Radiative Corrections. I. High-Energy Bremsstrahlung and Pair Production

The radiative corrections to the high-energy bremsstrahlung and pair-production spectra are calculated in the Weizs\"acker-Williams approximation. Results for the soft-photon radiative correction to the spectra are given, and for the case of pair production the soft-plus-hard-photon radiative correction is also obtained. The radiative correction to the total pair-production cross section is found to be practically independent of the photon energy and of the atomic number of the target material. Comparison with available experimental data shows essential agreement within the relatively wide experimental limits.