Multiplicity Distributions in $b\rightarrow s\ gluon$ Decays

Abstract

The final states for the process $b \rightarrow s\ \gamma$ have been extensively discussed in the literature. Similarly-detailed analyses for the case $b \rightarrow s\ gluon$ have not been performed. Generally this process is searched for in 2-body decays such as ${\rm B}^0 \rightarrow {\rm K}^+ \pi^-$. We present simple arguments to suggest that most of the time the quark-level process will give rise to final states with rather high multiplicities. Comments are made about the applicability of these results to $b \rightarrow d\ gluon$ and hadronic $b\rightarrow u$ decays.