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Noncommutativity of Lepton Mass Matrices: Flavor Mixing and CP Violation

Zhi-zhong Xing
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Abstract

I follow a lesson learnt from Heisenberg's matrix Quantum Mechanics to study the property of lepton flavor mixing and CP violation. I show that the commutator of lepton mass matrices defined in vacuum keeps invariant under terrestrial matter effects within the four-neutrino mixing scheme. A set of model-independent sum rules for neutrino masses are obtained, and they can be generalized to hold for an arbitrary number of neutrino families. Useful sum rules for the rephasing-invariant measures of leptonic CP violation have also been found. Finally I present a generic formula of T-violating asymmetries applicable to the future long-baseline neutrino oscillation experiments.

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Zhi-zhong Xing. 2001-11-13. Noncommutativity of Lepton Mass Matrices: Flavor Mixing and CP Violation. https://doi.org/10.1002/1521-3978(200205)50%3A5%2F7%3C569%3A%3Aaid-prop569%3E3.0.co%3B2-s

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