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We have performed a one-loop calculation of the width of the rare decay H ->Z Z \gamma in the standard model for Higgs boson masses 190 GeV \leq m_H \leq250 GeV. We find that the most dominant helicity combinations for the Z bosonsand the photon is when one of the Z bosons is longitudinally polarized and theother Z boson and the photon have the same helicity. A comparison of the decaywidth \Gamma(H->Z Z \gamma) to those of H->\gamma \gamma and H->\gamma Z showsthat the ratios of the decay widths are \Gamma(H->Z Z \gamma) /\Gamma(H->\gamma\gamma) ~ \Gamma(H->Z Z \gamma) / \Gamma(H->\gamma Z) ~10^{-7}.Comment: 4 pages, 5 figures, RevTeX, figures correcte

Higgs boson decay into Z bosons and a photon