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The $b \rightarrow s \gamma$, $b \rightarrow d \gamma$ and $b \rightarrow s\ell^+ \ell^-$ processes are allowed at higher order via the electroweak loopor box diagrams in the Standard model. It is sensitive probe to search for newphysics beyond the Standard model because new particles might enter in theloop.  We present preliminary results of branching fraction of the $\bar{B}\rightarrow X_s \gamma$, $CP$ asymmetry in the $\bar{B} \rightarrow X_{s+d}\gamma$, and the forward-backward asymmetry in the $\bar{B} \rightarrow X_s\ell^+ \ell^-$. The results are based on a data sample containing $772 \times10^6 B\bar{B}$ pairs recorded at the $\Upsilon(4S)$ resonance with the Belledetector at the KEKB $e^+ e^-$ collider.

Inclusive $B$ decays and exclusive radiative decays by Belle