Study of $$\boldsymbol{K}^{\boldsymbol{+}}{\rightarrow}{\pi}^{\mathbf{0}}\boldsymbol{e}^{\boldsymbol{+}}{\nu}{\gamma}$$ Decay with OKA Setup

Results of study of the $$K^{+}\rightarrow\pi^{0}e^{+}\nu\gamma$$ decay at OKA setup are presented. More than 150K candidates for this decay have been selected. The branching ratios, normalized to that of $$K_{e3}$$ decay are calculated for different cuts on $$E^{*}_{\gamma}$$ and $$\Theta^{*}_{e\gamma}$$ . In particular, the branching ratio for $$E^{*}_{\gamma}>30$$ MeV and $$\Theta^{*}_{e\gamma}>20^{\circ}$$ is measured $$\textrm{R}=\frac{Br(K^{+}\rightarrow\pi^{0}e^{+}\nu_{e}\gamma)}{Br(K^{+}\rightarrow\pi^{0}e^{+}\nu_{e})}=(0.610\pm 0.007(\textrm{stat.})\pm 0.011(\textrm{syst.}))\times 10^{-2}$$ , which is in a good agreement with ChPT $$O(p^{6})$$ calculations.