  We apply the method proposed by Fr\"ohlich, Morchio, and Strocchi to analyze
the bound state spectrum of various gauge theories with a Brout-Englert-Higgs
mechanism. These serve as building blocks for theories beyond the standard
model but also stress the exceptional role of the standard model weak group. We
will show how the Fr\"ohlich-Morchio-Strocchi mechanism relates gauge-invariant
bound state operators to invariant objects of the remaining unbroken gauge
group after gauge fixing. In particular, this provides a strict gauge-invariant
formulation of the latter in terms of the original gauge symmetry without using
the terminology of spontaneous gauge symmetry breaking. We also demonstrate
that the Fr\"ohlich-Morchio-Strocchi approach allows us to put new constraints
on theories beyond the standard model by pure field-theoretical considerations.
Particularly the conventional construction of grand unified theories has to be
rethought.
