IREE for the $2\rightarrow 2$ - electroweak amplitudes in the Regge kinematics. According to Eqs. (\[mu\], \[M\]), we use two different cut-offs for the virtual photons and for the weak bosons. The amplitude $A_j$ is in the lhs of such an equation. The rhs contains several terms. In the first place, there is the Born amplitude $B_j$. In order to obtain the other terms in the rhs, we use the fact that the DL contributions of virtual particles with minimal transverse momenta $( \equiv k_{\perp})$ can be factorized. Furthermore, this $k_{\perp}$ acts as a new cut-off for the other virtual momenta. The virtual particle with $k_{\perp}$ (we call such a particle the softest one) can be either an electroweak bosons or a fermion. Let us suppose first that the softest particle is an electroweak boson.

In this case, in the Feynman gauge, DL contributions come from the graphs where the softest propagator is attached to the external lines in every possible way whereas $k_{\perp}$ acts as a new cut-off for the blobs as shown in Fig. 2.

![Softest boson contributions to IREE to $A_j$.](Ampfig2.epsi)

When the softest electroweak boson is a photon, the integration region over $k_{\perp}$ is $\mu^2 \ll 