Introduction to the Standard Model and Beyond

Develops a practical understanding of the theoretical concepts required to understand the Standard Model for a two-semester graduate course.

Part I. Getting Started: 1. Notation; Part II. Symmetries and Quantum Field Theory: 2. Poincare Invariance; 3. Spin; 4. Completeness and Normalization; 5. Quantum Mechanics; 6. Unitarity and Partial Waves; 7. Introduction to Field Theory; 8. Complex Scalar Field; 9. Spin 1/2 Particles; 10. Weyl Spinors; 11. Spin 1 Particles; 12. The S Matrix in Field Theory; Part III. Quantum Electrodynamics: 13. QED; 14. Magnetic Moments in QED; 15. The Size of the Proton; Part IV. Discrete Symmetries and their Consequences: 16. Charge Conjugation and Parity; 17. Time Reversal Invariance; 18. CPT Theorem; Part V. Flavor Symmetries: 19. Global Symmetries; 20. Testing Isospin and G Parity; 21. Evidence for New Particles, Quantum Numbers and Interactions; 22. Representation Theory for SU(2); 23. SU(3) Symmetry; 24. Tests of SU(3) Symmetry; Part VI. Spontaneous Symmetry Breaking: 25. Spontaneous Symmetry Breaking; 26. Spontaneous Symmetry Breaking in Hadronic Physics; 27. Current Algebra and the Adler-Weisberger relation; Part VII. Road to the Standard Model: QCD: 28. QCD; 29. Quantizing Non-Abelian Gauge Theory; 30. Renormalization; 31. Deep Inelastic e N Scattering; 32. LHC Physics and Parton Distribution Functions; Part VIII. Road to the SM: Electroweak Theory: 33. The Electroweak Theory; 34. Electroweak Symmetry Breaking; 35. Electroweak Phenomenon; 36. Deep Inelastic Scattering Revisited; 37. Weak Interactions of Quarks; Part IX. The Standard Model: 38. Three Family Model; 39. Determining VCKM and Quark Masses; 40. CP violating parameters K and K; 41. Effective Field Theories; 42. Anomalies; Part X. Neutrino Oscillations: 43. Neutrino Oscillations: Atmospheric; 44. Neutrino Oscillations: Solar; 45. Neutrino Oscillations Continued: Neutrino Mass and Mixing Angles; Part XI. Grand Unification: 46. Grand Unification; 47. Supersymmetry; 48. Superfields; 49. SUSY SU(5); Part XII. Minimal Supersymmetric Standard Model: 50. Supersymmetric Standard Model; 51. Spontaneous SUSY Breaking; 52. MSSM Phenomenology; Part XIII. Second Semester Projects: 53. Suggested Term Projects 1; 54. Suggested Term Projects 2; Part XIV. Appendices: Appendix A: Gell-Mann-Low Theorem; Appendix B: Wick's Theorem; Appendix C: One Loop Calculations in QED; Appendix D: Renormalization in QED; Appendix E: Triangle Anomaly.