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Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFT

Khoze, Valentin V.

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In a scalar theory which we use as a simplified model for the Higgs sector, we adopt the semiclassical formalism of Son for computations of n-particle production cross-sections in the high-multiplicity n → ∞ weak-coupling λ → 0 regime with the value of λn held fixed and large. The approach relies on the use of singular classical solutions to a certain boundary value problem. In the past this formalism has been successfully used and verified in computations of perturbative multi-particle processes at tree-level, and also at the next-to-leading order level in the small λn expansion near the multi-particle mass threshold. We apply this singular solutions formalism in the regime of ultra-high multiplicities where λn ≫ 1, and compute the leading positive ∼ n λn−−−√λn contribution to the exponent of the multi-particle rate in this large λn limit. The computation is carried out near the multi-particle mass threshold where the multiplicity n approaches its maximal value allowed by kinematics. This calculation relies on the idea of Gorsky and Voloshin to use a thin wall approximation for the singular solutions that resemble critical bubbles. This approximation is justified in precisely the high-multiplicity λn−−−√→ ∞λn→ ∞ regime of interest. Based on our results we show that the scalar theory with a spontaneous symmetry breaking used here as a simplified model for the Higgs sector, is very likely to realise the high-energy Higgsplosion phenomenon.

Journal Article Type Article
Acceptance Date Jun 24, 2017
Online Publication Date Jun 28, 2017
Publication Date Jun 28, 2017
Deposit Date Jul 11, 2017
Publicly Available Date Jul 13, 2017
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2017
Issue 06
Article Number 148
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Published Journal Article (451 Kb)

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Copyright Statement
© The Author(s) 2017 Open Access. This article is distributed under the terms of the Creative Commons
Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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