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
6 - Effective Hamiltonians for FCNC Processes
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
The phenomenological applications of theformulae collected in Chapter 6 require input from lattice QCD (LQCD) and other nonperturbative approches. In particular one needsthe values of hadronic matrix elements of quark currents and those of four-quark operators. In this chapter we will collect all results for hadronic matrix elements, weak decay constants, and other nonperturbative objects in one place so that they can be looked up quickly whenever necessary. But before presenting the results obtained by purely numerical LQCD calculations, we will discuss the application of the so-calleddual QCD approach to weak decays, which was developed by Bardeen, Gerard, and myself over many years. While not as accurate as the lattice QCD method, it offers a better insight in the dominant QCD dynamics at long-distance scales than LQCD itself. The application of LQCD to nonleptonic decays of B mesons is very difficult, and therefore we will devote a section to the QCD factorization approach, stressing its successes and limitations.
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- Chapter
- Information
- Gauge Theory of Weak Decays , pp. 179 - 252Publisher: Cambridge University PressPrint publication year: 2020