Implications of the Super-K atmospheric, long baseline, and reactor data for the mixing angles {theta}{sub 13} and {theta}{sub 23}
- Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235 (United States)
- Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506 (United States)
A three-neutrino analysis of oscillation data is performed using the recent, more finely binned Super-K oscillation data, together with the CHOOZ, K2K, and MINOS data. The solar parameters {Delta}{sub 21} and {theta}{sub 12} are fixed from a recent analysis and {Delta}{sub 32}, {theta}{sub 13}, and {theta}{sub 23} are varied. We utilize the full three-neutrino oscillation probability and an exact treatment of Earth's Mikheyev-Smirnov-Wolfenstein (MSW) effect with a castle-wall density. By including terms linear in {theta}{sub 13} and {epsilon}:={theta}{sub 23}-{pi}/4, we find asymmetric errors for these parameters {theta}{sub 13}=-0.07{sub -0.11}{sup +0.18} and {epsilon}=0.03{sub -0.15}{sup +0.09}. For {theta}{sub 13}, we see that the lower bound is primarily set by the CHOOZ experiment while the upper bound is determined by the low energy e-like events in the Super-K atmospheric data. We find that the parameters {theta}{sub 13} and {epsilon} are correlated--the preferred negative value of {theta}{sub 13} permits the preferred value of {theta}{sub 23} to be in the second octant, and the true value of {theta}{sub 13} affects the allowed region for {theta}{sub 23}.
- OSTI ID:
- 21386567
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 81, Issue 1; Other Information: DOI: 10.1103/PhysRevC.81.015501; (c) 2010 The American Physical Society; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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