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Proposals for future circular lepton colliders, such as FCC-ee and CEPC, aim for the production of trillions of Z bosons, billions of W pairs, and millions of Higgs bosons. To a slightly lesser extent, this is also true for linear colliders concepts such as ILC or C
3. The statistical power of these measurements would probe physics beyond the Standard Model at multi-TeV scales, in many cases well beyond the reach of the LHC. However, this is only possible with similarly precise theoretical predictions to compare the experimental data to. This presentation will give an overview of the currently available theoretical results and tools for understanding electroweak precision observables and delineate the required improvements and innovations for the FCC-ee physics program.