Data from the CPLEAR collaboration coupled with the assumption that the Bell-Steinberger relation holds have provided { \em direct} evidence for \ot~violation. In this note we investigate what we can say about \ot~violation { \em without} such an assumption. We show that both the modulus and the phase of $\eta_{ +-}$ can be reproduced with \ot~{ \em invariant} dynamics through finetuning \cpt~breaking. The large \ot~odd correlation observed by the KTeV collaboration in $K_L \to \pi ^+\pi ^- e^+ e^-$ thus does not yield direct evidence for \ot~violation. In such a world the phase of $\frac{ \epsilon'}{ \epsilon}$ is $\delta_2-\delta_0-\phi_{ SW}\sim -(85.5\pm 4)^\circ$. Also, $K^{ \pm} \to \pi ^{ \pm} \pi ^0$ could exhibit a \cpt~asymmetry of up to few$\times 10^{ -3}$ without upsetting any known bound.
Categories: hep-ph