Toy Monte Carlo Simulations Mirroring K-Long Decay, as Studied by the K0TO Experiment*

The K0TO experiment studies the rare, flavor-changing neutral current, second-order weak decay of the K-Long meson into a Pi-Zero meson, a neutrino, and the corresponding anti-neutrino. Through Toy Monte Carlo simulations enacted using Mathematica 8 software, the fundamental physical basis of this decay is explored. In addition, the secondary decay of the Pi-Zero meson into two photons is considered. Using information generated from the program's virtual particles, the transverse momentum and ``center of energy'' of the photons are calculated and graphed, revealing a linear relationship between the ``center of energy'' of the photons and the transverse momentum of the parent Pion.