Search of the heavy neutral Higgs boson H of the U(1)B-L model at the future multi-TeV μ⁺μ⁻ collider

The possible detection of a heavy neutral Higgs boson H predicted by the U(1)B-L model at the future multi-TeV muon collider for the center-of-mass energies of √s = 3, 6, 10, 30, 50 TeV with integrated luminosities of Lcon = 1, 2, 3, 4, 10 ab⁻¹ and √s=30, 50 TeV, Lₒₚₜ=90, 250 ab⁻¹, are investigated. The following production and decay channels of the heavy Higgs boson through the Vector Boson Fusion (VBF) are considered: μ⁺μ⁻ → ν_μ ν_μ H → ν_μ ν_μ W^± W^∓ with the subsequent decay of the Higgs boson H to pairs of W^± W^∓ bosons. We show that promising signals with good statistical significances can be obtained in di-vector bosons channel, with ν_μ ν_μ νₗl^± νₗl^∓ final states.