$B_s^0-{\overline{B}}_s^0$, $B_d^0-{\overline{B}}_d^0$, $D^0-{\overline{D}}^0$ and $K^0-{\overline{K}}^0$ mixings in two-Higgs-doublet models with minimal flavor violation

Many observables related to the neutral meson mixings have been measured, and these experimental measurements could be used to test various new physics models. The two-Higgs-doublet model is one of the simplest extensions of the standard model. In this paper, $B_s^0-{\overline{B}}_s^0$, $B_d^0-{\overline{B}}_d^0$, $D^0-{\overline{D}}^0$ and $K^0-{\overline{K}}^0$ mixings are explored in the minimal flavor violating two-Higgs-doublet models with type-C and type-III. Firstly, we perform a complete one-loop computation to the amplitudes of neutral meson mixings. Then the allowed parameter spaces of Yukawa couplings of charged scalars to quarks in both real and complex cases are obtained from all relevant latest experimental data. Finally, the theoretical predictions of relevant observables and the differences between type-III and type-C models are analyzed. (paper)