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 distortion offset. The black dashed circle corresponds to the cross-matching limit radius of 06. The gray dashed circles show positional offsets of 02 and 04, respectively. The mean offset and the standard deviation are shown by the magenta cross.