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