Bachelor Topics for summer term 2024
Click on the titles to see more details, or have a look at the
slides
of my short presentation
on Friday, 26 January 2024.
To discuss in person, meet me in my office on Friday, 26 January 2024,
at 3pm.
To apply, follow the instructions
here,
where you can also find topics from the other members of
our institute.
Renormalization of effective field theories
Effective Field Theories (EFTs) are used to describe physics beyond
the Standard Model in a generic way. However, already in the
simplest case, the EFT derived from the Standard Model contains
around 100 field operators. A proper analysis requires the
renormalization of these operators, by which they can mix with each other.
However, not all operators mix with one another if one is only
interested in the first few terms of perturbation theory.
The goal of this project is to systematically
determine the sectors among the operators
which mix with one another under renormalization.
In this project, you will learn the basic concepts of Effective Field
Theories and renormalization.
The gradient flow for massive quarks
The gradient flow formalism provides a way relate perturbative
calculations to lattice calculations in QCD. Up to now, the perturbative
calculations have been mostly restricted to massless quarks. However,
quark mass effects can become important for large flow times.
The goal of this project is to study the gradient flow of QCD with
massive quarks. At lowest order, this can be studied analytically,
which shall then be crosschecked with a numerical and an approximate
analytical approach.
You will learn:
 The general method of the gradient flow.
 Approaches to calculating nonstandard Feynman integrals.
MonteCarlo speedup for crosssection predictions
Crosssection calculations play a central role in particle physics. Numerical integration is vital for making these prediction. The most commonly used method for integration is the MonteCarlo integration. As the integrals get more and more complicated, the basic MonteCarlo integration comes to its limits and has to be improved by variance reduction. Commonly used are importance sampling techniques like the VEGAS algorithm but recently also Machine Learning methods in the form of density estimators began to gain attention in the community.
The goal of this project is to study and implement variance reduction methods into our MonteCarlo integrator. You will learn the basics of MonteCarlo integration and variance reduction and gain insights into how cross sections are calculated. Here, an affinity to computer programming and familiarity with C or C++ is helpful.
Playing with Feynman diagrams
FeynGame is a tool to learn about the concept of
Feynman diagrams in a playful way. It allows to easily produce highquality
images of Feynman diagrams. In this project, you will design and implement
a new type of game into FeynGame, where the player must construct
valid Feynman diagrams from a given set of vertices.
You will learn:
 The algorithmic structure of Feynman diagrams.
Requirements:
 Interest in Feynman diagrams.
 Affinity to computer programming.
last updated on Jan 24, 2024 by RH
