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

Abstract

We estimate the density matrix element for the pi0, eta and eta' production from the vacuum in the large-Nc 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 B0-> K0 pi0, B0-> K0 eta and B0-> K0 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.

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