Multiparticle Higgs and vector boson amplitudes at threshold

Khoze, Valentin V.

Abstract

In a spontaneously broken gauge theory we consider (sub)-processes in which one virtual intermediate state (it can be a Higgs or a gauge field) produces many on-shell Higgses and massive vector bosons. In the kinematic regime where all final states are produced on their mass threshold, we show how to compute iteratively all tree-level amplitudes A1→n+m involving an arbitrary number n of Higgs bosons and m of longitudinal vector bosons in the final state, and list the amplitudes coefficients for up to n=32 and m=32. Wefindthattheseamplitudesexhibitfactorialgrowthnotonlyinthenumberof scalar fields, but also in the number of longitudinal gauge fields, A1→n+m ~ n! m!. This growth is not expected to disappear at loop-level in the fixed-order perturbation theory. We conclude that at energies accessible at the next generation of hadron colliders, such as the 50-100 TeV FCC, where sˆ⎷ is sufficient to produce ≫1/α W of W, Z and H, perturbation theory breaks down when applied to the multiparticle electroweak production, at least near the kinematic multiparticle mass threshold where the electroweak gauge-Higgs sector becomes strongly coupled.

Citation

Khoze, V. V. (2014). Multiparticle Higgs and vector boson amplitudes at threshold. Journal of High Energy Physics, 2014(7), Article 8. https://doi.org/10.1007/jhep07%282014%29008

• Journal Article Type: Article
• Publication Date: Jul 1, 2014
• Deposit Date: May 20, 2014
• Publicly Available Date: Jul 23, 2014
• 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: 2014
• Issue: 7
• Article Number: 8
• DOI: https://doi.org/10.1007/jhep07%282014%29008
• Public URL: https://durham-repository.worktribe.com/output/1454685