Bachelor Thesis With Prof. Harlander in 2020

 

Higgs Strahlung induced by light quarks

Abstract:
The Higgs Strahlung process qq → ZH is one of the most important sources for information about the Higgs boson. A precise theoretical understanding requires the inclusion of sub-leading effects. In particular, the charm quark can play an important role in mediating or initiating this process. Its effect can be taken into account through a generalization of already existing effects, which is the goal of this project.

The student will learn:

  • The physics of the Higgs Strahlung process
  • Basics of its theoretical description

Requirements:

  • Basic programming skills
  • Interest in particle physics

Asymptotic Expansion and the Gradient-Flow

Abstract:
The gradient flow formalism has been suggested in 2010 to facilitate practical calculations in Lattice QCD. It has proven to be accessible also in perturbation theory and provides a promising link between the two approaches to strong interactions. In this project, you are going to develop means to calculate the resulting Feynman integrals in a systematic way.

The student will learn:

  • The general method of the gradient flow
  • Approaches to calculation non-standard integrals

Requirements:

  • Affinity to integral calculus

Feynman Diagrams as a Parlor Game

Abstract:
Feynman diagrams provide a very algorithmic way to generate and represent processes in particle physics. In this project, you will devise a generalization of the parlor game Scrabble to Feynman diagrams.

The student will learn:

  • The algorithmic structure of Feynman diagrams

Requirements:

  • Interest in Feynman diagrams
  • Affinity to computer programming

Arithmetics with Finite Fields

Abstract:
Finite Fields allow to restrict the size of intermediate expressions when dealing with large-scale calculations as the occur in modern calculations of theoretical particle physics. In this project, you will develop a Mathematica interface for our program FireFly which implements a number of efficient Finite Field algorithms.

The student will learn:

  • The concept of Finite Fields and their applications

Requirements:

  • Affinity to computer programming and algorithms