Detecting radio counterparts of compact binary mergers with ground-based facilities

We present a comprehensive study of the potential for detecting radio counterparts to gravitational waves from binary neutron star mergers, utilizing future and next-generation gravitational-wave observatories and radio facilities. Starting from a physically-motivated population of binary neutron star mergers, we focus on events detectable in one year with various gravitational-wave detector networks (including LIGO, Cosmic Explorer, and the Einstein Telescope), that could produce neutron stars as merger remnants. We then simulate radio light curves of potential electromagnetic counterparts of these events, such as afterglows of (structured) relativistic jets and/or dynamical ejecta tails, with or without energy injection from a magnetized neutron star remnant. We assess detection prospects of the radio counterparts with present and future radio facilities, including the next generation Very Large Array.