Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- List of Abbreviations
- Introduction
- Part I Basics of Gauge Theories
- Part II The StandardModel
- Part III Weak Decays in the StandardModel
- 3 Weak Decays at Tree Level
- 4 Weak Decays at Tree Level
- 5 Short-Distance Structure ofWeak Decays
- 6 Effective Hamiltonians for FCNC Processes
- 7 Nonperturbative Methods in Weak Decays
- 8 Particle-Antiparticle Mixing and CP Violation in the Standard Model
- 9 Rare B and K Decays in the Standard Model
- 10 ε′/ε in the Standard Model
- 11 Charm Flavor Physics
- 12 Status of Flavor Physics within the Standard Model
- Part IV Weak Decays beyond the StandardModel
- Appendix A Dirac Algebra, Spinors, Pauli and Gell-Mann Matrices
- Appendix B Feynman Rules of the Standard Model
- Appendix C Massive Loop Integrals
- Appendix D Numerical Input
- Appendix E Analytic Solutions to SMEFT RG Equations
- References
- Index
7 - Nonperturbative Methods in Weak Decays
from Part III - Weak Decays in the StandardModel
Published online by Cambridge University Press: 11 June 2020
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- List of Abbreviations
- Introduction
- Part I Basics of Gauge Theories
- Part II The StandardModel
- Part III Weak Decays in the StandardModel
- 3 Weak Decays at Tree Level
- 4 Weak Decays at Tree Level
- 5 Short-Distance Structure ofWeak Decays
- 6 Effective Hamiltonians for FCNC Processes
- 7 Nonperturbative Methods in Weak Decays
- 8 Particle-Antiparticle Mixing and CP Violation in the Standard Model
- 9 Rare B and K Decays in the Standard Model
- 10 ε′/ε in the Standard Model
- 11 Charm Flavor Physics
- 12 Status of Flavor Physics within the Standard Model
- Part IV Weak Decays beyond the StandardModel
- Appendix A Dirac Algebra, Spinors, Pauli and Gell-Mann Matrices
- Appendix B Feynman Rules of the Standard Model
- Appendix C Massive Loop Integrals
- Appendix D Numerical Input
- Appendix E Analytic Solutions to SMEFT RG Equations
- References
- Index
Summary
In this chapter we present a detailed discussion of the particle-antiparticle mixing in the SM and perform the classification of various types of CP violation. We will discuss the determination of the CKM parameters in tree-level decays and also the determination of the so-called unitarity triangle from particle-antipartcle mixing both from Band K meson systems and tree-level decays in question. In this context we will present various methods for the determination of the angles in this triangle from certain leading decays. The considered decays are subject to only small contributions from NP so that the CKM parameters can be extracted without knowledge of what happens beyond the SM. This is useful as then the results of tree-level determinations of CKM parameterscan be used to find SM predictions forparticle-antiparticle mixing observables considered already in this chapter and for rare processes considered in the next two chapters. Both particle-antiparticle mixing and rare processes are subject to potential NP contributions and could help us to identify NP through the pattern of deviations of the data for themfrom SM predictions.
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- Gauge Theory of Weak Decays , pp. 253 - 282Publisher: Cambridge University PressPrint publication year: 2020