$V_{td}$ from Hadronic Two-Body $B$ Decays

Abstract

Certain hadronic two-body decays of $B$ mesons are dominated by penguin diagrams. The ratios of rates for several such decays, including $\Gamma (B^0\to {\overline{K}}^{\ast 0}{K}^0)/\Gamma (B^0\to \varphi K^0)$, $\Gamma (B^0\to {\overline{K}}^{\ast 0}{K}^{\ast 0})/\Gamma (B^0\to \varphi K^{\ast 0})$, $\Gamma (B^{+}\to {\overline{K}}^{\ast 0}{K}^{+})$ $/\Gamma (B^{+}\to \varphi K^{+})$, and $\Gamma (B^{+}\to {\overline{K}}^{\ast 0}{K}^{\ast +})/\Gamma (B^{+}\to \varphi K^{\ast +})$, 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.

Comments: 11 pages, latex, no figures