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It is shown that in the sequential decay\(H \to ZZ \to (f_1 \bar f_1 ) + (f_2 \bar f_2 )\), the energy distribution of the final state particles provides a simple and powerful test of theHZZ vertex. For a standard Higgs boson, the energy spectrum of any final fermion, in the rest frame ofH, is predicted to be dΓ/dx∼1+β4−2(x−1)2, with\(\beta  = \sqrt {1 - 4m_Z^2 /m_H^2 } \) and 1−β≤x=4E/m H ≤1+β. By contrast, the spectrum for a pseudoscalar Higgs is  dΓ/dx∼β2+(x−1)2. There are characteristic energy correlations betweenf1 andf2 and betweenf1 andf2. These considerations are applied to the “gold-plated” reactionH→ZZ→μ+μ−μ+μ−, including possible effects ofCP-violation in theHZZ coupling. Our formalism also yields the energy spectra and correlations of leptons in the decay\(H \to W^ +  W^ -   \to l^ +  v_l l^ -  \bar v_l \).

Energy spectra and energy correlations in the decayH?ZZ??+???+??