Publication details for Valentin [Valya] KhozeKhoze, Valentin V. (2014). Multiparticle Higgs and vector boson amplitudes at threshold. Journal of High Energy Physics 2014(7): 8.
- Publication type: Journal Article
- ISSN/ISBN: 1029-8479
- DOI: 10.1007/JHEP07(2014)008
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
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.