Can CPT Symmetry Be Tested With K^0 vs \bar{K}^0--> π^+π^-π^0 Decays?

Abstract

We show that the CP-violating effect in K^0 vs \bar K^0-->π^+π^-π^0 decays differs from that in K_{\rm L}-->π^+π^-, K_{\rm L}-->π^0π^0 or the semileptonic K_{\rm L} transitions, if there exists CPT violation in K^0-\bar{K}^0 mixing. A delicate measurement of this difference in the KTeV experiment and at the ϕfactory will provide a new test of CPT symmetry in the neutral kaon system.