Does the Due Process Clause require resentencing when the principal evidence supporting a conviction is later recanted?

QUESTION PRESENTED May a State, consistent with the Due Process Clause of the Fourteenth Amendment, refuse to resentence petitioner, who was sentenced to life in prison for a murder based on the Shaken Baby Syndrome theory, when the official medical examiner, who signed the death certificate that was the principal evidence supporting her conviction, has signed a new certificate stating that the cause of death was an accident, not homicide? i