Systematic analysis of finite family symmetry groups and their application to the lepton sector

Abstract

In this work we will investigate Lagrangians of the standard model extended by three right-handed neutrinos, and the consequences of invariance under finite groups G for lepton masses and mixing matrices are studied. The main part of this work is the systematic analysis of finite subgroups of SU(3). The analysis of these groups may act as a toolkit for future model building.

Diploma thesis, University of Vienna, June 2009, 227 pages, 1 figure; minor errors corrected

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• Comments on the classification of the finite subgroups of SU(3)
• On discrete Minimal Flavour Violation
• A massless neutrino and lepton mixing patterns from finite discrete subgroups of U(3)
• An A_5 Model of Four Lepton Generations
• Theory of Neutrino Masses and Mixing
• S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model
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• Neutrino masses and mixing from flavour antisymmetry
• Modular Invariant Models of Leptons at Level 7
• Classical and Quantum Discrete Dynamical Systems
• Froggatt-Nielsen models with a residual Z_4^R symmetry
• Relative scale separation in orbifolds of $S^2$ and $S^5$
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• Mathematical Modeling of Finite Quantum Systems
• Clebsch-Gordan coefficients of discrete groups in subgroup bases
• Neutrino mass, mixing and discrete symmetries
• Effects on sinθ_{12} from perturbation of the neutrino mixing matrix with the partially degenerated neutrino masses
• Computations in Finite Groups and Quantum Physics