Scattering Amplitudes
This course provides an introduction to modern methods in the theory of On-Shell Scattering Amplitudes in (perturbative) Quantum Field Theory, which find their primary application in high-energy physics and in N=4 supersymmetric Yang-Mills theories. A rough program will be
- Spinor helicity formalism for Scattering Amplitudes
- Tree-Level amplitudes, colour decomposition and primitive amplitudes
- On-shell recursion techniques (BCFW)
- Loop amplitudes, UV and IR divergences
- Generalised Unitarity for one-loop scattering amplitudes
- General results for multiloop scattering amplitudes
- Integration-by-parts identities, differential equations and canonical bases
- Feynman Integrals in modern language: period integrals, special numbers and special functions
- An introduction to (Chen) iterated integrals: the special case of Multiple Polylogarithms
- The Symbol Map and functional relations
General Information
Classes take place every week on Monday and Wednesday.
Monday 10:15-11:45: in PH 2271
Wednesday 14:15-15:45: in PH 2271
Exercise classes: (NOTE THE CHANGE OF TIME)
Monday 08:30-10:00: in PH 2271
Tutor: Tom Stone
IMPORTANT INFO:
- There will be a lecture instead of a tutorial on Monday, 27th of April. Note that the lecture will be at 08:30 am. The exercise class will take place on Wednesday at 2pm.
- There will be a lecture instead of a tutorial on Monday, 4th of May. Note that the lecture will be at 08:30 am. The exercise class will take place on Wednesday at 2pm.
- There will be a lecture instead of a tutorial on Monday, 11th of May. Note that the lecture will be at 08:30 am. The exercise class will take place on Wednesday at 2pm.
There will be a lecture instead of a tutorial on Monday, 18th of May . Note that the lecture will be at 08:30 am. The exercise class will take place on Wednesday at 2pm.
Lecture notes
Here we will upload the lecture notes for the course.
Part 1: on-shell methods and tree-level amplitudes
Part 2: one-loop methods
Exercise Sheets
Here we will upload the exercise sheets (and the solutions after the relevant exercise class has taken place). Please report any mistakes/typos to Tom Stone.
- Scattering_Amplitudes_2026_Exercise_Sheet_01.pdf
- Scattering_Amplitudes_2026_Solutions_1.pdf
- Scattering_Amplitudes_2026_Exercise_Sheet_02.pdf
- Scattering_Amplitudes_2026_Solutions_2.pdf
- Scattering_Amplitudes_2026_Exercise_Sheet_3.pdf
- Scattering_Amplitudes_2026_Solutions_3.pdf
- Scattering_Amplitudes_2026_Exercise_Sheet_04.pdf
- Scattering_Amplitudes_2026_Solutions_4.pdf
- Scattering_Amplitudes_2026_Exercise_Sheet_5.pdf
- Scattering_Amplitudes_2026_Solutions_5.pdf
- Scattering_Amplitudes_2026_Exercise_Sheet_06.pdf
- Scattering_Amplitudes_2026_Solutions_6.pdf
- Scattering_Amplitudes_2026_Exercise_Sheet_07.pdf
- Scattering_Amplitudes_2026_Exercise_Sheet_08.pdf