Rephasing Invariants of Quark and Lepton Mixing Matrices

Details Rephasing Invariants of Quark and Lepton Mixing Matrices Rephasing Invariants of Quark and Lepton Mixing Matrices

2007-06-28

arxiv.org/abs/0706.4313v2

Nucl.Phys.B792:187-205,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Some references added, and typos corrected

Scientific paper

10.1016/j.nuclphysb.2007.09.031

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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