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The MiniBooNE Neutral Current Elastic (NCEL) cross section results are usedto extract limits in the $\Delta m^{2}-\sin^{2}\vartheta_{\mu s}$ plane for a3+1 sterile neutrino model with a mass splitting $0.1 \leq \Delta m^{2} \leq10.0$ eV$^{2}$. GENIE is used with a cross section model close to the oneemployed by MiniBooNE to make event rate predictions using simulations on theMiniBooNE target material CH$_{2}$. The axial mass is a free parameter in allfits. Sterile modifications to the flux and changes to the cross section in thesimulation relate the two and allow limits to be set on sterile neutrino mixingusing cross section results. The large axial mass problem makes it necessaryfor experiments to perform their own axial mass fits, but a prior fit to thesame dataset could mask a sterile oscillation signal if the sterile and crosssection model parameters are not independent. We find that for the NCEL datasetthere are significant correlations between the sterile and cross section modelparameters, making a fit to both models simultaneously necessary to get robustresults. Failure to do this results in stronger than warranted limits on thesterile parameters. The general problems that the current uncertainty oncharged-current quasi-elastic (CCQE) and NCEL cross sections at MiniBooNEenergies pose for sterile neutrino measurements are discussed.

Using MiniBooNE neutral current elastic cross section results to constrain 3+1 sterile neutrino models