Multi-Higgs production in gluon fusion at 100 TeV

Abstract

We carry out a detailed study of multi-Higgs production processes in the gluon fusion channel in the high energy regime relevant to Future Circular hadron colliders and in the high-Higgs-multiplicity limit (> 20). Our results are based on the computation of the leading polygons - the triangles, boxes, pentagons and hexagons - to the scattering processes, further combined with the subsequent branchings to reach high final state multiplicities. The factorial growth of the number of diagrams leads to an exponential enhancement of such large multiplicity cross-sections and, ultimately, in breaking of perturbativity. We find that the characteristic energy and multiplicity scales where these perturbative rates become highly enhanced and grow with increasing energy are within the 100 TeV regime with of the order of 130 Higgses (or more) in the final state. We also show that already for a 50 TeV hadron collider the perturbative cross-sections for 140 bosons are at picobarn level.

20 pages, 6 figures; v2: new Appendix reviewing the generating functions method to compute tree-level amplitudes on multi-particle thresholds; minor corrections; matches the published version in PRD

References in corpus (6)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Parton distributions for the LHC
• Higgs boson pair production in gluon fusion at NLO with full top-quark mass dependence
• An upper limit on the scale of new physics phenomena from rising cross sections in high multiplicity Higgs and vector boson events
• Perturbative growth of high-multiplicity W, Z and Higgs production processes at high energies
• Multiparticle Higgs and Vector Boson Amplitudes at Threshold

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• Numerical study of multiparticle scattering in $\lambda {\varphi }^4$ theory
• Semiclassical computation of quantum effects in multiparticle production at large lambda n
• Multi-Scalar Production At Large Center-Of-Mass Energy