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 $(L\lesssim 100\hspace{0.5em}\mathrm{km})$ 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 $\mathrm{CP}$ violation with either ${\nu }_e\to {\nu }_{\mu }$ or ${\nu }_{\mu }\to {\nu }_{\tau }$ oscillations (including the corresponding antineutrino channels). With measurements of $\mathrm{CP}$ 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.