Electron-electron scattering at high energies and fixed angle

Abstract

In this paper, we sum all (leading and nonleading) logarithms in electron-electron scattering at high energy and fixed angle. By Pauli statistics, the e-e scattering amplitude is equal to the difference of two terms related to each other by interchanging the two incoming particles. Each of these terms is in the form of a product of an exponential function, the wave-function renormalization constants, and a scaling function. While the exponent of this exponential function is complicated, it is related to that of the vertex function. Thus, each of these terms is in the form of a product of the two-electron vertex functions, a scaling function, and an exponential function which is explicitly given. The method we use is obtained by modifying slightly the one of Yennie and collaborators, which proves to be a powerful tool to deal with scattering problems of large momentum transfers. © 1983 The American Physical Society.