  We study multi-scalar models of radius stabilization, with an eye towards
application to novel extra-dimensional models of symmetry breaking. With
inspiration from holography, we construct a multi-scalar effective potential
that is a function of UV-brane values of the scalar fields, and that takes into
account bulk gravitational backreaction. We study extrema of this potential,
and additionally provide a "superpotential" method for generating static
solutions for the extra-dimensional geometry. We apply these methods to some
simple models of the Higgs mechanism where the Higgs itself plays a non-trivial
role in radius stabilization. We conclude that mass mixing of the Higgs and
radion is generic unless additional symmetries are imposed. We focus on models
with moderate gap between the electroweak and Kaluza-Klein scale, as required
by phenomenological constraints. We note that tuning of the Higgs mass relative
to the KK scale is related to various classes of tuning of 5D parameters, with
different resulting spectra and phenomenologies.
