The $α$, $β$ and $γ$ parameterizations of CP violating CKM phase

Details The $α$, $β$ and $γ$ parameterizations of CP violating CKM phase The $α$, $β$ and $γ$ parameterizations of CP violating CKM phase

2012-04-05

arxiv.org/abs/1204.1230v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 page, 1 figure

Scientific paper

The CKM matrix describing quark mixing with three generations can be parameterized by three mixing angles and one CP violating phase. In most of the parameterizations, the CP violating phase chosen is not a directly measurable quantity and is parametrization dependent. In this work, we propose to use experimentally measurable CP violating quantities, $\alpha$, $\beta$ or $\gamma$ in the unitarity triangle as the phase in the CKM matrix, and construct explicit $\alpha$, $\beta$ and $\gamma$ parameterizations. Approximate Wolfenstein-like expressions are also suggested.

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