Measurement of T-odd asymmetry in radiative K+ -> pi0 e+ nu gamma decay using OKA detector

The paper presents a measurement of the T-odd correlation in radiation decay \boldmath $K^{+}\to {\pi }^0{e}^{+}{\nu }_e\gamma$ performed on the installation of the 101200 candidate events of the investigated decay were identified. Measured correlation ${\xi }_{\pi e\gamma }$ -is a mixed product of moments $e^{+}$, ${\pi }^0$, $\gamma$ in the kaon rest system, normalized by $M_K^3$. To assess the asymmetry of the distribution by ${\xi }_{\pi e\gamma }$ the value used is $A_{\xi }=\frac{N_{+}-N_{-}}{N_{+}+N_{-}}$, where $N_{+(-)}$ is the number of events with $\xi$ greater than (less than) zero. For the $A_{\xi }$ asymmetry, the value is obtained $A_{\xi }=(+0.1\pm 3.9($stat.$)\pm 1.7($syst.$))\times {10}^{-3}$ or $\mathrm{\mid }{A}_{\xi }\mathrm{\mid }<5.4\times {10}^{-3}(90\mathrm{\%}CL)$