Noncommutativity of Lepton Mass Matrices: Flavor Mixing and CP Violation
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.
Keywords
Cite
@article{arxiv.hep-ph/0111156,
title = {Noncommutativity of Lepton Mass Matrices: Flavor Mixing and CP Violation},
author = {Zhi-zhong Xing},
journal= {arXiv preprint arXiv:hep-ph/0111156},
year = {2015}
}
Comments
LaTex 6 pages (buckow.sty). Talk given at the International Symposium "100 Years Werner Heisenberg - Works and Impact", September 2001, Bamberg, Germany (to appear in the proceedings)