Reggeization of the fermion-fermion scattering amplitude in non-Abelian gauge theories

We have calculated the fermion-fermion scattering amplitude for a non-Abelian gauge theory with $\mathrm{SU}\mathrm{}\left(N\right)\mathrm{}$ gauge symmetry in the limit of high energy with fixed momentum transfer through sixth order in the coupling constant. We have kept only the leading logarithmic terms in each order of perturbation theory. In order to avoid the infrared problem, the Higgs mechanism is invoked to give masses to the vector bosons of the theory. We find that the scattering amplitude exponentiates to a Regge form. This result is qualitatively different from an earlier published calculation.