Abstract
If one assumes solar and LSND neutrino oscillations to explain the corresponding data, then the atmospheric neutrino deficit cannot be accommodated within the Standard Model with three light flavors, unless one ignores the data's zenith-angle dependence. We propose a novel solution to this problem by postulating large anomalous diagonal $\nu_\tau$-quark interactions which affect $\nu_\mu - \nu_\tau$ oscillations traversing the Earth and induce the observed zenith-angle dependence.

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