Unity of CP and T violation in neutrino oscillations

In a previous work, a simultaneous P-CP[P] and P-T[P] bi-probability plot was proposed as a useful tool for a unified graphical description of CP and T violation in neutrino oscillations. The diamond-shaped structure of the plot is understood as a consequence of the approximate CP-CP and T-CP relations obeyed by the oscillation probabilities. In this paper, we take a step forward towards a deeper understanding of the unified graphical representation by showing that these two relations are identical in their content, suggesting a truly unifying view of CP and T violation in neutrino oscillations. We suspect that the unity reflects the underlying CPT theorem. We also present a calculation of corrections to the CP-CP and the T-CP relations to leading order in Δm221/Δm231 and s213