Next-to-leading order correction to the factorization limit of the radiation spectrum

TL;DR

This paper calculates a next-to-leading order correction to the radiation spectrum in high-energy electron scattering, revealing effects beyond simple scattering characteristics and illustrating with examples like bremsstrahlung and undulator radiation.

Contribution

It introduces a novel correction term to the factorization limit of radiation spectra, accounting for the smooth transition between electron states.

Findings

Correction affects the radiation spectrum beyond leading order

Application examples include bremsstrahlung and undulator radiation

Provides a more accurate description of high-energy electron radiation

Abstract

A next-to-leading order correction to the high-energy factorization limit of radiation spectrum from an ultrarelativistic electron scattering in an external field is evaluated. Generally, it does not express through scattering characteristics, and accounts for smoothness of the crossover between the initial and final electron asymptotes. A few examples of application of this formula are given, including bremsstrahlung in amorphous matter and undulator radiation.