The authors examine extraction of lepton mixing matrix elements from spectral data in neutrino oscillation experiments including matter effects and test unitarity via a vanishing quantity in a four-generation model.
Connecting Leptonic Unitarity Triangle to Neutrino Oscillation with CP Violation in Vacuum and in Matter
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abstract
Leptonic unitarity triangle (LUT) provides fundamental means to geometrically describe CP violation in neutrino oscillation. In this work, we use LUT to present a new geometrical interpretation of the vacuum oscillation probability, and derive a compact new oscillation formula in terms of only 3 independent parameters of the corresponding LUT. Then, we systematically study matter effects in the geometrical formulation of neutrino oscillation with CP violation. Including nontrivial matter effects, we derive a very compact new oscillation formula by using the LUT formulation. We further demonstrate that this geometrical formula holds well for applications to neutrino oscillations in matter, including the long baseline experiments T2K, MINOS, NOvA, and DUNE.
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Impact of matter effects on the unitarity test of lepton mixing
The authors examine extraction of lepton mixing matrix elements from spectral data in neutrino oscillation experiments including matter effects and test unitarity via a vanishing quantity in a four-generation model.