The phrase was popularized by the character Sonny Corleone in The Godfather (1972) and later by The Sopranos , where it became the name of the central strip club.
If you aren't looking for the academic article, "Badabing Badaboom" is a widely used phrase across pop culture and music: Ian - Badabim Badabum
Full article: Badabim, Badabum, That's Reference! - Taylor & Francis The phrase was popularized by the character Sonny