Abstract
Abstract If the electroweak symmetry breaking is originated from a strongly coupled sector, as for instance in composite Higgs models, the Higgs boson couplings can deviate from their Standard Model values. In such cases, at sufficiently high energies there could occur an onset of multiple Higgs boson and longitudinally polarised electroweak gauge boson (V L ) production. We study the sensitivity to anomalous Higgs couplings in inelastic processes with 3 and 4 particles (either Higgs bosons or V L ’s) in the final state. We show that, due to the more severe cancellations in the corresponding amplitudes as compared to the usual 2 → 2 processes, large enhancements with respect to the Standard Model can arise even for small modifications of the Higgs couplings. In particular, we find that triple Higgs production provides the best multiparticle channel to look for these deviations. We briefly explore the consequences of multiparticle production at the LHC.
Highlights
This unitarity bound sets stringent constraints on the scattering amplitudes
We study the sensitivity to anomalous Higgs couplings in inelastic processes with 3 and 4 particles in the final state
We show in figure 1 the ratio of the cross section as a function of a (keeping the other parameters fixed in one case and, in the case of MCHM4, changing √them according to eq (3.3)) to the SM cross section at a fixed center-of-mass energy of s = 1 TeV
Summary
The perturbative unitarity bound in the inelastic 2 → n process assuming s-wave domi√. Since the relativistic n−body phase space is proportional to sn−2 the unitarity bound requires that the amplitude grows with energy no faster than. The growth of the cross section towards the unitarity bound in this model is faster for larger number of particles due to the kinematical factors in the phase space, assuming that enough energy is available. One should notice that we are not including in this rough estimate the growth due to the combinatorial factors and a proper phase space integration. These will be included below in a fully automated calculation
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