Implications of the 125 GeV Higgs boson for scalar dark matter and for the CMSSM phenomenology

TL;DR

This work analyzes how a Higgs boson mass near $125 \pm 1$ GeV reshapes the viability and phenomenology of both non-supersymmetric scalar dark matter models and the CMSSM. It shows that scalar DM scenarios can stabilize the Higgs potential up to the GUT/Planck scale via Higgs-portal interactions, while in the CMSSM a heavy Higgs pushes the SUSY spectrum to higher scales, creating distinct DM freeze-out regimes with concrete LHC and direct-detection predictions. The study identifies slepton and stop co-annihilation as the most testable CMSSM channels under current constraints, and highlights a tension with the $(g-2)_{\mu}$ measurement that can severely limit viable parameter space. Overall, the results map out sharp, testable correlations between Higgs mass, DM properties, and superpartner spectra across scalar DM and CMSSM frameworks.

Abstract

We study phenomenological implications of the ATLAS and CMS hint of a $125\pm 1$ GeV Higgs boson for the singlet, and singlet plus doublet non-supersymmetric dark matter models, and for the phenomenology of the CMSSM. We show that in scalar dark matter models the vacuum stability bound on Higgs boson mass is lower than in the standard model and the 125 GeV Higgs boson is consistent with the models being valid up the GUT or Planck scale. We perform a detailed study of the full CMSSM parameter space keeping the Higgs boson mass fixed to $125\pm 1$ GeV, and study in detail the freeze-out processes that imply the observed amount of dark matter. After imposing all phenomenological constraints except for the muon $(g-2)_μ,$ we show that the CMSSM parameter space is divided into well separated regions with distinctive but in general heavy sparticle mass spectra. Imposing the $(g-2)_μ$ constraint introduces severe tension between the high SUSY scale and the experimental measurements -- only the slepton co-annihilation region survives with potentially testable sparticle masses at the LHC. In the latter case the spin-independent DM-nucleon scattering cross section is predicted to be below detectable limit at the XENON100 but might be of measurable magnitude in the general case of light dark matter with large bino-higgsino mixing and unobservably large scalar masses.

Figures (6)

• Figure 1: Running of the SM Higgs boson self-coupling $\lambda$ for different Higgs boson masses at two loop level.
• Figure 2: Running of the Higgs self-coupling in the complex singlet model for two different values of $\lambda_{S1}$.
• Figure 3: Left: Scatter plot of the Higgs boson mass predictions in the singlet plus doublet DM model at one loop level. The blue line shows the SM one loop vacuum stability bound $M_H>131.5$ GeV for a fixed $\Lambda_{\rm GUT}=2.1\times 10^{16}$ GeV. The light red area is excluded by the CMS, the green area shows $125\pm 1$ GeV. Gray points are excluded by the XENON100 bound, black points satisfy the XENON100 bound. Right: Dark matter spin-independent cross section $\sigma_{\rm SI}$ vs. DM mass. The black line is the XENON100 bound. Green points have $M_H$ in the $125\pm1$ GeV range.
• Figure 4: Scatter plots over the CMSSM parameter space keeping $M_H=125\pm 1$ GeV. Colours represent different dominant DM freeze-out processes. Light blue: slepton co-annihilation; green: stop co-annihilation; red to orange: well-tempered neutralino, yellow: higgsino; dark blue: heavy Higgs resonances. No $(g-2)_\mu$ constraint is imposed.
• Figure 6: The same as in Fig. \ref{['fig2']} but in $(M_{\tilde{t}_1},\tan\beta)$ and $(M_{A},\tan\beta)$ planes.