Problems with Atmospheric Neutrino Oscillations

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The neutrino oscillation hypothesis does a poor job of representing the atmospheric neutrino anomaly. The anomaly is observed over 4 decades in path length and at least a factor of 30 in energy. This restricts the potential oscillation solutions to those with large amplitudes and mixing mass differences that are ruled out by other observations. The Δm² region in the range 10⁻⁴ - 10⁻² leads to inconsistencies within the atmospheric neutrino data itself. The observed value of R seems to be incompatible with the Δm² implied by recent results