  The Higgs sector of the standard model is field-theoretically a very
interesting theory. Because strong and weak coupling domains are continuously
connected, only quantitative changes distinguish the various regions.
Especially, this is true for the asymptotic spectrum, which can only consist
out of gauge-invariant composite, i. e. bound, states. Since in some regions of
parameter space even Regge trajectories are expected to exist, there is
immediately the possibility that resonances may also be present in the
parameter region characteristic of the standard model Higgs sector. This
possibility is discussed in some detail, starting from the definition of the
theory to spectroscopy, including excited state analysis, to some
considerations whether this could have experimental consequences. The strongest
limitation for this exploration turns out to be that the gauge coupling without
fermions runs much faster, and the gauge sector is therefore potentially
affected.
