Contribution of $b\to sgg$ through the QCD anomaly in exclusive decays $B\to ({\eta }^{\prime },\eta )(K,K^{\ast })$

Abstract

The charm content in ${\eta }^{\prime }$ is estimated using the QCD U(1) axial anomaly applied to $b\to sgg\to {\eta }^{\prime }s$. We find $f_{{\eta }^{\prime }}^{(c)}\approx -3.1$ MeV for $m_c=1.3$ GeV. Our estimate agrees with other independent methods by Feldmann and Kroll, and Araki, Musakhanov and Toki. The resulting branching ratios for $B\to {\eta }^{\prime }K$ in the generalized factorization model are marginally consistent with the CLEO data, although they are lower than the data by $\sim 2$.

Comments: 10 pages with 4 figures, need sprocl.sty file. To be published in the proceeding of the Fourth International Workshop on Particle Physics Phenomenology at Kaohsiung, Taiwan, June 18-21, 1998