We study in the context of the U (1) ₁-₋ model the production and decays of the heavy Higgs boson H via the association between the Z' boson and the new heavy Higgs boson H. We consider the ^+^- (Z, Z') ZH l^ l^ W^ W^ signal with the subsequent decay of Z to pairs of l^ l^ with l=e, and H to pairs of W^ W^. The projections of new physics at the muon collider with the benchmark center-of-mass energies of s=3, 4, 5, 6, 7 TeV and conservative integrated luminosities of L ₂₎₍=1, 2, 3, 4, 10 ab^{-1}, is of the order of 684 expected events. This scenario demonstrates the importance of measuring the heavy Higgs boson H at the future muon collider. In another scenario, in addition to the ^+^- (Z, Z') ZH l^ l^ W^ W^ signal, we consider Vector Boson Scattering (VBS) rates of ^+^- WWZ, and the Leptonic, Semi-leptonic, and Hadronic channels of the W^ boson for the signal. In this case, the number of events expected to be produced at the future muon collider is N=329\, 551, which is a promising scenario.
Gutiérrez-Rodríguez et al. (Mon,) studied this question.