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Flavour Symmetries and Models of Neutrino Mixing

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Kolb,  Mathis
Werner Rodejohann - ERC Starting Grant, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society;

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Bachelor_Mathis_Kolb.pdf
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Citation

Kolb, M. (2012). Flavour Symmetries and Models of Neutrino Mixing. Bachelor Thesis, Ruprecht-Karls-Universität, Heidelberg.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-3EDE-7
Abstract
In my Bachelor thesis the theory of finite discrete groups is reviewed with respect to the alternating group A4. Neutrinos in the standard model and the implications of neutrino oscillations are discussed. The observation of massive neutrinos implies physics beyond the standard model. A popular mixing pattern for the leptonic mixing matrix the tri-bimaximal (TBM) mixing is presented. This mixing pattern causes a form of the neutrino mass matrix which can be specified by means of symmetries. These symmetries give rise to flavour symmetry models based on finite discrete groups. The special case of an A4 flavour symmetry is examined. Finally a general numerical analysis of the form of the neutrino mass matrix induced by the 9 parameters in the neutrino sector is performed. As the possible experimental deviations from TBM are rather large there exist some mass ranges for normal and inverted ordering showing considerable asymmetries compared to the pure TBM form.