Problems with Higgsplosion

Belyaev, Alexander (University of Southampton, School of Physics and Astronomy, Southampton SO17 1BJ, United Kingdom) (Particle Physics Department, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, United Kingdom) ; Bezrukov, Fedor (The University of Manchester, School of Physics and Astronomy, Oxford Road, Manchester M13 9PL, United Kingdom) ; Shepherd, Chris (The University of Manchester, School of Physics and Astronomy, Oxford Road, Manchester M13 9PL, United Kingdom) ; Ross, Douglas (University of Southampton, School of Physics and Astronomy, Southampton SO17 1BJ, United Kingdom)

06 December 2018

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.


Published in: Physical Review D 98 (2018)
Published by: APS
DOI: 10.1103/PhysRevD.98.113001
arXiv: 1808.05641
License: CC-BY-4.0



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