  Simplified models of light new physics provide a convenient benchmark for
experimental searches for new physics signatures, including dark matter (DM).
However, additional detection modes can arise in less simplified and more
realistic scenarios where new degrees of freedom are invoked. In this study, we
introduce a non-minimal model based on a popular dark photon portal to DM where
the mediator mass is obtained by interactions with the dark Higgs boson which
acts as a long-lived particle. We further add to this scenario a new heavy DM
species secluded from the Standard Model. In this model, which involves light
and heavy particles in the dark sector, we find some new interesting
phenomenological features that lead to complementary probes in intensity
frontier searches for light long-lived particles, indirect detection searches
for dark matter, and cosmic microwave background surveys. We also find possible
non-local effects in the DM indirect detection searches that could
significantly affect the usual detection strategies.
