  We construct the zero temperature (no compact dimensions) effective action
for an SU(2) Yang-Mills theory in five dimensions, with boundary conditions
that reduce the symmetry on the four-dimensional boundary located at the origin
to a U(1)-complex scalar system. In order to be sensitive to the Higgs phase,
we need to include higher dimensional operators in the effective action, which
can be naturally achieved by generating it by expanding the corresponding
lattice construction in small lattice spacing, taking the naive continuum limit
and then renormalizing. In addition, we build in the effective action
non-perturbative information, related to a first order quantum phase transition
known to exist. As a result, the effective action acquires a finite cut-off
that is low and the fine tuning of the scalar mass is rather mild.
