Abstract

In the framework of the MSSM, we examine several simplified models where only a few superpartners are light. This allows us to study WIMP--nucleus scattering in terms of a handful of MSSM parameters and thereby scrutinize their impact on dark matter direct-detection experiments. Focusing on spin-independent WIMP--nucleon scattering, we derive simplified, analytic expressions for the Wilson coefficients associated with Higgs and squark exchange. We utilize these results to study the complementarity of constraints due to direct-detection, flavor, and collider experiments. We also identify parameter configurations that produce (almost) vanishing cross sections. In the proximity of these so-called blind spots, we find that the amount of isospin violation may be much larger than typically expected in the MSSM. This feature is a generic property of parameter regions where cross sections are suppressed, and highlights the importance of a careful analysis of the nucleon matrix elements and the associated hadronic uncertainties. This becomes especially relevant once the increased sensitivity of future direct-detection experiments corners the MSSM into these regions of parameter space.

Highlights

  • Mass and anomalous magnetic moment of the muon

  • An analytical understanding of the underlying parameter space can instead be obtained in the context of so-called simplified models, defined1 [30] to be minimal theories of weak-scale SUSY where all but a handful of the superpartners relevant for DM phenomenology are decoupled from the spectrum

  • We conclude this section by anticipating a key result of our analysis: isospin-violating effects can be magnified in the proximity of blind spots, where the SI direct-detection cross section lies below the lower bounds set by the irreducible neutrino background

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Summary

Spin-independent neutralino-nucleus cross section: scalar matrix elements

– Method 1: based on χPT2 [66], with fuN,d determined from (2.6) and fsN from lattice QCD It is well known [99] that the χ-nucleon cross section is sensitive to the value of fsN. Where ms/m = (27.4±0.4) [80], the strangeness content is taken from the relation y = 1−σ0/σπN , with σ0 = (36±7) MeV [100], and z 1.49 is extracted from leading-order fits to the baryon mass spectrum [79] This approach introduces uncertainties that are difficult to quantify and is sensitive to the precise value of σπN.

Simplified models: blind spots and isospin violation
SM-like Higgs exchange
Light and heavy Higgs exchange
SM-like Higgs and light squark exchange
Generic Higgs and light squark exchange
Conclusions
A Perturbative diagonalization of the neutralino mass matrix
Findings
B Analytic expressions for χ-nucleon scattering

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