  Understanding the Higgs potential at large field values corresponding to
scales in the range above $10^{10}{\rm GeV}$ is important for questions of
vacuum stability, particularly in the early universe where survival of the
Higgs vacuum can be an issue. In this paper we show that the Higgs potential
can be derived in away which is independent of the choice of conformal frame
for the spacetime metric. Questions about vacuum stability can therefore be
answered unambiguously. We show that frame independence leads to new relations
between the beta functions of the theory and we give improved limits on the
allowed values of the Higgs curvature coupling for stability.
