Higher-order NLO initial state QED radiative corrections to $e^+e^-$ annihilation revisited

TL;DR

This paper recalculates higher-order initial state QED radiative corrections in electron-positron annihilation using the structure function approach, correcting past errors and providing results crucial for future precision collider experiments.

Contribution

It presents a revised calculation of NLO initial state QED corrections up to $O(\alpha^4 L^3)$, correcting previous inaccuracies and enhancing precision for collider data analysis.

Findings

Corrected several mistakes in previous calculations.

Provided results in the next-to-leading logarithmic approximation.

Relevant for high-precision measurements at future colliders.

Abstract

Radiative corrections due to initial state radiation in electron-positron annihilation are calculated within the QED structure function approach. Results are shown in the next-to-leading logarithmic approximation up to $O(\alpha^4 L^3)$ order, where $L=\ln(s/m_e^2)$ is the large logarithm. Several mistakes in previous calculations are corrected. The results are relevant for future high-precision experiments at $e^+e^-$ colliders.