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Klein, Rebecca: Applications of heavy quark methodsAnwendungen der effektiven Theorie schwerer Quarks. 2018
Inhalt
Zusammenfassung
Abstract
Contents
1. Introduction
2. Standard Model of Particle Physics
2.1 Gauge Group of the Standard Model
2.2 The CKM Matrix
2.3 CP Violation
2.4 Quantum Chromodynamics
3. Heavy Quark Expansion
3.1 Heavy Quark Limit
3.1.1 Derivation of the Effective Lagrangian
3.1.2 Feynman Rules in HQET
3.2 Heavy Quark Symmetry
3.2.1 Form Factors in Weak Decays
3.2.2 Further Features in HQET
3.3 Renormalization
3.3.1 On-Shell Renormalization
3.3.2 Quark Self-Energy
3.3.3 Composite Operators
3.4 Matching of the Four-Quark Operator
3.4.1 Four-Quark Operator
3.4.2 Perturbative Corrections
3.4.3 Matching
3.4.4 Running of the Four-Quark Operator
4. D** Spectroscopy and B -> D** lv
4.1 Spectroscopy
4.2 Power Corrections to the HQET Hamiltonian
4.3 Extracting the Mixing Angle
4.4 Fitting the Mixing Angle
4.5 Effects on Semileptonic Decays B -> D** lv
4.6 Effects on the Widths of the Orbitally Excited States
4.7 Discussion
5. B - B–Mixing
5.1 Overview
5.2 Bag Parameter
5.2.1 Matching of the Bag Parameter
5.2.2 Running of the Bag Parameter
5.3 Calculation
5.3.1 Perturbative Contribution
5.3.2 Quark Condensates
5.3.3 Sum Rule
5.4 Result
5.5 Discussion
6. CP Violation in Three-Body Decays
6.1 QCD Factorization
6.1.1 Two-Body Decays
6.1.2 Three-Body Decays
6.2 QCD-factorized Effective Hamiltonian
6.3 Non-Perturbative Input
6.3.1 Pion Decay Constant and Pion Form Factor
6.3.2 B -> π Form Factors
6.3.3 B -> π π Form Factors
6.4 Calculation of the Amplitude
6.5 CP Violation
6.6 Charm Resonance Model
6.7 Discussion
7. Summary and Conclusion
Appendix
A. Fierz Transformations
B. Details on D** Spectroscopy and B -> D** lv
B.1 Spin Wave Functions
B.2 Mixing of the 1+ States
B.3 Details On The Fit
C. Details on B- Mixing
C.1 Loop Integrals
C.2 Master Integrals
C.2.1 Perturbative Contribution
C.2.2 Quark Condensate Contribution
D. Details on CP Violation in Three-Body-Decays
D.1 Dalitz Distribution
D.2 Calculation of the QCD-Factorized Effective Hamiltonian
D.3 New Non-Perturbative Input
D.3.1 Generalized Form Factor
D.3.2 Two-Pion Generalized Distribution Amplitude (GDA)
D.4 Calculation of the Amplitude for B
D.5 Computation of the Helicity Angle
Bibliography