  Constraints placed on physics beyond the Standard Model from the recent CLEO
observation of the inclusive decay $B\to X_s\gamma$ are summarized. Further
searches for new physics using the process $B\to X_s\ell^+\ell^-$ are
discussed. {Presented at the {\it International Workshop on B Physics: Physics
Beyond the Standard Model at the B Factory}, Nagoya, Japan, October 26-28,
1994}
