GRB lensing parallax: Closing primordial black hole dark matter mass window

Abstract

The primordial black hole (PBH) comprising full dark matter (DM) abundance is currently allowed if its mass lies between $10^{-16}{M}_{\odot }\lesssim M\lesssim 10^{-11}{M}_{\odot }$. This lightest mass range is hard to be probed by ongoing gravitational lensing observations. In this paper, we advocate that an old idea of the lensing parallax of Gamma-ray bursts (GRBs), observed simultaneously by spatially separated detectors, can probe the unconstrained mass range; and that of nearby stars can probe a heavier mass range. In addition to various good properties of GRBs, astrophysical separations achievable around us --- $r_{\oplus }\text{–}$ AU --- is just large enough to resolve the GRB lensing by lightest PBH DM.

arXiv comment8 pages, 4 figures

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