Current status of a natural NMSSM in light of LHC 13 TeV data and XENON-1T results

In the natural realization of the next-to-minimal supersymmetric Standard Model, Higgsinos tend to be lighter than about several hundred GeVs, which can induce detectable leptonic signals at the LHC as well as large dark matter (DM)-nucleon scattering cross section. We explore the constraints from the direct searches for electroweakino and slepton at the LHC Run II and the latest DM direct detection experiments on the scenario with low fine tuning indicator ${\mathrm{\Delta }}_{Z/h}\le 50$. We find that these experiments are complementary to each other in excluding the scenario, and as far as each kind of experiment is concerned, it is strong enough to exclude a large portion of the parameter space. As a result, the scenario with bino- or Higgsino-dominated DM is disfavored, and that with singlino-dominated DM is tightly limited. There are two regions in natural next-to-minimal supersymmetric standard model parameter space surviving in the current experimental limits. One is featured with a decoupled singlino-dominated lightest supersymmetric particle with $\mu \simeq m_{{\tilde{\chi }}_1^0}$, which cannot be explored by neither DM detections or collider searches. The other parameter space region is featured by ${10}^{-47}{\mathrm{cm}}^2\lesssim {\sigma }_{\tilde{\chi }-p}^{\mathrm{SI}}\lesssim {10}^{-46}{\mathrm{cm}}^2$ and the correlation $\mu \simeq m_{{\tilde{\chi }}_1^0}$, which will be explored by near future DM detection experiments.

Figure 1

Samples satisfying constraints described in Sec. 2b before implementing the latest LHC Run II and DM direct detection experimental limits. Panel (a) shows the fine tuning indicators ${\mathrm{\Delta }}_Z$ vs ${\mathrm{\Delta }}_h$. Panels (b), (c), and (d) display the cases of bino-, singlino-, and Higgsino-dominated DM respectively, on $m_{{\tilde{\chi }}_1^0}-m_{{\tilde{\chi }}_1^{\pm }}$ plane. The colors indicate the Higgsino mass $\mu$ in panel (a), and the slepton mass $m_{\tilde{\ell }}$ in panels (b), (c) and (d).

Figure 2

Samples with bino-dominated DM in the scan, which are projected on different planes with grey color indicating the points excluded by both LHC Run II and DM direct detection constraints, and yellow color and green color indicating points excluded only by DM experiments and LHC experiments, respectively. Samples with $m_{\tilde{\ell }}<\mu$ and $m_{\tilde{\ell }}>\mu$ are denoted by dot and triangle, respectively.

Figure 3

Same as Fig. 2, but for singlino-dominated DM case with blue color indicating points that survive both the LHC Run II results and the DM detection results.

Figure 4

Similar to Fig. 2, but for Higgsino-dominated DM case.

Figure 5

Samples obtained in the scan, which are projected on $\lambda -\kappa$ and $\mu \text{−}\tan \beta$ planes. The grey color samples have been excluded by the LHC Run II experiments and the DM direct detection experiments, and the blue ones are still experimentally allowed. Samples with $\kappa >0$ and $\kappa <0$ are denoted by triangle and dot respectively.

Figure 6

Fine tunings of the natural NMSSM scenario before and after considering the LHC Run II and DM detection results with different colors representing the values of $\mu$, which is indicated by the color bar on the right side of the figure.

Figure 7

Samples in the scan Eq. (8) surviving all the constraints considered in this work, which are projected on $m_{{\tilde{\chi }}_1^0}\text{−}{\mathrm{\Delta }}_{\mathrm{\Omega }{h}^2}$ plane and ${\mathrm{\Delta }}_Z\text{−}{\mathrm{\Delta }}_h$ plane, respectively. In the left panel, the color indicates the mass difference between ${\tilde{\chi }}_1^{\pm }$ and ${\tilde{\chi }}_1^0$, and in the right panel, the blue (gray) points stand for the samples which are able to (unable to) explain the discrepancy of the muon anomalous magnetic moment at $2\sigma$ level.