Vs. Fadin et al., GENERALIZED EIKONAL REPRESENTATION OF THE SMALL-ANGLE E- SCATTERING-AMPLITUDE AT HIGH-ENERGY(E), Physics of atomic nuclei, 56(11), 1993, pp. 1537-1540
The elastic small-angle e+e- scattering amplitude at high energy is co
nsidered. We show that up to the eighth order of the perturbation theo
ry there is a generalized eikonal representation for it. As a conseque
nce of this fact, we can omit all diagrams with two or more photons in
the crossed channel in calculations of radiative corrections to the c
ross section of Bhabha scattering with accuracy of order 0.1%.