Overview of the Path to 0.01$\%$ Theoretical Luminosity Precision for the FCCee and Its Possible Synergistic Effects for Other FCC Precision Theory Requirements

To exploit properly the precision physics program at the FCC-ee, the theoretical precision tag on the respective luminosity will need to be improved from the 0.054$\%$ (0.061$\%$) results at LEP to 0.01$\%$, where the former (latter) LEP result has (does not have) the pairs correction. We present an overview of the roads one may take to reach the required 0.01$\%$ precision tag at the FCC-ee and we discuss possible synergistic effects of the walk along these roads for other FCC precision theory requirements.
Comment: 6 pages, 3 tables, presented by B.F.L. Ward at ICHEP2020, Prague, CZ, July 29, 2020. arXiv admin note: substantial text overlap with arXiv:1902.05912