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A future Higgs Factory will provide improved precision on measurements ofHiggs couplings beyond those obtained by the LHC, and will enable a broad rangeof investigations across the fields of fundamental physics, including themechanism of electroweak symmetry breaking, the origin of the masses and mixingof fundamental particles, the predominance of matter over antimatter, and thenature of dark matter. Future colliders will measure Higgs couplings to a fewper cent, giving a window to beyond the Standard Model (BSM) physics in the1-10 TeV range. In addition, they will make precise measurements of the Higgswidth, and characterize the Higgs self-coupling. This report details the workof the EF01 and EF02 working groups for the Snowmass 2021 study.

Report of the Topical Group on Higgs Physics for Snowmass 2021: The Case for Precision Higgs Physics