Abstract
The vanishing of the Higgs quartic coupling at a high energy scale may be explained by Intermediate Scale Supersymmetry, where supersymmetry breaks at (109-1012) 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 1012 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.
Highlights
The discovery of the Higgs boson at the Large Hadron Collider (LHC) completes the Standard Model (SM)
Unlike in [7, 8], we study the case of Higgsino or sneutrino Lightest Supersymmetric Particle (LSP) dark matter with mass of order m, since this gives a direct detection signal that is correlated with the Higgs quartic scale
We find that the discovery of a direct detection signal implies an upper bound on the top quark mass and a lower bound on the strong coupling constant
Summary
We take the SM to be the effective theory below the scale of supersymmetry breaking, m. For a wide range of parameters of this Higgs sector, we find λ(m ) 0.01; remarkably there are large regions with λ(m ) 0.001, and the supersymmetry breaking scale mmay be identified with the Higgs quartic scale μλ. Where μ is the supersymmetric Higgs mass parameter, while m2Hu, m2Hd, and Bμ are supersymmetry-violating mass parameters These parameters are all taken real, without loss of generality, and have sizes determined by the scale of supersymmetry breaking, m. Over a wide range of values for m2Hu, m2Hd, and μ the cos2 2β factor gives a significant further suppression of λ(m )tree, as shown in figure 2. The gray-shaded region is excluded since μ2 + m2Hu < 0 or μ2 + m2Hd < 0 and there is no stable vacuum with a large hierarchy between the weak scale and the supersymmetry breaking scale. There is a remarkably large region of parameter space in figure 2 with λ(m )tree < 0.003
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