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The study of the Higgs boson properties offers compelling perspectives fortesting the effects of physics beyond the Standard Model and has deepimplications for the LHC program and future colliders. Accurate determinationsof the Higgs boson properties can provide us with a distinctively precisepicture of the Higgs sector, set tight bounds, and predict ranges for thevalues of new physics model parameters. In this paper, we discuss theconstraints on supersymmetry that can be derived by a determination of theHiggs boson mass and couplings. We quantify these constraints by using scans ofthe 19-parameter space of the so-called phenomenological minimal supersymmetricStandard Model. The fraction of scan points that can be excluded by the Higgsmeasurements is studied for the coupling measurement accuracies obtained in LHCRun 2 and expected for the HL-LHC program and $e^+e^-$ colliders and contrastedwith those derived from missing transverse energy searches at the LHC and fromdark matter experiments.

Higgs Properties and Supersymmetry: Constraints and Sensitivity from the LHC to an $e^+e^-$ Collider