Two-Loop Contributions to the Anomalous Chromomagnetic Dipole Moment of the Top Quark in Two-Higgs-Doublet Models

We present the analytical results for the anomalous chromomagnetic moment of a quark at the one-loop and two-loop levels through model-independent parameterizations, considering the external gluon to be off-shell. Then, we consider different types of two-Higgs doublet models with the momentum transfer of the external gluon, $q^2=\pm M_Z^2$, and $0$, for the numerical evaluations thereof for the top quark. We find that the contributions in the two-Higgs-doublet models are on the order of $\mathcal{O}({10}^{-3})$ at the one-loop level and $\mathcal{O}({10}^{-4})$ at the two-loop level, where the one-loop and two-loop contributions interfere destructively, resulting in the overall contributions being on the order of $\mathcal{O}({10}^{-3})$ with a positive sign.