QED collinear radiation factors in the next-to-leading logarithmic approximation

TL;DR

This paper calculates second-order collinear photon radiation factors in QED using a renormalization group approach, enabling precise next-to-leading logarithmic radiative correction evaluations for various processes.

Contribution

It introduces a systematic method to compute second-order collinear radiation factors in QED at next-to-leading order using the renormalization group approach.

Findings

Derived explicit radiation factors for double and single photon emissions.

Provided a framework for analytical and numerical treatment of second-order corrections.

Enhanced precision in QED radiative correction calculations.

Abstract

The effect of the collinear photon radiation by charged particles is considered in the second order of the perturbation theory. Double and single photon radiation is evaluated. The corresponding radiation factors are obtained. The QED renormalization group approach is exploited in the next-to-leading order. The results are suited to perform a systematic treatment of the second order next-to-leading logarithmic radiative corrections to various processes either analytically or numerically.