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Problems with Higgsplosion

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arxiv 1808.05641 v1 pith:YEXVXBNO submitted 2018-08-16 hep-ph hep-th

classification hep-phhep-th
keywords higgsplosionhiggsproblemsbosonfine-tuninghierarchyapplicabilityargue
verification ladder T0 review T1 audit T2 compute T3 formal

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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 2 Pith papers

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    A semiclassical expansion around a superfluid configuration computes Δ_{φ^n} at fixed λ*n, reproducing diagrammatic results at small λ*n and the large-charge CFT expansion at large λ*n.

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    Classicalizing k-essence scalars need m << Λ* and, when potentials or fermion couplings are present, a chameleon-like screening layer to keep Vainshtein screening and classicalon stability intact.

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