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Master Topics for winter term 2020/2021
Click to see more details.
Application for this term is closed.
The gradient flow at large flow times
The gradient flow is a concept which provides a potential bridge between
perturbative and nonperturbative physics. The crucial parameter switching between these two regimes is the flow time t.
In this project, you will learn the concepts of the gradient flow
and develop methods to extrapolate the perturbative smallt region
to the nonperturbative larget regime. This will help to combine
perturbative and lattice results for the determination of
fundamental QCD parameters.
Related publications from our group:

R.V. Harlander, F. Lange, T. Neumann,
Hadronic vacuum polarization using gradient flow
JHEP 08 (2020) 109
[arXiv:2007.01057]

R.V. Harlander, Y. Kluth, and F. Lange,
The twoloop energymomentum tensor within the gradientflow formalism
Eur. Phys. J. C78 (2018) 944
[err. ibid. C79 (2019) 858]
[arXiv:1808.09837]

J. Artz, R.V. Harlander, F. Lange, T. Neumann, and M. Prausa,
Results and techniques for higher order calculations within the gradient flow formalism
JHEP 06 (2019) 121
[err. ibid. 10 (2019) 032]
[arXiv:1905.00882]

R.V. Harlander and T. Neumann,
The perturbative QCD gradient flow to three loops
JHEP 06 (2016) 161
[arXiv:1606.03756]
Loops on Finite Fields
Quantum effects can tell us something about physics beyond the
Standard Model. In order to fully capture such effects, one needs to develop
new theoretical methods to calculate loops in Feynman diagrams. Finite Fields
have turned out to be a promising avenue.
In this project, you will learn, develop, and apply modern
techniques for the calculation
of quantum effects in particle physics. You will contribute to the
precise theoretical determination of important observables at the LHC.
Related publications from our group:
Effective Field Theories to arbitrary orders
Effective Field Theories can describe physics beyond the Standard Model in a
generic way. Their construction is algorithmic, but very
cumbersome.
In this project, you will learn the concepts of Effective Field Theories and
develop an algorithm for their construction. This will be
useful for the interpretation of data collected at the LHC and
future colliders, in particular in the light of possible new discoveries.
Previous master thesis on this topic:
 Joshua Rosaler (June 2020, RWTH Aachen),
EFTGen: An Algorithm for Automatic Generation of Higher Dimensional Operators in Effective Field Theory
last updated on Sep 16, 2020 by RH
