Importance of Dipole Penguin Operator in $B$ Decays

Abstract

The importance of dipole penguin operator, $O_{11} = (g_s/8\pi^2)m_b \bar s \sigma_{\mu\nu}RT^a b G^{\mu\nu}_a$, on B decays is demonstrated. It is shown that branching ratios for the inclusive decay $b\to s s\bar s$, the semi-inclusive decay $b\to s\phi$, and the exclusive decay $B\to \pi K$ are enhanced by 20% to 30%. A useful consequence of this calculation is the inclusive $b\to ss\bar s$ spectrum which will be essential in isolating pure penguin process.