Constraining the lensing of binary neutron stars from their stochastic background

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Gravitational wave (GW) transients from binary neutron star (BNS) coalescences can, in principle, be subject to gravitational lensing thereby increasing the amplitude and signal-to-noise ratio. We estimate the rate of lensed BNS events resolvable by LIGO and Virgo and find that it is constrained by the current nondetection of a stochastic GW background. Following closely the formalism we developed previously [R. Buscicchio et al., Phys. Rev. Lett. 125, 141102 (2020)., 10.1103/PhysRevLett.125.141102] in the context of binary black hole lensing, we show that at current sensitivities the fraction of BNS coalescences with lensing magnifications μ >1.02 is less than ∼7 ×10-8 and therefore such events should not be expected in the near future. We also make predictions for projected future sensitivities.
Original languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Publication statusAccepted/In press - 28 Sept 2020


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