Primordial black holes and scotogenic dark matter

TL;DR

This paper investigates how primordial black holes influence and are constrained by scotogenic dark matter, deriving bounds on their initial masses and dark matter properties based on evaporation timing and cosmological eras.

Contribution

It provides new constraints on primordial black hole initial masses and dark matter mass scales within the scotogenic model, considering different evaporation eras.

Findings

Upper limit on initial PBH mass: 10^4 to 10^{10} M_{Pl} for TeV-scale dark matter.

Heavy dark matter (≥10^9 GeV) may be compatible with PBHs evaporating during PBH-dominated era.

Constraints depend on whether PBHs evaporate during radiation or matter-dominated eras.

Abstract

We study the effect of the scotogenic dark matter on the primordial black holes (PBHs) and vice versa. We show that if the PBHs evaporate in the radiation dominant era, the upper limit of the initial mass of the PBHs $M_{\rm in}$ should be constrained as $10^4 \lesssim M_{\rm in}/M_{\rm Pl} \lesssim 10^{10}$ for $\mathcal{O}$(1) TeV scotogenic dark matter ($\mathcal{O}$(1) TeV is the most appropriate energy scale in the scotogenic model). On the other hand, if the PBHs evaporate in the PBH dominated era, a quite heavy scotogenic dark matter ($m_{/rm DM} /gtrsim 10^9$ GeV) for $M_{/rm in}/M_{/rm Pl} /sim 10^{13}$ may be allowed.