  We consider deterministic self-propelled particles with anti-alignment
interactions. An asymptotically exact kinetic theory for particle scattering at
low densities is constructed by a non-local closure of the BBGKY-hierarchy,
involving pair correlations. We show that the mean-field assumption of
molecular chaos yields unphysical predictions, whereas the scattering theory
shows excellent agreement with agent-based simulations. To extend the theory to
high densities, a self-consistent mapping to a random-telegraph process is
performed. The approach is used to derive a one-particle Langevin-equation and
leads to analytical expressions for the correlations of its effective noise.
