NMSSM interpretation of the Galactic Center excess

We explore models for the GeV Galactic Center excess (GCE) observed by the Fermi Telescope, focusing on χχ→ff̄ annihilation processes in the Z₃ next-to-minimal supersymmetric standard model (NMSSM). We begin by examining the requirements for a simplified model [parametrized by the couplings and masses of dark matter (DM) and mediator particles] to reproduce the GCE via χχ→ff̄, while simultaneously thermally producing the observed relic abundance. We apply the results of our simplified model to the Z₃ NMSSM for singlino/Higgsino (S/H) or bino/Higgsino (B/H) DM. In the case of S/H DM, we find that the DM must be very close to a pseudoscalar resonance to be viable, and large tanβ and positive values of μ are preferred for evading direct detection constraints while simultaneously obtaining the observed Higgs mass. In the case of B/H DM, by contrast, the situation is much less tuned: annihilation generally occurs off resonance, and for large tanβ, direct detection constraints are easily satisfied by choosing μ sufficiently large and negative. The B/H model generally has a light, largely MSSM-like pseudoscalar with no accompanying charged Higgs, which could be searched for at the LHC.