Amplitudes and precision physics at the LHC
(An introduction to Feynman integrals)
The lecture "Amplitudes and precision physics at the LHC" (08.128.764) will be given online
in the summer term 2021.
The platform BigBlueButton will be used.
The course will use the flipped classroom concept:
Written material will be distributed to the students before the lecture, which the students are supposed
to read before the lecture.
In the lecture we will discuss the material.
The lecture starts on Monday, 12.04.2021 at 16:00h (s.t.) at the
virtual lecture room at BigBlueButton.
In the first lecture organisational issues will be discussed, physics topics will start on Wednesday, 14.04.2021.
The lecture course focuses on Feynman integrals, which are the essential tool for precision calculations at the LHC.
Students should be familiar with special relativity on the physics side and
the theory of complex functions (i.e. Cauchy's residue theorem) and differential forms on the mathematics side.
A knowledge of quantum field theory and/or algebraic geometry is helpful, but not a prerequisite.
The relevant topics from these fields are introduced as they are needed.
Topics to be covered are:
- Basics
- Graph polynomials
- Quantum field theory
- One-loop integrals
- Integration-by-parts and the method of differential equations
- Multiple polylogarithms
- Nested sums and GKZ hypergeometric functions
- Sector decomposition
- Hopf algebras and coactions
- Elliptic Feynman integrals
- Numerics