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Here the new physics Wilson coefficients C new 7 , 8 are at scale M$_{W}$ . In SM4, 

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In the Fig. 2 we have shown the correlation between CP asymmetries in ( B → X$_{s}$γ ) and B$_{s}$ → J/ψφ ( S$_{ψφ}$ ). The current 2 σ experimental range for S$_{ψφ}$ is given by [ − 0 . 90 , − 0 . 17] [76]. The SM value for A$_{CP}$ ( B → X$_{s}$γ ) corresponds to S$_{ψφ}$ ≈ 0 or in other words φ t ′ s ≈ 0. It is easy to understand the nature of the plot i.e decrease of A$_{CP}$ ( B → X$_{s}$γ ) with increase of S$_{ψφ}$ . From the expression for A$_{CP}$ ( B → X$_{s}$γ ) (eq. (46)), it is clear that in SM the only contribution to A$_{CP}$ will come from the first part of the fourth term. In the presence of new phase and new coupling, the first two terms and the fourth term will contribute to A$_{CP}$ . Contribution from the first two term is always negative and increases (mod value) with the new physics coupling ( within the NP region we are interested) whereas the fourth term is always positive and it has very small increase with the new physics coupling or phase. 

