  We examine some of the theoretical and phenomenological implications of the
Higgs boson discovery and discuss what these imply for future Higgs studies at
the LHC and future colliders. In particular, one of the outstanding unanswered
questions is whether additional scalars beyond the observed Higgs boson are
present in the spectrum of fundamental particles. Any theory of a non-minimal
Higgs sector must possess a scalar state whose properties are approximately
those of the Standard Model Higgs boson. This can be achieved in the so-called
alignment limit of the extended scalar sector. Examples of scalar sectors in
which an approximate alignment limit is achieved are surveyed.
