WIMP and FIMP dark matter in the inert doublet plus singlet model

We consider multicomponent dark matter in a model where one dark matter component is feebly interacting (FIMP) while the second is weakly interacting (WIMP). The model contains an inert scalar doublet and a complex scalar singlet and features a discrete Z₄ symmetry. Using new features of micromegas that allow us to compute the relic density for multicomponent dark matter including WIMPs and FIMPs, we determine the parameter space that satisfies theoretical constraints, collider constraints, relic density as well as direct and indirect detection limits. We discuss the possibility to probe the model through collider and astrophysical searches. We find that it is possible that the FIMP forms the dominant dark matter (DM) component, in this case the astrophysical signatures of the WIMP are much suppressed. We also explore the case where the doublet can decay into pairs of singlets leaving only one DM component, the FIMP. These scenarios are constrained by cosmology, notably big bang nucleosynthesis, and can be explored at colliders while astrophysical signatures are suppressed.