Impact of correlated noise on the reconstruction of the stochastic gravitational wave background with Einstein Telescope
Abstract: The Einstein Telescope (ET) will have unprecedented sensitivity, aiming the detection of the stochastic gravitational-wave background (SGWB) from astrophysical and cosmological sources. ET’s triangular configuration offers advantages such as enhanced sky coverage and polarization sensitivity, but it faces challenges from correlated seismic Newtonian noise, which affects low-frequency SGWB detection. In this talk, I will present a Bayesian analysis using mock simulated data, demonstrating that accurate SGWB parameter reconstruction is achievable when correlated noise is properly modeled. I demonstrate that neglecting these correlations results in significant biases. Comparing the triangular configuration with a two-detector L-shaped (2L) setup, I show that while the 2L design offers slightly better parameter estimation, the triangular configuration remains highly competitive, when correlated noise is handled correctly.