Physics with Beam Tau-Neutrino Appearance at DUNE
We explore the capabilities of the upcoming Deep Underground Neutrino Experiment (DUNE) to measure $ν_τ$ charged-current interactions and the associated oscillation probability $P(ν_μ\to ν_τ)$ at its far detector, concentrating on how such results can be used to probe neutrino properties and interactions. DUNE has the potential to identify significantly more $ν_τ$ events than all existing experiments and can use this data sample to nontrivially test the three-massive-neutrinos paradigm by providing complementary measurements to those from the $ν_e$ appearance and $ν_μ$ disappearance channels. We further discuss the sensitivity of the $ν_τ$ appearance channel to several hypotheses for the physics that may lurk beyond the three-massive-neutrinos paradigm: a non-unitary lepton mixing matrix, the $3+1$ light neutrinos hypothesis, and the existence of non-standard neutral-current neutrino interactions. Throughout, we also consider the relative benefits of the proposed high-energy tune of the Long-Baseline Neutrino Facility (LBNF) beam-line.