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We perform a comprehensive study of collider aspects of a Higgs portalscenario that is protected by an unbroken ${\mathbb{Z}}_2$ symmetry. If themass of the Higgs portal scalar is larger than half the Higgs mass, thisscenario becomes very difficult to detect. We provide a detailed investigationof the model's parameter space based on analyses of the direct collidersensitivity at the LHC as well as at future lepton and hadron collider conceptsand analyse the importance of these searches for this scenario in the contextof expected precision Higgs and electroweak measurements. In particular we alsoconsider the associated electroweak oblique corrections that we obtain in afirst dedicated two-loop calculation for comparisons with the potential of,e.g., GigaZ. The currently available collider projections corroborate an FCC-hh100 TeV as a very sensitive tool to search for such a weakly-coupled Higgssector extension, driven by small statistical uncertainties over a large rangeof energy coverage. Crucially, however, this requires good theoretical control.Alternatively, Higgs signal-strength measurements at an optimal FCC-eesensitivity level could yield comparable constraints.

Power meets Precision to explore the Symmetric Higgs Portal