LSND, SN1987A, and CPT Violation

Abstract

We point out that neutrino events observed at Kamiokande and IMB from SN1987A disfavor the neutrino oscillation parameters preferred by the LSND experiment. For $\Delta m^2>0$ (the light side), the electron neutrinos from the neutronization burst would be lost, while the first event at Kamiokande is quite likely to be due to an electron neutrino. For $\Delta m^2<0$ (the dark side), the average energy of the dominantly ${\bar{\nu }}_e$ events is already lower than the theoretical expectations, which would get aggravated by a complete conversion from ${\bar{\nu }}_{\mu }$ to ${\bar{\nu }}_e$. If taken seriously, the LSND data are disfavored independent of the existence of a sterile neutrino. A possible remedy is CPT violation, which allows different mass spectra for neutrinos and anti-neutrinos and hence can accommodate atmospheric, solar and LSND data without a sterile neutrino. If this is the case, Mini-BooNE must run in $\bar{\nu }$ rather than the planned $\nu$ mode to test the LSND signal. We speculate on a possible origin of CPT violation.

4 pages, REVTEX. Discussions on multi-flavor mixing added

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