16 -0.008 -0.006 -0.004 -0.002  0  0.002  0.004  0.006  0.008  0.01 -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1  0 A CP ( B -> X s  ) S FIG. 2: Correlation between CP asymmetry in B → X$_{s}$γ and S$_{ψφ}$ , the CP asymmetry in B$_{s}$ → J/ψφ ; where the red and blue regions correspond to m$_{t}$ ′ = 400 and 600 GeV whereas horizontal lines represent the SM limit for CP asymmetry and the vertical lines represent the 2 σ limit for CP asymmetry in B$_{s}$ → J/ψφ . Here the new physics Wilson coefficients C new 7 , 8 are at scale M$_{W}$ . In SM4, 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. C new 7 , 8 = V ∗ t ′ $_{s}$V$_{t}$ ′ b V ∗ $_{ts}$V$_{tb}$ C t ′ 7 , $_{8}$( M$_{W}$ ) . (48)