They often award the physics prize for experimentally verifying a theoretical prediction. For example, they awarded the prize to Paul Dirac for predicting the existence of the positron, and to Carl Anderson for confirming it.
Unlikely. Attribution in this case is a very thorny issue. People have been discussing it for decades.
There may yet be an experimental prize, especially once the experimental work at LHC is complete. From a physics perspective, LHC has only just begun. For the Higgs alone, its spin has not yet been conclusively measured; it's an important parameter.
