Upper panel: SOPHIE RVs minus the RV offset γ (zoom-in of the period 2021–2023) together with the quasi-periodic GP model (blue lines) obtained using SPIRou’s B_γ GP posterior distributions of the period, decay time, and smoothing length as priors for the SOPHIE RVs GP. Middle panel: SOPHIEs RVs after correction of the RV offset and the GP. The rms of the RV time series decreases from 12.7 m s^–1 to 6.0 m s^–1 in the GP-corrected data. Lower panel: periodogram of the GP-corrected SOPHIE RVs. The peaks related to P_rot/2 disappeared after GP correction. A peak at the period of 6.02 days (FAP_bootstrap = 2.4 × 10^–3), the same period found in the SPIRou RVs, is retrieved. Horizontal lines are the 10%, 1%, and 0.1% FAP levels (calculated using a bootstrap algorithm).