The LSND and MiniBooNE Oscillation Searches at High $\Delta m^2$
  This paper reviews the results of the LSND and MiniBooNE experiments. The
primary goal of each experiment was to effect sensitive searches for neutrino
oscillations in the mass region with $\Delta m^2 \sim 1$ eV$^2$. The two
experiments are complementary, and so the comparison of results can bring
additional information with respect to models with sterile neutrinos. Both
experiments obtained evidence for $\bar \nu_\mu \rightarrow \bar \nu_e$
oscillations, and MiniBooNE also observed a $\nu_\mu \rightarrow \nu_e$ excess.
In this paper, we review the design, analysis, and results from these
experiments. We then consider the results within the global context of sterile
neutrino oscillation models. The final data sets require a more extended model
than the simple single sterile neutrino model imagined at the time that LSND
drew to a close and MiniBooNE began. We show that there are apparent
incompatibilities between data sets in models with two sterile neutrinos.
However, these incompatibilities may be explained with variations within the
systematic error. Overall, models with two (or three) sterile neutrinos seem to
succeed in fitting the global data, and they make interesting predictions for
future experiments.
