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Neutrino Mass Generation in Conformally Invariant Theories


Schmidt,  Steffen
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Schmidt, S. (2013). Neutrino Mass Generation in Conformally Invariant Theories. Master Thesis, Ruprecht-Karls-Universität, Heidelberg.

The aim of this thesis is to give a systematic overview of how neutrino masses can be generated in conformally invariant theories. This is done by revisiting well-known scenarios of neutrino mass generation and deducing conformally invariant realizations, where differences in the necessary particle content and the physical implications are highlighted. In this context rules that have to be obeyed when building neutrino masses in conformal theories as well as topological possibilities and impossibilities under relatively general assumptions are elaborated. In this work we systematically analyze the neutrino mass matrix M, which summarizes the properties of a mass generation mechanism. Models are distinguished by their implications on the mass matrix and by their particle content. As additional symmetries have inuence on the general form of M and tree-level and radiative scenarios affect the scale of its entries differently, both criteria play a crucial role in the distinction of models. For a simple conformal model containing sterile neutrinos a phenomenological study is performed showing the viable areas in parameter space of the coupling constants.