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Hartmann, Florian: Flavour symmetries in Pati-Salam Grand Unifying TheoriesFlavour Symmetrien in Pati-Salam vereinheitlichten Theorien. 2015
Inhalt
Abstract
Contents
Introduction
Part I. General Overview & TheoreticalBackground
1. Grand Unified Theories
1.1 Selected Aspects of the Standard Model
1.2 Reasons for going Beyond the SM
1.3 Supersymmetry
1.4 Roadmap to Unification
1.4.1 SU(5) à la Georgi and Glashow
1.4.2 Complete Unification in SO(10)
1.4.3 Pati-Salam: an Alternative Route
1.4.4 Larger Groups
2. Flavour Symmetries; SM and Beyond
2.1 The Concept of Flavour
2.1.1 Flavour Symmetries
2.1.2 Yukawa Sector
2.2 Structure of Masses and Mixing in the SM
2.3. Theory of Neutrino Masses
2.3.1 See-Saw Mechanism
2.3.2 Double See-Saw
2.3.3 Sequential Right-Handed Neutrino Dominance
2.4 Flavour in GUTs
2.4.1 Flavour in Pati-Salam
Part II. Explicit Models of Flavour in Pati-Salam
3. PS-Breaking and Gauge Coupling Unification
3.1 Intermediate Symmetries and Scales
3.2 Particle Content and VEV Structure
3.3. Superpotential and Higgs Mechanism
3.4 Spectra and Phenomenology
3.4.1 Mass Matrix
3.4.2 The MSSM Higgs
3.4.3 The Multiplet F
3.4.4 Matter Couplings
3.5 Unification Conditions
3.6 Unification within Supersymmetry
3.6.1 General Overview
3.6.2 Class E
3.6.3 Class F
3.6.4 Classes A to D
3.7 Unification Without Supersymmetry
3.7.1 Class E
3.7.2 Class F
3.7.3 Class A to D
3.8 Summary
4. Effective Theory of Flavour
4.1 Model Framework
4.2 A Triplet-Flavon Model
4.2.1 Setup of the Model
Operator 4.2.1 Analysis
4.3 Larger Flavon Representations
4.4 Flavon Decuplet Model
4.4.1 Setup of the Model
4.4.2 Operator Analysis
4.4.3 Possible Variations
4.5 Summary
5. Gauged Flavour Symmetry
5.1. Motivation
5.2 Model Setup
5.3 Quark Flavour Sector
5.3.1 Approximate Flavour Structure
5.3.2 Diagonalising the Mass Matrix
5.3.3 Gauge Kinetic Terms
5.3.4 Higgs Coupling
5.4 Lepton Sector
5.4.1 Effective Ansatz
5.4.2 Single Scalar extension
5.4.3 GRV-like extension
5.4.4 Resulting Lepton Sector
5.5 Phenomenology of the Quark Sector
5.5.1 Setup of the Scan
5.5.2 Effects on the Flavour Parameter
5.6. Comments on a Supersymmetric Extension
5.7. Summary
6. Conclusions & Outlook
Appendix
A. Unification Model
A.1 Model Naming Scheme
A.2 Mass Matrices
A.3 Vacuum Expectation Values and Mass Scales
A.4 Beta-Function Coefficients
B. Low-Energy Flavour Model
B.1 Tensor Products of SU(3)
B.2 From U(1) to Z(N)
C. Low-Energy Flavour Symmetry Breaking
C.1 Gauge Anomalies
C.2 Calculation of S and T
C.3 Scan over Flavour Parameter
Bibliography
Danksagung
List of publications