2011/05/31 by Y. H. Ahn, Hai-Yang Cheng, Sechul Oh · 1 citation
Chemistry · Physics and Astronomy · #CP violation #Cabibbo–Kobayashi–Maskawa matrix #Chemistry #High-Energy Particle Collisions Research #Matrix (chemical analysis) #Mixing (physics) #Parametrization (atmospheric modeling) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Unitarity #hep-ex #hep-ph
paper · pdf · doi:10.1016/j.physletb.2011.06.052
8 pages, a shortened version accepted by PLB
arxiv created 2011/06/01 · openalex publication_date 2011/06/27 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently, Qin and Ma (QM) have advocated a new Wolfenstein-like parametrization of the quark mixing matrix based on the triminimal expansion of the Cabibbo–Kobayashi–Maskawa (CKM) parametrization. The CP-odd phase in the QM parametrization is around 90° just as that in the CKM parametrization. We point out that the QM parametrization can be readily obtained from the Wolfenstein parametrization after appropriate phase redefinition for quark fields and that the phase δ in both QM and CKM parametrizations is related to the unitarity angles α, β and γ, namely, δ=β+γ or π−α. We show that both QM and Wolfenstein parametrizations can be deduced from the CKM and Chau–Keung–Maiani ones. By deriving the QM parametrization from the exact Fritzsch–Xing (FX) parametrization of the quark mixing matrix, we find that the phase of the FX form is in the vicinity of −270° and hence sinδ≈1. We discuss the seeming discrepancy between the Wolfenstein and QM parametrizations at the high order of λ≈|Vus|.