QCD Corrections to $b \to s e^+e^-$ Decay

We give a more complete calculation of $b \to s e^+e^-$ decay including leading log QCD corrections from $m_{top}$ to $M_W$ in addition to corrections from $M_{W}$ to $m_b$. The differential decay rate is found to be slightly suppressed for a large invariant mass of the $e^+e^-$ pair; while the integrated width is slightly enhanced comparing with the results without the QCD running from $m_{top}$ to $M_W$.