Triminimal parametrization of quark mixing matrix

2008/09/08 by Xiao-Gang He, Shiwen Li, Shi-Wen Li +1 · 1 citation
Physics and Astronomy · #Neutrino Physics Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph

paper · pdf · doi:10.1103/physrevd.78.111301

published as Phys.Rev.D78:111301,2008 · 9 pages, no figure

arxiv created 2008/09/08 · openalex publication_date 2008/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Starting from a new zeroth order basis for quark mixing (CKM) matrix based on the quark-lepton complementarity and the tribimaximal pattern of lepton mixing, we derive a triminimal parametrization of a CKM matrix with three small angles and a CP-violating phase as its parameters. This new triminimal parametrization has the merits of fast convergence and simplicity in application. With the quark-lepton complementary relations, we derive relations between the two unified triminimal parametrizations for quark mixing obtained in this work and for lepton mixing obtained by Pakvasa-Rodejohann-Weiler. Parametrization deviating from quark-lepton complementarity is also discussed.

Citations

• Review of Particle Physics
• Unitary Parametrization of Perturbations to Tribimaximal Neutrino Mixing
• Quark–lepton complementarity in unified theories
• Symmetries and generalisations of tri-bimaximal neutrino mixing
• Parameterizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Nearly tri-bimaximal neutrino mixing and CP violation
• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• CP-Violation in the Renormalizable Theory of Weak Interaction

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• Parametrization of fermion mixing matrices in Kobayashi-Maskawa form