The two-loop Higgs impact factor

In the HEFT, we consider the Regge limit of the two-loop amplitudes for Higgs boson production in association with a jet, expanded to NNLL accuracy. We discuss the issue of the Regge cuts versus poles in this context, showing that the former cannot contribute through three loops, due to the simplicity of the colour structure of the amplitudes. Finally, we determine for the first time the Higgs impact factor at two-loop accuracy.