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Minimal flavour violation in the quark and lepton sector and the impact of extra dimensions on flavour changing neutral currents and electroweak symmetry breaking [Elektronische Ressource] / vorgelegt von Andreas Weiler

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123 Pages
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Physik-DepartmentMinimal Flavour Violation in the Quark andLepton Sectorand the Impact of Extra Dimensions on FlavourChanging Neutral Currentsand Electroweak Symmetry BreakingDissertationvonAndreas Weiler¨Technische Universitat¨MunchenPhysik-DepartmentTechnische Universit¨at Mu¨nchenInstitut fu¨r Theoretische PhysikLehrstuhl Univ.-Prof. Dr. Andrzej J. BurasMinimal Flavour Violation in the Quark andLepton Sectorand the Impact of Extra Dimensions on FlavourChanging Neutral Currentsand Electroweak Symmetry BreakingAndreas WeilerVollst¨andiger Abdruck der von der Fakult¨at fu¨r Physik der Technischen Univer-sit¨at Mu¨nchen zur Erlangung des akademischen Grades einesDoktors der Naturwissenschaften (Dr. rer. nat.)genehmigten Dissertation.Vorsitzender: Univ.-Prof. Dr. Lothar OberauerPru¨fer der Dissertation: 1. Univ.-Prof. Dr. Andrzej J. Buras2. Univ.-Prof. Dr. Wolfgang HollikDie Dissertation wurde am 10.1.2007 bei der Technischen Universit¨at Mu¨ncheneingereicht und durch die Fakult¨at fu¨r Physik am 16.1.2007 angenommen.Minimal Flavour Violation in the Quark andLepton Sectorand the Impact of Extra Dimensions on FlavourChanging Neutral Currentsand Electroweak Symmetry BreakingDISSERTATIONzur Erlangung des GradesDoktor der Naturwissenschaften (Dr. rer. nat.

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Published 01 January 2007
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Physik-Department
Minimal Flavour Violation in the Quark and
Lepton Sector
and the Impact of Extra Dimensions on Flavour
Changing Neutral Currents
and Electroweak Symmetry Breaking
Dissertation
von
Andreas Weiler
¨Technische Universitat
¨MunchenPhysik-Department
Technische Universit¨at Mu¨nchen
Institut fu¨r Theoretische Physik
Lehrstuhl Univ.-Prof. Dr. Andrzej J. Buras
Minimal Flavour Violation in the Quark and
Lepton Sector
and the Impact of Extra Dimensions on Flavour
Changing Neutral Currents
and Electroweak Symmetry Breaking
Andreas Weiler
Vollst¨andiger Abdruck der von der Fakult¨at fu¨r Physik der Technischen Univer-
sit¨at Mu¨nchen zur Erlangung des akademischen Grades eines
Doktors der Naturwissenschaften (Dr. rer. nat.)
genehmigten Dissertation.
Vorsitzender: Univ.-Prof. Dr. Lothar Oberauer
Pru¨fer der Dissertation: 1. Univ.-Prof. Dr. Andrzej J. Buras
2. Univ.-Prof. Dr. Wolfgang Hollik
Die Dissertation wurde am 10.1.2007 bei der Technischen Universit¨at Mu¨nchen
eingereicht und durch die Fakult¨at fu¨r Physik am 16.1.2007 angenommen.Minimal Flavour Violation in the Quark and
Lepton Sector
and the Impact of Extra Dimensions on Flavour
Changing Neutral Currents
and Electroweak Symmetry Breaking
DISSERTATION
zur Erlangung des Grades
Doktor der Naturwissenschaften (Dr. rer. nat.)
am Fachbereich Physik
der Technischen Universit¨at Mu¨nchen
vorgelegt von
Andreas Weiler
Physik-Department T31
Technische Universit¨at Mu¨nchen
Januar 2007Abstract
Westudyflavor-changingdecaysofhadronsandleptonsandanextra-dimensional
approach to electroweak symmetry breaking. Specifically,
• We study the framework of Minimal Flavour Violation (MFV) as an expla-
nation of the flavour problem.
• We discuss the impact of a specific extra-dimensional model of the MFV
class on flavour changing neutral currents.
• We derive model-independent upper bounds on rare decays.
• We discuss the extension of the MFV framework from the quark to the lep-
tonsectorandshow how baryogenesis throughleptogenesis can beachieved
and examine if possible correlations with charged lepton flavour violation
exist.
• We discuss the dynamical breaking of the electroweak symmetry in extra
dimensions by unifying gauge and higgs fields and we show that realistic
models are possible once the extra dimension is strongly curved.
iiiContents
1 Introduction 1
2 MFV in the quark sector 5
2.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.2 Basic Framework . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.2.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.2.2 Phenomenologically relevant Master Functions . . . . . . . 8
2.2.3 Effective Field Theory Framework . . . . . . . . . . . . . . 8
2.3 A specific model: Universal Extra Dimensions . . . . . . . . . . . 10
2.3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 10
2.3.2 The ACD Model . . . . . . . . . . . . . . . . . . . . . . . 10
2.3.3 The ACD Model and FCNC Processes . . . . . . . . . . . 12
2.3.4 The Impact of the KK Modes on Specific Decays . . . . . 14
2.3.5 Concluding Remarks . . . . . . . . . . . . . . . . . . . . . 19
2.4 Model Independent Upper bounds on rare B and K decays . . . . 21
2.4.1 Strategy . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.4.2 Numerical Analysis . . . . . . . . . . . . . . . . . . . . . . 24
2.4.3 Messages . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
3 MFV in the lepton sector 41
3.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
3.2 Basic Framework . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
3.2.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . 42
3.2.2 Yukawa Couplings and Majorana Mass Terms . . . . . . . 43
3.2.3 An Useful Parametrisation . . . . . . . . . . . . . . . . . . 44
3.3 Radiative corrections in MLFV . . . . . . . . . . . . . . . . . . . 45
3.3.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . 45
3.3.2 MLFV with a degeneracy scale . . . . . . . . . . . . . . . 46
3.3.3 Radiatively generated flavour structure and large logarithms 47
3.3.4 Renormalization-group evolution: high scales . . . . . . . . 48
3.3.5 RGE evolution below M : PMNS matrix and Δ . . . . . 51ν ij
3.4 Numerical Analysis: B(l →l γ) and CP asymmetries in ν decay 52i j R
3.4.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . 52
iiiiv CONTENTS
3.4.2 Perturbativity bounds . . . . . . . . . . . . . . . . . . . . 53
3.4.3 Lepton Flavour Violation and l → l γ . . . . . . . . . . . 53i j
3.4.4 CP asymmetries . . . . . . . . . . . . . . . . . . . . . . . . 56
3.5 Leptogenesis in the extended MLFV Framework . . . . . . . . . . 57
3.5.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . 57
3.5.2 BAU in the RRL and Flavour Effects . . . . . . . . . . . . 59
3.5.3 Two flavour limit . . . . . . . . . . . . . . . . . . . . . . . 62
3.5.4 General case . . . . . . . . . . . . . . . . . . . . . . . . . . 64
3.5.5 Comparison with [85] . . . . . . . . . . . . . . . . . . . . . 66
3.6 Summary and Conclusions . . . . . . . . . . . . . . . . . . . . . . 69
4 Warped Wilson Line Phases 71
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
4.2 Flat extra dimensions . . . . . . . . . . . . . . . . . . . . . . . . . 72
4.2.1 Gauge Higgs unification in flat extra dimensions . . . . . . 72
14.2.2 Wilson lines on flat S /Z . . . . . . . . . . . . . . . . . . 742
4.2.3 Problems of gauge-Higgs unification in flat space . . . . . . 76
4.3 Warped extra dimensions . . . . . . . . . . . . . . . . . . . . . . . 77
4.3.1 Kaluza-Klein expansion in warped space . . . . . . . . . . 77
4.3.2 One loop effective potential . . . . . . . . . . . . . . . . . 83
4.3.3 Warped space gauge-Higgs unification . . . . . . . . . . . . 85
4.4 Summary and discussions . . . . . . . . . . . . . . . . . . . . . . 87
5 Summary and Conclusions 89
A MFV Operator Basis 91
A.1 Operator Basis relevant for Phenomenology . . . . . . . . . . . . 92
B Warped Extra Dimensions 95
B.1 Setup. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
B.1.1 Classical Gravity . . . . . . . . . . . . . . . . . . . . . . . 95
B.1.2 Orbifolding . . . . . . . . . . . . . . . . . . . . . . . . . . 98
B.2 Background gauge . . . . . . . . . . . . . . . . . . . . . . . . . . 99