  The Higgs could couple to a topological 4-form sector which yields a complex
vacuum structure. In general such couplings could lead to direct CP violation
in the Higgs sector. In many of the Higgs vacua electroweak symmetry is
unbroken. In just as many it breaks when the 4-form flux is large enough. For a
fixed value of flux, the symmetry breaking vacua have a smaller vacuum energy
than the symmetric ones, where the difference is quantized because it is set by
the $4$-form flux. This leads to the possibility that there is a value of the
4-form flux for any UV contributions to the Higgs {\it vev} that automatically
cancels it down to the right value, $\sim$ TeV, if the 4-form charges are
quantized in the units of the electroweak scale. This would still leave the
cosmological constant which could be selected anthropically.
