Defective Newborn

A baby goes into cardiac arrest immediately after birth and must be revived. The baby is now breathing with the aid of a ventilator. However, the time spent without breathing has probably left her with severe brain damage. Moreover, blood tests indicate the presence of a rare genetic defect for which there is no chance of survival past ten years old. Her parents are of the religious belief that as soon as someone stops breathing, their soul leaves their body. So for them she is already dead, and they tell the doctors to remove the vent. What should the doctors do?