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Remarks on the Qin-Ma Parametrization of Quark Mixing Matrix | | Y. H. Ahn
; Hai-Yang Cheng
; Sechul Oh
; | | Date: |
3 May 2011 | | Abstract: | 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 $90^circ$ 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 $delta$ in both QM and CKM parametrizations is
related to the unitarity angles $alpha$, $eta$ and $gamma$, namely,
$delta= eta+gamma$ or $pi-alpha$. 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 Fritzsch-Xing (FX) parametrization of
the quark mixing matrix, we find that the phase of the FX form is in the
vicinity of $-270^circ$ and hence $sindeltaapprox 1$. We discuss the
seeming discrepancy between the Wolfenstein and QM parametrizations at the high
order of $lambdaapprox |V_{us}|$. | | Source: | arXiv, 1105.0450 | | Services: | Forum | Review | PDF | Favorites | |
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