background check
US /ˈbæk.ɡraʊnd ˌtʃek/
UK /ˈbæk.ɡraʊnd ˌtʃek/

1.
a check of a person's financial and criminal history, typically conducted by a prospective employer or landlord
:
•
All new employees must undergo a background check.
•
The landlord conducted a thorough background check on all applicants.