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We use realistic Monte-Carlo simulations including both gravitational-waveand short gamma-ray burst selection effects to revisit the coincident rate ofbinary systems composed of two neutron stars or a neutron star and a blackhole. We show that the fraction of GW triggers that can be observed incoincidence with sGRBs is proportional to the beaming factor at $z=0$, butincreases with the distance, until it reaches 100 \% at the GW detector horizondistance. When this is taken into account the rate is improved by a factor of$~3$ compared to the simple beaming factor correction. We provide an estimateof the performance future GRB detectors should achieve in order to fullyexploit the potentiality of the planned third generation GW antenna EinsteinTelescope, and we propose a simple method to constrain the beaming angle ofsGRBs.

Revisiting coincidence rate between Gravitational Wave detection and short Gamma-Ray Burst for the Advanced and third generation