Can the LHC rule out the MSSM ?

Abstract

If supersymmetry (SUSY) exists in nature and is a solution to the hierarchy problem then it should be detectable at the TeV energy scale which the large hadron collider (LHC) is now exploring. One of the main goals of the LHC is the discovery or exclusion of the R-parity conserving minimal supersymmetric standard model (MSSM). So far, the SUSY search results are presented in the context of the constrained MSSM and other specific simplified SUSY models. A model-independent analysis necessarily relies on the trigger-system of the LHC detectors. By using the posterior samples of a 20-parameter MSSM, the phenomenological MSSM, from a fit to indirect collider and cosmological data we find that there is a significant volume in the MSSM parameter space that would escape the standard trigger-systems of the detectors. As such, in the absence of discovery in the current and future LHC runs, it would be difficult if not impossible to exclude the MSSM unless some dedicated and special triggers are commissioned or a Higgs boson with mass as predicted by the supersymmetric models is not found.

minor changes, added references, published in Phys.Lett. B705 (2011) 331-336

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• The Higgs Sector and Fine-Tuning in the pMSSM
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• The New Look pMSSM with Neutralino and Gravitino LSPs
• Higgs to mu tau Decay in Supersymmetry without R Parity
• LHC-7 supersymmetry search interpretation within the pMSSM
• Where to look for natural supersymmetry
• MFV Reductions of MSSM Parameter Space
• Higgs boson discovery versus sparticles prediction: Impact on the pMSSM's posterior samples from a Bayesian global fit
• Stop-mass prediction in naturalness scenarios within MSSM-25
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• 30 parameter version of the MSSM in light of the $B_s\to {\mu }^{+}{\mu }^{-}$ observation