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We give predictions for the up-down asymmetry in the Nadir angle dependenceof the ratio Nmu/Ne of the rates of the mu-like and e-like multi-GeV eventsmeasured in water-Cerenkov detectors (Super-Kamiokande, etc.) in the case of3-neutrino oscillations of the atmospheric nu_e (antinu_e) and nu_mu(antinu_mu), driven by one neutrino mass squared difference, |Delta m^2_{atm}|= |Delta m^2_{31}| ~ (2.0 - 3.0) 10^{-3} eV^2 >> Delta m^2_{21} = Deltam^2_{sol}. This ratio is particularly sensitive to the Earth matter effects inthe atmospheric neutrino oscillations, and thus to the values of sin^2(theta13)and sin^2(theta23), theta13 and theta23 being the neutrino mixing angle limitedby the CHOOZ and Palo Verde experiments and that responsible for the dominantatmospheric nu_mu -> nu_tau (antinu_mu -> antinu_tau) oscillations,respectively. It is also sensitive to the type of neutrino mass spectrum whichcan be with normal (Delta m^2_{atm} > 0) or with inverted (Delta m^2_{atm} < 0)hierarchy.Comment: 8 pages, 1 figure. Talk given at NOON2004, February 11 - 15, 2004,  Tokyo, Japa

ON THE ATMOSPHERIC NEUTRINO OSCILLATIONS, θ13 AND NEUTRINO MASS HIERARCHY

ON THE ATMOSPHERIC NEUTRINO OSCILLATIONS, θ₁₃ AND NEUTRINO MASS HIERARCHY