Collider Interplay for Supersymmetry, Higgs and Dark Matter.

Area of Science:

• High Energy Physics
• Supersymmetry Searches
• Particle Cosmology

Background:

• The Constrained Minimal Supersymmetric Standard Model (CMSSM) is a leading theoretical framework for physics beyond the Standard Model.
• Future particle colliders offer enhanced capabilities for discovering or constraining supersymmetric particles.
• Precision measurements of electroweak parameters and Higgs boson properties are crucial for testing fundamental theories.

Purpose of the Study:

• To evaluate the physics reach of future collider runs (LHC, FCC-ee, FCC-hh) for discovering or excluding supersymmetry within the CMSSM.
• To explore how precision measurements at these colliders can constrain CMSSM parameters and test its predictions at the loop level.
• To investigate strategies for supersymmetry searches in different CMSSM parameter regions, including those favored by recent analyses.

Main Methods:

• Analysis of physics reach for supersymmetry searches via [Formula: see text] events at the LHC.
• Simulation of sparticle mass measurements using the MT2 variable for LHC discoveries.
• Assessment of precision electroweak and Higgs measurements at FCC-ee (TLEP) and LHC.
• Exploration of discovery prospects for CMSSM benchmark points at FCC-hh.

Main Results:

• LHC searches are expected to cover low-mass CMSSM parameter regions favored by global analyses.
• Discovery of low-mass supersymmetry would enable precise sparticle mass measurements at the LHC, constraining CMSSM parameters.
• FCC-ee measurements of sleptons would yield high precision for CMSSM parameters [Formula: see text] and [Formula: see text].
• If supersymmetry is not discovered at the LHC, future colliders like FCC-hh are crucial for probing specific CMSSM parameter strips.

Conclusions:

• Future collider experiments, including the LHC, FCC-ee, and FCC-hh, are vital for comprehensive exploration of the CMSSM.
• A combination of discovery and precision measurements will provide robust tests of supersymmetry at the loop level.
• The proposed colliders offer complementary reach, ensuring that key regions of the CMSSM parameter space can be probed.