  Higgsplosion is the mechanism that leads to exponentially growing decay rates
of highly energetic particles into states with very high numbers of relatively
soft Higgs bosons. In this paper we study quantum effects in the presence of
Higgsplosion. First, we provide a non-perturbative definition of Higgsplosion
as a resolved short-distance singularity of quantum propagators at distances
shorter than the inverse Higgsplosion energy scale, $E_*$. We then consider
quantum effects arising from loops in perturbation theory with these
propagators on internal lines. When the loop momenta exceed the Higgsplosion
scale $E_*$, the theory dynamics deviates from what is expected in the standard
QFT settings without Higgsplosion. The UV divergences are automatically
regulated by the Higgsplosion scale, leading to the change of slopes for the
running couplings at the RG scales $\mu > E_*$. Thus, the theory becomes
asymptotically safe. Further, we find that the finite parts are also modified
and receive power-suppressed corrections in $1/E_*^2$. We use these results to
compute a set of precision observables for the Higgsploding Standard Model.
These and other precision observables could provide experimental evidence and
tests for the existence of Higgsplosion in particle physics.
