmetry groups and their application to the lepton sector
• Solving the SUSY Flavour and CP Problems with Non-Abelian Family Symmetry and Supergravity
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• Delta(54) Flavor Model for Leptons and Sleptons
• A bottom-up analysis of horizontal symmetry
• Anomaly Conditions for Non-Abelian Finite Family Symmetries
• Charged Lepton Flavour Violating Radiative Decays ${\ell }_i\to {\ell }_j+\gamma$ in See-Saw Models with $A_4$ Symmetry

Cited by in corpus (54)

• Neutrino Mass and Mixing with Discrete Symmetry
• Unified Models of Neutrinos, Flavour and CP Violation
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• A Grand Delta(96) x SU(5) Flavour Model
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• Neutrino masses and mixing: a flavour symmetry roadmap
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Explicit and spontaneous breaking of SU(3) into its finite subgroups
• Neutrino Mixings in SO(10) with Type II Seesaw and theta_{13}
• Discrete family symmetry, Higgs mediators and theta_{13}
• Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach
• CP Symmetry and Lepton Mixing from a Scan of Finite Discrete Groups
• 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
• The symmetry approach to quark and lepton masses and mixing
• The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• On the Vanishing of the CP Asymmetry in Leptogenesis due to Form Dominance
• Family symmetries and alignment in multi-Higgs doublet models
• Large loop effects of extra SUSY Higgs doublets to CP violation in B^0 mixing
• A natural $S_4\times SO(10)$ model of flavour
• Super Flavorsymmetry with Multiple Higgs Doublets
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Implications of large CP Violation in B mixing for Supersymmetric Standard Models
• Renormalisation group improved leptogenesis in family symmetry models
• Order and Anarchy hand in hand in 5D SO(10)
• Spontaneous R-Parity Violation, $A_4$ Flavor Symmetry and Tribimaximal Mixing
• $\mathbf{SO}(10)\times {\mathbf{S}}_4$ Grand Unified Theory of Flavour and Leptogenesis
• Type II Seesaw Dominance in Non-supersymmetric and Split Susy SO(10) and Proton Life Time
• Flavor Delta(54) in SU(5) SUSY Model
• A Built-in Horizontal Symmetry of $SO(10)$
• Hidden flavor symmetries of SO(10) GUT
• SO(10) models with flavour symmetries: Classification and examples
• Fermion masses and mixing with tri-bimaximal in SO(10) with type-I seesaw
• Modular Invariant Models of Leptons at Level 7
• Strong coupling, discrete symmetry and flavour
• Symmetries of stationary points of the $G$-invariant potential and the framework of the auxiliary group
• Lepton-flavour violation in a Pati-Salam model with gauged flavour symmetry
• Yukawa ratio predictions in non-renormalizable $\mathrm{SO}(10)$ GUT models
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Combining Pati-Salam and Flavour Symmetries
• SUSY SU(5) $\times S_4$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large ${\theta }_{13}^{PMNS}$
• SO(10) unification with horizontal symmetry
• Neutrino Mass Models: Impact of non-zero reactor angle
• Neutrino mass and grand unification of flavor
• PSL(2,7) Representations and their relevance to Neutrino Physics
• A realistic pattern of fermion masses from a five-dimensional SO(10) model