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Large mass ice/water Cherenkov experiments, optimized to detect low energy(1-20 GeV) atmospheric neutrinos, have the potential to discriminate betweennormal and inverted neutrino mass hierarchies. The sensitivity depends onseveral model and detector parameters, such as the neutrino flux profile andnormalization, the Earth density profile, the oscillation parameteruncertainties, and the detector effective mass and resolution. A properevaluation of the mass hierarchy discrimination power requires a robuststatistical approach. In this work, the Toy Monte Carlo, based on an extendedunbinned likelihood ratio test statistic, was used. The effect of each modeland detector parameter, as well as the required detector exposure, was thenstudied. While uncertainties on the Earth density and atmospheric neutrino fluxprofiles were found to have a minor impact on the mass hierarchydiscrimination, the flux normalization, as well as some of the oscillationparameter (\Delta m^2_{31}, \theta_{13}, \theta_{23}, and \delta_{CP})uncertainties and correlations resulted critical. Finally, the minimum requireddetector exposure, the optimization of the low energy threshold, and thedetector resolutions were also investigated.

Mass hierarchy discrimination with atmospheric neutrinos in large volume ice/water Cherenkov detectors