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Multi-TeV muon colliders promise an unprecedented potential for exploring the particle-physics energy frontier, and, at the same time, can probe with fantastic accuracy the precise structure of the Standard Model, and in particular of the Higgs boson sector. Here we consider the possibility to measure the loop-suppressed single-, double-, triple-Higgs boson production mediated by the collinear-photon scattering in the channels $$\mu ^+\mu ^-\rightarrow \mu ^+\mu ^-\gamma ^*\gamma ^*\rightarrow \mu ^+\mu ^- \,[H,HH,HHH]$$ μ + μ - → μ + μ - γ ∗ γ ∗ → μ + μ - [ H , H H , H H H ] . We study total rates and kinematical distributions in the Standard Model, and compare them with the corresponding vector-boson-fusion processes $$V^*V^*\rightarrow H,HH,HHH$$ V ∗ V ∗ → H , H H , H H H at muon collisions center-of-mass energies 1.5 TeV"Equation missing" TeV. Possible strategies for enhancing the $$\gamma \gamma \rightarrow H,HH,HHH$$ γ γ → H , H H , H H H signal over the dominant vector-boson-fusion production are proposed. The sensitivity of total rates to possible anomalies in the Higgs-boson self-couplings is also discussed.
Multi-TeV muon colliders promise an unprecedented potential for exploring the particle-physics energy frontier, and, at the same time, can probe with fantastic accuracy the precise structure of the Standard Model, and in particular of the Higgs boson sector. Here we consider the possibility to measure the loop-suppressed single-, double-, triple-Higgs boson production mediated by the collinear-photon scattering in the channels $$\mu ^+\mu ^-\rightarrow \mu ^+\mu ^-\gamma ^*\gamma ^*\rightarrow \mu ^+\mu ^- \,[H,HH,HHH]$$ μ + μ - → μ + μ - γ ∗ γ ∗ → μ + μ - [ H , H H , H H H ] . We study total rates and kinematical distributions in the Standard Model, and compare them with the corresponding vector-boson-fusion processes $$V^*V^*\rightarrow H,HH,HHH$$ V ∗ V ∗ → H , H H , H H H at muon collisions center-of-mass energies 1.5 TeV"Equation missing" TeV. Possible strategies for enhancing the $$\gamma \gamma \rightarrow H,HH,HHH$$ γ γ → H , H H , H H H signal over the dominant vector-boson-fusion production are proposed. The sensitivity of total rates to possible anomalies in the Higgs-boson self-couplings is also discussed.
We study the discrimination power of future multi-TeV muon colliders for a large set of models with extended gauge symmetries and additional neutral gauge bosons (“$$Z'$$ Z ′ -models”). Our study is carried out using a $$\chi ^2$$ χ 2 -analysis of leptonic observables of s-channel scattering in effective $$Z'$$ Z ′ -models. We make use of angular and chiral asymmetries induced in such models to find the discovery reach of a given muon collider setup in terms of the $$Z'$$ Z ′ mass and to discriminate between the different scenarios. In this context, we discuss how polarized beams – should they become available at muon colliders – or polarization measurements can help in the discrimination. Our results show that typical muon collider setups which are currently under consideration can give a significantly higher reach compared to existing bounds and projections for high-luminosity LHC.
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