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arxiv: 0706.4313 · v2 · submitted 2007-06-28 · ✦ hep-ph

Rephasing Invariants of Quark and Lepton Mixing Matrices

classification ✦ hep-ph
keywords invariantsmixingmatricesrephasingdiscussleptonmajoranamass
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Rephasing invariants of quark and lepton mixing matrices are obtained in the standard model extended by the seesaw mechanism, and in its low-energy effective theory with the dimension-five Majorana mass operator. We classify the basic invariants, discuss non-trivial relations between them, and determine the independent invariants which characterize all the information in the mixing matrices in a basis-independent way. We also discuss the restrictions on the allowed ranges for the mixing phases, and on the rephasing invariants, which follow from a discrete invariance of the Majorana mass matrix.

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  1. Rephasing invariant structure of CP phase for simplified mixing matrices in Fritzsch--Xing parametrization

    hep-ph 2026-02 unverdicted novelty 5.0

    Under the approximations U13^e = 0 and U23^e = 0, the Fritzsch-Xing CP phase equals the sum of the neutrino-intrinsic phase and the relative phase between the first two generations.