Sum Rules of Neutrino Masses and CP Violation in the Four-Neutrino Mixing Scheme

Details Sum Rules of Neutrino Masses and CP Violation in the Four-Neutrino Mixing Scheme Sum Rules of Neutrino Masses and CP Violation in the Four-Neutrino Mixing Scheme

2001-02-02

arxiv.org/abs/hep-ph/0102021v2

Phys.Rev. D64 (2001) 033005

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex 8 pages. 3 references added. Phys. Rev. D (in printing)

Scientific paper

10.1103/PhysRevD.64.033005

We show that the commutator of lepton mass matrices is invariant under terrestial matter effects in the four-neutrino mixing scheme. A set of model-independent sum rules for neutrino masses, which may be generalized to hold for an arbitrary number of neutrino families, are for the first time uncovered. Useful sum rules for the rephasing-invariant measures of leptonic CP violation have also been found. Finally we present a generic formula of T-violating asymmetries and expect it to be applicable to the future long-baseline neutrino oscillation experiments.

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