  The infrared structure of (multi-loop) scattering amplitudes is determined
entirely by the identities of the external particles participating in the
scattering. The two-loop infrared structure of pure \qcd\ amplitudes has been
known for some time. By computing the two-loop amplitudes for
$\bar{f}\,f\longrightarrow X$ and $\bar{f}\,f\longrightarrow V_1\,V_2$
scattering in an $SU(N)\times SU(M)\times U(1)$ gauge theory, I determine the
anomalous dimensions which govern the infrared structure for any massless
two-loop amplitude.
