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The Weakly Interacting Massive Particle (WIMP) has been one of the mostattractive candidates for Dark Matter (DM), and the lightest neutralino($\widetilde{\chi}^0_1$) in the Next-to-Minimal Supersymmetric Standard Model(NMSSM) is an interesting realization of WIMP. The Galactic Center Excess (GCE)can be explained by WIMP DM annihilations in the sky. In this work we considerthe $Z_3$-NMSSM where the singlet $S$ and Singlino $\widetilde{S}^0$ componentsplay important roles in the Higgs and DM sector. Guided by our analyticalarguments, we perform a numerical scan over the NMSSM parameter space for theGCE explanation by considering various observables such as the Standard Model(SM) Higgs data measured by the ATLAS and CMS experiments, and the $B$-physicsobservables $BR(B_s\rightarrow X_s\gamma)$ and $BR(B_s\rightarrow \mu^+\mu^-)$.We find that the correlation between the coupling $C_{A_1 b\bar{b}}$ in$\langle \sigma_{b\bar{b}} v \rangle _{0}$ and the coupling $C_{Z\widetilde{\chi}^0_1 \widetilde{\chi}^0_1}$ in DM-neutron Spin Dependent (SD)scattering rate $\sigma^{SD}_{\widetilde{\chi}^0_1-N}$ makes all samples weobtain for GCE explanation get excluded by the PandaX-II results. Although theDM resonant annihilation scenarios may be beyond the reach of our analyticalapproximations and scan strategy, the aforementioned correlation can be areasonable motivation for future experiments such as PandaX-nT to further testthe NMSSM interpretation of GCE.

european physical journal. c, particles and fields

Interpretations of galactic center gamma-ray excess confronting the  PandaX-II constraints on dark matter-neutron spin-dependent scatterings in  the NMSSM