The gluon Regge trajectory at three loops from planar Yang-Mills theory

We compute the three-loop leading-colour corrections to Yang-Mills Regge trajectory and gluon impact factor. Conjecturing that, in analogy with $\mathcal{N}=4$ super (SYM), a suitable scheme $N_c$-subleading terms are absent from trajectory, we understand our result as first computation of pure gauge, or $n_f = 0$, part QCD trajectory. The results presented both for bare renormalised amplitudes consistent predictions infrared factorisation along reproducing known planar SYM through maximal weight truncation. also include dependence on scale facilitate future applications BFKL theory at next-to-next-to leading logarithmic accuracy.