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

TL;DR

This study uses simulations to reassess the coincident detection rate of gravitational waves and short gamma-ray bursts, accounting for selection effects and detector sensitivities, with implications for future observatories.

Contribution

It introduces a realistic simulation framework to estimate coincident detection rates and proposes a method to constrain sGRB beaming angles for advanced GW detectors.

Findings

Coincident detection rate increases with distance, reaching 100% at the GW horizon.

The rate is improved by a factor of ~3 when considering distance-dependent effects.

Future GRB detectors can significantly enhance the joint detection potential.

Abstract

We use realistic Monte-Carlo simulations including both gravitational-wave and short gamma-ray burst selection effects to revisit the coincident rate of binary systems composed of two neutron stars or a neutron star and a black hole. We show that the fraction of GW triggers that can be observed in coincidence with sGRBs is proportional to the beaming factor at $z=0$, but increases with the distance, until it reaches 100 \% at the GW detector horizon distance. 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 estimate of the performance future GRB detectors should achieve in order to fully exploit the potentiality of the planned third generation GW antenna Einstein Telescope, and we propose a simple method to constrain the beaming angle of sGRBs.