  We consider inelastic QED processes, the cross sections of which do not drop
with increasing energy. Such reactions have the form of two-jet processes with
the exchange of a virtual photon in the t-channel. We consider them in the
region of small scattering angles m/E <= theta << 1, which yield the dominant
contribution to their cross sections. A new effective method is presented to
calculate the corresponding helicity amplitudes. Its basic idea consists in
replacing spinor structures for real and weakly virtual intermediate leptons by
simple transition vertices for real leptons. The obtained compact amplitudes
are particularly suitable for numerical calculations in jet-like kinematics.
