  We present a review of Higgs physics in the SM and beyond, including the
tests of the Higgs boson properties that have been performed at LHC and have
permitted to delineate its profile. After presenting the essential features of
the BEH mechanism, and its implementation in the SM, we discuss how the Higgs
mass limits developed over the years. These constraints in turn helped to
classify the Higgs phenomenology (decays and production mechanisms), which
provided the right direction to search for the Higgs particle, an enterprise
that culminated with its discovery at LHC. So far, the constraints on the
couplings of the Higgs particle, point towards a SM interpretation. However,
the SM has open ends that suggest the need to look for extensions of the model.
We discuss in general the connection of the Higgs sector with some new physics
(e.g. supersymmetry, flavor and Dark matter), with special focus on a more
flavored Higgs sector. Thus is realized in the most general 2HDM, and its
textured version, which we study in general, and for its various limits, which
contain distinctive flavor-violating signals that could be searched at current
and future colliders.
