$\mathbf{SO}(10)\times {\mathbf{S}}_4$ Grand Unified Theory of Flavour and Leptogenesis

Abstract

We propose a Grand Unified Theory of Flavour, based on $SO(10)$ together with a non-Abelian discrete group $S_4$, under which the unified three quark and lepton 16-plets are unified into a single triplet $3^{\prime }$. The model involves a further discrete group ${\mathbb{Z}}_4^R\times {\mathbb{Z}}_4^3$ which controls the Higgs and flavon symmetry breaking sectors. The CSD2 flavon vacuum alignment is discussed, along with the GUT breaking potential and the doublet-triplet splitting, and proton decay is shown to be under control. The Yukawa matrices are derived in detail, from renormalisable diagrams, and neutrino masses emerge from the type I seesaw mechanism. A full numerical fit is performed with 15 input parameters generating 19 presently constrained observables, taking into account supersymmetry threshold corrections. The model predicts a normal neutrino mass ordering with a CP oscillation phase of $260^{\circ }$, an atmospheric angle in the first octant and neutrinoless double beta decay with $m_{\beta \beta }=11$ meV. We discuss $N_2$ leptogenesis, which fixes the second right-handed neutrino mass to be $M_2\simeq 2\times 10^{11}$ GeV, in the natural range predicted by the model.

arXiv comment26 pages, 10 figures

References in corpus (61)

• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Neutrino Mass and Mixing with Discrete Symmetry
• The Top Quark Mass in Supersymmetric SO(10) Unification
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Proton stability in grand unified theories, in strings, and in branes
• 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
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Natural Suppression of Higgsino-Mediated Proton Decay in Supersymmetric SO(10)
• Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
• Unified Models of Neutrinos, Flavour and CP Violation
• Running quark and lepton parameters at various scales
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• A model for fermion masses and lepton mixing in SO(10) x A4
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Seesaw geometry and leptogenesis
• A unique Z_4^R symmetry for the MSSM
• Minimal SO(10) Unification
• Towards a complete $A_4\times SU(5)$ SUSY GUT
• An SO(10)XS-4 Scenario for Naturally Degenerate Neutrinos
• Nucleon Decay Searches with large Liquid Argon TPC Detectors at Shallow Depths: atmospheric neutrinos and cosmogenic backgrounds
• A Grand Delta(96) x SU(5) Flavour Model
• Tri-bimaximal-Cabibbo Mixing
• Bimaximal mixing and large theta13 in a SUSY SU(5) model based on S4
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• An SO(10) GUT Model with $S4$ Flavor Symmetry
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• A new family symmetry for SO(10) GUTs
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• An SO(10) Grand Unified Theory of Flavor
• Littlest Seesaw
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• The problem of the initial conditions in flavoured leptogenesis and the tauon N_2-dominated scenario
• A_4xSU(5) SUSY GUT of Flavour in 8d
• Family Symmetries and Proton Decay
• A model of quark and lepton mixing
• An introduction to leptogenesis and neutrino properties
• A fuller flavour treatment of N_2-dominated leptogenesis
• A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2)
• Discrete family symmetry, Higgs mediators and theta_{13}
• SUSY S4 x SU(5) revisited
• Decrypting $SO(10)$-inspired leptogenesis
• Large θ_13 in a SUSY SU(5)xT' Model
• Successful $N_2$ leptogenesis with flavour coupling effects in realistic unified models
• Towards predictive flavour models in SUSY SU(5) GUTs with doublet-triplet splitting
• Measurable Neutrino Mass Scale in A4 x SU(5)
• Non-Abelian family symmetries in Pati-Salam unification
• A to Z of Flavour with Pati-Salam
• A natural $S_4\times SO(10)$ model of flavour
• Inverse neutrino mass hierarchy in a flavour GUT model
• Supersymmetric $SO(10)$-inspired leptogenesis and a new $N_2$-dominated scenario
• A full analytic solution of $SO(10)$-inspired leptogenesis
• Flavour symmetries in a renormalizable SO(10) model
• SO(10) models with flavour symmetries: Classification and examples

Cited by in corpus (13)

• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• A 3-3-1 model with low scale seesaw mechanisms
• An $S_4\times SU(5)$ SUSY GUT of flavour in 6d
• Fermion masses and mixings and some phenomenological aspects of a 3-3-1 model with linear seesaw mechanism
• Beyond the standard model with six-dimensional spinors
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Muon anomalies and the $SU(5)$ Yukawa relations
• Strong thermal $SO(10)$-inspired leptogenesis in the light of recent results from long-baseline neutrino experiments
• Leptogenesis in $\Delta (27)$ with a Universal Texture Zero
• Multiscalar $B-L$ extension based on $S_4$ flavor symmetry for neutrino mass and mixing
• Fully constrained mass matrix: Can symmetries alone determine the flavon vacuum alignments?
• Phenomenology of extended multiHiggs doublet models with $S_4$ family symmetry
• SO(10) unification with horizontal symmetry