Counting Electrons to Probe the Neutrino Mass Hierarchy

Abstract

After the successful measurement of the mixing angle ${\theta }_{13}$, the determination of the neutrino mass hierarchy has become a priority for future neutrino experiments. We propose a conventional ${\nu }_{\mu }$ beam with neutrino energies in the range 2-8 GeV aimed at a Mton underwater detector at the "magic" baseline of 2600 km. In this constellation it is sufficient to distinguish (${\nu }_{\mu }$ induced) track-like interactions from cascade-like interactions with moderate purity to determine the mass hierarchy.