I'm not sure this is the right place to post this, but they're called "PFI contracts" and this is the contract section.
So, the question is: who is the contract between? Taking as an example, a school: is it between the company and the LEA?
If the company is in breach of their duties under the contract (though I understand it is generally anyone's guess what exactly they might be), then who is able to take action? In the example, would it be the headmaster or would it have to go higher up the chain?