A new simple form of quark mixing matrix

Abstract

Although different parametrizations of quark mixing matrix are mathematically equivalent, the consequences of experimental analysis may be distinct. Based on the triminimal expansion of Kobayashi-Maskawa matrix around the unit matrix, we propose a new simple parametrization. Compared with the Wolfenstein parametrization, we find that the new form is not only consistent with the original one in the hierarchical structure, but also more convenient for numerical analysis and measurement of the CP-violating phase. By discussing the relation between our new form and the unitarity boomerang, we point out that along with the unitarity boomerang, this new parametrization is useful in hunting for new physics.

10 pages, 1 figure, final version for journal publication

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• An exact CKM matrix related to the approximate Wolfenstein form
• Parametrization of fermion mixing matrices in Kobayashi-Maskawa form
• A prediction of neutrino mixing matrix with CP violating phase
• Recent Neutrino Data and a Realistic Tribimaximal-like Neutrino Mixing Matrix
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• Predicting ${\delta }^{\text{PMNS}}$, ${\theta }_{23}^{\text{PMNS}}$ and fermion mass ratios from flavour GUTs with CSD2
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• Simple parametrization of neutrino mixing matrix
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