Electroweak Symmetry Breaking

A Heavy Higgs
The constraints from top and W loops can be avoided if the Higgs
mass itself is rather heavy. (The limit is below 1 TeV.)
In this case, only Higgs self-couplings count. With increasing
energy, the Higgs self-coupling becomes non-perturbative.
The result is a Landau pole in the Higgs self-coupling at about
Λ ∼ m H exp 8π2 v 2
6m 2 H
(Similarly, for a too light Higgs the top-loop drives the
self-coupling negative at high energies.)
Only for m H ∼ 130 GeV, these cutoffs can be pushed to infinity.