  We compute scattering amplitudes involving one massive scalar and two, three,
or four gravitons. We show that when the conformal dimension of the massive
scalar is set to zero, the resulting celestial correlators depend {\it only} on
the coordinates of the gravitons. Such correlators of gravitons are
well-defined and do not suffer from divergences associated with the Mellin
transform of usual graviton amplitudes. Moreover, they are non-distributional
and take the form of standard CFT correlators. We show that they are consistent
with the usual OPEs but the statement of the soft theorem is modified.
