Dual-Baseline Search for Active-to-Sterile Neutrino Oscillations in NOvA

We report a search for neutrino oscillations to sterile neutrinos under a model with three active and one sterile neutrinos ($ 3+1$ model). This analysis uses the NOvA detectors exposed to the NuMI beam, running in neutrino mode. The data exposure, $ 13.6\times {10}^{20}$ protons on target, doubles that previously analyzed by NOvA, and the analysis is the first to use $ {\nu }_{\mu }$ charged-current interactions in conjunction with neutral-current interactions. Neutrino samples in the near and far detectors are fitted simultaneously, enabling the search to be carried out over a $ \mathrm{\Delta }{m}_{41}^{2}$ range extending 2 (3) orders of magnitude above (below) $ 1\text{}\text{}{\mathrm{eV}}^{2}$. NOvA finds no evidence for active-to-sterile neutrino oscillations under the $ 3+1$ model at 90% confidence level. New limits are reported in multiple regions of parameter space, excluding some regions currently allowed by IceCube at 90% confidence level. We additionally set the most stringent limits for anomalous $ {\nu }_{\tau }$ appearance for $ \mathrm{\Delta }{m}_{41}^{2}\le 3\text{}\text{}{\mathrm{eV}}^{2}$.