Abstract
The discovery of the Higgs boson at $\sim 125$ GeV indicates that the scale of weak scale supersymmetry is higher than what was perceived in the pre-Higgs boson discovery era and lies in the several TeV region. This makes the discovery of supersymmetry more challenging and argues for hadron colliders beyond LHC at $\sqrt s=14$ TeV. The Future Circular Collider (FCC) study at CERN is considering a 100 TeV collider to be installed in a 100 km tunnel in the Lake Geneva basin. Another 100 km collider being considered in China is the Super proton-proton Collider (SppC). A third possibility recently proposed is the High-Energy LHC (HE-LHC) which would use the existing CERN tunnel but achieve a center-of-mass energy of 28 TeV by using FCC magnet technology at significantly higher luminosity than at the High Luminosity LHC (HL-LHC). In this work we investigate the potential of HE-LHC for the discovery of supersymmetry. We study a class of supergravity unified models under the Higgs boson mass and the dark matter relic density constraints and compare the analysis with the potential reach of the HL-LHC. A set of benchmarks are presented which are beyond the discovery potential of HL-LHC but are discoverable at HE-LHC. For comparison, we study model points at HE-LHC which are also discoverable at HL-LHC. For these model points, it is found that their discovery would require a HL-LHC run between 5-8 years while the same parameter points can be discovered in a period of few weeks to $\sim 1.5$ yr at HE-LHC running at its optimal luminosity of $2.5\times 10^{35}$ cm$^{-2}$ s$^{-1}$. The analysis indicates that the HE-LHC possibility should be seriously pursued as it would significantly increase the discovery reach for supersymmetry beyond that of HL-LHC and decrease the run period for discovery.
Highlights
The discovery of the Higgs boson [1,2,3] mass at ∼125 GeV [4,5] has put stringent constraints on the scale of weak scale supersymmetry
Within supersymmetry and supergravity unified theories a Higgs boson mass of ∼125 GeV requires a very significant loop correction which points to the scale of weak scale supersymmetry lying in the several TeV region [6,7,8,9]
The large scale of weak scale supersymmetry implies that the average mass of the sparticles, of sfermions, is significantly higher than what was thought in the pre-Higgs boson discovery era
Summary
The discovery of the Higgs boson [1,2,3] mass at ∼125 GeV [4,5] has put stringent constraints on the scale of weak scale supersymmetry. Within supersymmetry and supergravity unified theories a Higgs boson mass of ∼125 GeV requires a very significant loop correction which points to the scale of weak scale supersymmetry lying in the several TeV region [6,7,8,9]. The large scale of weak scale supersymmetry implies that the average mass of the sparticles, of sfermions, is significantly higher than what was thought in the pre-Higgs boson discovery era This leads to a suppression in the production of sparticles at colliders. If the squark and slepton masses are large, one has a more natural suppression of the EDM consistent with experiment [18,19] Another potential problem for a low scale of weak scale supersymmetry concerns proton decay from baryon and lepton number violating dimension five operators. The analysis of this work is illustrated by several tables and figures which are called at appropriate points in the various sections
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