  We show that large n-particle production rates derived in the semiclassical
Higgsplosion limit of scalar field theoretical models with spontaneous symmetry
breaking, are consistent with general principles of localizable quantum field
theory. The strict localizability criterium of Jaffe defines quantum fields as
operator-valued distributions acting on test functions that are localized in
finite regions of space-time. The requirement of finite support of test
functions in space-time ensures the causality property of QFT. The
corresponding localizable fields need not be tempered distributions, and they
fit well into the framework of local quantum field theory.
