Sub-TeV Singlino Dark Matter in light from Sagittarius A and LUX-ZEPLIN Nuclear-Recoil Event

We investigate the impact of a dark matter density spike surrounding the Milky Way's supermassive black hole (SMBH) on the detectability of Singlino-dominated neutralino dark matter within the Next-to-Minimal Supersymmetric Standard Model (NMSSM). Similar density enhancements, or mini-spikes, around stellar-mass black holes (sBHs), have also been considered. Such a dark matter (DM) candidate typically produces weak indirect detection signals in conventional dark matter halos. Additionally, a Singlino-like lightest supersymmetric particle (LSP) is very difficult to probe at the LHC or through direct DM searches. Furthermore, a Singlino-like LSP with an almost degenerate Higgsino NLSP can produce an observable inelastic DD signal and is compatible with the anomalous high-recoil event recently reported by the LZ collaboration. Keeping these in consideration, we examine the prospects for detecting these sub-TeV dark matter scenarios through gamma-ray observations of the regions surrounding the SMBH Sgr A and the sBH in the low-mass X-ray binary XTE J1118+480.