Comparison of global networks of third-generation gravitational-wave detectors

We study the performances of a world-wide network made by a European third-generation gravitational-wave (GW) detector, together with a 40km Cosmic Explorer detector in the US, considering three scenarios for the European detector: (1) Einstein Telescope (ET) in its 10km triangle configuration; (2) ET in its configuration featuring two 15km L-shaped detectors in different sites, still taken to have all other ET characteristics (underground, and with each detector made of a high-frequency interferometer and a cryogenic low-frequency interferometer); (3) A single L-shaped underground interferometer with the ET sensitivity curve, either with 15km or with 20km arm length. Overall, we find that, if a configuration with two widely separated L-shaped detectors ("2L") should be retained for ET, the network made by a single-L European underground detector together with CE-40km could already provide a very interesting intermediate step toward the construction of a full 2L+CE network, and is in any case superior to a 10km triangle not inserted in an international network. We also study the performance of a network made by a single L-shaped underground interferometer with the ET sensitivity curve together with a single 40km CE and with LIGO-India (taken at A# sensitivity), and we find that it also has very interesting performances.