2018
DOI: 10.1088/1475-7516/2018/01/004
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Primordial black holes as dark matter: converting constraints from monochromatic to extended mass distributions

Abstract: 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 … Show more

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Cited by 118 publications
(150 citation statements)
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“…Therefore the improvements on the modelling are much more important than improvements on the observational constraints. Moreover, given that abundance constraints for PBHs with extended mass distributions are typically of the same order of magnitude of those for monochromatic ones [60][61][62], the use of the former will not shift significantly our predictions. Figure 6 also shows that the range of power spectrum amplitudes needed to generate PBHs as (a component of) the dark matter, can be probed by future experiments, as SKA and LISA.…”
Section: The Reconstruction Of Primordial Power Spectrum Amplitude Anmentioning
confidence: 93%
“…Therefore the improvements on the modelling are much more important than improvements on the observational constraints. Moreover, given that abundance constraints for PBHs with extended mass distributions are typically of the same order of magnitude of those for monochromatic ones [60][61][62], the use of the former will not shift significantly our predictions. Figure 6 also shows that the range of power spectrum amplitudes needed to generate PBHs as (a component of) the dark matter, can be probed by future experiments, as SKA and LISA.…”
Section: The Reconstruction Of Primordial Power Spectrum Amplitude Anmentioning
confidence: 93%
“…In what follows we consider the simplifying assumption of a monochromatic mass function for PBHs, broadly used in the literature. Note, however, that this is not necessarily a realistic assumption, since many mechanisms of PBH formation in the early Universe would generically lead to extended mass distributions, which could bias the obtained constraints [28,63,64,66].…”
Section: Iii1 Global Heating and Ionizationmentioning
confidence: 99%
“…We also obtained constraints for extended mass functions to study the effects related to the width of the peak. Some pioneering work has been done in [12][13][14][15] concerning extended mass functions, predicting that the constraints on an extended distribution should be more stringent than the expected constraint resulting from the addition of monochromatic distributions. The conclusion of these papers is that a simple conversion from monochromatic to extended mass functions is not analytically trivial.…”
Section: B Extended Pbh Distributionmentioning
confidence: 99%