  We show, for previously uncalculated examples containing a uniform mass in
the loop, that it is possible to obtain complete massive one-loop gauge theory
amplitudes solely from unitarity and known ultraviolet or infrared mass
singularities. In particular, we calculate four-gluon scattering via massive
quark loops in QCD. The contribution of a heavy quark to five-gluon scattering
with identical helicities is also presented.
