Parametrization of fermion mixing matrices in Kobayashi-Maskawa form

Abstract

Recent works show that the original Kobayashi-Maskawa (KM) form of fermion mixing matrix exhibits some advantages, especially when discussing problems such as unitarity boomerangs and maximal CP violation hypothesis. Therefore, the KM form of fermion mixing matrix is systematically studied in this paper. Starting with a general triminimal expansion of the KM matrix, we discuss the triminimal and Wolfenstein-like parametrizations with different basis matrices in detail. The quark-lepton complementarity relations play an important role in our discussions on describing quark mixing and lepton mixing in a unified way.

10 latex pages, final version to appear in PRD

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Cited by in corpus (5)

• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• A new relation between quark and lepton mixing matrices
• Quark-lepton complementarity and self-complementarity in different schemes
• A prediction of neutrino mixing matrix with CP violating phase
• Correlating lepton mixing angles and mixing matrix with Wolfenstein parameters