Atmospheric neutrino oscillations with three neutrinos and a mass hierarchy

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Abstract
A comprehensive formalism for the description of neutrino oscillations in the Earth in a general scheme with three massive neutrinos and the mass hierarchy m_1<nu_e, nu_mu<->nu_tau, nu_e<->nu_tau) could be large. Hence, long-baseline experiments with reactor (CHOOZ and Palo Verde) and accelerator (K2K, MINOS and ICARUS) neutrinos could observe neutrino oscillations in all channels with a relatively large statistics.

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