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The rare decay $K_L \!\to\! \pi^0 \nu \overline{\nu}$ was studied with thedataset taken at the J-PARC KOTO experiment in 2016, 2017, and 2018. With asingle event sensitivity of $( 7.20 \pm 0.05_{\rm stat} \pm 0.66_{\rm syst} )\times 10^{-10}$, three candidate events were observed in the signal region.After unveiling them, contaminations from $K^{\pm}$ and scattered $K_L$ decayswere studied, and the total number of background events was estimated to be$1.22 \pm 0.26$. We conclude that the number of observed events isstatistically consistent with the background expectation. For this dataset, weset an upper limit of $4.9 \times 10^{-9}$ on the branching fraction of $K_L\!\to\! \pi^0 \nu \overline{\nu}$ at the 90% confidence level.

Study of the $K_L \!\to\! \pi^0 \nu \overline{\nu}$ Decay at the J-PARC KOTO Experiment