Abstract

We present the most comprehensive global fits to date of three supersymmetric models motivated by grand unification: the constrained minimal supersymmetric standard model (CMSSM), and its Non-Universal Higgs Mass generalisations NUHM1 and NUHM2. We include likelihoods from a number of direct and indirect dark matter searches, a large collection of electroweak precision and flavour observables, direct searches for supersymmetry at LEP and Runs I and II of the LHC, and constraints from Higgs observables. Our analysis improves on existing results not only in terms of the number of included observables, but also in the level of detail with which we treat them, our sampling techniques for scanning the parameter space, and our treatment of nuisance parameters. We show that stau co-annihilation is now ruled out in the CMSSM at more than 95% confidence. Stop co-annihilation turns out to be one of the most promising mechanisms for achieving an appropriate relic density of dark matter in all three models, whilst avoiding all other constraints. We find high-likelihood regions of parameter space featuring light stops and charginos, making them potentially detectable in the near future at the LHC. We also show that tonne-scale direct detection will play a largely complementary role, probing large parts of the remaining viable parameter space, including essentially all models with multi-TeV neutralinos.

Highlights

  • For the NUHM1, ln LBF = 36.702, slightly better than what we found in the Constrained Minimal Supersymmetric Standard Model (CMSSM)

  • In this paper we have presented state-of-the-art profile likelihood global fits to three constrained versions of the minimal supersymmetric standard model, using GAMBIT

  • We have fully explored the parameter space in which the models are not excluded by any experimental measurements, including areas where the neutralino only constitutes a fraction of the dark matter in the Universe

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Summary

Introduction

Using GAMBIT allows us to pursue a thorough theoretical and statistical approach, where theoretical assumptions are consistently treated across different observables and experimental searches This includes the accurate treatment, via nuisance parameters, of uncertainties associated with the local DM distribution, nuclear matrix elements relevant for direct detection, and SM parameters. 5. GAMBIT includes an interface to Diver [160], a new scanner based on differential evolution, which provides significantly improved sampling performance compared to conventional techniques. GAMBIT includes an interface to Diver [160], a new scanner based on differential evolution, which provides significantly improved sampling performance compared to conventional techniques This allows us to more accurately locate and more comprehensively map small regions of high likelihood

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