Primordial black holes and dark matter mass spectrum

TL;DR

This paper explores how primordial black holes could produce various dark matter particles through evaporation, establishing relationships between black hole properties and dark matter spectra, with implications for dark matter mass constraints.

Contribution

It introduces a model linking primordial black hole parameters to multiple dark matter particle spectra, highlighting the overlap of parameter curves for heavy black holes.

Findings

Overlap of $eta$-$M_{ m BH}^{ m in}$ curves for heavy PBHs.

Relation between number of dark matter species and PBH properties.

Constraints on dark matter mass spectra from PBH evaporation.

Abstract

Because primordial black holes (PBHs) evaporate into all particle species in nature, PBHs may emit several dark matter (DM) particle species with specific mass spectra. We assume that PBHs are the only source of DMs, and DMs only interact with the standard model particles gravitationally. We show a relation between the number of DM particle species $N_{\rm DM}$ and initial PBH density $\beta$ and mass $M_{\rm BH}^{\rm in}$. $\beta$-$M_{\rm BH}^{\rm in}$ curves for different $N_{\rm DM}$ tend to overlap with each other for heavy initial PBHs. We also show that the allowed region of DM masses for multiple DM.