Analyzing Atmospheric Neutrino Oscillations
- Department of Physics and Astronomy Vanderbilt University Nashville, TN, 37235 (United States)
- Department of Physics and Astronomy University of Kentucky, Lexington, KY, 40506 (United States)
We provide a pedagogic derivation of the formula needed to analyze atmospheric data and then derive, for the subset of the data that are fully-contained events, an analysis tool that is quantitative and numerically efficient. Results for the full set of neutrino oscillation data are then presented. We find the following preliminary results: 1.) the sub-dominant approximation provides reasonable values for the best fit parameters for {delta}{sub 32}, {theta}{sub 23}, and {theta}{sub 13} but does not quantitatively provide the errors for these three parameters; 2.) the size of the MSW effect is suppressed in the sub-dominant approximation; 3.) the MSW effect reduces somewhat the extracted error for {delta}{sub 32}, more so for {theta}{sub 23} and {theta}{sub 13}; 4.) atmospheric data alone constrains the allowed values of {theta}{sub 13} only in the sub-dominant approximation, the full three neutrino calculations requires CHOOZ to get a clean constraint; 5.) the linear in {theta}{sub 13} terms are not negligible; and 6.) the minimum value of {theta}{sub 13} is found to be negative, but at a statistically insignificant level.
- OSTI ID:
- 21036034
- Journal Information:
- AIP Conference Proceedings, Vol. 947, Issue 1; Conference: 7. Latin American symposium on nuclear physics and applications, Cusco (Peru), 11-16 Jun 2007; Other Information: DOI: 10.1063/1.2813808; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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