Parametrization of the quark mixing matrix involving its eigenvalues

Details Parametrization of the quark mixing matrix involving its eigenvalues Parametrization of the quark mixing matrix involving its eigenvalues

2002-09-29

arxiv.org/abs/hep-ph/0209350v1

AIP Conf.Proc.670:73-80,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 11 pages, no figures

Scientific paper

10.1063/1.1594321

A parametrization of the $3\times 3$ Cabibbo-Kobayashi-Maskawa matrix, $V$, is presented in which the parameters are the eigenvalues and the components of its eigenvectors. In this parametrization, the small departure of the experimentally determined $V$ from being moduli symmetric (i.e. $|V_{ij}|=|V_{ji}|$) is controlled by the small difference between two of the eigenvalues. In case, any two eigenvalues are equal, one obtains a moduli symmetric $V$ depending on only three parameters. Our parametrization gives very good fits to the available data including CP-violation. Our value of $\sin 2\beta\approx 0.7$ and other parameters associated with the ` unitarity triangle' $V_{11}V_{13}^{*}+V_{21}V_{23}^{*}V_{31}V_{33}^{*}=0$ are in good agreement with data and other analyses.

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