Optimizing the $θ_{23}$ octant search in long baseline neutrino experiments

Abstract

We study the possibility of determining the octant of the neutrino mixing angle $θ_{23}$, that is, whether $θ_{23}> 45^\circ$ or $θ_{23}<45^\circ$, in long baseline neutrino experiments. Here we numerically derived the sensitivity limits within which these experiments can determine, by measuring the probability of the $ν_μ\to ν_{e}$ transitions, the octant of $θ_{23}$ with a $5σ$ certainty. The interference of the CP violation angle $δ$ with these limits, as well as the effects of the baseline length and the run-time ratio of neutrino and antineutrino modes of the beam have been analyzed.

16 pages, 4 figures