Introduction to Effective Theories in Particle Physics
Lecture: Technical University Munich, SS 2004
Prerequisits
- concepts of quantum field theory
- Standard Model of particle physics
- being comfortable computing Feynman diagrams
Aims
- Learning how to construct and apply effective field theories.
- Deepen and widen concepts of renormalization and renormalization group equations..
- Have some fun, ... after all.
Textbooks
- Heavy Quark Physics, by Aneesh V. Manohar and Mark B. Wise, Cambridge University Press
- Weak Interactions and Modern Particle Theory, by H. Georgi (out of
print ... but available here for free!)
- Dynamics of the Standard Model, by J. F. Donoghue, E. Golowich, B. R. Holstein,
Cambridge University Press
Other useful References
- An Introduction to Quantum Field Theory, M. E. Peskin and
D.V. Schroeder, Perseus Books/Addison Wesley. There is an official
list of errors and misprints.
- Renormalization, by J. Collins, Cambridge University Press
- Gauge Theory of Elementary Particle Physics, T.-P. Cheng and
L.F. Li, Oxford University Press
Lecture
Start: April 19, 2004
Monday, 9:00 - 11:00 (PH HS3 Garching), Wednesday, 11:00 - 13:00 (PH 227 Garching)
Office Hours
There are none. If you have questions contact me anytime.
Homework Problems
- Homework problems will be given out in class weekly.
- Instructor for exercises: Dipl. Phys. Felix Schwab.
- The homework problems will be discussed in a special exercise
class given by Felix. Times for the exercise sessions will be fixed by Felix during the
first class on April 19.
- Homework sheets can be found here.
Syllabus
- Introductory Part
- Review of the Standard Model
- Standard Model as part of an effective theory.
- Renormalization and Loops, Part I
- Decoupling,
- EFT for QED with massive fermions,
- EFT for the Standard Model for heavy top, W, Z
- Unification of gauge couplings
- Renormalization and Loops, Part II (mixing)
- General Aspects of QCD
- Heavy-Quark-Effective Theory
- Symmetries, Action, Power Counting
- Form Factors, CKM Matrix Elements
- Radiative Corrections, Renormalization
- Non-perturbative Corrections
- Inclusive, Semileptonic Decays
- Non-relativistic QCD
- Degrees of Freedom, Action, Velocity Power Counting
- Velocity Renormalization Group
- Top-Antitop Threshold
- Lamb-Shift
- Chiral Perturbation Theory
- Chiral Symmetry, Anomalies, Power Counting
- Electromagnetic Processes
- Pion, Kaon Processes
- Processes with heavy Mesons
- QCD Factorization, Soft Collinear Effective Theory
- Collinear Fields and Operators, Symmetries, Power Counting
- Factorization
- Form Factors
- Deep Inelastic Scattering
- B Decays into light Hadrons