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.

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

References in corpus (6)

• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• $B\to {\eta }^{(\prime )}({\ell }^{-}{\bar{\nu }}_{\ell },{\ell }^{+}{\ell }^{-},K,K^{\ast })$ decays in the quark-flavor mixing scheme
• Anomalous enhancement of a penguin hadronic matrix element in B->K eta'

Cited by in corpus (4)

• 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
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays