A Combined ${\nu }_{\mu }\to {\nu }_e$ and ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillation Analysis of the MiniBooNE Excesses

The MiniBooNE experiment at Fermilab reports results from an analysis of the combined ${\nu }_e$ and ${\bar{\nu }}_e$ appearance data from $6.46\times {10}^{20}$ protons on target in neutrino mode and $11.27\times {10}^{20}$ protons on target in antineutrino mode. A total excess of $240.3\pm 34.5\pm 52.6$ events ($3.8 \sigma$)isobservedfromcombiningthetwodatasetsintheenergyrange$200<E_\nu^{QE}<1250$MeV\mathrm{.}InacombinedfitforCP-conserving$\nu_\mu \rightarrow \nu_e$and$\bar{\nu}_{\mu}\rightarrow\bar{\nu}_e$ oscillations via a two-neutrino model, the background-only fit has a ${\chi }^2$-probability of 0.03% relative to the best oscillation fit. The data are consistent with neutrino oscillations in the $0.01<\mathrm{\Delta }{m}^2<1.0$ eV${}^2$ range and with the evidence for antineutrino oscillations from the Liquid Scintillator Neutrino Detector (LSND).