The requirement is only that you are able to stop within the available runway. It is an Ops Specs requirement, I don't think you'll find a regulation for it. Many airlines handle this by having a chart that shows the heaviest weight that will work for a particular runway, although that doesn't tell you a lot. If you are under the weight limit (applying the various corrections) you still don't know how much of that runway you'll need or how much brakes you might require (max brakes are acceptable...).
My company approaches it a bit differently with our performance laptop, the crew enters in the data for the runway (playing it as conservative as we want to as *we* control the inputs), and it outputs the landing runway required (including 1500' of air run distance) and compares that to the runway available.
This gives us a lot more info for planning purposes, for example, can we make taxiway xyz with min braking and flaps 35, etc.