Search for the rare decay $K^+\toμ^+ν\barνν$

Evidence of the $K^+\toμ^+ν\barνν$ decay was searched for using E949 experimental data with an exposure of $1.70\times 10^{12}$ stopped kaons. The data sample is dominated by the backgrond process $K^+\toμ^+ν_μγ$. An upper limit on the decay rate $Γ(K^+\toμ^+ν\barνν)< 2.4\times 10^{-6}Γ(K^+\to all)$ at 90% confidence level was set assuming the Standard Model muon spectrum. The data are presented in such a way as to allow calculation of rates for any assumed $μ^+$ spectrum.