Correlations between $θ_{13}$ and $θ_{23}$ in a very long baseline neutrino oscillation experiment

Details Correlations between $θ_{13}$ and $θ_{23}$ in a very long baseline neutrino oscillation experiment Correlations between $θ_{13}$ and $θ_{23}$ in a very long baseline neutrino oscillation experiment

2005-07-12

arxiv.org/abs/nucl-th/0507032v1

Phys.Rev. C72 (2005) 045502

Physics

Nuclear Physics

Nuclear Theory

8 pages, 3 figures

Scientific paper

10.1103/PhysRevC.72.045502

A very long baseline experiment, with $L/E$ of $1.6 \times 10^4$ m/MeV, has been proposed as the ideal means to measure $\theta_{13}$, including its sign, for neutrino energies less than 50 MeV. Higher energies require consideration of the earth MSW effect. Approximating a constant density mantle, we examine the $\nu_e$--$\nu_\mu$ and $\nu_\mu$--$\nu_\mu$ oscillation channels at very long baselines with particular focus upon the deviation of $\theta_{23}$ from maximal mixing and the sign of $\theta_{13}$. It is demonstrated that measurements of these oscillation channels in this region are sensitive to $\theta_{13}$, including its sign, and to $\theta_{23}$, including its octant, with a significant correlation between the value of $\theta_{13}$ and the difference of $\theta_{23}$ from maximal mixing.

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