$b\to s\gamma$ Decay and Right-handed Top-bottom Charged Current

We introduce an anomalous top quark coupling (right-handed current) into Standard Model Lagrangian. Based on this, a more complete calculation of $b \to s\gamma $decayincludingleadinglogQCDcorrectionsfrom$m_{top}$to$M_W$inadditiontocorrectionsfrom$M_{W}$to$m_b$ is given. The inclusive decay rate is found to be suppressed comparing with the case without QCD running from $m_t$ to $M_W$ except at the time of small values of $\mathrm{\mid }{f}_R^{tb}\mathrm{\mid }$. e.g. when $f_R^{tb}=-0.08$, it is only $1\mathrm{/}10$ of the value given before. As $\mathrm{\mid }{f}_R^{tb}\mathrm{\mid }$ goes smaller, this contribution is an enhancement like standard model case. From the newly experiment of CLEO Collaboration, strict restrictions to parameters of this top-bottom quark coupling are found.