If you let it sit on the black screen, it will eventually let you in. Or to be exact it will eventually display the intro movie and splash screen, you'll probably see servers at capacity there and after some time there you'll eventually get in. Not exactly sure what it's doing on that black screen, but I'm guessing it's trying to talk to some server that's massively overloaded. I spent most of the weekend playing with friends, so I had to suffer through the wait multiple times.