CP violating supersymmetry effects in the penguin dominated modes $\overrightarrow{B}\phi K$ and $\overrightarrow{B}\phi K^{*}$

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