Decays $h\to e_ae_b$, $e_b\to e_a\gamma$, and $(g-2)_{e,\mu}$ in a 3-3-1 model with inverse seesaw neutrinos

We will show that the 3-3-1 model with new heavy right handed neutrinos as $SU(3)_L$ singlets can explain simultaneously the lepton flavor violating decays of the SM-like Higgs boson, charged lepton flavor violating decays $e_b\rightarrow e_a\gamma$, and the electron $(g-2)_e$ anomalies under recent experimental data. The discrepancy of $(g-2)_{\mu}$ predicted by the model under consideration and that of the standard model can reach $10^{-9}$. The decay rates of the standard model-like Higgs boson $h\to \tau e, \tau\mu$ can reach the values of $\mathcal{O}(10^{-4})$.