  We compute the scale-dependence of the Planck mass and of the vacuum
expectation value of the Higgs field using two very different renormalization
group methods: a "holographic" procedure based on Einstein's equations in five
dimensions with matter confined to a 3-brane, and a "functional" procedure in
four dimensions based on a Wilsonian momentum cutoff. Both calculations lead to
very similar results, suggesting that the coupled theory approaches a
non-trivial fixed point in the ultraviolet.
