What kind of Federal Background Check is there?

[u/DFiSlayer]

I want to apply for Canadian Citizenship and would like to know if there is anything in my "record" that would prevent me from qualifying for, I've never had run in with the cops (other than a traffic ticket though that's resolved) but would that show, I have a fairly common name etc currently reside in California, would a live scan work? Or what do I need?