Supernova Neutrinos and the LSND Evidence for Neutrino Oscillations

Abstract

The observation of the ${\bar{\nu }}_e$ energy spectrum from a supernova burst can provide constraints on neutrino oscillations. We derive formulas for adiabatic oscillations of supernova antineutrinos for a variety of 3- and 4-neutrino mixing schemes and mass hierarchies which are consistent with the LSND evidence for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ oscillations. Finally, we explore the constraints on these models and LSND given by the supernova SN1987A ${\bar{\nu }}_e$'s observed by the Kamiokande-2 and IMB-3 detectors.

8 pages, 3 figures. Changes with respect to original version: appendix added; minor changes in text, figures, references

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• Sum rules of four-neutrino mixing in matter
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• Renormalization of the Cabibbo-Kobayashi-Maskawa Matrix at One-Loop Level
• Renormalization of the Cabibbo-Kobayashi-Maskawa Matrix at One-Loop Level
• Supernovae and Neutrinos
• Chargino contributions to ${\epsilon }^{\prime }/\epsilon$ in the left-right supersymmetric model
• Supernova Neutrinos, LSND and MiniBooNE