CMB Spectral Distortions Constraints on Primordial Black Holes with Monochromatic Mass Distribution

Abstract

Primordial black holes (PBH) were first theorized by Zeldovich and Novikov in 1967 and then by Hawking in 1972. It is expected that PBH will inject energy into the early universe due to Hawking radiation, this may lead to spectral distortions in the black body spectrum of the cosmic microwave background radiation (CMB). In this work, we studied the spectral distortions of CMB due to PBH, the objective is to obtain constraints on the PBH properties. We used the CLASS code to compute the spectral distortion of CMB. Schwaszchild’s PBH were considered at the mass interval of 10¹¹ and 10¹³ g with a monochromatic mass distribution. The abundance of PBH f_PBH = Ω_PBH/Ω_DM were considered between 10⁻⁵ and 1. The CMB data from COBE-FIRAS was used to compute the PBH constraints. The obtained results do agree with the results reported in previous works. We present two very descriptive maps of the µ and y type spectral distortion amplitudes. The CMB spectral distortions constraints considering an extended mass distribution of PBH is left for future works.