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Wolfenstein Parametrization at Higher Order: Seeming Discrepancies and Their Resolution

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arxiv 1106.0935 v2 pith:NV34NZFQ submitted 2011-06-05 hep-ph hep-ex

Wolfenstein Parametrization at Higher Order: Seeming Discrepancies and Their Resolution

classification hep-ph hep-ex
keywords discrepanciesorderparametrizationsseemingdifferenthigherlambdamatrix
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In different Wolfenstein parametrizations derived from different exact parametrizations of the Cabibbo-Kobayashi-Maskawa matrix, we explicitly study seeming discrepancies between the matrix elements at the higher order of the expansion parameter $\lambda$. A systematic way of resolving the seeming discrepancies is proposed. We find that most of the discrepancies can be naturally resolved by a proper redefinition of the numerically small (of order $\lambda$) parameters. Our approach is further applied to the cases for the Wolfenstein-{\it like} parametrizations, such as the Qin-Ma parametrization.

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