Advanced Methods for Collider Physics
Course coordinators: Prof. Dr. Lorenzo Tancredi, Prof. Dr. Giulia Zanderighi
Lecturers: Dr. Federico Buccioni, Dr. Rhorry Gauld, Dr. Christoph Nega, Dr. Marco Niggetiedt, Prof. Dr. Lorenzo Tancredi, Dr. Marius Wiesemann
This block course covers advanced analytical and numerical methods for collider physics calculations. It spans two weeks, W1 and W2, and is structured as follows:
- introduction (W1): review of QCD Feynman rules and basics of scattering amplitudes
- loop amplitudes (W1): tensor decomposition and scalar integrals, integration-by-parts identities and differential equations, canonical bases, iterated integrals and different types of special functions (MPLs), Frobenius method and asymptotic expansion
- from amplitudes to observables (W2): perturbative corrections, soft and collinear singularities, infrared finiteness and partonic cross sections, Higgs-boson production at NLO-QCD as a case study
- QCD phenomenology at the LHC (W2): proton structure and PDFs, basics of Monte Carlo integration, Jets and Hadrons, fragmentation functions, matching of fixed-order calculations with parton showers
General information
Course Feedback Form: docs.google.com/forms/d/e/1FAIpQLSd7x9vMrBiwm55nWDG8nGFNPDLLjeNhT5hgg7ffcj3J3BRuSw/viewform
NEWS: SPECIAL TIME/DATE. The introductory lecture to Resummation, Parton Shower and Matching has been moved to Mon 03/03/2025 , starting at 9:00 am, in 5101.EG.503 (Physik Hörsaal 3)
IMPORTANT: CHANGE OF ROOM. The course will take place every day, starting at 9:15 am, in 5101.EG.503 (Physik Hörsaal 3)
The course will take place over two weeks at the end of the Vorlesungszeit WS24/25: from February 17th to February 28th.
Time: Monday, Tuesday and Wednesday, 3 hours in the morning and 3 hours in the afternoon, for a total of approximately 24hrs of lectures and 12hrs of exercises. The exercise classes will include hands-on sessions and tutorials.
Location: TUM, Physics Department, Garching. Room: 5101.EG.503 (Physik Hörsaal 3)
The exact lecture dates will be:
| 17.02 | 18.02 | 19.02 |
| 24.02 | 25.02 | 26.02 |
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09-10 | Lecture 1 | Lecture 5 | Lecture 9 |
| Lecture 13 | Lecture 17 | Lecture 21 |
10-11 | Lecture 2 | Lecture 6 | Lecture 10 |
| Lecture 14 | Lecture 18 | Lecture 22 |
11-12 | Lecture 3 | Lecture 7 | Lecture 11 |
| Lecture 15 | Lecture 19 | Lecture 23 |
12-14 | Lunch break | Lunch break | Lunch break |
| Lunch break | Lunch break | Lunch break |
14-15 | Lecture 4 | Lecture 8 | Lecture 12 |
| Lecture 16 | Lecture 20 | Lecture 24 |
15-16 | Tutorial | Tutorial | Tutorial |
| Tutorial | Tutorial | Tutorial |
16-17 | Tutorial | Tutorial | Tutorial |
| Tutorial | Tutorial | Tutorial |
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Exercises
Here we will upload the exercises for each day
Lecture notes
Here we will upload lecture notes
- Day 1: Tensor decomposition and IBPs (Tancredi)
- Day 2: Intro to differential equations (Niggetiedt)
- Day 2: Differential Equations 1 (Nega) exercises included in lectures
- Day 3: Differential Equations 2 (Nega) exercises included in lectures
- Day 3: Differential Equations 4 (Nega) exercises included in lectures
- Day 3: Differential Equations 3 (Nega) exercises included in lectures
- Day 3: Asymptotic expansion (Niggetiedt)
- Day 4: Drell-Yan Cross Section at NLO QCD (Buccioni)
- Day 7: Resummation, PS and Matching (Wiesemann)