A Grand Delta(96) x SU(5) Flavour Model

Abstract

Recent results from the Daya Bay and RENO reactor experiments have measured the smallest lepton mixing angle and found it to have a value of theta_13 approximately 9 degrees. This result presents a new challenge for the existing paradigms of discrete flavour symmetries which attempt to describe all quark and lepton masses and mixing angles. Here we propose a Supersymmetric Grand Unified Theory of Flavour based on Delta(96) x SU(5), together with a U(1) x Z3 symmetry, including a full discussion of Delta(96) in a convenient basis. The Grand Delta(96) x SU(5) Flavour Model relates the quark mixing angles and masses in the form of the Gatto-Sartori-Tonin relation and realises the Georgi-Jarlskog mass relations between the charged leptons and down-type quarks. We predict a Bi-trimaximal (not Tri-bimaximal) form of neutrino mixing matrix, which, after including charged lepton corrections with zero phase, leads to the following GUT scale predictions for the atmospheric, solar, and reactor mixing angles: theta_23=36.9 degrees, theta_12=32.7 degrees and theta_13=9.6 degrees, in good agreement with recent global fits, and a zero Dirac CP phase delta~0.

35 pages, version to appear in NPB

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• GUT Physics in the era of the LHC
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• Lepton and Quark Mixing Patterns from Finite Flavor Symmetries
• Flavor and CP symmetries for leptogenesis and 0nubb decay
• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• Testing solar lepton mixing sum rules in neutrino oscillation experiments
• Towards a complete $\Delta (27)\times SO(10)$ SUSY GUT
• Spontaneous CP violation in A4xSU(5) with Constrained Sequential Dominance 2
• An SU(5) x A5 Golden Ratio Flavour Model
• Simplest Neutrino Mixing from S4 Symmetry
• Fermion masses and mixings in an $SU(5)$ grand unified model with an extra flavor symmetry
• Lepton flavor at the electroweak scale: A complete A4 model
• Predictions for the Majorana CP Violation Phases in the Neutrino Mixing Matrix and Neutrinoless Double Beta Decay
• Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry
• [Re]constructing Finite Flavour Groups: Horizontal Symmetry Scans from the Bottom-Up
• An $S_4\times SU(5)$ SUSY GUT of flavour in 6d
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• Adjoint $SU(5)$ GUT model with $T_7$ flavor symmetry
• Renormalisation Group Corrections to Neutrino Mass Sum Rules
• Minima of multi-Higgs potentials with triplets of $\Delta (3n^2)$ and $\Delta (6n^2)$
• Lepton Sector Phases and Their Roles in Flavor and Generalized CP Symmetries
• Neutrino Mixing and Discrete Symmetries
• Predictivity of Neutrino Mass Sum Rules
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Status of Neutrino Mass and Mixing
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Approaching Minimal Flavour Violation from an SU(5) x S4 x U(1) SUSY GUT
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• $\mathbf{SO}(10)\times {\mathbf{S}}_4$ Grand Unified Theory of Flavour and Leptogenesis
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• Symmetry based parameterizations of the lepton mixing matrix
• Muon anomalies and the $SU(5)$ Yukawa relations
• Generalized perturbations in neutrino mixing
• Flavon-induced connections between lepton flavour mixing and charged lepton flavour violation processes
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• Neutrino Mass Sum Rules and Symmetries of the Mass Matrix
• New mixing schemes for (3+1) neutrinos
• An Overview of Neutrino Mixing
• Neutrino Mixing by modifying the Yukawa coupling structure of constrained sequential dominance
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Predicting Neutrino Mixing Angles Using Group Presentations
• Sum Rules for Leptons
• Neutrino Mixing from $\Delta (6n^2)$ Groups
• Theories of Leptonic Flavor
• Neutrino Mass Sum Rules
• On Bimaximal Neutrino Mixing and GUT's
• Connecting Tribimaximal and Bitrimaximal Mixings
• Recent developments in Neutrino Physics
• Neutrino Oscillations in the Three Flavor Paradigm