Rephasing Invariants of Quark and Lepton Mixing Matrices

Abstract

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.

Some references added, and typos corrected

References in corpus (9)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Leptogenesis for Pedestrians
• Neutrino Physics in the Seesaw Model
• Rephasing-invariant CP violating parameters with Majorana neutrinos
• Supersymmetric Jarlskog Invariants: the Neutrino Sector
• Leptogenesis, Yukawa Textures and Weak Basis Invariants
• Leptonic CP Violation and Neutrino Mass Models
• General Determination of Phases in Leptonic Mass Matrices

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