Study of the $K^{+} \rightarrow \pi^{0} e^{+} \nu \gamma$ decay with NA62 experiment at CERN

I performed different measurements of $K^{+} \rightarrow \pi^{0} e^{+} \nu \gamma$ decay (Ke3$\gamma$) branching ratio normalized to $K^{+} \rightarrow \pi^{0} e^{+} \nu$ decay (Ke3) with the NA62 experiment at CERN. For $E^*_{\gamma}> 10 MeV$ and $\theta^*_{e,\gamma}> 10^\circ$, 12242 candidate events have been selected, with the estimated fraction of background at the level of $(3.5 \pm 1.4)\%$, and I obtained $\frac{BR(Ke3\gamma)}{BR(Ke3)} =(1.95 \pm 0.04)\%$. With the same selection the asymmetry $A_\xi = \frac{N_+ - N_-}{N_+ + N_-}$ of the T-odd observable $\xi = \frac{[\overrightarrow{p_{\gamma}} \cdot (\overrightarrow{p_e} \times \overrightarrow{p_\pi})]}{M_K^3}$ has been computed, and I measured $A_\xi = (0.016 \pm 0.017)$. The measurements are still dominated by statistical uncertainties, and they can be improved collecting and analysing more data.