Parametrization of fermion mixing matrices in Kobayashi-Maskawa form
Nan Qin, Bo-Qiang Ma
TL;DR
This paper systematically studies the Kobayashi-Maskawa form of fermion mixing matrices, exploring parametrizations and their advantages for understanding CP violation and unitarity in quark and lepton mixing.
Contribution
It introduces a systematic analysis of the KM form with various parametrizations, emphasizing quark-lepton complementarity for unified mixing descriptions.
Findings
Detailed triminimal and Wolfenstein-like parametrizations
Advantages of KM form in CP violation studies
Unified description of quark and lepton mixing
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.
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