A Precision Measurement of the $K_{L}\to 3\pi^{0}$ Dalitz Branching Ratio

Over the course of recent runs, the KOTO Experiment has collected 1.8 million $K_{L}\to 3\pi^{0}$ decay events yielding an incredible amount of virtually background-free $\pi^{0}$decay data. This offers an opportunity to study $\pi^{0}$decay to make a precision measurement of the $\pi ^{0}\thinspace $Dalitz decay branching ratio. The E14 KOTO detector provides an excellent means of identifying $\pi^{0}\thinspace $Dalitz decay with a 2576 crystal CsI calorimeter covered by a plastic scintillator charged particle detector. To identify $\pi^{0}\thinspace $Dalitz decay I will study 6 cluster decay events with energy deposits on the charged particle detector and compare them with a dataset of simulated $K_{L}\to 3\pi^{0}$ events using Geant4 to perform a measurement of the branching ratio.