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

Khoze, Valentin V.

Abstract

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.

Citation

Khoze, V. V. (2017). Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFT. Journal of High Energy Physics, 2017(06), Article 148. https://doi.org/10.1007/jhep06%282017%29148

• 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
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2017
• Issue: 06
• Article Number: 148
• DOI: https://doi.org/10.1007/jhep06%282017%29148
• Public URL: https://durham-repository.worktribe.com/output/1355320