A stent graft for deployment into the aorta of a patient has a tubular body with a proximal portion of a selected diameter; preferably a reduced diameter portion, distal of the proximal portion, having a diameter less than the selected diameter; a tapered portion, extending between the proximal portion and the reduced diameter portion; and optionally a distal portion, distal of the reduced diameter portion. At least three, preferably four or five, low profile side arms are provided, preferably in the reduced diameter portion and/or the tapered portion, for connection of an arm extension to an aortic branch vessel. All but one of the side arms are to be connected at the physician's choice, depending on the anatomy of the patient. One side arm is to provide temporary profusion to external of the stent graft after deployment of the stent grant into the aorta, and is subsequently blocked.