Problems with Higgsplosion

Understand

A recent calculation of the multi-Higgs boson production in scalar theories with spontaneous symmetry breaking has demonstrated the fast growth of the cross section with the Higgs multiplicity at sufficiently large energies, called "Higgsplosion".

• It was argued that "Higgsplosion" solves the Higgs hierarchy and fine-tuning problems.
• In our paper we argue that: a) the formula for "Higgsplosion" has a limited applicability and inconsistent with unitarity of the Standard Model; b) that the contribution from "Higgsplosion" to the imaginary part of the Higgs boson propagator cannot be re-summed in order to furnish a solution of the Higgs hierarchy and fine-tuning problems.