Another potential ground for habeas corpus relief is newly discovered evidence, but only in one situation. If people can prove by clear and convincing evidence that if a constitutional error had not occurred, reasonable factfinders would not have found them guilty, then they could be entitled to habeas relief on this basis.
Typically, the court dismisses second or subsequent petitions unless a three-judge panel of the Circuit Court of Appeals approves the petition, but newly discovered evidence could justify another appeal.