$Δm^{2}$ Limits from $R(E_ν)$

Details $Δm^{2}$ Limits from $R(E_ν)$ $Δm^{2}$ Limits from $R(E_ν)$

1998-07-20

arxiv.org/abs/hep-ph/9807432v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 2 figures. The revisions include a full fit to R(E) and a discussion of geomagnetic effects

Scientific paper

A lower bound on $\Delta m^{2}$ 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 $\Delta m^{2}>0.0077$ eV$^{2}$ is easily obtained. Much higher mass scales are implied by the reported energy independence and magnitude of $R$

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