Dragon Ball - Super GT: A Change of Heart
8 parts Complete The final battle for Earth has been sent into a tail spin by an unexpected twist of fate... In the form of a new space-fairing Saiyan named Kayl!
Kayl, after seeing the battle between Goku, Vegeta, and Omega Shenron jumps into the fight, going after the Shadow Dragon with as much force as he can muster against the wishes of Goku and Vegeta. Kayl ends up dying at the end of the fight, but goes out with a bang by transferring his Ki and Life Force into Omega Shenron in an attempt to overload him with power...
Although this fails to destroy Omega, it changes him. The Life Force infusion gives Omega Shenron a conscience, which plagues him with unimaginable guilt over what he has done to the Earth. Unable to cope with the immense crushing emotions, he flies off into outer-space before Goku or Vegeta can react in time to stop him!
Now Goku and Vegeta have to chase Omega Shenron across the vastness of space, but they are not the only ones in pursuit: The sudden power spike, and waves of disruptive Ki have caught the attention of another individual: The god of destruction himself, Beerus...