There could be various dependencies in the implementation logic tied to the site URL.
Segments and Classification may also rely or depend on URL.
Do not forget to review external and internal filters in the implementation and report suite configuration.
Review dependency on cookies if they are used.
It's hardly possible to give you a precise answer as this type of transition requires a thorough implementation audit to prepare a checklist of what has to be updated prior (and maybe after) the transition to a new domain.