LAHSO in the US
Dear OZ in Europe,
LAHSO is a voluntary program by which airlines can choose to subscribe to. If they are approved by the FAA (CAA in Europe), they are given specific airports where they are approved to conduct LAHSO. Usually these are busy airports that have concurrent operations on intersecting runways, such as LGA, BOS, or MDW, to name a few.
When it comes down to it, however, it is the PIC who ultimately decides if he or she wants to accept the LAHSO clearance at the time, given the weather conditions at the time of arrival. Exact approval or disapproval of an air carrier's LAHSO authority can be found in the airline's Operations Specifications. The Ops Specs is a document agreed upon by the airline and the FAA. For the pilots concerned, a violation of Ops Specs is also a violation of FARs. I hope this helps.
Fly Safe!
Heavy D