Constraints on amplitudes of curvature perturbations from primordial black holes

Abstract

We calculate the primordial black hole (PBH) mass spectrum produced from a collapse of the primordial density fluctuations in the early Universe using, as an input, several theoretical models giving the curvature perturbation power spectra with large (~ 0.01 - 0.1) values at some scale of comoving wave numbers k. In the calculation we take into account the explicit dependence of gravitational (Bardeen) potential on time. Using the PBH mass spectra, we further calculate the neutrino and photon energy spectra in extragalactic space from evaporation of light PBHs, and the energy density fraction contained in PBHs today (for heavier PBHs). We obtain the constraints on the model parameters using available experimental data (including data on neutrino and photon cosmic backgrounds). We briefly discuss the possibility that the observed 511 keV line from the Galactic center is produced by annihilation of positrons evaporated by PBHs.

15 pages, 11 figures. v2: version prepared for the publication in the journal. The introduction is rewritten, many new references are added. v3: published version. Several clarifications were added, title was changed according to the Editor's recommendation

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Cited by in corpus (19)

• Constraints on Primordial Black Holes
• Primordial Black Holes as Dark Matter
• Stochastic gravitational waves associated with the formation of primordial black holes
• Observational Evidence for Primordial Black Holes: A Positivist Perspective
• Constraints on the induced gravitational wave background from primordial black holes
• Constraining primordial black holes as dark matter using the global 21-cm signal with X-ray heating and excess radio background
• Primordial black holes in peak theory with a non-Gaussian tail
• Dark Matter Density Spikes around Primordial Black Holes
• Generating Primordial Black Holes Via Hilltop-Type Inflation Models
• The double formation of primordial black holes
• Evaporating Primordial Black Holes in Gamma Ray and Neutrino Telescopes
• Constraints on Primordial Power Spectrum from Galaxy Luminosity Functions
• Impacts of Hawking Radiation from Primordial Black Holes in Critical Collapse Model on the Light Element Abundances
• Probing the primordial Universe with 21-cm line from cosmic dawn/epoch of reionization
• The Irrelevance of Primordial Black Hole Clustering in the LVK mass range
• A novel formulation of the PBH mass function
• Non-collider searches for stable massive particles
• Beware of the running $n_s$ when producing heavy primordial black holes
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation