Dark Matter Detection, Standard Model Parameters, and Intermediate Scale Supersymmetry

TL;DR

This paper explores how intermediate scale supersymmetry could explain the Higgs quartic coupling's behavior, linking dark matter properties with precise Standard Model measurements and discussing implications for dark matter detection and early universe cosmology.

Contribution

It establishes a correlation between dark matter mass, Standard Model parameters, and supersymmetry breaking scale, providing bounds and insights into dark matter detection prospects.

Findings

Dark matter mass is bounded by top quark mass and strong coupling constant.

Precise measurements can narrow down supersymmetry breaking scales.

Dark matter could be explained by freeze-out or freeze-in mechanisms after inflation.

Abstract

The vanishing of the Higgs quartic coupling at a high energy scale may be explained by Intermediate Scale Supersymmetry, where supersymmetry breaks at $(10^9$-$10^{12})$ GeV. The possible range of supersymmetry breaking scales can be narrowed down by precise measurements of the top quark mass and the strong coupling constant. On the other hand, nuclear recoil experiments can probe Higgsino or sneutrino dark matter up to a mass of $10^{12}$ GeV. We derive the correlation between the dark matter mass and precision measurements of standard model parameters, including supersymmetric threshold corrections. The dark matter mass is bounded from above as a function of the top quark mass and the strong coupling constant. The top quark mass and the strong coupling constant are bounded from above and below respectively for a given dark matter mass. We also discuss how the observed dark matter abundance can be explained by freeze-out or freeze-in during a matter-dominated era after inflation, with the inflaton condensate being dissipated by thermal effects.