A general method is explained for computing high-energy processes in gauge theories when "Sudakov double logarithms" are present. An expansion for the electron form factor in quantum electrodynamics is constructed; it gives the leading-logarithmic result of Sudakov, together with corrections to it to arbitrary logarithmic accuracy. The method can be applied to other processes, such as low-transverse-momentum parton phenomena, and form factors and elastic scattering of composite particles.

• Received 15 May 1980

DOI:https://doi.org/10.1103/PhysRevD.22.1478