Rosenthal, Denis: Perturbative corrections to hadronic amplitudes with heavy quarks. 2015
Inhalt
- Abstract
- Contents
- Introduction
- The Standard Model
- Outline of the Standard Model
- Fundamentals of the Electroweak Theory
- The CKM Quark-Mixing Matrix
- Fundamentals of QCD
- Classification of Heavy-light Mesons
- Perturbative QCD: e+ e- hadrons
- Applications of QCD Sum Rules to Leptonic Decay Constants
- Two-Point Correlation Function
- Hadronic Representation
- Dispersion Relation
- Operator Product Expansion
- Quark-Hadron Duality and Borel Transformation
- Sum rules in the Infinite Heavy-Quark-Mass limit
- Perturbative Corrections to the Two-Point Correlation Functions
- Essentials for Loop Computation
- Leading Order Contribution
- Next-to-Leading Order Contribution
- Light-Quark Mass Corrections
- Decay Constants of B and D Mesons from QCD Sum Rules
- Numerical analysis of Borel sum rules
- Numerical Results of Borel Sum Rules
- Alternative Versions of Sum Rules
- Discussion of Results
- Decay Constants of Radially Excited B and D Mesons from QCD Sum Rules
- Including Radial Excitations in QCD Sum Rules
- Strategies and Prerequisites for the Numerical Analysis
- Numerical Results of Borel Sum Rules for Radial Excitations
- Summary and Concluding Remarks
- Decay Rate of Inclusive Semileptonic B Decays from QCD
- Basics of Heavy Quark Effective Theory
- Heavy Quark Expansion for the Total Decay Rate
- Coefficient Functions of HQE
- The Total Width and Moments of the Differential Distribution
- Impact on CKM Matrix Element |Vcb|
- Discussion of Results
- Technical Aspects of Perturbative Corrections to Inclusive B-Decays
- Leading Power Coefficient (Partonic Width)
- EOM Operator Coefficient
- Chromomagnetic Operator Coefficient
- Heavy-quark Current Operator Coefficient
- Summary and Discussion
- General Setup and Properties
- Regularization
- Definitions and Properties of Feynman Integrals within Dimension Regularization
- Renormalization and Quark Masses
- Renormalization Group Functions
- OPE and Hadronic Expressions for Two-Point Correlator
- Hadronic representation of the two-point correlator
- Details about the Dispersion Relation
- LiteRed Basis and Master Integrals
- Perturbative Spectral Function
- Condensate Contributions
- Sum rules for Pseudoscalar Quark Currents in the Infinite Heavy-Quark-Mass Limit
- List of Masters of On-Shell Two- and Three-Loop Topology
- LiteRed Basis and Master Integrals with Two Masses
- LiteRed Basis and Master Integrals with One Mass (mc=0)
- Calculation of N+ and N-
- Bibliography
- List of Publications