Title: Constraining scotogenic dark matter and primordial black holes using gravitational waves

Abstract: The lightest $Z_2$ odd particle in the scotogenic model, referred to as scotogenic dark matter (DM), is a widely studied candidate for DM. This scotogenic DM is generated through well-known thermal processes as well as via the evaporation of primordial black holes (PBHs). Recent reports suggested that the curvature fluctuations of PBHs during an epoch dominated by these entities in the early universe can serve as the source of so-called induced gravitational waves (GWs). In this study, we demonstrate that stringent constraints on the mass of scotogenic DM and PBHs can be obtained through the detection of induced GWs using future detectors.