First Search for the $K_L \to \pi^0 \gamma$ Decay
J. K. Ahn, B. Beckford, M. Campbell, S. H. Chen, J. M. Choi, J., Comfort, K. Dona, M. S. Farrington, N. Hara, H. Haraguchi, Y. B. Hsiung, M., Hutcheson, T. Inagaki, M. Isoe, I. Kamiji, E. J. Kim, J. L. Kim, H. M. Kim,, T. K. Komatsubara, K. Kotera, J. W. Lee, G. Y. Lim, C. Lin

TL;DR
This paper reports the first experimental search for the forbidden decay $K_L o au^0 o au^0 o au^0$, setting an upper limit on its branching fraction, and thus testing Lorentz invariance.
Contribution
It presents the first search for the Lorentz-invariance-violating decay $K_L o au^0$, establishing an experimental upper limit and demonstrating the sensitivity of the J-PARC KOTO experiment.
Findings
No candidate events observed in the signal region.
Upper limit on the branching fraction set at $1.7 imes 10^{-7}$.
Single event sensitivity of $(7.1 imes 10^{-8})$.
Abstract
We report the first search for the decay, which is forbidden by Lorentz invariance, using the data from 2016 to 2018 at the J-PARC KOTO experiment. With a single event sensitivity of , no candidate event was observed in the signal region. The upper limit on the branching fraction was set to be at the 90\% confidence level.
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