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Introduction to soft-collinear effective field theory (SCET)
- Oggetto:
Introduction to soft-collinear effective field theory (SCET)
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Academic year 2022/2023
- Teacher
- Leonardo Vernazza (Lecturer)
- Degree course
- PhD in Physics
- Teaching period
- Second semester
- Type
- Basic
- Credits/Recognition
- 16 hrs
- Course disciplinary sector (SSD)
- FIS/02 - theoretical physics, mathematical models and methods
- Delivery
- Traditional
- Language
- English
- Attendance
- Obligatory
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Sommario del corso
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Course delivery
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Program
The course will present basic elements of effective field theories, focusing in particular on soft collinear effective field theory applied to scattering processes at hadron colliders.
The concept of effective field theory will be introduced in the first two lectures. To this end we will discuss tools such as the method of expansion by momentum regions, the operator product expansion and the renormalization-group improved perturbation theory. In turn, these ideas will be applied to the effective weak interactions.
As a warm-up for soft-collinear effective theory, the third lecture will present an application of soft effective theory (SET) to electron-electron scattering in QED.
SCET will be introduced in the fourth and fifth lectures. Starting point will be the momentum region analysis of the Sudakov form factor, then we will derive the SCET Lagrangian and discuss the QCD vector current and its renormalization in SCET.
Last, In the sixth lecture we will apply SCET to the resummation of large logarithms appearing in the Drell-Yan process near threshold.
Prerequisites: quantum field theory.
Suggested readings and bibliography
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https://inspirehep.net/literature/700765
https://inspirehep.net/literature/1320996
https://inspirehep.net/literature/1662140
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