the Regge type, besides the Sudakov logarithms, another kind of DL contributions arises, coming from ladder Feynman graphs. Accounting for those (infrared stable) contributions it leads, instead of simple exponentials, to much more complicated expressions for the scattering amplitudes. This was first shown in Ref. [@ggfl], where in the framework of pure QED, the scattering amplitudes for the forward and backward $e^+e^- \to \mu^+\mu^-$ annihilation were calculated in the Regge kinematics. One example of high-energy electroweak processes in the Regge kinematics was considered in Ref. [@flmm], where the backward scattering amplitude was calculated, for the annihilation of a lepton pair with same helicities into another pair of leptons. More general calculations of the forward and backward electroweak scattering amplitudes were done in Ref [@egt].

However, both calculations in Refs. [@egt] and  [@flmm] were done under the assumption that the transverse momenta $k_{i \perp}$ of the virtual photons and virtual $W,Z$ -bosons were much greater than the masses of the weak bosons. In other words, the same infrared cut-off $M$ in the transverse momentum space, was used for all virtual electroweak bosons, i.e., $$\label{1cut}
k_{i\perp} \gg M \geq M_W \approx M_Z .$$

Obviously, while $M$ is the natural infrared cut-off for 