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The , and parameterizations of CP violating CKM phase
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, , or
in the unitarity triangle as the phase in the CKM matrix, and
construct explicit , and parameterizations.
Approximate Wolfenstein-like expressions are also suggested.Comment: 14 page, 1 figur
The angle as the CP violating phase in the CKM matrix
The CKM matrix describing quark mixing with three generations can be
parameterized by three Euler 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 the most accurately measured CP violating angle in the unitarity
triangleas the phase in the CKM matrix, and construct an explicit
parameterization. We also derive an approximate Wolfenstein-like expression for
this parameterization.Comment: RevTex 7 pages with one figure. Version to be published in Phys.
Lett. B. arXiv admin note: substantial text overlap with arXiv:1204.123
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