Problems with Higgsplosion

TL;DR

The paper critically examines the Higgsplosion concept, arguing that its theoretical foundations are limited and it cannot resolve the Higgs hierarchy or fine-tuning issues within the Standard Model.

Contribution

It challenges the validity and applicability of the Higgsplosion formula, showing it conflicts with unitarity and cannot be used to address hierarchy and fine-tuning problems.

Findings

Higgsplosion formula has limited applicability.

Higgsplosion conflicts with Standard Model unitarity.

Cannot be used to solve hierarchy and fine-tuning issues.

Abstract

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.