Clustering of Primordial Black Holes in Excursion Set Theory
The research investigates how Primordial Black Holes (PBHs) cluster using Excursion Set Theory (EST). It shows that increasing the power spectrum at specific scales boosts PBH formation and their clustering probability. A direct link is established between the blue-tilted spectral index and the mass ranges where these PBHs form and cluster, suggesting they could be dark matter.