V-td from hadronic two-body B decays

Certain hadronic two-body decays of B mesons are dominated by penguin diagrams. The ratios of rates for several such decays, including Gamma(B-0 --> (K) over bar*K-0(0))/Gamma(B-0 --> phi K-0), Gamma(B-0 --> (K) over bar*K-0*(0))/Gamma(B-0 --> phi K*(0)), Gamma(B+ --> (K) over bar*0K(+))/Gamma(B+ --> -,K -tK phi K+), and Gamma(B+ --> (K) over bar*0K0(+))/Gamma(B+ --> phi K*(+)), can provide information on the ratio of Cabibbo-Kobayashi-Maskawa (CKM) elements \V-td/V-ts\ in a manner complementary to other proposed determinations,V- SU(3 breaking effects cancel in some ratios. The cases of neutral B decays are free of corrections from small annihilation terms.