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KATRIN
Abstract:
Lorentz invariance is a central part of modern physics. However, some theories that try to combine quantum field theory and general relativity, argue that Lorentz invariance might be violated and is not an exact symmetry. To test Lorentz violation (LV), a Standard Model extension was developed, which includes LV operators. Many of those are already constrained by experiments. However, for the aμ-type Lorentz violation there are no current limits in the neutrino sector. The Karlsruhe Tritium Neutrino (KATRIN) experiment, which aims to measure the effective mass of the electron anti-neutrino, can be used to investigate effects caused by this Lorentz violation mode. In this thesis the sensitivity of the KATRIN experiment to this type of Lorentz invariance violation is studied. In particular a possible oscillation and shift of the endpoint of the Tritium spectrum is investigated. Using a Bayesian as well as a frequentist analysis it is shown that the KATRIN experiment has the sensitivity to set the first limit on this LV parameter.