the logarithmic contributions involving $W,Z$ bosons, the cut-off for the photons can be chosen independently. in accord with the experimental resolution in a given observed process. Indeed the assumption (\[1cut\]), although simplifying the calculations a lot, is unnecessary and an approach that involves different cut-offs for photons and $W,Z$ weak bosons would be more interesting and suitable for phenomenological applications. This technique involving different cut-offs for photons and for $W,Z$ bosons was applied in Ref. [@flmm], for calculating the double-logarithmic contributions of soft virtual electroweak bosons (the Sudakov electroweak logarithms) but not for the scattering amplitudes in the regions of Regge kinematics.

In the present paper we generalize the results of Refs. [@flmm] and  [@egt], and obtain new double-logarithmic expressions for the $2 \to 2$ - electroweak amplitudes in the forward and backward kinematics. These expressions involve therefore different infrared cut-offs for virtual photons and virtual weak bosons. Throughout the paper we assume that the photon cut-off, $\mu$, and the $W,Z$ boson cut-off, $M$, satisfy the relations $$\label{cuts}
M \geq M_{W,Z},~~~\mu \geq m_f$$ where $m_f$ is the largest mass of the quarks or leptons involved in the process. Notice that the values of $M$ and $\mu$ could be widely different. 