Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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7 pages, 2 figures, discussion on B\to\eta^{(\prime)}K* added, more references added

Scientific paper

10.1103/PhysRevD.78.014020

We show that few-percent Okubo-Zweig-Iizuka-rule violating effects in the quark-flavor basis for the $\eta$-$\eta'$ mixing can enhance the chiral scale associated with the $\eta_q$ meson few times. This enhancement is sufficient for accommodating the dramatically different data of the $B\to\eta^{\prime} K$ and $B\to\eta K$ branching ratios. We comment on other proposals for resolving this problem, including flavor-singlet contributions, axial U(1) anomaly, and nonperturbative charming penguins. Discrimination of the above proposals by means of the $B\to\eta^{(\prime)}\ell\nu$ and $B_s\to\eta^{(\prime)}\ell\ell$ data is suggested.

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