Further Analysis of Di-gluon Fusion Mechanism for the decays of $B\to K{\eta }^{\prime }$

Abstract

Di-gluon fusion mechanism might account for the large branching ratios of $B\to K{\eta }^{\prime }$. But because we know little about the effective ${\eta }^{\prime }gg$ vertex, there are large uncertainties in perturbative QCD estimations. In this paper, we try several kinds of ${\eta }^{\prime }gg$ form factors and compare the numerical results with the experiment. We find that, though we know little about ${\eta }^{\prime }gg$ form factor, if di-gluon fusion mechanism is important in $B\to K{\eta }^{\prime }$, the branching ratios of the decays $B\to K^{\ast }{\eta }^{\prime }$ would be around $10^{-5}$ which can be tested by future experiments.

Comments: 10 pages, revtex, 1 figure