Short-Baseline Neutrino Oscillations at a Neutrino Factory

Within the framework of three-neutrino and four-neutrino scenarios that can describe the results of the LSND experiment, we consider the capabilities of short baseline neutrino oscillation experiments at a neutrino factory. We find that, when short baseline ($L \alt 100$ km) neutrino factory measurements are used together with other accelerator-based oscillation results, the complete three-neutrino parameter space can best be determined by measuring the rate of $\nu_e \to \nu_\tau$ oscillations, and measuring CP violation with either $\nu_e \to \nu_\mu$ or $\nu_\mu \to \nu_\tau$ oscillations (including the corresponding antineutrino channels). With measurements of CP violation in both $\nu_e \to \nu_\mu$ and $\nu_\mu \to \nu_\tau$ it may be possible to distinguish between the three- and four-neutrino cases.