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We study the low energy phenomena induced by the lightest charged Higgs inthe private Higgs (PH) model, in which each quark flavor is associated with aHiggs doublet. We show that the couplings of the charged Higgs scalars tofermions are fixed and the unknown parameters are only the masses and mixingelements of the charged Higgs scalars. As the charged Higgs masses satisfy with$M_b<M_{c}\ll M_{s} \ll M_{d,u}$, processes involving $B$-meson are expected tobe the ideal places to test the PH model. In particular, we explore theconstraints on the model from experimental data in $B$ physics, such as thebranching ratio (BR) and CP asymmetry (CPA) of $B\to X_s \ga$, $B_{d,s}-\barB_{d,s}$ mixings and the BR for $B\to K^* \ell^{+} \ell^{-}$. We illustratethat the sign of the Wilson coefficient for $B\to X_s \ga$ can be differentfrom that in the standard model, while this flipped sign can be displayed bythe forward-backward asymmetry of $B\to V \ell^{+} \ell^{-}$ with $V$ a vectormeson. We also demonstrate that $B_{d,s}-\bar B_{d,s}$ mixings and theirtime-dependent CPAs are negligible small and the BR of $B\to K^* \ell^{+}\ell^{-}$ can have a more strict bound than that of $B\to X_s \ga$.

$B_{s,d}-\bar B_{s,d}$ mixings and $b\to q (\ga, \ell \bar \ell)$ decays in private Higgs model