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
5 - Short-Distance Structure ofWeak 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
Next we will discussflavor-changing neutral current (FCNC) processes. In the SM such processes can only occur first at the one-loop level due to Glashow–liopoulos–Maiani (GIM) mechanism, a very important mechanism in the field of weak decays. We will first present the general structure of these processes, which will involve a set of basic master one-loop functions. We will calculate most ofthese functions explicitly without including first QCD corrections. Subsequently we will show how these functions enter the operator product expansion. Nextwe will include QCD and electroweak corrections to a number of FCNC processes. This will result in a number of effective Hamiltonians for most important processes thatinvolve new operators not encountered in previous chapter: the so-called penguin operators. In this step we will study several properties of these Hamiltonians but we will postpone detailed phenomenology of these processesto later chapters.
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- Gauge Theory of Weak Decays , pp. 130 - 178Publisher: Cambridge University PressPrint publication year: 2020