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First scenario: "Solar+LSND" or "Solar+Atmospheric"

In this scenario the ``small'' is constrained by the solar neutrino data, assuming matter-enhanced oscillations [56]. Then the "large" can be used to explain either the LSND results [57] or the atmospheric neutrino deficit [58], but not both (unless the Kamiokande atmospheric data in the multi-GeV range are dropped [59]).

If one takes the first option (Solar+LSND) and a mass spectrum with two light neutrinos , plus a heavy neutrino in the eV range, then the combined fit [56, 57] prefers a strong mixing of with , with being essentially a mixture of . High-sensitivity neutrino oscillation searches in the channel are able to probe a fraction of the LSND signal [57].

The second option (Solar+Atmospheric) leads one to a larger variety of mass-mixing solutions [56, 58] which are in the range of interest for long-baseline experiments.