  We consider a model with an extra compact dimension in which the Higgs is a
bulk field while all other Standard Model fields are confined on a brane. We
find that four-dimensional gauge invariance can still be achieved by
appropriate modification of the brane action. This changes accordingly the
Higgs propagator so that, the Higgs, in all its interactions with Standard
Model fields, behaves as an ordinary 4D field, although it has a bulk kinetic
term and bulk self-interactions. In addition, it cannot propagate from the
brane to the bulk and, thus, no charge can escape into the bulk but it remains
confined on the brane. Moreover, the photon remains massless, while the
dependence of the Higgs vacuum on the extra dimension induces a mixing between
the graviphoton and the Z-boson.
  This results in a modification of the sensitive \rho-parameter.
