Primordial Black Holes as Dark Matter: Converting Constraints from Monochromatic to Extended Mass Distributions

Abstract

The model in which Primordial Black Holes (PBHs) constitute a non-negligible fraction of the dark matter has (re)gained popularity after the first detections of binary black hole mergers. Most of the observational constraints to date have been derived assuming a single mass for all the PBHs, although some more recent works tried to generalize constraints to the case of extended mass functions. Here we derive a general methodology to obtain constraints for any PBH Extended Mass Distribution (EMD) and any observables in the desired mass range. Starting from those obtained for a monochromatic distribution, we convert them into constraints for EMDs by using an equivalent, effective mass $M_{\mathrm{eq}}$ that depends on the specific observable. We highlight how limits of validity of the PBH modelling affect the EMD parameter space. Finally, we present converted constraints on the total abundance of PBH from microlensing, stellar distribution in ultra-faint dwarf galaxies and CMB accretion for Lognormal and Power Law mass distributions, finding that EMD constraints are generally stronger than monochromatic ones.

23 pages, 10 figures. Minor revisions. Matches published version

References in corpus (11)

• Primordial Black Holes as Dark Matter
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Cosmic microwave background limits on accreting primordial black holes
• Effect of Primordial Black Holes on the Cosmic Microwave Background and Cosmological Parameter Estimates
• CMB bounds on disk-accreting massive Primordial Black Holes
• Microlensing and dynamical constraints on primordial black hole dark matter with an extended mass function
• Farthest Neighbor: The Distant Milky Way Satellite Eridanus II
• On the Reported Death of the MACHO Era
• Orbital eccentricities in primordial black holes binaries
• Primordial black holes from inflaton and spectator field perturbations in a matter-dominated era
• Cosmological implications of Primordial Black Holes

Cited by in corpus (3)

• Primordial black hole merger rates: distributions for multiple LIGO observables
• Constraining Primordial Black Hole Fraction at the Galactic Centre using radio observational data
• Regular multihorizon black holes in $f(G)$ gravity with nonlinear electrodynamics