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
4 - Weak Decays at Tree Level
from Part III - Weak Decays in the StandardModel
Published online by Cambridge University Press: 11 June 2020
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
Summary
This is one of the most important steps in our expedition. Here we will first discuss the concept of the operator product expansion (OPE) and the renormalization group equations for the Wilson coefficient functions of the operators present in the SM. In this part we will first concentrate our discussion on the simplest operators: current-current operators.We will calculate their coefficients including not only leading QCD effects(LO) but also nonleading ones (NLO). In more complicated cases we will indicate how such calculations should be done and present only the results for them.
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- Gauge Theory of Weak Decays , pp. 103 - 129Publisher: Cambridge University PressPrint publication year: 2020