Higgs Properties and Supersymmetry: Constraints and Sensitivity from the LHC to an $e^+e^-$ Collider
A. Arbey, M. Battaglia, A. Djouadi, F. Mahmoudi, M. Muhlleitner, M., Spira

TL;DR
This paper explores how precise measurements of the Higgs boson at current and future colliders can constrain supersymmetric models, especially the phenomenological MSSM, by analyzing Higgs mass and coupling data.
Contribution
It provides a detailed analysis of supersymmetry constraints from Higgs measurements using parameter scans of the pMSSM and compares collider and dark matter search sensitivities.
Findings
Higgs measurements can exclude significant portions of the pMSSM parameter space.
Future colliders like HL-LHC and $e^+e^-$ can improve constraints on supersymmetry.
Higgs data complements traditional missing energy and dark matter searches.
Abstract
The study of the Higgs boson properties offers compelling perspectives for testing the effects of physics beyond the Standard Model and has deep implications for the LHC program and future colliders. Accurate determinations of the Higgs boson properties can provide us with a distinctively precise picture of the Higgs sector, set tight bounds, and predict ranges for the values of new physics model parameters. In this paper, we discuss the constraints on supersymmetry that can be derived by a determination of the Higgs boson mass and couplings. We quantify these constraints by using scans of the 19-parameter space of the so-called phenomenological minimal supersymmetric Standard Model. The fraction of scan points that can be excluded by the Higgs measurements is studied for the coupling measurement accuracies obtained in LHC Run 2 and expected for the HL-LHC program and colliders…
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