  Discovering a Higgs boson at the LHC will address a major outstanding issue
in particle physics but will also raise many new questions. A concerted effort
to determine the couplings of this new state to other Standard Model fields
will be of critical importance. Precise knowledge of these couplings can serve
as a powerful probe of new physics, and will be needed in attempts to
accommodate such a new boson within specific models. In this paper, we present
a method for constraining these couplings in a model-independent way, focusing
primarily on an exclusive analysis of the gamma gamma final state. We
demonstrate the discriminating power of fully exclusive analyses, and discuss
ways in which information can be shared between experimentalists and theorists
in order to facilitate collaboration in the task of establishing the true
origins of any new physics discovered at the LHC.
