Extreme Primordial Black Holes

TL;DR

This paper develops a formalism to predict the maximum mass distribution of primordial black holes within observational volumes, linking observational constraints to extreme PBH masses and enabling analysis across various formation theories.

Contribution

It introduces a novel formalism for calculating the probability distribution of the most massive PBHs, applicable to multiple formation models and observational constraints.

Findings

Constraints on PBH masses from observational bounds

Formalism for extreme-value distribution of PBHs

Applicability to various formation theories

Abstract

We present a formalism for calculating the probability distribution of the most massive primordial black holes (PBHs) expected within an observational volume. We show how current observational upper bounds on the fraction of PBHs in dark matter translate to constraints on extreme masses of primordial black holes. We demonstrate the power of our formalism via a case study, and argue that our formalism can be used to produce extreme-value distributions for a wide range of PBH formation theories.