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We study the decay modes $\bar{B}_s\to \phi \pi^0$ and $\bar{B}_s\to \phi\rho^0$ within the frameworks of two-Higgs doublet models type-II and typ-III.We adopt in our study Soft Collinear Effective Theory as a framework for thecalculation of the amplitudes. We derive the contributions of the charged Higgsmediation to the weak effective Hamiltonian governing the decay processes inboth models. Moreover we analyze the effect of the charged Higgs mediation onthe Wilson coefficients of the electrowek penguins and on the branching ratiosof $\bar{B}_s\to \phi \pi^0$ and $\bar{B}_s\to \phi \rho^0$ decays. We showthat wthin two-Higgs doublet models type-II and type-III the Wilsoncoefficients corresponding to the electroweak penguins can be enhanced due tothe contributions from the charged Higgs mediation leading into enhancement inthe branching ratios of $ \bar{B}_s\to \phi \pi^0$ and $\bar{B}_s\to \phi\rho^0 $ decays. We find that, within two-Higgs doublet models type-II, theenhancement in the branching ratio of $\bar{B}_s\to \phi \pi^0$ can not exceed$18\%$ with respect to the SM predictions. For the branching ratio of$\bar{B}_s\to \phi \rho^0$, we find that the charged Higgs contribution in thiscase is small where the branching ratio of $\bar{B}_s\to \phi \rho^0$ can beenhanced or reduced by about $4\% $ with respect to the SM predictions. For thecase of the two-Higgs doublet models type-III we show that the branching ratioof $\bar{B}_s\to \phi \pi^0$ can be enhanced by about a factor $2$ of its valuewithin two-Higgs doublet models type-II. However no sizable enhancement withrespect to the SM predictions can be obtained for both $\bar{B}_s\to \phi\pi^0$ and $\bar{B}_s\to \phi \rho^0$ decays.

Charged Higgs contribution to $\bar{B}_s \rightarrow \phi \pi^0 $ and $\bar{B}_s \rightarrow \phi \rho^0 $