  We estimate the sensitivity of the DUNE experiment to new physics particles
interacting with neutrinos, considering the dipole portal to heavy neutral
leptons and a neutrinophilic scalar with lepton-number $2$ as examples. We
demonstrate that neutrinos from the high-energy tail of the DUNE flux, with
energies $E_{\nu}\gtrsim 5-10\text{ GeV}$, may significantly improve the
sensitivity to these models, allowing to search for particles as heavy as
$\simeq 10\text{ GeV}$. We also study the impact of the so-called tau-optimized
neutrino beam configuration, which slightly improves sensitivity to the new
physics models considered here. For both models, we consider new production
channels (such as deep-inelastic scattering) and provide a detailed comparison
of different signatures in the detector.
