  The naive double-copy of (multi) loop amplitudes involving massive matter
coupled to gauge theories will generically produce amplitudes in a
gravitational theory that contains additional contributions from propagating
antisymmetric tensor and dilaton states even at tree-level. We present a
graph-based approach that combines the method of maximal cuts with double-copy
construction to offer a systematic framework to isolate the pure
Einstein-Hilbert gravitational contributions through loop level. Indeed this
allows for a bootstrap of pure-gravitational results from the double-copy of
massive scalar-QCD. We apply this to construct the novel result of the
D-dimensional one-loop five-point QFT integrand relevant in the classical limit
to generating observables associated with the radiative effects of massive
black-hole scattering via pure Einstein-Hilbert gravity.
