  We compare numerical relativity (NR) data on the scattering of equal-mass,
non-spinning binary black holes to various analytical predictions based on
post-Minkowskian (PM) results. While the usual sequence of PM-expanded
scattering angles shows a rather poor convergence towards NR data, we find that
a reformulation of PM information in terms of Effective-One-Body radial
potentials leads to remarkable agreement with NR data, especially when using
the radiation-reacted 4PM information. Using Firsov's inversion formula we
directly extract, for the first time, from NR simulations a (radiation-reacted)
gravitational potential describing the scattering of equal-mass, non-spinning
binary black holes. We urge the NR community to compute more sequences of
scattering simulations, so as to extend this knowledge to a wider region of
parameter space.
