Searching for T,CP,CPT,and ΔS = ΔQ rule violations in the neutral K meson system - a guide

It is known that the existing experimental limit for$ CPT $ violation is rather poor; the 10 \% level at best. The $ \DSDQ $ rule is tested only up to 2 \%. In this note, we discuss the possibility of measuring $ T, CP, CPT $ and $ \DSDQ $ rule violations in the neutral $ K $ meson system. It is shown that not all the symmetry breaking parameters can be determined at a symmetric $ \phi $ factory. Experiments with $ K^0 $ and $ \bar{K}^0 $ beams are needed to test all the symmetries.