The above comment says "see BS 5588" but as you know that has been superseded by BS 9999 which says,
A fire door having suffix S, should either have a leakage rate not exceeding 3 m3/h per metre, when tested in accordance with BS 476-31.1 with the threshold taped and subjected to a pressure of 25 Pa. When installed, the threshold gap should where practicable be sealed by a (flexible edge) seal either with a leakage rate not exceeding the above or just contacting the floor, giving an even contact with the floor but not interfering with the closing action of the door. Where this is impracticable, the threshold gap should not exceed 3 mm at any point.
When other methods of smoke control are provided in buildings, this might not be applicable, depending on the design of the system. Smoke leakage control can be applied to non-fire-resisting doorsets.