Mixing and CP violation: from$B^0 - \overline {B^0 } to T^0 - \overline {T^0 }$

Abstract

We extend from$B^0 - \overline {B^0 } to T^0 - \overline {T^0 }$ the study of neutral pseudoscalar mesons with respect to mixing and CP violation. The possibility of a quite large top quark mass necessitates a more careful computation of the box diagram amplitude. Our result is that, while in$B^0 - \overline {B^0 }$ systems CP violation is expected to be very small (∼10⁻⁶) and mixing quite large (10–20% or more), precisely the opposite occurs for$T^0 - \overline {T^0 }$. In particular, CP violation in the$T_u^0 - \overline {T_u^0 }$ system could be of the same order of magnitude as in the$K^0 - \overline {K^0 }$ system (∼10⁻³) while the mixing is totally negligible.