The standard model and beyond / Paul Langacker.

Format:

Book

Author/Creator:

Langacker, P.

Contributor:

Carl Hering Fund.

Series:

Series in high energy physics, cosmology, and gravitation

Language:

English

Subjects (All):

Standard model (Nuclear physics).

Physical Description:

xii, 663 pages : illustrations ; 25 cm.

Place of Publication:

Boca Raton [Fla.] : CRC Press/Taylor & Francis, [2010]

Summary:

The Standard Model and Beyond presents an advanced introduction to the physics and formalism of the standard model and other non-abelian gauge theories. Thoroughly covering gauge field theories, symmetries, and topics beyond the standard model, this text equips readers with the tools to understand the structure and phenomenological consequences of the standard model, to construct extensions, and to perform calculations at tree level. It establishes the necessary background for readers to carry out more advanced research in particle physics.

Features

Covers the fundamental interactions

Describes the construction, experimental tests, and phenomenological consequences of the standard model

Presents a self-contained treatment of the complicated technology needed for tree-level calculations

Explores applications in astrophysics and; cosmology

Lists many useful reference books, review articles, research papers, and Web links

Offers supplementary materials on the author's Web site

Contents:

1 Notation and Conventions 1

1.1 Problems 5

2 Review of Perturbative Field Theory 7

2.1 Creation and Annihilation Operators 7

2.2 Lagrangian Field Theory 9

2.3 The Hermitian Scalar Field 10

2.3.1 The Lagrangian and Equations of Motion 10

2.3.2 The Free Hermitian Scalar Field 12

2.3.3 The Feynman Rules 12

2.3.4 Kinematics and the Mandelstam Variables 15

2.3.5 The Cross Section and Decay Rate Formulae 17

2.3.6 Loop Effects 24

2.4 The Complex Scalar Field 25

2.4.1 U(1) Phase Symmetry and the Noether Theorem 27

2.5 Electromagnetic and Vector Fields 30

2.5.1 Massive Neutral Vector Field 32

2.6 Electromagnetic Interaction of Charged Pions 33

2.7 The Dirac Field 39

2.7.1 The Free Dirac Field 40

2.7.2 Dirac Matrices and Spinors 41

2.8 QED for Electrons and Positrons 50

2.9 Spin Effects and Spinor Calculations 56

2.10 The Discrete Symmetries P, C, CP, T, and CPT 58

2.11 Two-Component Notation and Independent Fields 71

2.12 Quantum Electrodynamics (QED) 74

2.12.1 Higher-Order Effects 75

2.12.2 The Running Coupling 78

2.12.3 Tests of QED 82

2.12.4 The Role of the Strong Interactions 87

2.13 Mass and Kinetic Mixing 94

2.14 Problems 97

3 Lie Groups, Lie Algebras, and Symmetries 103

3.1 Basic Concepts 103

3.1.1 Groups and Representations 103

3.1.2 Examples of Lie Groups 105

3.1.3 More on Representations and Groups 106

3.2 Global Symmetries in Field Theory 112

3.2.1 Transformation of Fields and States 112

3.2.2 Invariance (Symmetry) and the Noether Theorem 114

3.2.3 Isospin and SU(3) Symmetries 119

3.2.4 Chiral Symmetries 130

3.2.5 Discrete Symmetries 132

3.3 Symmetry Breaking and Realization 133

3.3.1 A Single Hermitian Scalar 133

3.3.2 A Digression on Topological Defects 136

3.3.3 A Complex Scalar: Explicit and Spontaneous Symmetry Breaking 137

3.3.4 Spontaneously Broken Chiral Symmetry 140

3.3.5 Field Redefinition 141

3.3.6 The Nambu-Goldstone Theorem 143

3.3.7 Boundedness of the Potential 145

3.3.8 Example: Two Complex Scalars 146

3.4 Problems 149

4 Gauge Theories 157

4.1 The Abelian Case 158

4.2 Non-Abelian Gauge Theories 160

4.3 The Higgs Mechanism 164

4.4 The R ξ Gauges 169

4.5 Anomalies 177

4.6 Problems 179

5 The Strong Interactions and QCD 183

5.1 The QCD Lagrangian 186

5.2 Evidence for QCD 188

5.3 Simple QCD Processes 193

5.4 The Running Coupling in Non-Abelian Theories 198

5.4.1 The RGE Equations for an Arbitrary Gauge Theory 199

5.5 Deep Inelastic Scattering 202

5.5.1 Deep Inelastic Kinematics 203

5.5.2 The Cross Section and Structure Functions 204

5.5.3 The Simple Quark Parton Model (SPM) 209

5.5.4 Corrections to the Simple Parton Model 213

5.6 Other Short Distance Processes 217

5.7 The Strong Interactions at Long Distances 220

5.8 The Symmetries of QCD 221

5.8.1 Continuous Flavor Symmetries 221

5.8.2 The (3*, 3) + (3,3*) Model 223

5.8.3 The Axial U(1) Problem 229

5.8.4 The Linear σ Model 232

5.8.5 The Nonlinear σ Model 235

5.9 Other Topics 236

5.10 Problems 237

6 The Weak Interactions 239

6.1 Origins of the Weak Interactions 239

6.2 The Fermi Theory of Charged Current Weak Interactions 245

6.2.1 μ Decay 250

6.2.2 ve e -νvee- 256

6.2.3 π and K Decays 258

6.2.4 Nonrenormalization of Charge and the Ademollo-Gatto Theorem 266

6.2.5 β Decay 268

6.2.6 Hyperon Decays 273

6.2.7 Heavy Quark and Lepton Decays 274

6.3 Problems 278

7 The Standard Electroweak Theory 281

7.1 The Standard Model Lagrangian 281

7.2 Spontaneous Symmetry Breaking 287

7.2.1 The Higgs Mechanism 287

7.2.2 The Lagrangian in Unitary Gauge after SSB 289

7.2.3 Effective Theories 304

7.2.4 The Rξ Gauges 306

7.3 The Z, the W, and the Weak Neutral Current 308

7.3.1 Purely Weak Processes 309

7.3.2 Weak-Electromagnetic Interference 321

7.3.3 Implications of the WNC Experiments 328

7.3.4 Precision Tests of the Standard Model 330

7.3.5 The Z-Pole and Above 340

7.3.6 Implications of the Precision Program 350

7.4 Gauge Self-Interactions 358

7.5 The Higgs 362

7.5.1 Theoretical Constraints 362

7.5.2 Experimental Constraints and Prospects 368

7.6 The CKM Matrix and CP Violation 371

7.6.1 The CKM Matrix 372

7.6.2 CP Violation and the Unitarity Triangle 376

7.6.3 The Neutral Kaon System 378

7.6.4 Mixing and CP Violation in the B System 391

7.6.5 Time Reversal Violation and Electric Dipole Moments 397

7.6.6 Flavor Changing Neutral Currents (FCNC) 401

7.7 Neutrino Mass and Mixing 404

7.7.1 Basic Concepts for Neutrino Mass 405

7.7.2 The Propagators for Majorana Fermions 417

7.7.3 Experiments and Observations 418

7.7.4 Neutrino Oscillations 425

7.7.5 The Spectrum 438

7.7.6 Models of Neutrino Mass 440

7.7.7 Implications of Neutrino Mass 446

7.8 Problems 447

8 Beyond the Standard Model 453

8.1 Problems with the Standard Model 453

8.2 Supersymmetry 463

8.2.1 Implications of Supersymmetry 463

8.2.2 Formalism 469

8.2.3 Supersymmetric Interactions 482

8.2.4 Supersymmetry Breaking and Mediation 490

8.2.5 The Minimal Supersymmetric Standard Model (MSSM) 493

8.2.6 Further Aspects of Supersymmetry 505

8.3 Extended Gauge Groups 508

8.3.1 SU(2) x U(l) x U(l)' Models 510

8.3.2 SU(2)L x SU(2)R x U(l) Models 519

8.4 Grand Unified Theories (GUTs) 525

8.4.1 The SU(5) Model 527

8.4.2 Beyond the Minimal SU(5) Model 534

8.5 Problems 537.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Carl Hering Fund.

ISBN:

9781420079067

1420079069

OCLC:

456420764

Publisher Number:

99936612825