Abstract

By insisting on naturalness in both the electroweak and quantum chromodynamics (QCD) sectors of the minimal supersymmetric standard model (MSSM), the portrait for dark matter production is seriously modified from the usual weakly interacting massive particle (WIMP) miracle picture. In supersymmetry (SUSY) models with radiatively-driven naturalness (radiative natural SUSY or radiative natural SUSY (RNS)) which include a Dine–Fischler–Srednicki–Zhitnitsky (DFSZ)-like solution to the strong charge-conjugation-parity (CP) and SUSY \(\mu\) problems, dark matter is expected to be an admixture of both axions and higgsino-like WIMPs. The WIMP/axion abundance calculation requires simultaneous solution of a set of coupled Boltzmann equations which describe quasi-stable axinos and saxions. In most of parameter space, axions make up the dominant contribution of dark matter although regions of WIMP dominance also occur. We show the allowed range of Peccei-Quinn (PQ) scale \(f_a\) and compare to the values expected to be probed by the axion dark matter search experiment (ADMX) axion detector in the near future. We also show WIMP detection rates, which are suppressed from usual expectations, because now WIMPs comprise only a fraction of the total dark matter. Nonetheless, ton-scale noble liquid detectors should be able to probe the entirety of RNS parameter space. Indirect WIMP detection rates are less propitious since they are reduced by the square of the depleted WIMP abundance.

Highlights

  • The discovery of the Higgs boson [1,2] with mass mh = 125.15 ± 0.24 GeV was a great triumph, but it brings with it a conundrum: how is it that scalar fields can occur in nature? The problem lies in the radiative corrections to their masses: they are quadratically divergent in the energy circulating in the loop diagrams

  • We show by the bracket the range of fa, assuming the bulk of DM is axion, which is expected to be probed by the axion dark matter search experiment (ADMX) experiment within the several years [134]

  • We have found in this paper, and in previous works, that if one insists on naturalness—in both the electroweak and the quantum chromodynamics (QCD) sectors— the simple picture of SUSY weakly interacting massive particle (WIMP) dark matter changes radically

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Summary

Introduction

The measured value of the top quark, mt = 173.2 GeV, is in just the right range to drive the up-Higgs soft mass m2Hu to negative values, causing the required breakdown of electroweak symmetry [19,20,21,22,23,24,25,26]. While higgsinos may comprise as little as 5%–10% of the total dark matter abundance, they should be detectable by ton-scale WIMP direct detection experiments owing to their large couplings to the Higgs boson h.

Measuring Naturalness in SUSY Theories
Simple Electroweak Fine-Tuning
Naturalness in QCD
Relic Abundance of Axions and WIMPs with Implications for Axion Detection
Results for Variable μ
Direct and Indirect Detection of WIMPs
Conclusions
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