  We introduce and discuss two inter-related mechanisms operative in the
electroweak sector of the Standard Model at high energies. Higgsplosion, the
first mechanism, occurs at some critical energy in the 25 to 10^3 TeV range,
and leads to an exponentially growing decay rate of highly energetic particles
into multiple Higgs bosons. We argue that this a well-controlled
non-perturbative phenomenon in the Higgs-sector which involves the final state
Higgs multiplicities n in the regime n \lambda >> 1 where \lambda is the Higgs
self-coupling. If this mechanism is realised in nature, the cross-sections for
producing ultra-high multiplicities of Higgs bosons are likely to become
observable and even dominant in this energy range. At the same time, however,
the apparent exponential growth of these cross-sections at even higher energies
will be tamed and automatically cut-off by a related Higgspersion mechanism. As
a result, and in contrast to previous studies, multi-Higgs production does not
violate perturbative unitarity. Building on this approach, we then argue that
the effects of Higgsplosion alter quantum corrections from very heavy states to
the Higgs boson mass. Above a certain energy, which is much smaller than their
masses, these states would rapidly decay into multiple Higgs bosons. The heavy
states become unrealised as they decay much faster than they are formed. The
loop integrals contributing to the Higgs mass will be cut off not by the masses
of the heavy states, but by the characteristic loop momenta where their decay
widths become comparable to their masses. Hence, the cut-off scale would be
many orders of magnitude lower than the heavy mass scales themselves, thus
suppressing their quantum corrections to the Higgs boson mass.
