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This document was prepared by the DUNE collaboration using the resources of the Fermi National Accelerator Laboratory (Fermilab), a U.S. Department of Energy, Office of Science, HEP User Facility. Fermilab is managed by Fermi Research Alliance, LLC (FRA), acting under Contract No. DE-AC02-07CH11359. This work was supported by CNPq, FAPERJ, FAPEG and FAPESP, Brazil; CFI, IPP and NSERC, Canada; CERN; MŠMT, Czech Repub lic; ERDF, H2020-EU and MSCA, European Union; CNRS/IN2P3 and CEA, France; INFN, Italy; FCT, Portugal; NRF, South Korea; CAM, Fundación "La Caixa", Junta de Andalucía FEDER, and MICINN, Spain; SERI and SNSF, Switzerland; TÜBİTAK, Turkey; The Royal Society and UKRI/STFC, United Kingdom; DOE and NSF, United States of America. We are grateful to Xerxes Tata for useful discussions. C. Rott acknowledges support from the National Research Foundation of Korea. ; The observation of 236 MeV muon neutrinos from kaon-decay-at-rest (KDAR) originating in the core of the Sun would provide a unique signature of dark matter annihilation. Since excellent angle and energy reconstruction are necessary to detect this monoenergetic, directional neutrino flux, DUNE with its vast volume and reconstruction capabilities, is a promising candidate for a KDAR neutrino search. In this work, we evaluate the proposed KDAR neutrino search strategies by realistically modeling both neutrino-nucleus interactions and the response of DUNE. We find that, although reconstruction of the neutrino energy and direction is difficult with current techniques in the relevant energy range, the superb energy resolution, angular resolution, and particle identification offered by DUNE can still permit great signal/background discrimination. Moreover, there are non-standard scenarios in which searches at DUNE for KDAR in the Sun can probe dark matter interactions. ; Fermi National Accelerator Laboratory (Fermilab) No. DE-AC02-07CH11359. ; CNPq ; CNPq, FAPERJ, FAPEG y FAPESP, Brasil ; CFI, IPP y NSERC, Canadá ; CERN ; MŠMT, República Checa ; FEDER ; H2020-UE ; MSCA, Unión Europea ; CNRS/IN2P3 y CEA, Francia ; INFN, Italia ; FCT, Portugal ; NRF, Corea del Sur ; CAM, Fundación "La Caixa" ; Junta de Andalucía FEDER, y MICINN, España ; SERI y SNSF, Suiza ; TübİTAK, Turquía ; La Real Sociedad y UKRI/STFC, Reino Unido ; DOE y NSF, Estados Unidos de América

The Deep Underground Neutrino Experiment (DUNE) will produce world-leading neutrino oscillation measurements over the lifetime of the experiment. In this work, we explore DUNE's sensitivity to observe charge-parity violation (CPV) in the neutrino sector, and to resolve the mass ordering, for exposures of up to 100 kiloton-megawatt-calendar years (kt-MW-CY), where calendar years include an assumption of 57% accelerator uptime based on past accelerator performance at Fermilab. The analysis includes detailed uncertainties on the flux prediction, the neutrino interaction model, and detector effects. We demonstrate that DUNE will be able to unambiguously resolve the neutrino mass ordering at a 4σ (5σ) level with a 66 (100) kt-MW-CY far detector exposure, and has the ability to make strong statements at significantly shorter exposures depending on the true value of other oscillation parameters, with a median sensitivity of 3σ for almost all true δCP values after only 24 kt-MW-CY. We also show that DUNE has the potential to make a robust measurement of CPV at a 3σ level with a 100 kt-MW-CY exposure for the maximally CP-violating values δCP ¼ π=2. Additionally, the dependence of DUNE's sensitivity on the exposure taken in neutrino-enhanced and antineutrino-enhanced running is discussed. An equal fraction of exposure taken in each beam mode is found to be close to optimal when considered over the entire space of interest. ; Fermi Research Alliance, LLC (FRA) DE-AC02-07CH11359 ; CNPq, FAPERJ, FAPEG and FAPESP, Brazil ; CFI, Institute of Particle Physics (IPP) and NSERC, Canada ; CERN ; MŠMT, Czech Republic ; ERDF, H2020-EU and MSCA, European Union ; CNRS/IN2P3 and CEA, France ; INFN, Italy ; FCT, Portugal ; NRF, South Korea ; Comunidad de Madrid (CAM), Fundación "La Caixa," Junta de Andalucía-FEDER, and MICINN, Spain ; SERI and SNSF, Switzerland ; TÜBİTAK, Turkey ; The Royal Society and UKRI/STFC, United Kingdom ; DOE and NSF, United States of America