  In this review, we discuss methods of parsing direct and indirect information
from collider experiments regarding the Higgs boson and describe simple ways in
which experimental likelihoods can be consistently reconstructed and interfaced
with model predictions in pertinent parameter spaces. Ultimately these methods
are used to constrain a five-dimensional parameter space describing a
model-independent framework for electroweak symmetry breaking. We review
prevalent scenarios for extending the electroweak symmetry breaking sector
relative to the Standard Model and emphasize their predictions for nonstandard
Higgs phenomenology that could be observed in LHC data if naturalness is
realized in particular ways. Specifically we identify how measurements of Higgs
couplings can be used to imply the existence of new physics at particular
scales within various contexts, highlighting some parameter spaces of interest
in order to give examples of how the data surrounding the new state can most
effectively be used to constrain specific models of weak scale physics.
