Anomalous C-violating three photon decay of the neutral pion in noncommutative quantum electrodynamics

We show that a simple and reasonable generalization of the anomalous intera ction between the neutral pion and two photons can induce the C-violating t hree photon decay of the neutral pion in noncommutative quantum electrodyna mics. We find that it is mandatory for consistency reasons to include simul taneously the normal neutral pion and photon interaction in which the neutr al pion transforms under U(I) in a similar way as in the adjoint representa tion of a non-Abelian gauge theory. We demonstrate that the decay has a cha racteristic distribution although its rate still seems too small to be expe rimentally reachable in the near future. We also describe how to manipulate phase space integration correctly when Lorentz invariance is lost. (C) 200 1 Published by Elsevier Science B.V.