Another possible way to determine the neutrino mass hierarchy

Abstract

We show that by combining high precision measurements of the atmospheric $\ensuremath{\delta}{m}^{2}$ in both the electron and muon neutrino (or antineutrino) disappearance channels one can determine the neutrino mass hierarchy. The required precision is a very challenging fraction of one per cent for both measurements. At even higher precision, sensitivity to the cosine of the $CP$ violating phase is also possible. This method for determining the mass hierarchy of the neutrino sector does not depend on matter effects.