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A note on the rare decay of a Higgs boson into photons and a $Z$ boson

Ali Abbasabadi·Wayne W. Repko
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Abstract

We have calculated the width of the rare decay $H\toγγZ$ at one-loop level in the standard model for Higgs boson masses in the range $115 {\rm GeV} \leq m_H \leq 160 {\rm GeV}$ . For this range of Higgs boson masses we find that $Z$ boson is predominantly longitudinally polarized, and the photons have the same helicity. A comparison of the decay width $Γ(H\to γγZ)$ to those of $H\toγγ$ and $H\toγZ$ shows that, for the Higgs boson mass of $m_H \sim 135 \rm{GeV}$, the ratios of the decay widths are $Γ(H\toγγZ) / Γ(H\toγγ) \sim Γ(H\toγγZ) / Γ(H\toγZ) \sim 10^{-5}-10^{-6}$.

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Ali Abbasabadi, Wayne W. Repko. 2004-11-10. A note on the rare decay of a Higgs boson into photons and a $Z$ boson. https://doi.org/10.1103/physrevd.71.017304

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