New Results on the search for rare decays {\mbox{$K^+ \! \rightarrow \! \pi^+ \gamma$}} and {\mbox{$K^+ \! \rightarrow \! \pi^+ \gamma \gamma$}} from BNL E949

Experiment E949 is designed to search for the rare kaon decay {\mbox{$K^+ \! \rightarrow \! \pi^+ \nu \overline{\nu}$}}; however, many other $K^+$ decay modes can be studied with this detector. Results from two of these modes, {\mbox{$K^+ \! \rightarrow \! \pi^+ \gamma$}} and {\mbox{$K^+ \! \rightarrow \! \pi^+ \gamma \gamma$}} will be presented. The former decay mode violates angular momentum conservation. An improved upper limit on the branching ratio will be shown. The latter decay mode is of interest as a test of Chiral Perturbation Theory, and in particular of unitarity corrections.