Atmospheric neutrinos and nu-mass hierarchy
Abstract
We discuss the possibility for matter effects in the three-neutrino oscillations of the atmospheric nue (barnue) and numu (barnumu), driven by one neutrino mass squared difference, |Delta m231| >> Delta m221, to be observable under appropriate conditions. We derive predictions for the Nadir angle (thetan) dependence of the ratio Nmu/Ne of the rates of the mu-like and e-like multi-GeV events which is particularly sensitive to the Earth matter effects in the atmospheric neutrino oscillations, and thus to the values of sin2theta13 and sin2theta23, and also to the type of neutrino mass spectrum.
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