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$Δm^{2}$ Limits from $R(E_ν)$

J. M. LoSecco
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Abstract

A lower bound on $Δm^{2}$ for atmospheric neutrino oscillations can be obtained from the global value of $R$ at a given energy. This bound may be more reliable than one based on the observed isotropy. Some global values of $R$ imply an anisotropy in the neutrino flux that may, or may not be manifest in the observed neutrino interactions. A limit of $Δm^{2}>0.0077$ eV$^{2}$ is easily obtained. Much higher mass scales are implied by the reported energy independence and magnitude of $R$

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J. M. LoSecco. 1998-11-27. $Δm^{2}$ Limits from $R(E_ν)$. https://arxiv.org/abs/hep-ph/9807432

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