The standard model-like higgs boson decay \(h \to Z\gamma\) in the 3-3-1 simple model

The exact one-loop contributions to the decay amplitudes of the Standard model-like Higgs boson decays \(h \to Z\gamma, \gamma \gamma,\) as predicted by the simple 3-3-1 model, are presented in terms of using the Passarino-Veltman notations. In the unitary gauge, all triple couplings related to the decay amplitudes are determined and LoopTools package has been applied to the numerical investigation. The result shows that the 3-3-1 simple model predicts the largest value \(\Delta_{\mu_{Z\gamma}}=\mu_{Z\gamma}-1\le 15.5\%\) which defines the signal strength of the decay channel \(h \to Z\gamma.\) This result is still outside the range of the recent experimental constraint of \(\Delta_{\mu_{Z\gamma}}\ge 50\%,\) therefore explaining why this signal is still invisible at LHC.