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

Abstract

We show that few-percent Okubo-Zweig-Iizuka-rule violating effects in the quark-flavor basis for the $\eta$-${\eta }^{\prime }$ 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.

arXiv comment7 pages, 2 figures, discussion on B\toη^{(\prime)}K* added, more references added

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Cited by in corpus (9)

• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• ${\eta }_c$ mixing effects on charmonium and $B$ meson decays
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• Light quark pseudoscalar densities and anomaly matrix elements for η and η' mesons