Unity of CP and T Violation in Neutrino Oscillations

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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20 references added, version to appear in "Focus Issue on Neutrino Physics" of New Journal of Physics

Scientific paper

10.1088/1367-2630/6/1/130

In a previous work a simultaneous P- CP[P] and P- T[P] bi-probability plot was proposed as a useful tool for unified graphical description of CP and T violation in neutrino oscillation. The ``baseball diamond'' structure of the plot is understood as a consequence of the approximate CP-CP and the T-CP relations obeyed by the oscillation probabilities. In this paper, we make a step forward toward deeper understanding of the unified graphical representation by showing that these two relations are identical in its 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 calculation of corrections to the CP-CP and the T-CP relations to leading order in Delta m^2_{21} / Delta m^2_{31} and s^2_{13}.

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