Gauge Theories of Weak Decays (Cambridge Monographs on Particle Physics, Nuclear Physics an)

Contents
Preface
Acknowledgments
List of Abbreviations
Introduction
	Grand View of the Standard Model
	Grand View of New Physics
	The Grand View of the Expedition and the Strategy
	Introducing Main Players
	How to Use This Book Optimally
Part I Basics of Gauge Theories
	1 Fundamentals
		1.1 Preliminaries
		1.2 Lagrangians for Scalar Fields
		1.3 First Encounter with Symmetries
		1.4 Checking the Symmetries of Scalar Lagrangians
		1.5 Promotion of a Global U(1) Symmetry to a Local U(1) Symmetry
		1.6 A Closer Look at the U(1) Gauge Theory
		1.7 Nonabelian Global Symmetries
		1.8 Promotion of a Global Nonabelian Symmetry to a Local One
		1.9 Lagrangians for Fermions
		1.10 Spontaneous Symmetry Breakdown (SSB)
		1.11 Higgs Mechanism
Part II The Standard Model
	2 The Standard Model of Electroweak and Strong Interactions
		2.1 Particle Content and Gauge Group of the SM
		2.2 Short Overview: Lagrangian of the SM
		2.3 Spontaneous Symmetry Breakdown in the SM
		2.4 Gauge Boson Self-Interactions
		2.5 Flavor Structure of the SM
		2.6 Lepton Flavor Violation
		2.7 Quantumchromodynamics (QCD)
		2.8 Final Remarks
Part III Weak Decays in the Standard Model
	3 Weak Decays at Tree Level
		3.1 Muon Decay
		3.2 Leptonic Decays of Charged Mesons
		3.3 Semileptonic Decays of Charged Mesons
		3.4 The Determination of |Vcb | and |Vub |
		3.5 Leptonic and Semileptonic Decays of Neutral Mesons
		3.6 Nonleptonic Decays of Mesons
		3.7 Summary and Motivation
	4 Technology beyond Trees
		4.1 Loop Calculations
		4.2 Renormalization
		4.3 Renormalization Group Equations
	5 Short-Distance Structure of Weak Decays
		5.1 Operator Product Expansion in Weak Decays
		5.2 Current-Current Operators beyond Leading Order
	6 Effective Hamiltonians for FCNC Processes
		6.1 Overture: General View of FCNC Processes
		6.2 Calculations of Basic One-Loop Functions
		6.3 ΔF =2 Transitions
		6.4 The World of Penguins
		6.5 B → Xsγ Decay
		6.6 b → sℓ+ℓ− and d → sℓ+ℓ− Transitions
		6.7 d → sνν¯ and b → sνν¯ Transitions
	7 Nonperturbative Methods in Weak Decays
		7.1 General View
		7.2 Dual QCD Approach
		7.3 Lattice QCD Results
		7.4 QCD Factorization for Exclusive B Decays
		7.5 Heavy Quark Effective Theory (HQET) and Heavy Quark Expansions (HQE)
		7.6 Other Nonperturbative Methods
	8 Particle-Antiparticle Mixing and CP Violation in the Standard Model
		8.1 Particle-Antiparticle Mixing
		8.2 Bq Decays into CP Eigenstates
		8.3 Classification of CP Violation
		8.4 Standard Analysis of the Unitarity Triangle (UT)
		8.5 The Angles α, β, and γ from Bd,s Decays
		8.6 B → πK Decays
	9 Rare B and K Decays in the Standard Model
		9.1 B¯ → K¯*ℓ+ℓ− and B¯ → K¯ℓ+ℓ−
		9.2 Bs,d → μ+μ− and Bs,d → τ+τ−, e+e−
		9.3 B+ → τ+ντ
		9.4 B¯ → Dℓν¯l, B¯ → D*ℓν¯l, Bc → J/ψℓν¯l, and Λb → Λcℓν¯l
		9.5 K+ → π+νν¯ and KL → π0νν¯
		9.6 B → K* νν¯, B → Kνν¯, and B → Xsνν¯
		9.7 KL,S → μ+μ− and KL → π0ℓ+ℓ−
	10 ε′/ε in the Standard Model
		10.1 Preliminaries
		10.2 Basic Formulas
		10.3 Hadronic Matrix Elements
		10.4 A Convenient Formula for ε′/ε in the SM
		10.5 Numerical Analysis of ε′/ε
	11 Charm Flavor Physics
		11.1 Preliminaries
		11.2 D0 − D¯0 Mixing
		11.3 CP Asymmetries in D Decays
		11.4 Connection between D and K Physics
	12 Status of Flavor Physics within the Standard Model
		12.1 Successes
		12.2 Summary of the Anomalies
		12.3 Implications for the Wilson Coefficients
Part IV Weak Decays beyond the Standard Model
	13 First Steps beyond the Standard Model
		13.1 Preliminaries
		13.2 ΔF =2 Transitions
		13.3 ΔF =1 Nonleptonic Operators
	14 Standard Model Effective Field Theory
		14.1 Basic Framework
		14.2 Full Set of Dimension-6 Operators
		14.3 Rotations in the Flavor Space
		14.4 Renormalization Group Equations
		14.5 SU(2)L Correlations between b → sνν¯ and b → sℓ+ℓ−
		14.6 General Procedure and Useful Results
		14.7 ε′/ε beyond the SM
	15 Simplest Extensions of the SM
		15.1 Minimal Flavor Violation
		15.2 2HDMMFV
		15.3 Beyond MFV: Models with U(2)3 Symmetry
		15.4 Beyond MFV: Z′ Boson
		15.5 Beyond MFV: Z Boson with FCNC
		15.6 Beyond MFV: Right-Handed W′
		15.7 Beyond MFV: Neutral Scalars and Pseudoscalars
		15.8 Beyond MFV: Charged Scalar Exchanges
		15.9 Beyond MFV: Colored Gauge Bosons and Scalars
	16 Specific Models
		16.1 Preliminaries
		16.2 331 Models
		16.3 Vector-Like Quarks and Leptons
		16.4 Leptoquark Models
	17 Beyond Quark Flavor Physics
		17.1 General View
		17.2 Lepton Flavor Violation
		17.3 Electric Dipole Moments (EDMs)
		17.4 Anomalous Magnetic Moments (g − 2)μ,e
		17.5 Neutrino Oscillations
	18 Grand Summary of New Physics Models
		18.1 Preliminaries
		18.2 General Observations on B Physics Anomalies
		18.3 Tree-Level Mediators
		18.4 Kaon Physics
		18.5 Generalities
	19 Flavor Expedition to the Zeptouniverse
		19.1 Preliminaries
		19.2 Basic Requirements for a Successful Zeptouniverse Expedition
		19.3 Classifying Correlations between Various Observables
		19.4 DNA Charts
		19.5 Can We Reach the Zeptouniverse with Rare K and Bs,d Decays?
	20 Summary and Shopping List
Appendix A Dirac Algebra, Spinors, Pauliand Gell-Mann Matrices
	A.1 Dirac Algebra and Spinors
	A.2 Pauli and Gell-Mann Matrices
	A.3 Fierz Identities
Appendix B Feynman Rules of the Standard Model
	B.1 Preliminaries
	B.2 Gauge Boson Propagators
	B.3 Fermion and Scalar Propagators
	B.4 Fermion–Gauge Boson Couplings
	B.5 Fermion–Goldstone (Higgs) Boson Couplings
	B.6 Gauge Boson Self-Interactions
	B.7 Gauge Boson–Goldstone (Higgs) Interactions
Appendix C Massive Loop Integrals
	C.1 Integrals with Two Propagators
	C.2 Integrals with Three Propagators
	C.3 Integrals with Four Propagators
	C.4 More Complicated Integrals
Appendix D Numerical Input
Appendix E Analytic Solutions to SMEFT RG Equations
References
Index