Detectability and parameter estimation for Einstein Telescope configurations with GWJulia

Future gravitational-wave (GW) detectors are expected to detect tens of thousands of compact binary coalescences (CBC) per year, depending also on the final detectors layout. For this reason, it is essential to have a fast, reliable tool for forecasting how different detector layouts will affect parameter estimation for these events. The Fisher Information Matrix (FIM) is a common tool for tackling this problem. In this paper, we present a new open source code GWJulia to perform FIM analysis of CBC parameters, i.e., stellar black-hole binaries (BBH), neutron star binaries (BNS), and neutron star-black hole binaries (NSBH). The code is purely written in Julia, making it fast while maintaining a high level of accuracy. We consider a set of case studies to compare different Einstein Telescope (ET) designs. We compare a 10 km triangular configuration with two 15 km L-shaped detectors with different orientations and temperatures. We discuss also the accuracy of combinations of parameters, which is very informative for cosmology or population studies. Finally, we focus on the detection of golden events and explore how the FIM can guide posterior sampling of GW signals using a novel Hamiltonian Monte Carlo (HMC) sampler. The code is publicly available https://github.com/andrea-begnoni/GW.jl.