Neutral Higgs boson contributions to CP asymmetry of $B\to \mathrm{\Phi }{K}_S$ in MSSM

We have studied the neutral Higgs boson (NHB) contributions to the pure penguin process $B\to \varphi K_S$ in MSSM with middle and large $\tan \beta$ (say, $>$ 8). We show that the ${\alpha }_s$ order hadronic matrix elements of NHB induced operators can make sizable effects on both the branch ratio and time dependent CP asymmetry $S_{\varphi K}$. Under the all relevant experimental constraints, the Higgs mediated contributions to $S_{\varphi K}$ alone can provide a significant deviation from SM and, in particular, lead to a negative $S_{\phi K}$ which is reported by BaBar and Belle.