Positional offset (RA_HST–RA_ALMA, Dec_HST–Dec_ALMA) between HST and ALMA before (red crosses) and after (blue crosses) the correction of both a global systematic offset and a local offset. The black dashed circle corresponds to the cross-matching limit radius of 0″6. The gray dashed circles show a positional offset of 0″2 and 0″4 respectively. The magenta lines indicate the HST galaxies previously falsely associated with ALMA detections.