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 $Δm^2 > 0$ (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 $Δm^2 < 0$ (the dark side), the average energy of the dominantly $\barν_e$ events is already lower than the theoretical expectations, which would get aggravated by a complete conversion from $\barν_μ$ to $\barν_e$. 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 $\barν$ rather than the planned $ν$ mode to test the LSND signal. We speculate on a possible origin of CPT violation.