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

The possible detection of a heavy neutral Higgs boson H predicted by the U (1) ₁-₋ 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 L ₂₎₍ = 1, 2, 3, 4, 10 ab^{-1} and s=30, 50 TeV, L ₎₏ₓ=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: ^+^- _ _ H _ _ 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 _ _ ₗl^ ₗl^ final states.