A common origin of muon g-2 anomaly, Galaxy Center GeV excess and AMS-02 anti-proton excess in the NMSSM

The Fermilab E989 experiment has recently reported their result of muon anomalous magnetic moment ($g$-2). Combined with the E821 result, the discrepancy with the Standard Model (SM) reaches $4.2\sigma$, which may indicate the light new physics related with the electroweak interactions. On the other hand, the observed Galactic Center GeV Excess (GCE) and anti-proton excess can also be explained by the light weakly interacting massive particle dark matter. In this work, we attempt to pin down a common origin of these anomalies in the Next-to-Minimal Supersymmetric Model. By considering various constraints, we find that the eletroweakinos and sleptons have to be lighter than about 1 TeV, and the geometric mean of their masses need to be less than about 375 GeV to interpret the muon $g-2$ within $2\sigma$ range. In order to accommodate both the muon $g-2$ and GCE, the bino-like neutralino DM is needed and has to resonantly annihilate through the $Z$ boson or Higgs boson to give the correct relic density. Besides, the DM annihilating cross section for GCE can be achieved by a singlet-like Higgs boson via $s$-channel. If the anti-proton excess is explained together, only the Higgs funnel is feasible. We point out that the favored parameter space to explain all these anomalies can be probed by the future direct detection experiments.