Problems with Higgsplosion

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.

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Cited by in corpus (9)

• The Epsilon Expansion Meets Semiclassics
• Exploring High Multiplicity Amplitudes: The QM Analogue of the Spontaneously Broken Case
• The Breakdown of Resummed Perturbation Theory at High Energies
• Behavior of Cross Sections for Large Numbers of Particles
• Numerical study of multiparticle production in ${\varphi }^4$ theory: comparison with analytic results
• Multiparticle Amplitudes in a Scalar EFT
• Suppression exponent for multiparticle production in $\lambda {\varphi }^4$ theory
• Unitarity in Multi-Higgs Production
• Multi-Scalar Production At Large Center-Of-Mass Energy