CP Violation in the Decay $b\rightarrow s\gamma$ in the Two-Higgs   Doublet Model
  In the most general two-Higgs doublet model with an approximate family symmetry and CP violation being originated solely from the relative phase of two vacuum expectation values, CP asymmetry in the decay $b\rightarrow s\gamma$ may arise from the CP violation of the charged Higgs boson interactions with fermions. This asymmetry may be larger than in the standard model and can lie between $10^{-2}$ and $10^{-1}$. The decay rate of $b\rightarrow s\gamma$ is allowed to be smaller or larger than in the standard model 
Lincoln Wolfenstein and Yue-Liang Wu