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首页> 外文期刊>Fortschritte der Physik >Noncommutativity of Lepton Mass Matrices: Flavor Mixing and CP Violation
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Noncommutativity of Lepton Mass Matrices: Flavor Mixing and CP Violation

机译:轻子质量矩阵的非交换性:风味混合和CP违反

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摘要

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.
机译:我遵循从海森堡矩阵量子力学中学到的一课,研究轻子风味混合和CP违规的特性。我表明在真空中定义的轻子质量矩阵的交换子在四中微子混合方案中在地面物质影响下保持不变。获得了一组与模型无关的中微子质量求和规则,并且可以将它们推广为适用于任意数量的中微子族。还发现了用于轻度CP违规的定相不变度量的有用求和规则。最后,我提出了适用于未来长基线中微子振荡实验的T违规不对称性的通用公式。

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