  We present controlled numerical results for the ground state spectral
function of the resonant Fermi polaron in three dimensions. We establish the
existence of a "dark continuum"---a region of anomalously low spectral weight
between the narrow polaron peak and the rest of the spectral continuum. The
dark continuum develops when the s-wave scattering length is of the order of
the inverse Fermi wavevector, $a\lesssim 1/k_{\rm F}$, i.e. in the absence of a
small interaction-related parameter when the spectral weight is not expected to
feature a near-perfect gap structure after the polaron peak.
