Wolfenstein Parametrization Re-examined

Details Wolfenstein Parametrization Re-examined Wolfenstein Parametrization Re-examined

1994-11-19

arxiv.org/abs/hep-ph/9411340v4

Phys.Rev.D51:3958-3959,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 Latex pages including a figure; Two references are added

Scientific paper

10.1103/PhysRevD.51.3958

The Wolfenstein parametrization of the $3\times 3$ Kobayashi-Maskawa (KM) matrix $V$ is modified by keeping its unitarity up to the accuracy of $O(\lambda^{6})$. This modification can self-consistently lead to the off-diagonal asymmetry of $V$: $|V_{ij}|^{2}-|V_{ji}|^{2}$ = $Z\displaystyle\sum_{k}\epsilon^{~}_{ijk}$ with $Z=\approx A^{2}\lambda^{6} (1-2\rho)$, which is comparable in magnitude with the Jarlskog parameter of $CP$ violation $J\approx A^{2}\lambda^{6}\eta$. We constrain the ranges of $J$ and $Z$ by using the current experimental data, and point out that the possibility of a symmetric KM matrix has almost been ruled out.

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