QCD Corrections to Charmless $b \to s$ Processes

QCD corrections to the penguin induced charmless inclusive $B$ decays are performed to an improved leading-log approximation. For process $b \to s q\overline{q}$ (q=uds) and $b \overline{q} \to s \overline{q}$, four previous missed 4-quark operators are included to make a complete leading log QCD corrected result. Furthermore, part of the next-leading log effect was also given for the above processes and process $b \to s g$. In comparison to previous QCD corrected calculations by Grigjanis et al., the inclusive decay rates for process $b \to s q\overline{q}$ (q=ud), $b\to s s\overline{s}$ and $b \overline{q} \to s \overline{q}$ are suppressed 10\%, 14\% and 18\% respectively. The branching ratio of process $b \to s g$ is enhanced by 2-3 orders, the result for this process is in agreement with the result of Ciuchini et al.