  The high-energy limit of gauge-theory amplitudes features both a Regge pole
and Regge cuts. We show how to disentangle these, and hence how to determine
the Regge trajectory beyond two loops. While the nonplanar part of multiple
Reggeon $t$-channel exchange forms a Regge cut, the planar part contributes to
the pole along with the single Reggeon. With this, we find that the infrared
singularities of the trajectory are given by the cusp anomalous dimension. By
matching to recent QCD results, we determine the quark and gluon impact factors
to two loops and the Regge trajectory to three loops.
