Jessica Simpson and her alleged former flame, Smashing Pumpkins founder Billy Corgan, are mixing business with pleasure by recording the theme song for the singer/actress’ new VH1 reality show, The Price of Beauty.

“Billy plays guitar, and Jessica’s written and performed the lyrics,” a network insider blabs in the Feb. 15 issue of Life & Style Weekly. “It’s cute that they came up with the idea together.”

The Price of Beauty — which will see Simpson and mane man Ken Paves traveling the world to examine how various cultures define beauty — premieres March 15 @ 10 PM on VH1.