Singlino Resonant Dark Matter and 125 GeV Higgs Boson in High-Scale Supersymmetry

We consider a singlino dark matter (DM) scenario in a singlet extension model of the minimal supersymmetric standard model, which is the so-called the nearly minimal supersymmetric standard model. We find that with high-scale supersymmetry breaking the singlino can obtain a sizable radiative correction to the mass, which opens a window for the DM scenario with resonant annihilation via the exchange of the Higgs boson. We show that the current DM relic abundance and the Higgs boson mass can be explained simultaneously. This scenario can be fully probed by XENON1T.

Figure 1

The singlino thermal relic abundance and experimental constraints or future prospects. The black lines denote the ratio of the thermal relic abundance ${\mathrm{\Omega }}_{\tilde{s}}{h}^2$ to the current DM density ${\mathrm{\Omega }}_c{h}^2=0.1199$ [9]. The singlino relic density overcloses the Universe at the dark-shaded region. The regions above the red solid lines are excluded by the Higgs invisible decay ($h\to \tilde{s}\tilde{s}$) searches of CMS (${\mathrm{Br}}_h^{\text{inv}}\le 58\%$) [24] for the upper line (yellow-shaded region) and by the global fit of the Higgs couplings (19%) [25] for the lower line. The dashed red lines correspond to the future sensitivity of high luminosity LHC (6.2%) [26] and ILC with $\mathcal{L}=1150{\mathrm{fb}}^{-1}$ at $\sqrt{s}=250\mathrm{GeV}$ (0.4%) [27]. The blue-shaded regions are excluded by XENON100 [28] and LUX [29]. The regions above the blue and the green dashed lines can be probed by the future direct DM searches of LUX [30] and XENON1T [20].

Figure 2

Typical one-loop diagram which contributes to the singlino mass.

Figure 3

The one-loop-level singlino mass and the tree-level one as a function of $M_S$.

Figure 4

Contours of $m_{\tilde{s}}$ (red lines), ${\lambda }_{\mathrm{eff}}$ (blue lines), and $m_h$ (black dashed lines) in the $M_S$-$\tan \beta$ plane assuming $\lambda ={\lambda }_{\max }$ at each point. On the red-shaded region ($55.5\mathrm{GeV}<m_{\tilde{s}}<62.7\mathrm{GeV}$), the resonant annihilation via the Higgs boson can occur. The green-shaded region satisfies $125\mathrm{GeV}<m_h<126\mathrm{GeV}$. The blue (dark blue)-shaded region is excluded by the current limits from LUX [29] (XENON [28]). The yellow-shaded region is excluded by the Higgs invisible decay search at the CMS [24], and the magenta dashed line is the current bound by the global fit of the Higgs couplings [25].

Figure 5

Contours of $m_{\tilde{s}}$ (red lines) and ${\lambda }_{\mathrm{eff}}$ (blue lines) in the $M_S$-$\tan \beta$ plane under $m_h=125.5\mathrm{GeV}$ by changing $\lambda$, $0\le \lambda \le {\lambda }_{\max }$. On the purple line, the singlino relic abundance ${\mathrm{\Omega }}_{\tilde{s}}{h}^2$ is consistent with the current value ${\mathrm{\Omega }}_c{h}^2=0.1199$ [9]. In the light blue region, ${\mathrm{\Omega }}_{\tilde{s}}{h}^2\le {\mathrm{\Omega }}_c{h}^2$. The left side of the blue (green) dashed line can be probed by the future DM search LUX [30] (XENON1T [20]). The ILC [27] can cover the left side of the magenta dashed line. Other lines are the same as in Fig. 4.