Second order velocity structure function (VSF) computed from EW (left) and MW projected maps (right). They are displayed in red for the v_x projection, blue for the v_y projection, green for the v_z projection and pink for the v_cen projection. The dispersions are displayed in shaded areas in the same colours. They are presented in the [100,4000] kpc range, which is the range of validity of the study given the low number of pairs in bins with smaller and larger separations (see left panel of Fig. B.1). The range is separated into two fitting ranges: [100,600] kpc and [600,1000] kpc; the delimitation between the two intervals is highlighted by a dashed vertical dotted black line. The best-fit slope values in each interval are reported in Table 1.