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Seismic Newtonian noise is predicted to limit the sensitivity of the EinsteinTelescope. It can be reduced with coherent noise cancellation techniques usingdata from seismometers. To achieve the best results, it is important to placethe seismic sensors in optimal positions. A preliminary study on this topic wasconducted for the Einstein Telescope (ET): it focused on the optimization ofthe seismic array for the cancellation of Newtonian noise at an isolated testmass. In this paper, we expand the study to include the nested shape of ET,i.e., four test masses of the low-frequency interferometers at each vertex ofthe detector. Results are investigated in function of the polarization contentof the seismic field composed of body waves. The study also examines howperformance can be affected by displacing the sensor array from its optimalposition or by operating at frequencies other than those used for optimization.

Joint Optimization of seismometer arrays for the cancellation of Newtonian noise from seismic body waves in the Einstein Telescope