Electron Neutrino and Antineutrino Appearance in the Full MINOS Data Sample

Abstract

We report on ${\ensuremath{\nu}}_{e}$ and ${\overline{\ensuremath{\nu}}}_{e}$ appearance in ${\ensuremath{\nu}}_{\ensuremath{\mu}}$ and ${\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}}$ beams using the full MINOS data sample. The comparison of these ${\ensuremath{\nu}}_{e}$ and ${\overline{\ensuremath{\nu}}}_{e}$ appearance data at a 735 km baseline with ${\ensuremath{\theta}}_{13}$ measurements by reactor experiments probes $\ensuremath{\delta}$, the ${\ensuremath{\theta}}_{23}$ octant degeneracy, and the mass hierarchy. This analysis is the first use of this technique and includes the first accelerator long-baseline search for ${\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}}\ensuremath{\rightarrow}{\overline{\ensuremath{\nu}}}_{e}$. Our data disfavor 31% (5%) of the three-parameter space defined by $\ensuremath{\delta}$, the octant of the ${\ensuremath{\theta}}_{23}$, and the mass hierarchy at the 68% (90%) C.L. We measure a value of $2{sin}^{2}(2{\ensuremath{\theta}}_{13}){sin}^{2}({\ensuremath{\theta}}_{23})$ that is consistent with reactor experiments.