Braß, Simon: Parallel adaptive Monte Carlo integration and vector-boson scattering at the Large Hadron ColliderParallele, adaptive Monte-Carlo-Integration und Vektor-Boson-Streuung am Large Hadron Collider. 2019
Inhalt
- Zusammenfassung
- Abstract
- Acknowlegdements
- Contents
- List of Figures
- List of Tables
- Preface
- 1 Theoretical Foundations
- 1.1 The Standard Model of Particle Physics
- 1.2 Formulation of Phase Space, Cross Section and Decay
- 1.3 Monte Carlo Integration
- 1.4 Event Generation
- 1.5 Multi-Purpose Monte Carlo Event Generator: WHIZARD
- 2 Adaptive Monte Carlo Integration
- 2.1 The VEGAS Algorithm: Importance Sampling
- 2.2 The VEGAS Algorithm: (Pseudo-)Stratified Sampling
- 2.3 The Multi-Channel Approach
- 2.4 Doubly-Adaptive Multi-Channel Integration: VAMP
- 2.5 Optimization and Parallelization
- 2.6 The Message-Passing Interface (MPI) Standard
- 3 Parallelization of the Adaptive Monte Carlo Integration
- 3.1 A New Implementation: VAMP2
- 3.2 Random Numbers and Parallelization
- 3.3 Parallelization of VEGAS
- 3.4 Combined Parallelization of VEGAS and VAMP2
- 3.5 Implementation Details of the MPI Parallelization
- 3.6 MPI Process Balancing
- 3.7 Embedding the Parallel Integration into WHIZARD
- 3.8 Benchmark of VEGAS and VAMP2
- 3.9 Future Improvements
- 4 Transverse Modes and Higgs Bosons in Electroweak Vector-Boson Scattering at the LHC
- 4.1 Standard Model Effective Field Theory
- 4.2 Unitarization
- 4.3 Isospin-Spin Amplitudes
- 4.4 Simplified Resonance Models
- 4.5 Production Setup
- 4.6 Results
- 4.7 Discussion
- 4.8 Future Improvements
- 5 Conclusion and Outlook
- A Parallel Adaptive Monte Carlo Integration
- A.1 The VEGAS Algorithm: Optimization
- A.2 The VEGAS algorithm: Implementation
- A.3 Multi-Channel Weight Optimization
- A.4 Benchmark Results
- B Vector-Boson Scattering at the LHC
- B.1 Electroweak Chiral Lagrangian
- B.2 Comparison of Scalar Operators
- B.3 Mandelstam Variables
- B.4 Isospin Algebra
- B.5 Wigner D-functions
- B.6 Sindarin File
- B.7 Additional Numerical Results
- Bibliography
- Glossary