Matter-induced T-invariance violation in neutrino oscillations requires an asymmetric matter potential along the neutrino path, and for Earth-bound experiments the effect is numerically tiny.
Unity of CP and T Violation in Neutrino Oscillations
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abstract
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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On T-Invariance Violation in Neutrino Oscillations and Matter Effects
Matter-induced T-invariance violation in neutrino oscillations requires an asymmetric matter potential along the neutrino path, and for Earth-bound experiments the effect is numerically tiny.