CP violating SUSY effects in Penguin dominated modes B -> PHI K and B -> PHI K*

Abstract

Recent measurement of time dependent asymmetries in $B\to \varphi K$ are indicative of a new source of CP violation. We examine squark mixing in SUSY as this new source, and using QCD improved factorization method to describe $B\to \varphi K$ decay, find the allowed range of parameter space for $\rho$ and $\psi$, the magnitude and phase of the down type LR(RL) squark mixing parameter ${\delta }_{LR(RL)}^{bs}$. We then study $B\to \varphi K^{\ast }$ and calculate the expected CP asymmetries in the same range of parameter space. We find that this asymmetry is in the range 15% to $20$ for acceptable value of $B\to phi{K}^{\ast }$ branching ratio. We also predict the helicity dependent CP asymmetries in the same parameter space.

21 pages, Latex, 2 postscript figures. Comments on B_s mixing is added. Typos are corrected in the text and figure label. Figure 1 is corrected. More references are added. Version to be published in Phys. Rev. D

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