Overview of theoretical precision of the luminosity at future electron-positron colliders

TL;DR

This paper reviews the theoretical precision needed for luminosity measurements at future electron-positron colliders like FCC-ee and ILC, emphasizing the improvements over past LEP results to enable high-precision physics programs.

Contribution

It provides an overview of potential methods and expected precision improvements to achieve 0.01% luminosity accuracy at future colliders.

Findings

Required precision at FCC-ee is 0.01% for luminosity.

Current LEP results had about 0.054% precision.

Expected precision for future colliders varies from 0.01% to 0.03%.

Abstract

For both the FCC-ee and the ILC, to exploit properly the respective precision physics program, the theoretical precision tag on the respective luminosity will need to be improved from the analogs of the $ 0.054 \% (0.061\%)$ results at LEP at $M_Z$, where the former (latter) LEP result has (does not have) the pairs correction. At the FCC-ee at $M_Z$ one needs improvement to $0.01\%$, for example. We present an overview of the roads one may take to reach the required $0.01\%$ precision tag at the FCC-ee and of what the corresponding precision expectations would be for the FCC-ee$_{350}$, ILC$_{500}$, ILC$_{1000}$, and CLIC$_{3000}$ setups.