##### Neutral Higgs decays $H \rightarrow Z γ,γγ$ in 3-3-1 models
The significance of new physics appearing in the loop-induced decays of neutral Higgs bosons into pairs of di-bosons $\gamma\gamma$ and $Z\gamma$ will be discussed in the framework of the 3-3-1 models based on a recent work [arXiv:1604.01948] where the Higgs sector were considered as an extension of that from the well-known Two Higgs Doublet models (2HDM). For large $SU(3)_L$ scale $v_3\simeq10$ TeV, dominant one-loop contributions to the amplitudes of the two decays arise from only the single charged Higgs boson predicted by the 2HDM, leading to that experimental constraint on the signal strength $\mu^{331}_{\gamma\gamma}$ of the Standard model like Higgs boson decay $h\rightarrow \gamma\gamma$ will result in a strict upper bound on the signal strength $\mu^{331}_{Z\gamma}$ of the decay $h\rightarrow\, Z\gamma$. For a particular model with lower $v_3$ around 3 TeV, contributions from heavy charged gauge and Higgs bosons may have the same order. Therefore, their destructive or constructive correlations may affect significantly on the two signal strengths. In particularly, a deviation from the SM prediction $|\mu^{331}_{\gamma\gamma}-1| \le 0.04$ still allows $|\mu^{331}_{Z\gamma}-1|$ to reach values near 0.1. We also show that there exists an CP-even neutral Higgs boson $h^0_3$ predicted by the 3-3-1 models, but beyond the 2HDM, has an interesting property that the branching ratio Br$(h^0_3\rightarrow \gamma\gamma)$ is very sensitive to the parameter $\beta$ used to distinguish different 3-3-1 models.
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