Optimal configurations of the Deep Underground Neutrino Experiment

We perform a comprehensive study of the ability of the Deep Underground Neutrino Experiment(DUNE) to answer outstanding questions in the neutrino sector. We consider the sensitivities to the mass hierarchy, the octant of θ23 and to CP violationusing data from beam and atmospheric neutrinos. We evaluate the dependencies on the precision with which θ13 will be measured by reactor experiments, on the detectorsize, beam power and exposure time, on detectormagnetization, and on the systematic uncertainties achievable with and without a near detector. We find that a 35 kt far detectorin DUNE with a near detectorwill resolve the eightfold degeneracy that is intrinsic to long baseline experiments and will meet the primary goals of oscillation physics that it is designed for.