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Unity of CP and T Violation in Neutrino Oscillations

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arxiv hep-ph/0404142 v2 pith:53WBC64V submitted 2004-04-16 hep-ph

classification hep-ph
keywords neutrinorelationsviolationcp-cpdeltagraphicaloscillationoscillations
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On T-Invariance Violation in Neutrino Oscillations and Matter Effects

    hep-ph 2024-12 accept novelty 4.0 of 10

    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.

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