High-Energy Limit of Quantum Electrodynamics beyond Sudakov   Approximation
  We study the high-energy behavior of the scattering amplitudes in quantum electrodynamics beyond the leading order of the small electron mass expansion in the leading logarithmic approximation. In contrast to the Sudakov logarithms, the mass-suppressed double-logarithmic radiative corrections are induced by a soft electron pair exchange and result in enhancement of the power-suppressed contribution. Possible applications of our result to the analysis of the high-energy processes in quantum chromodynamics is also discussed. 
Alexander A. Penin
hep-ph hep-th