Size of penguin pollution of the CKM CP violating phase in (B)over-bars → ρKS

We use the perturbative QCD methods of Lepage and Brodsky to calculate the rate for (B) over bar (s) --> rhoK(S), with an eye toward the CP violating unitarity triangle angle gamma. We show that, although the penguins are large, there are regions of the allowed parameter space of the Cabibbo-Kobayashi-Maskawa (CKM) mixing matrix wherein gamma is measurable in the sense that penguins change of the value of sin(2 gamma) one would extract from the attendant time dependent asymmetry measurement by less than 29%, so that a 3 sigma measurement of sin(2 gamma) as being different from 0 is allowed by the corresponding theoretical uncertainty. This would establish CP violation in B-s decays. The rates which we find tend to favour the type of luminosities now envisioned for hadron-based B-factories.