  We study the properties of the poles of the resummed graviton propagator
obtained by resumming bubble matter diagrams which correct the classical
graviton propagator. These poles have been previously interpreted as black
holes precursors. Here, we show using the Horizon Wave-Function formalism that
these poles indeed have properties which make them compatible with being black
hole precursors. In particular, when modeled with a Breit-Wigner distribution,
they have a well defined gravitational radius. The probability that the
resonance is inside its own gravitational radius, and thus that it is black
hole, is about one half. Our results confirm the interpretation of these poles
as black hole precursors.
