Noncommutativity of Lepton Mass Matrices: Flavor Mixing and CP Violation

Details Noncommutativity of Lepton Mass Matrices: Flavor Mixing and CP Violation Noncommutativity of Lepton Mass Matrices: Flavor Mixing and CP Violation

2001-11-13

arxiv.org/abs/hep-ph/0111156v1

Fortsch.Phys. 50 (2002) 569-574

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex 6 pages (buckow.sty). Talk given at the International Symposium "100 Years Werner Heisenberg - Works and Impact", Septem

Scientific paper

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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