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

Abstract

The paper presents a measurement of the T-odd correlation in radiation decay \boldmath $K^{+}\to \ddot{I}{€}^0{e}^{+}\hat{I}{½}_e{\hat{I}}^3$ performed on the installation of the 101200 candidate events of the investigated decay were identified. Measured correlation $\hat{I}{¾}_{\ddot{I}€e{\hat{I}}^3}$ -is a mixed product of moments $e^{+}$, $\ddot{I}{€}^0$, ${\hat{I}}^3$ in the kaon rest system, normalized by $M_K^3$. To assess the asymmetry of the distribution by $\hat{I}{¾}_{\ddot{I}€e{\hat{I}}^3}$ the value used is $A_{\hat{I}}¾=\frac{N_{+}-N_{-}}{N_{+}+N_{-}}$, where $N_{+(-)}$ is the number of events with $\hat{I}¾$ greater than (less than) zero. For the $A_{\hat{I}}¾$ asymmetry, the value is obtained $A_{\hat{I}}¾=(+0.1\pm 3.9($stat.$)\pm 1.7($syst.$))\times 10^{-3}$ or $|A_{\hat{I}}¾|<5.4\times 10^{-3}(90\%CL)$