Beyond the CMSSM without an Accelerator: Proton Decay and Direct Dark Matter Detection

Abstract

We consider two potential non-accelerator signatures of generalizations of the well-studied constrained minimal supersymmetric standard model (CMSSM). In one generalization, the universality constraints on soft supersymmetry-breaking parameters are applied at some input scale $M_{in}$ below the grand unification (GUT) scale $M_{GUT}$, a scenario referred to as `sub-GUT'. The other generalization we consider is to retain GUT-scale universality for the squark and slepton masses, but to relax universality for the soft supersymmetry-breaking contributions to the masses of the Higgs doublets. As with other CMSSM-like models, the measured Higgs mass requires supersymmetric particle masses near or beyond the TeV scale. Because of these rather heavy sparticle masses, the embedding of these CMSSM-like models in a minimal SU(5) model of grand unification can yield a proton lifetime consistent with current experimental limits, and may be accessible in existing and future proton decay experiments. Another possible signature of these CMSSM-like models is direct detection of supersymmetric dark matter. The direct dark matter scattering rate is typically below the reach of the LUX-ZEPLIN (LZ) experiment if $M_{in}$ is close to $M_{GUT}$, but may lie within its reach if $M_{in}\lesssim 10^{11}$ GeV. Likewise, generalizing the CMSSM to allow non-universal supersymmetry-breaking contributions to the Higgs offers extensive possibilities for models within reach of the LZ experiment that have long proton lifetimes.

42 pages, 15 figures

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• A Model of Metastable EeV Dark Matter
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• Quantifying Limits on CP Violating Phases from EDMs in Supersymmetry
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• Renormalization Effects on Electric Dipole Moments in Electroweakly Interacting Massive Particle Models
• Minimal Nambu-Goldstone Higgs Model in Supersymmetric SU(5) Revisited
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• New SUSY Fits for the ILC and CLIC
• Proton Lifetime in Minimal SUSY SU(5) in Light of LHC Results
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• A Generic Analysis of Nucleon Decay Branching Fractions in Flipped SU(5) Grand Unification