$$(g-2)_{e,\mu }$$ anomalies and decays $$h\rightarrow e_a e_b$$, $$Z\rightarrow e_ae_b$$, and $$e_b\rightarrow e_a \gamma $$ in a two Higgs doublet model with inverse seesaw neutrinos

Abstract The lepton flavor violating decays $$h\rightarrow e_b^\pm e_a^\mp $$ h → e b ± e a ∓ , $$Z\rightarrow e_b^\pm e_a^\mp $$ Z → e b ± e a ∓ , and $$e_b\rightarrow e_a \gamma $$ e b → e a γ will be discussed in the framework of the Two Higgs doublet model with presence of new inverse seesaw neutrinos and a singly charged Higgs boson that accommodate both $$1\sigma $$ 1 σ experimental data of $$(g-2)$$ ( g - 2 ) anomalies of the muon and electron. Numerical results indicate that there exist regions of the parameter space supporting all experimental data of $$(g-2)_{e,\mu }$$ ( g - 2 ) e , μ as well as the promising LFV signals corresponding to the future experimental sensitivities.