Peak velocity shift of the Lyα line extracted in the halo relative to the peak position of the Lyα line extracted in the core component plotted as a function of the FWHM of the line in the halo (left) and the asymmetry parameter of the line in the core (right). The larger symbols indicate the six S/N_HALO >  10 objects. Spearman rank correlation coefficients ρ_s and corresponding p₀ values are shown in each panel. This figure shows the relations between the best-fit line parameters resulting from our 3D fit procedure (see Sect. 4.1.3) for which a correlation is found. The other relations are shown in Fig. A.1.