There absolutely IS a word for it in English...it's called an "earworm," which sounds like the same word in German.
I know that is how it translates into English, but I have never heard anyone use that term. I mean, have you ever heard anyone say, "Oh, God, I've got an earworm of that Foreigner song?" I haven't. I hear people say, "Oh, God, I have that song from Foreigner stuck in my head."
But then again, Lori, you're a flatlander...things are different outside of the northeast....maybe they do talk that way.... (Leslie ducks and runs from rotten tomatoes which she is sure are coming her way).
L