QCD Corrections to Charmless $b \to s$ Processes

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Minor Changes, 10 Pages, 4 figures (separate uuencoded ps files). To appear in Z. Phys. C

Scientific paper

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.

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