Implications of the Super-K atmospheric data for the mixing angles $\theta_{13}$ and $\theta_{23}$
| Autor: | Roa, J. E., Latimer, D. C., Ernst, D. J. |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Phys.Rev.C81:015501,2010 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.81.015501 |
| Popis: | 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, $\Delta_{21}$ and $\theta_{12}$, are fixed from a recent analysis, and $\Delta_{32}$, $\theta_{13}$, and $\theta_{23}$ are varied. We utilize the full three-neutrino oscillation probability and an exact treatment of the Earth's MSW effect with a castle-wall density. By including terms linear in $\theta_{13}$ and $\varepsilon := \theta_{23} - \pi/4$, we find asymmetric errors for these parameters $\theta_{13}=-0.07^{+0.18}_{-0.11}$ and $\varepsilon=0.03^{+0.09}_{-0.15}$. For $\theta_{13}$, 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 $\theta_{13}$ and $\varepsilon$ are correlated -- the preferred negative value of $\theta_{13}$ permits the preferred value of $\theta_{23}$ to be in the second octant, and the true value of $\theta_{13}$ affects the allowed region for $\theta_{23}$. Comment: 15 pages, 13 figures, submitted to Phys. Rev. C |
| Databáze: | arXiv |
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