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We present new constraints on the merging rates of planetary-mass andasteroid-mass primordial black hole binaries using limits on continuouswaves(quasi-monochromatic, quasi-infinite duration signals) derived from anall-sky search for isolated compact objects in the first six months of thethird observing run (O3a) of LIGO/Virgo. We calculate the merging rates ofthese binaries in a model-independent way, and convert them to constraints onthe primordial black hole abundance with minimal modelling assumptions. Ourresults show that we are sensitive to sources at most $\mathcal{O}(10$ pc) awayfor systems with chirp masses of $\mathcal{O}(10^{-5}M_\odot)$ atgravitational-wave frequencies around 30-40 Hz. These results also show thatcontinuous-wave searches could in the future directly probe the existence ofplanetary-mass and asteroid-mass primordial black holes, especially those inbinaries with asymmetric mass ratios. Furthermore, they demonstrate that newmethods accounting for the full nonlinear gravitational-wave frequencyevolution are needed to improve constraints on primordial black holes.

Constraints on planetary and asteroid-mass primordial black holes from continuous gravitational-wave searches