LoS velocity (upper panel) and the Galactocentric position (lower panel) of the candidate member stars selected with our Bayesian method for the barless model (blue points) and for the slow bar model (green points). In both panels, the grey points highlight the track of the simulated stream for each model. The positions of the points have been shifted vertically of ±0.2 kpc w.r.t. to the current position of the Hyades cluster in the lower panel and of ±50 km s⁻¹ in the upper panel to separate both selections.