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.
Exact Formula of Probability and CP Violation for Neutrino Oscillations in Matter
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abstract
Within the framework of the standard three neutrino scenario, we derive an exact and simple formula of the oscillation probability $P(\nu_e \to \nu_{\mu})$ in constant matter by using a new method. From this formula, it is found that the matter effects can be separated from the pure CP violation effects. Furthermore, the oscillation probability can be written in the form, $P(\nu_e \to \nu_{\mu})=A\cos \delta+B\sin\delta+C$, in the standard parametrization without any approximation. We also demonstrate that the approximate formula in high-energy can be easily reproduced from this as an example.
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hep-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Torsion-induced four-fermion interactions modify effective masses and mixing parameters for Majorana neutrinos with sterile partners in matter.
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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.
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Torsional four-fermion interaction for Majorana neutrinos
Torsion-induced four-fermion interactions modify effective masses and mixing parameters for Majorana neutrinos with sterile partners in matter.