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Instructors: Univ.-Prof. Dr. Matthias Neubert
Event type:
Lecture/practice class
Displayed in timetable as:
08.128.766
Hours per week:
4
Credits:
6,0
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Requirements / organisational issues:
Effective field theories are among the most useful and versatile tools in theoretical phsyics and find applications in all areas of physics. The course addresses Master and PhD students in theoretical physics, with an interest in the physics of elementary particles and quantum field theory. A solid knowledge of the introductory courses on theoretical phsyics is a prerequisite. A familiarity with the basic concepts of the Standard Modell of particle physics would be helpful but is not absolutely necessary. Every other week, the Thursday lecture will be used for exercises.
Compulsory attendance:
Regular participation in the lectures is highly recommended.
Contents:
1. Introduction to the concepts of effective quantum field theories:
- Motivation
- Integrating out heavy modes
- Effective action and Wilsonian operator product expansion
- Renormalization-group equations and solutions
- Redundant operators
2. Extension of the Standard Model as an effective field theory (SMEFT):
- Classification of the basis operators of dimension 5 and 6
- Elimination of redundant operators
- Construction of the Warsaw basis
- Scale evolution of the Wilson coefficients
- Applications
3. Introduction to Soft-Collinear Effective Theory (SCET):
- Effective field theory for heavy quarks (Heavy-Quark Effective Theory)
- Light, highly-energetic particles
- Effective Lagrangian of SCET
- Collinear anomaly
- Simple applications of SCET
4. Advanced methods and applications:
- Scattering processes at hadron colliders
- Rare decays of B mesons
- Derivation of the soft theorem
- Soft-collinear gravity
Recommended reading list:
M. Neubert: Effective Field Theory and Heavy-Quark Physics,
TASI 2004 Lecture Notes, e-Print: hep-ph/0512222
M. Neubert: Renormalization Theory and Effective Field Theories,
Les Houches Lect. Notes 108 (2020), e-Print: arXiv:1901.06573
I. Brivio and M. Trott: The Standard Model as an Effective Field Theory,
Phys. Rept. 793 (2019) 1-98, e-Print: arXiv:1706.08945
T. Becher, A. Broggio and A. Ferriglia: Introduction to Soft-Collinear Effective Theory,
Lect. Notes Phys. 896 (2015) pp.1-206, e-Print: arXiv:1410.1892
Additional information:
The course is highly recommended for all students seeking to do a Master or PhD thesis in theoretical high-energy physics.
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