Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-01-23
Phys.Rev. D68 (2003) 013010
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, Latex, 3 postscript figures
Scientific paper
10.1103/PhysRevD.68.013010
We present a general formalism for extracting information on the fundamental parameters associated with neutrino masses and mixings from two or more long baseline neutrino oscillation experiments. This formalism is then applied to the current most likely experiments using neutrino beams from the Japan Hadron Facility (JHF) and Fermilab's NuMI beamline. Different combinations of muon neutrino or muon anti-neutrino running are considered. To extract the type of neutrino mass hierarchy we make use of the matter effect. Contrary to naive expectation, we find that both beams using neutrinos is more suitable for determining the hierarchy provided that the neutrino energy divided by baseline ($E/L$) for NuMI is smaller than or equal to that of JHF. Whereas to determine the small mixing angle, $\theta_{13}$, and the CP or T violating phase $\delta$, one neutrino and the other anti-neutrino is most suitable. We make extensive use of bi-probability diagrams for both understanding and extracting the physics involved in such comparisons.
Minakata Hisakazu
Nunokawa Hiroshi
Parke Stephen
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