Universe, Vol. 11, Pages 311: Constraining the Primordial Black Hole Mass Function by the Lensing Events of Fast Radio Bursts

Universe doi: 10.3390/universe11090311

Authors:
Jing-Hao Li
Shi-Jie Wang
Xin-Yang Zhao
Nan Li

Light from fast radio bursts (FRBs) can be deflected by the gravitational lensing effect of primordial black holes (PBHs), if they are distributed along the path from the FRBs to the observer. Consequently, the PBH mass function can be constrained by the lensing events of FRBs. In this work, four different PBH mass functions are investigated (i.e., the monochromatic, log-normal, skew log-normal, and power-law distributions), and the constraints on the model parameters are obtained, if the PBH abundance fPBH and the event rate of lensed FRBs τ¯ are given. We find that, if τ¯<10−4 in future FRB experiments, fPBH will be less than 10−2.5 in most of the PBH mass range from 1–100M⊙ for the monochromatic mass function. Moreover, for the three extended mass functions, τ¯ increases when the PBH mass distributions spread to larger masses, setting more stringent constraints on fPBH.

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Jing-Hao Li www.mdpi.com