Anomalous enhancement of a penguin hadronic matrix element in B->K eta'

Abstract

We estimate the density matrix element for the pi^0, eta and eta' production from the vacuum in the large-N_c limit. As a consequence, we find that the QCD axial anomaly leads to highly non-trivial corrections to the usual flavour SU(3) relations between B^0-> K^0 pi^0, B^0-> K^0 eta and B^0-> K^0 eta' decay amplitudes. These corrections may explain why the B-> K eta' branching ratio is about six times larger than the B-> K pi one.

arXiv comment5 pages, 1 figure

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• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios
• Isospin-breaking in ${\epsilon }^{\prime }/\epsilon$: Impact of ${\eta }_0$ at the Dawn of the 2020s
• Nonet symmetry in η, η^{\prime} and B\to Kη,Kη^{\prime} decays
• A theoretical determination of the eta-eta' mixing
• An analysis of B meson decays to two light pseudoscalar nonets with deltaS=1 in QCD factorization approach
• $B\to K\eta ,K{\eta }^{\prime }$ Decays