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We study the charmless decays $B\to K_h\eta$ and $B\to K_h\eta'$ within theframework of QCD factorization (QCDF) for $K_h= K,K^*,K_0^*(1430)$ and naivefactorization for $K_h=K_2^*(1430)$. There are three distinct types of penguincontributions: (i) $b\to sq\bar q\to s\eta_{q}$, (ii) $b\to ss\bar s\tos\eta_s$, and (iii) $b\to s q\bar q\to q \bar K_h$, where $\eta_q=(u\baru+d\bar d)/\sqrt{2}$ and $\eta_s=s\bar s$. $B\to K^{(*)}\eta^{(')}$ decays aredominated by type-II and type-III penguin contributions. The interference,constructive for $K\eta'$ and $K^*\eta$ and destructive for $K\eta$ and$K^*\eta'$, between type-II and type-III diagrams explains the pattern of$\Gamma(B\to K\eta')\gg\Gamma(B\to K\eta)$ and $\Gamma(B\toK^*\eta')\ll\Gamma(B\to K^*\eta)$. Within QCDF, the observed large rate of the$K\eta'$ mode can be naturally explained without invoking flavor-singletcontributions or something exotic. The decay pattern for $B\toK_0^*(1430)\eta^{(')}$ decays depends on whether the scalar meson $K_0^*(1430)$is an excited state of $\kappa$ or a lowest-lying $P$-wave $q\bar q$ state.Hence, the experimental measurements of $B\to K_0^*(1430)\eta^{(')}$ can beused to explore the quark structure of $K_0^*(1430)$. If $K_0^*(1430)$ is alow-lying $q\bar q$ bound state, we find that $K_0^*\eta$ has a rate slightlylarger than $K_0^*\eta'$ owing to the fact that the $\eta$-$\eta'$ mixing anglein the $\eta_q,\eta_s$ flavor basis is less than $45^\circ$, in agreement withexperiment. Type-III penguin diagram does not contribute to $B\toK_2^*\eta^{(')}$ under the factorization hypothesis and type-II diagramdominates.

On Charmless $B\to K_h\eta^{(')}$ Decays with $K_h=K,K^*,K_0^*(1430),K_2^*(1430)$

On Charmless $B\to K_h\eta^{(')}$ Decays with $K_h=K,K^,K_0^(1430),K_2^*(1430)$