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The observed flavor-changing neutral-current (FCNC) processes in the standardmodel (SM) arise from the loop diagrams involving the weak charged currentsmediated by the $W$-gauge boson. Nevertheless, the top-quark FCNCs andlepton-flavor violating processes resulting from the same mechanism are highlysuppressed. We investigate possible new physics effects that can enhance thesuppressed FCNC processes, such as $t\to q(h,V)$ with $V=\gamma,Z,g$, $h\to\ell \ell'$, and $\ell\to \ell' \gamma$. To achieve the assumption that theinduced-FCNCs are all from quantum loops, we consider the scotogenic mechanism,where a $Z_2$ symmetry is introduced and only new particles carry an odd $Z_2$parity. With the extension of the SM to include an inert Higgs doublet, aninert charged Higgs singlet, a vector-like singlet quark, and two neutralleptons, it is found that, with relevant constraints taken into account, the$t\to c (h, Z)$, $h\to \mu\tau$, and $\tau\to \ell \gamma$ decays can beenhanced up to the expected sensitivities in experiments. The branching ratiosof $h\to \mu^+ \mu^-/\tau^+ \tau^-$ from only new physics effects can reach upto ${\cal O}(10^{-3})$. Intriguingly, the resulting muon $g-2$ can fit thecombined data within $2\sigma$ errors, whereas the electron $g-2$ can haveeither sign with a magnitude of ${\cal O}(10^{-13}-10^{-12})$. In addition, weexamine the oblique parameters in the model and find that the resulting$W$-mass anomaly observed by CDF II can be accommodated.

Top-quark FCNC decays, LFVs, lepton $g-2$, and $W$ mass anomaly with inert charged Higgses