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.
Highlights
One of the flaring questions for the modern elementary particle physics is the question about the energy scale of new physics
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 finetuning 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
Summary
Alexander Belyaev,1,2,* Fedor Bezrukov,3,† Chris Shepherd,3,‡ and Douglas Ross1,§. 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 finetuning problems. The first observations of subtleties in the scalar multiparticle production demonstrated that at the tree level, owing to the large number of contributing diagrams, the n-particle amplitudes have factorial dependence on the number of particles [1,2,3,4,5]. This factorial growth of the amplitude indicates the breakdown of the usual perturbative calculations for n ≳ λ−1. There is a conjecture [7], that to exponential precision the result does not depend on the details of the initial state, given that the initial number of particles is
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