Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-01-16
Physics
High Energy Physics
High Energy Physics - Phenomenology
154 pages, 7 eps figures attached, two style files (psfig, vustyle) attached. Dissertation for August, 1997 degree at Vanderbi
Scientific paper
Many experiments are currently looking for evidence of neutrino mass in the form of neutrino oscillations. Oscillation probabilities are non-linear functions of the neutrino mixing matrix elements, so most comparisons of data to theory are based on simplifying models of the mixing matrix. We begin this dissertation with a review of neutrino interactions and a few of the popular models describing neutrino masses and mixing. Next we present our model-independent description of neutrino oscillations and derive the predictions of various models in terms of our new ``box'' parameterization. Finally, we use our boxes to find mixing matrices consistent with existing neutrino data. As more definitive data becomes available, these solutions will probably need to be adjusted; when such a need arises, our box notation will provide a convenient method for finding new solutions.
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